Can someone help me

Can Someone Help Me

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

Graph y = 5x + 17 on a graph.

Do the y-intercept, which is 17. Then from there do the slope, which is 5 or 5/1.

For -2x + 3y = 14 you have to put back into the y = mx + b format.

First add 2x to 14.

3y = 14 + 2x

or 3y = 2x +14

Then divide by 3 to get y by itself.

y = 2/3 x + 14/3

or

y = 2/3 x + 4

Then you can graph that onto the same graph as before.

Both lines intercept each other at ( -3, 2 ).


Related Questions

The diagonals of kite KITE intersect at point P. If TKE= x+6 and IEK= 2x, find IKE

Answers

The length of IKE is 2x - 12.

What is equation?

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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The diagonals of kite KITE intersect at point P. If TKE= x+6 and IEK= 2x, find IKE

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. How many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from?

Answers

Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.

To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.

Using the multiplication principle, there are

8 x 8 x 8 x 8 = 4096

ways to choose the toppings. Similarly, there are

6 x 6 x 6 = 216

ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are

4096 x 216 x 6 = 53,248,

which means there are 53,248 ways to make the super subs.

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Annie round $280. 05$ to the nearet hundred. Bobby round $280. 05$ to the nearet ten. Ciro round $280. 05$ to the nearet integer. Denie round $280. 05$ to the nearet tenth. What i the um of Annie' anwer, Bobby' anwer, Ciro' anwer, and Denie' anwer?

Answers

The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.

What is rounding off the numbers?

A number is simplified when it is rounded off, preserving its value while moving it closer to the next number. It is done for whole numbers as well as decimals at various places of hundreds, tens, tenths, etc.

If the number following the decimal is between 0 and 4, a number may be rounded off to its lowest value. If the number after it is between 5 and 9, the number will be rounded off to a greater value.

Annie rounds $ 280.05 to the nearest hundred

$ 280.05 will be equal to $ 300

Bobby rounds $ 280.05 to the nearest ten

$ 280.05 will be equal to = $ 280

Ciro rounds $ 280.05 to the nearest integer

$ 280.05 will be equal to = $ 280

Denise rounds $ 280.05 to the nearest tenth

$ 280.05 will be equal to = $ 280.1

Then, the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer = $ 300 + $ 280 + $ 280  + $ 280.1 = $ 1140.1

Therefore,

The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.

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If the ratio of tourists to locals is 4:5 and there are 100 tourists at the opening of a new museum, how many locals are in attendance?

Answers

Answer:

125.

Given:

The ratio of the tourist to locals is 4:5There are 100 tourist at the opening.

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

In mathematics, ratios indicate the number of times one number contains another number.

For example, if a fruit bowl contains 8 oranges and 6 lemons, the ratio of oranges to lemons is 8 to 6. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to whole fruit is 8:14.

A ratio number can be any kind of quantity,  such as the number of people or things, or measurements such as length, weight, or time.

In most situations, both numbers are constrained to be positive.

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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2. Select ALL of the sets to which the number belongs. 144 Natural Whole Integer Rational Irrational​

Answers

Answer:

144 is:

Natural

Whole

Integer

Rational

\(\sqrt{144}\) is:

Irrational

Step-by-step explanation:

Natural-All positive integers (144 applies) (\(\sqrt{144}\) does not apply)

Whole-All positive integers and zero (144 applies) (\(\sqrt{144}\) does not apply)

Integer- All positive and negative whole numbers and zero (144 applies)  (\(\sqrt{144}\) does not apply)

Rational-All integers, fractions, and non-repeating decimals (144 applies)  (\(\sqrt{144}\) does not apply)

Irrational-A real numbers that are NOT rational (144 does not apply)  (\(\sqrt{144}\) applies)

Now if you want to find which groups \(\sqrt{144}\) belongs to, you must ask if this applies to any rules.

