Which of the following points solves the system shown below?
y = 5x -9
y = -2x + 12
Choose from the following...
1) (1, -4) 2) (2,8) 3) (3,6) 4) (-3, 18)

Answers

Answer 1

Answer:

(3,6)

Step-by-step explanation:

Collect like terms

y -5x = -9

y + 2x = 12

Using elimination method

Subtract equation 2 from equation 1

y - 5x = -9

y + 2x = 12

---------------

0. -7x = -21

Divide both sides by -7

-7x = -21

---- -----

-7 -7

x = 3

Substitute x=3 into equation 1

y = 5(3) - 9

y = 15 - 9

y = 6

Solution is (x,y) = (3,6)


Related Questions

In 2015, ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?.

Answers

The rate of change from 2015 to 2017 is -$250

The amount he spend for lunch in 2015 = $800

The amount he spend for lunch in 2017 = $300

Therefore the total change = The amount he spend for lunch in 2017 - The amount he spend for lunch in 2015

Substitute the values in the equation

= 300 - 800

= -500

The total years from 2015 to 2017 = 2 years

The rate of change from 2015 to 2017 = The total change / The total years from 2015 to 2017

= -500 / 2

= -$250

Hence, the rate of change from 2015 to 2017 is -$250

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i need help with this as soon as possible

i need help with this as soon as possible

Answers

Yes the graph does show a proportional relationship because each x value has only one y value

a. Translate the following statements to their corresponding SYMBOLIC expressions. Be sure to use statement indicators and connective indicators in your translation to produce conditional statements. A TRANSLATION KEY MUST BE PROVIDED FOR EACH EXERCISE (see above for an example).

1) If it is raining, then Jack will not go to the baseball game.

2) I eat, if I'm hungry.

3) Jack watches football on T.V. only if the Ohio State team is playing.

4) Janet plays with weird pets unless it is a tarantula.

5) When I watch a baseball game, I eat several hot dogs.

b. For these five statements above, identify the antecedent and the consequent for each conditional.

Answers

If it rains, Jack will not attend the baseball game.

P: It is raining.

Q: Jack will not be attending the baseball game.

P is the antecedent, and Q is the consequent.

(If P is true, then Q is true.)

If it rains, Jack will not be able to attend the baseball game.

What is symbolic expression?  

Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.

Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.

A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.

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Let A={(x-3)/(x-2)ЄR : X<0}
be a subset of real numbers.
i) Define A's supremum and infimum.

Answers

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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Which choice shows a true conditional, with the hypothesis and conclusion identified correctly?
A:
If two lines intersect at right angles, then the two lines are perpendicular.
Hypothesis: Two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
B:
If two lines intersect at right angles, then the two lines are perpendicular.
Hypothesis: Two lines are perpendicular.
Conclusion: Two lines do not intersect at right angles.
C:
Two lines are parallel if the lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: Two lines are parallel.
D:
Two lines are perpendicular if the lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: Two lines are perpendicular.

Answers

Answer:A:

If two lines intersect at right angles, then the two lines are perpendicular.

Hypothesis: Two lines are perpendicular.

Conclusion: Two lines intersect at right angles.

Step-by-step explanation:

Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Show your work

Answers

(kinda confused of what the question is) her guess was 90 away

Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE​

Answers

Answer:

y= 1/6x + 8

Step-by-step explanation:

\(\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.\)

pleasee help! :((
Select the correct answer.
Consider the graph of the function
f(x)=2^x

Which statement describes a key feature of function g if ?
g(x)= f(x-4)

A.
horizontal asymptote of
B.
horizontal asymptote of
C.
y-intercept at
D.
y-intercept at

Select the correct answer.
Consider the graph of the function .

A nonlinear function on a coordinate plane passes through (2.2, 5), (minus 5, 0) and intercepts the y axis at (1, 0).

Which statement describes a key feature of function g if ?

A.
horizontal asymptote of
B.
horizontal asymptote of
C.
y-intercept at
D.
y-intercept at

pleasee help! :((Select the correct answer.Consider the graph of the function f(x)=2^xWhich statement

Answers

The option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the picture, we have given a function:

We have a function:

g(x) = 4log(x) + 4

To find x-intercept plug g(x) = 0

0 = 4logx + 4

x = 0.1

(0.1, 0)

The vertical asymptote:

x = 0

The range of a function:

(-∞, ∞)

Thus, the option range of a function is (-∞, ∞), x-intercept of (0.1, 0), and the vertical asymptote is x = 0.

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pleasee help! :((Select the correct answer.Consider the graph of the function f(x)=2^xWhich statement

the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?

Answers

The department's sales per square foot are $51.16 per square foot.

What is division?

Division is the process of dividing a number by a given number.

Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.

