What is the slope of the line that passes thru (4,-12 and (7,6)

1.  the solutions to the equation (x+5)² = 9 are x = -8 and x = -2.

2.Clare's reasoning correctly yields the solutions x = -2 and x = -8, which match the solutions obtained through completing Tyler's work.

1. Let's complete Tyler's work and solve the equation:

(x+5)² - 9

(x+5)(x+5) = 9

Using the FOIL method (First, Outer, Inner, Last) to expand the product:

x(x+5) + 5(x+5) = 9

x² + 5x + 5x + 25 = 9

x² + 10x + 25 = 9

Now, let's rearrange the equation to bring all terms to one side:

x² + 10x + 25 - 9 = 0

x² + 10x + 16 = 0

To solve this quadratic equation, we can factor it:

(x+8)(x+2) = 0

Setting each factor equal to zero:

x+8 = 0 or x+2 = 0

Solving for x in each equation:

x = -8 or x = -2

Therefore, the solutions to the equation (x+5)² = 9 are x = -8 and x = -2.

2. Clare's reasoning is based on the fact that if a squared term equals a constant (in this case, 9), then the square root of that constant will have two possible solutions: one positive and one negative. By considering (x+5) as either 3 or -3, Clare is essentially setting up two separate equations:

x+5 = 3 or x+5 = -3

Solving for x in each equation:

For x+5 = 3:

x = 3 - 5

x = -2

For x+5 = -3:

x = -3 - 5

x = -8

Thus, Clare's reasoning correctly yields the solutions x = -2 and x = -8, which match the solutions obtained through completing Tyler's work.

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Answer:

He did not take anything

Step-by-step explanation:

Answer:

Hi there!

Your answer is;

A) her bravery

Explanation:

Using background knowledge of the bravery & courage that Harriet Tubman had to have will help us answer this

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

3x - 7 =38

3x = 38+7

3x = 45/3

x = 15

The correct coefficient of x is 5 and the correct equation is 5x-7=38.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-7=38.

Solution to given equation is

3x=38+7

3x=45

x=15

The teacher say the answer is 6 less than the answer she found.

Which is x=9

The teacher says that Joan copied the coefficient of x incorrectly

If equation is 5x-7=38

5(9)-7=38

38=38

Therefore, the correct coefficient of x is 5 and the correct equation is 5x-7=38.

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Answer:

Explanation:

Given a quadratic function of the form:

In order to solve for x, we use the quadratic formula:

Comparing this with the given application:

From the given options, the equation that can be solved with the given formula is:

This is because it simplifies to:

The correct option is A.

The school has a total enrollment =  2900.

Total percent of students' ages is equal to 100.

Present students = 94%

Absent students = (100 – 94) = 6%

Let's say that 6% of x =1741006 x=174 x=1746100 x=29100=2900 are enrolled in school.

The school has a total enrollment of 2900.

A probability distribution that demonstrates that the likelihood of success is constant across trials is known as a: Uniform probability distribution

In uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.

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Answer:

the answer would be a % because of the divisibility rule

Given

A = (3.5, 2.2)

B = (1.5, -4.8)

Procedure

A midpoint is a point on a line segment that divides the segment into two equal segments.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (-3, 3) and Point C (2, -7)

The distance between them is

\( |BC| = \sqrt{ ({ - 3 - 2})^{2} + ({3 + 7})^{2} } \\ = \sqrt{ ({ - 5})^{2} + {10}^{2} } \\ = \sqrt{25 + 100} \: \: \: \: \: \: \: \\ = \sqrt{125} \\ = 5 \sqrt{5} \: \: \\ = 11.18033\)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

2455 * 100 = 245500%

Answer: sqrt (105)

Step-by-step explanation:

g^2 + 16^2 = 19^2

=> g^2 = 19^2 - 16^2

=> g = sqrt(19^2 - 16^2) = sqrt(361 - 256) = sqrt (105)

Hiero earns $17.50 per hour and worked 41 hours this week. Under the Fair Labor Standards Act (FLSA), non-exempt employees are entitled to receive overtime pay at a rate of 1.5 times their regular pay for hours worked beyond 40 hours in a workweek.

To calculate Hiero's regular pay for the week, we multiply his hourly rate by the number of regular hours worked, which is 40 hours in this case. Therefore, Hiero's regular pay for the week is:

Regular pay = Hourly rate x Regular hours worked

Regular pay = $17.50 x 40

Regular pay = $700

Now, to determine whether Hiero is eligible for overtime pay, we subtract the number of regular hours worked from the total number of hours worked. In this case, the total number of hours worked is 41. Therefore, Hiero worked 1 hour of overtime, for which he is entitled to receive overtime pay.