I need help with this problem

I need help with this problem

Answers

Answer:

\(4 \: \: ft\)

Answer D is correct

Step-by-step explanation:

\(64 = x \times x \times x \\ {x}^{3} = 64 \\ x = 4\)

to check whether the answer correct or wrong

\(x \times x \times x \\ 4 \times 4 \times 4 \\ 16 \times 4 \\ = 64\)

The answer is 16
Proof: 64 divided by 4 is 16 or 16 times 4 is 64

Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.
1. The beginning balance of Office Supplies:
2. The amount to be adjusted (show your calculation):
3. The ending balance of the account after the adjustment (show your calculation):
4. Adjusting Journal Entry (please include description):

Answers

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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a study by the national center for education statistics found that 1 out of 5 students reported being bullied

Answers

So what’s the actual question? 1/5 is a statistic did you need a percent if so it’s 20%

A small business owner is applying for a small business loan and has been approved for a $50,000 loan with 5.25% annual interest. The first loan is a simple interest rate, the
second loan compounds interest quarterly, and the third loan compounds interest continuously. The small business owner plans to pay off the loan in 3 years and 8 months.

Part A: Determine the total value of the loan with the simple interest. Show all work and round your answer to the nearest hundredth.

Part B: Determine the total value of the loan with the guarterly compounded interest. Show all work and round your answer to the nearest hundredth.

Part C: Determine the total value of the loan with the continuously compounded interest. Show all work and round your answer to the nearest hundredth.

Part D: Using the values from Parts A, B, and C, explain which loan option is the best choice for the small business owner.

Answers

The best choice for the small business owner would be the loan with continuously compounded interest, as it results in the lowest overall cost.

Part A: To determine the total value of the loan with simple interest, we need to calculate the interest accrued over the loan term and add it to the principal.Interest = Principal * Interest Rate * Time

= $50,000 * 0.0525 * (3 + 8/12) years

= $50,000 * 0.0525 * 3.67

= $9,573.75

Total Value of the Loan = Principal + Interest

= $50,000 + $9,573.75

= $59,573.75

Part B: For quarterly compounded interest, we use the formula A = P(1 + r/n)^(n*t), where A is the final amount, P is the principal, r is the interest rate, n is the number of compounding periods per year, and t is the time in years.

A = $50,000(1 + 0.0525/4)^(4 * 3.67)

= $50,000(1.013125)^14.68

= $50,000 * 1.2071

= $60,355.00

Part C: For continuously compounded interest, we use the formula A = P * e^(r*t), where A is the final amount, P is the principal, r is the interest rate, e is the mathematical constant approximately equal to 2.71828, and t is the time in years.

A = $50,000 * e^(0.0525 * 3.67)

= $50,000 * e^(0.1922175)

= $50,000 * 1.2113

= $60,565.00

Part D: Comparing the total values of the loans, we can see that the loan with continuously compounded interest has the highest total value ($60,565.00), followed by the loan with quarterly compounded interest ($60,355.00), and the loan with simple interest ($59,573.75).

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Please discuss whether or not the following problems are data mining tasks. Explain why. [30 points]

3(a). Retrieve students' records from a relational table with grade = "A". [5 points]

3(b). From the table of students' information, check if attributes last name and address have any correlations. [5 points]

3(c). Find all the documents from the text database containing keywords "data mining". [5 points]

3(d). Divide the text database into several groups, each group containing near-duplicate or similar documents. [5 points]

3(e). Based on historical stock data, as well as other attributes (e.g., gold price, gas price, etc.) for the past few days, predict the trend of a stock tomorrow. [5 points]

3(f). Please provide your own example of the data mining.

Answers

All  the following problems are data mining tasks.

(a) Retrieving students' records from a relational table with a grade = "A" involves extracting specific data from a database, which is a fundamental task in data mining.

(b) Checking correlations between attributes like last name and address in a table of students' information involves analyzing the relationship between different variables, which is a data mining task.