The sales per square foot are:

(total sales)/ (total area)

= 15349/300

= 51.16

Hence, the department's sales per square foot are $51.16 per square foot.

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( t^15/27x^9 ) ^-2/3

Please solve this
it is fraction with a negative fraction exponent

Answers

Answer:

Step-by-step explanation:

Exponent laws:

\((a^{m})^{n}=a^{m*n}\\\\a^{-m}=\frac{1}{a^{m}}\)

\((t^{\frac{15}{27}}x^{9}})^{\frac{-2}{3}}= \ t^{\frac{15}{27}*\frac{-2}{3}}*x^{9*\frac{-2}{3}}\\\\\\= t^{\frac{5}{9}*\frac{-2}{3}}*x^{3*-2}\\\\=t^{\frac{-10}{27}}x^{-6}\\\\=\frac{1}{t^{\frac{10}{27}}x^{6}}\)

A kite is flying at a height of 60 m and is attached to a string inclined at 30° to the horizontal. What is the length of the string? (
The length of the string is 120 m.
The length of the string is about 70 m.
• The length of the string is 30 m.
The length of the string is about 104 m.

Answers

Answer: 120

Step-by-step explanation:

Because it is

Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?

Answers

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

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A minimum element is deleted from a (min) binary heap with N elements. The running time worst case of this operation is
a. O(N)
b. O(N2)
c. O(logN)
d. O(NlogN)

Answers

(c) The worst-case running time of deleting the minimum element from a (min) binary heap with N elements is O(logN).

Determine the binary heap?

In a binary heap, the minimum element is always located at the root, which is the topmost element of the heap. When the minimum element is deleted, it needs to be replaced with a new element from the heap in order to maintain the heap property.

The process of replacing the root element and restoring the heap property is known as "heapify" or "heap-down." In the worst case, the replacement element may need to be compared and swapped multiple times with its children until it reaches its correct position in the heap.

Since the height of a binary heap is logarithmic with respect to the number of elements (N), the worst-case number of comparisons and swaps required during the heap-down process is proportional to the height of the heap, which is O(logN).

Therefore, (c) the worst-case running time of deleting the minimum element from a binary heap is O(logN).

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In the following equation ? = 30,000 + 4x with given sales (γ in
$500) and marketing (x in dollars), what does the equation
imply?
a) An increase of $1 in marketing is associated with an increase
of $32,000 in sales.
b) An increase of $4 in marketing is associated with an increase
of $2,000 in sales.
c) An increase of $4 in marketing is associated with an increase
of $32,000 in sales.
d) An increase of $1 in marketing is associated with an increase
of $2,000 in sales.

Answers

The equation can be written as y = 4x + 30,000, equation implies that an increase of $4 in marketing (x)

is associated with an increase of $32,000 in sales (γ). This can be seen by observing the coefficient of x, which is 4, and the constant term, which is 30,000. This means that for every $4 increase in marketing, there is an increase in sales of $4 multiplied by 8, which is equal to $32,000.

To put it in mathematical terms, the slope of the line is 4, which means that for every unit increase in x, y (sales) increases by 4 units. The y-intercept is 30,000, which means that when x (marketing) is equal to 0, y (sales) is equal to 30,000.

Therefore, the equation can be written as y = 4x + 30,000, which shows that an increase of $4 in marketing is associated with an increase of $32,000 in sales.

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The electromotive force V of an alternating current circuit at time t can be describe by the
following function, where V is volts and t is in seconds. V(t) = 220sin(180πt). How many cycles
will the circuit run through in 1 minute?​

Answers

Answer:

5400 cycles

Step-by-step explanation:

You have the following function:

\(V(t)=220sin(180\pi t)\)

where t is in seconds.

In order to find the number of cycles in 1 minute, you first  calculate the frequency of the function, which is given by:

\(f=\frac{180\pi}{2\pi}=90s^{-1}\)

The number of cycles is then given by:

\(n=ft=(90s^{-1})(60s)=5400\ cycles\)

There are 5400 cycles in 1 minute

CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!

CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!

Answers

no because you wouldn't switch the fraction upside down to make it opposite.

Answer:

What Doug probably means to say is that the reciprocal of -2/5 is 5/-2. So, by this definition, Doug would be correct. However, you would not usually call it the "opposite" of a number, rather, the reciprocal.

The numbers are reciprocals of the other as their product is equal to one "-2/5 * 5/-2 = 1"

all included in the picture​

all included in the picture

Answers

Answer:

(-4,3)

Step-by-step explanation:

Answer:

Option 1 :  (-4,3)

Step-by-step explanation:

When doing coordinates we always go across first the up or down.

Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.

Therefore our answer must be (-4,3)

Simplify: -2(8) + 7 =

Answers

Answer:

This equals -9

Step-by-step explanation: Im smart

the answer is -9
-2(8)= -16
-16+7= -9

make g the subject of the formula in w = 7 - sqrt g​

Answers

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

Kersey walked 4 kilometers in 30 minutes. Which of these rates is his speed? Select one: 8 kilometers per hour 8 hours per kilometer 120 kilometers per hour 120 hours per kilometers

Answers

Answer:

120km per hour

Step-by-step explanation:

speed = distance x time (use formula)

so speed = 4 x 30 = 120

hope it helps

Answer:

8hours per 120 Kilometers  

These triangles can be proven congruent by:
- ASA
- AAS
- SSS
- HL
- SAS
- Can't be proven

These triangles can be proven congruent by:- ASA- AAS- SSS- HL- SAS- Can't be proven

Answers

SSS because all of the sides are equal

Complete the table for the given rule.
Rule: y=x/2
(X over 2)

X y
X 1
X 2.5
X 3.5

Answers

Answer y = X/2

How to complete the table using  y=x/2 (X over 2) rule ?

The given function is a linear function passing through Origin.

We have to Complete the table using the given rule.

y=x/2

1.→ 1= x/2

x=2

2.→ 2.5=x/2

x=5

3.→2=3.5=x/2

x=7

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Can you please help the pic is below

Can you please help the pic is below

Answers

Answer:

4.6x3=13.8

0.46x3=1.38

Step-by-step explanation:

The chance a 6-year-old child will catch a ball that’s thrown to them from 30 feet is .4. If a ball is thrown 15 times, and we’re interested in the probability that the child will catch 10 or more balls, what are N, P, and X, respectively? What is the probability the child will catch 10 or more balls?

Answers

The probability that the child will catch 10 or more balls is approximately 0.4757 or 47.57%

In this scenario, we can model the number of successful catches by the child using a binomial distribution. Let's identify the values of N, P, and X, and calculate the probability.

N: N represents the number of trials or attempts. In this case, the ball is thrown 15 times, so N = 15.

P: P represents the probability of success in a single trial. Here, the chance of the child catching a ball is given as 0.4, so P = 0.4.

X: X represents the number of successful outcomes we are interested in. In this case, we want to find the probability that the child will catch 10 or more balls, so X = 10, 11, 12, 13, 14, 15.

To calculate the probability, we need to sum the probabilities of each individual outcome. We can use the binomial probability formula:

P(X=k) = (N choose k) * P^k * (1-P)^(N-k)

Let's calculate the probability using the formula for each value of X and sum the probabilities for X ≥ 10:

P(X ≥ 10) = P(X=10) + P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15)

P(X ≥ 10) = [ (15 choose 10) * (0.4^10) * (0.6^5) ] + [ (15 choose 11) * (0.4^11) * (0.6^4) ] + [ (15 choose 12) * (0.4^12) * (0.6^3) ] + [ (15 choose 13) * (0.4^13) * (0.6^2) ] + [ (15 choose 14) * (0.4^14) * (0.6^1) ] + [ (15 choose 15) * (0.4^15) * (0.6^0) ]

Now, we can calculate the probability:

P(X ≥ 10) ≈ 0.0032 + 0.0172 + 0.0524 + 0.1083 + 0.1651 + 0.1295

P(X ≥ 10) ≈ 0.4757

Therefore, the probability that the child will catch 10 or more balls is approximately 0.4757 or 47.57%

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-4×(-2)[2×(-6)+3×(2×6-4-4)]

Answers

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

hurrryyyyy!!!! Need answer for work.

hurrryyyyy!!!! Need answer for work.

Answers

Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months. Based on this information about the student’s plan, which statement about the possible choices for a college is true?

Answers

The correct answer choice:

The student would be able to afford the in-state cost for one year at a public 2-year college.

The correct option is D.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A student is planning to attend college in 5 years.

The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

The total savings,

= 1200 + (50 x 60)

= $4200

That is equivalent to the cost of one year at a public 2-year college.

Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.

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The table shows the cost per year of attending different types of colleges.

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about the student's plan, which statement about the possible choices for a college is true?

Answer choices

The student would be able to afford the cost for one year at a private 4-year college.

The student would be able to afford out-of-state cost for half a year at a 4-year public college.

The student would be able to afford in-state cost for half a year at a public 4-year college.

The student would be able to afford in-state cost for one year at a public 2-year college.

Factor the quadratic expression completely.
2x2 + 7x + 3

Answers

Answer:

(2x+1)(x+3)

Step-by-step explanation:

just remember to put a ^ when you do this 2x2 put it like this 2x^2

an you welcome and plz give me brainiest

Can somebody please help

Answers

Answer:

for what

Step-by-step explanation:

i didnt see anything

Can somebody please help

very fast
Show, by induction, that \( T(n)=10 n^{2}-3 n \quad \) if \( n=1 \)

Answers

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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