(c) Finding documents containing specific keywords ("data mining") from a text database involves searching for patterns in unstructured data, which is a typical data mining task.

(d) Dividing a text database into groups of near-duplicate or similar documents requires identifying similarities or patterns within the data, which is a common task in data mining, such as clustering or classification.

(e) Predicting the trend of a stock based on historical stock data and other attributes involves analyzing patterns and relationships within the data, making it a predictive data mining task.

(f) Example: Analyzing customer purchase history to identify patterns and associations between products and customer preferences, enabling personalized product recommendations and targeted marketing campaigns.

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urgent answer needed pls​

urgent answer needed pls

Answers

Answer:

25.

SEE THE IMAGE FOR SOLUTION

urgent answer needed pls

Approximately 20% of all child abuse involves intentional burning. The majority of the children intentionally burned are of what age

Answers

The majority of the children intentionally burned in cases of child abuse are typically in the age range of 0 to 5 years old.

Child abuse involving intentional burning is a distressing issue, and understanding the age group most affected can help address and prevent such incidents. While there is no specific age mentioned in the question, we can provide a general understanding based on available data and trends. Child abuse can occur across various age groups, but infants and young children are often particularly vulnerable.

According to studies and reports, children between the ages of 0 to 5 years old are most commonly affected by intentional burning in cases of child abuse. This age group is particularly vulnerable due to their dependency on caregivers and limited ability to protect themselves. The specific age range may vary depending on different studies or sources, but it is important to note that children in their early years are at a higher risk.

Therefore, the majority of the children intentionally burned in cases of child abuse are typically in the age range of 0 to 5 years old.

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15s-100=350 Can someone answer please.

Answers

Answer:

15s=350+100

15s=450

s=450/15

s=30

Hope it helps:-)

PLEASE HELP!! will give brainliest if correct! Also plz no copied answers!

Answers

Answer:

What is the question

Step-by-step explanation:

we first plot the points to determine the sides. next find the slopes of the three sides. we find that the slope of ab is 4/6 , the slope of ac is -3/2 , and the slope of bc is -5/12 . two lines are perpendicular to one another when the product of their slopes is equal to . thus, we see that ---select--- are perpendicular sides, and abc ---select--- .

Answers

The triangle ABC is right angled triangle as product of slope of line AB and line AC is equal to -1.

Slope of line AB = 4 /6

Slope of line AC = - 3/2

Slope of line BC = -5/12

Two lines are perpendicular to one another when the product of their slopes is equal to -1.

Slope of line AB × Slope of line AC

= ( 4/6 ) × ( -3/2 )

= (-12 / 12 )

= -1

Thus, the sides AB and AC are perpendicular.

This implies that ,

Triangle ABC is a right triangle.

Therefore, the product of the slope of line AB and AC is -1 and triangle ABC is right triangle.

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help please anyone?
giving brainliestt

help please anyone?giving brainliestt

Answers

Answer:

School Y = 4 points

School X = 12 points

Step-by-step explanation:

school x=school y+8

school x=3 school y

x=y+8

x=3y

3y=y+8

2y=8

y=4

x=12

what is the answer for this

(−3c 4 −5c 2 −7c)+(4c 4 +8c 3 +2c 2 )

Answers

Answer:

c^4 + 8c^3 - 3c^2 - 7c

Step-by-step explanation:

Simplify (−3c 4 −5c 2 −7c) + (4c 4 +8c 3 +2c 2 ),

Which will take you the second portion of -3c^4 - 5c^2 - 7c + 4c^4 + 8c^3 + 2c^2

Combine like terms : 3c^4 + 4c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Add Similar elements: c^4 + 8c^3 - 5c^2 + 2c^2 - 7c

Do the final combining leaving you with the answer of :

c^4 + 8c^3 - 3c^2 - 7c

At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding

find the ratio of the groom's family to the bride's family at the wedding ​

Answers

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The answer is 96 people in total.

Explanation- 50+56 Is 106. So 106- 10=96.

There is your answer 96.

Ryan used 50 apples to make several pies. He put the same number of apples in each pie. He had 1 apple left over. How many pies did he make ?

Answers

Answer:

7

Step-by-step explanation:

50-1 = 49

Since all pies must have the same amount of apples, we can do √49 and get 7, meaning there are 7 pies with 7 apples each.

Answer: 7

Step-by-step explanation: of he had 1 apple left, he used 49 Apples.

if he used sane number of apple in each pie, we can use square root of 49 which is 7

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 5?

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is

Answers

Given

\(QS\perp US\)

similar triangles = QRS and STU

Find

Missing statement .

Explanation

As we have given

\(QS\perp US\)

similar triangles QRS and STU

by property of similar triangle we have ,

\(\frac{QR}{RS}=\frac{ST}{TU}\)

Slope of QS * Slope of US =

\(\frac{QR}{RS}\times\frac{-TU}{ST}\)

now , substituting the property of equality

Slope of QS * Slope of US =

\(\frac{ST}{TU}\times-\frac{TU}{ST}\)

So,

Slope of QS * Slope of US = -1

Final Answer

Missing statement =

\(Slope\text{ of QS }\times Slope\text{ of US =}\frac{\text{ST}}{\text{ }TU}\times\frac{-TU}{ST}\)

Correct option is A.

recall that an event is a collection of sample points, and the probability of an event is the sum of the probabilities of the sample points in the event. the sample points were given to be e1, e2, e3, e4, e5, e6, and e7. event a is made up of the sample points e1, e4, and e6. thus, how can the probability of event a be determined? p(e1) p(e4) p(e6) p(e2) p(e3) p(e5) p(e7) event b is made up of the sample points e2, e4, and e7. thus, how can the probability of event b be determined? p(e2) p(e4) p(e7) p(e1) p(e3) p(e5) p(e6) event c is made up of the sample points e2, e3, e5, and e7. thus, how can the probability of event c be determined? p(e2) p(e3) p(e5) p(e7) p(e1) p(e4) p(e6)

Answers

To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

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can some one explain please​

can some one explain please

Answers

what kind of question is this lol ? i don’t even understand it

60% of 10 is what number?

Answers

Percentage is expressed in terms of 100. Thus,

60% of 10 would be expressed as

60/100 * 10

= 6

Thus, 60% of 10 is 6

6.
Consider the equation:
4(2 + px) = 12x
For what value of p does the equation have no solution?
A 1
B. 3
C 12
D. 48

Answers

Answer:

p = 3

Step-by-step explanation:

Given

4(2 + px) = 12x

If the coefficient of the x- term is the same on both sides of the equation, it will have no solution.

Distributing gives

8 + 4px = 12x ( equate the coefficients of the x- term )

4p = 12 ( divide both sides by 4 )

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

4(2 + px) = 12x

8 + 4px = 12x

If the coefficient of the x-term is the same on both sides of the equation, it will have no solution.

4p = 12

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

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Can somebody help me? -2-7p<26

Answers

Answer: p>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2−7p<26

Step 1: Simplify both sides of the inequality.

−7p−2<26

Step 2: Add 2 to both sides.

−7p−2+2<26+2

−7p<28

Step 3: Divide both sides by -7.

−7p

−7

<

28

−7

p>−4

Giving 25 points if you answer correctly. Please help thank you

Giving 25 points if you answer correctly. Please help thank you

Answers

1.D 2.C 3.B 4.A hope this helps

order these fractions from least to greatest 5 1/11, 5.576, 5.57, 101/20

Answers

Answer: 101/20, 5 1/11, 5.57, 5.576

Step-by-step explanation:

I hope this is correct :D

In lecture, we discussed training a neural net f
w

(x) for regression by minimizing the MSE loss L(w)=
n
1


i=1
n

(f
w

(x
i

)−y
i

)
2
, where (x
1

,y
1

),…,(x
n

,y
n

) are the training examples. However, a large neural net can easily fit irregularities in the training set, leading to poor generalization performance. One way to improve generalization performance is to minimize a regularized loss function L
λ

(w)=L(w)+
2
1

λ∥w∥
2
, where λ>0 is a user-specified constant. The regularizer
2
1

λ∥w∥
2
assigns a larger penalty to w with larger norms, thus reducing the network's flexibility to fit irregularities in the training set. We can also interpret the regularizer as a way to encode our preference for simpler models. Show that a gradient descent step on L
λ

(w) is equivalent to first multiplying w by a constant, and then moving along the negative gradient direction of the original MSE lossL(w)

Answers

If a large neural net can easily fit irregularities in the training set, it leads to poor generalization performance. To improve the generalization performance, one way is to minimize a regularized loss function. The regularizer assigns a larger penalty to w with larger norms, thus reducing the network's flexibility to fit irregularities in the training set. It can also be interpreted as a way to encode our preference for simpler models. A gradient descent step on Lλ(w) is equivalent to first multiplying w by a constant (1 - 2α λ/n), and then moving along the negative gradient direction of the original MSE loss L(w).

Optimization of neural networks is an important task and it involves finding a good set of weights that can minimize the error of the network. Therefore, to improve the performance of a neural network, we can use a regularized loss function Lλ(w) which minimizes the mean squared error (MSE) of the predicted output and actual output and also imposes a penalty on the weights. The term ∥w∥ 2 is the L2 regularization term. It assigns a larger penalty to the weights with larger norms, thus reducing the network's flexibility to fit irregularities in the training set. We can also interpret the regularizer as a way to encode our preference for simpler models. Let's assume that L(w) is the mean squared error (MSE) loss function and w is the weight vector. The negative gradient of the MSE loss function is given as, ∇L(w) = \(\sum (f_w(x_i) - y_i) x_i. (1 \leq  i \leq n)\).Computing the gradient of the regularized loss function, L(w) = \(1/n\sum (f_w(x_i) - y_i)^2\) ∥w∥²λ. The gradient of L(w), ∇L(w) = \((2/n) \sum (f_w(x_i) - y_i) x_i\) + (2λ/n) ⇒w = \(2/n (\sum(f_w(x_i) - y_i) x_i \)+ λ w)The weight vector is updated as w ← w - α ∇L(w) (α is the learning rate). Therefore,w ← w - α (2/n) \((\sum(f_w(x_i) - y_i) x_i\) + λ w) = (1 - 2α λ/n) w - α (2/n) \(\sum(f_w(x_i) - y_i) x_i\)

Thus, the gradient descent step on the regularized loss function Lλ(w) is equivalent to first multiplying w by a constant (1 - 2α λ/n) and then moving along the negative gradient direction of the original MSE loss L(w).

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A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?

Answers

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

3. Zoe is attempting to balance her checkbook. She had a beginning balance of $1, 235.46 at the beginning of the month. She
made a deposit in the amount of $83.49, then wrote check 1206 for $36.86. The next day she wrote check 1207 and check
1208 for $254.34. Zoe forgot to write the amount of check 1207 into her check register. Zoe's statement shows an ending
balance of $842.98. Find the amount of check 1207.

Answers

We can start by using algebra to represent the given information. Let x be the amount of check 1207.

What does a math equation mean?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The beginning balance: 1,235.46

The deposit: + 83.49

Check 1206: - 36.86

Check 1207: - x

Check 1208: - 254.34

Ending balance: 842.98

We can then set up an equation to represent the balance after all the transactions are made:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

Simplifying the equation:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

1,235.46 + 46.63 - x = 1,087.32

x = 1,235.46 + 46.63 - 1,087.32

x = 194.77

So the amount of check 1207 is $194.77

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