To calculate Hiero's overtime pay, we multiply his hourly rate by 1.5 and then by the number of overtime hours worked, which is 1 hour in this case. Therefore, Hiero's overtime pay for the week is:

Overtime pay = Hourly rate x 1.5 x Overtime hours worked

Overtime pay = $17.50 x 1.5 x 1

Overtime pay = $26.25

Therefore, Hiero's total pay for the week, including regular pay and overtime pay, is:

Total pay = Regular pay + Overtime pay

Total pay = $700 + $26.25

Total pay = $726.25

Hiero's regular pay for the week is $700.

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Answer:

Ali= x + 5

Aunt= 4x

The given scenario does not describe a binomial experiment. The reason is that a binomial experiment must satisfy four conditions: fixed number of trials, two possible outcomes, independent trials, and constant probability of success.

In this case, the number of trials is not fixed since two cards are selected without replacement from a standard deck. The number of outcomes for each trial is not limited to two because it depends on the number of kings selected, which can vary. Therefore, the scenario does not meet the requirements for a binomial experiment.

Additionally, the independence of trials is an important criterion for a binomial experiment. In this scenario, the selection of cards is not independent since the second card chosen depends on the outcome of the first card selection. Therefore, the correct answer is option b: not binomial; the number of trials has more than 2 outcomes.

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Answer:B

Step-by-step explanation:

Which graph represents the solution set of the system of inequalities? {y>−2x−2y≤x+4 A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair negative 0.5 comma negative 1 end ordered pair, begin ordered pair negative 1 comma 0 end ordered pair and begin ordered pair 0 comma negative 2 end ordered pair. A solid line passes through begin ordered pair negative 0.5 comma negative 1 end ordered pair, begin ordered pair 0 comma 1 end ordered pair and begin ordered pair negative 1 comma negative 3 end ordered pair. The region below the dashed line and above the solid line is shaded. A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A da

Answer:

radius =8.2m

volume=4/3×22/7r×r×r

=4/3×22/7×8.2×8.2×8.2

=2309.56m

Answer:

10

8+40÷20=8+2=10

,.,.......

Answer:

6834 / 17 = 402

Step-by-step explanation:

• sorry i d k, I just got the ans on calculator

Answer:

Felt that

Step-by-step explanation:

Answer:

ee

Step-by-step explanation:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

0.7 as a fraction:

Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.

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Complete question:

How does the arrival of George Murchison change the mood of the scene?

A) George's arrival changes the mood because he doesn't take part in the dance

B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house

D) George's arrival changes the mood because he had a gun

Answer:

$99

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.

\(\frac{33}{3} = \frac{x}{9}\)

3x = 33 x 9

3x = 297

Now, we simply divide by 3 to get $99.

We can check this by substituting the value of x in the original proportion.

3(99) = 33 x 9

297 = 297 ✅

The other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.

$33/3 for 3/3 cars

$11 for 1 car

Now, we will multiply by the number of cars she washes in this question, which is 9

$11 x 9 = 99 for 1 x 9 cars

$99 for 9 cars

Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is  almost foolproof, so long as the algebraic processess are followed.

The expected change in m if GDP increases by 4% is approximately -2%.

The given equation is a logarithmic regression model that relates the quantity of (real) money (m) to the value of (real) gross domestic product (GDP) and the nominal interest rate (R). The equation is expressed as ln(m) = β0 + β1ln(GDP) + β2R, where β1 = 2.78 and β2 = -0.09.

To determine the expected change in m when GDP increases by 4%, we need to substitute the new GDP value into the equation and calculate the resulting change in m.

Let's consider the scenario where the initial GDP increases by 4%. We can calculate the change in m by plugging the new GDP value into the equation:

ln(m') = β0 + β1ln(GDP') + β2R,

where m' represents the new quantity of money and GDP' is the new GDP value.

Since we are interested in the change in m, we subtract the initial equation from the new equation:

ln(m') - ln(m) = β0 + β1ln(GDP') + β2R - β0 - β1ln(GDP) - β2R,

Simplifying the equation:

ln(m'/m) = β1(ln(GDP') - ln(GDP)),

Using the property of logarithms, ln(a) - ln(b) = ln(a/b):

ln(m'/m) = β1ln(GDP'/GDP).

Now, we know that GDP increased by 4%, so GDP'/GDP = 1 + 0.04 = 1.04. Substituting this value into the equation:

ln(m'/m) = β1ln(1.04),

Since ln(1.04) is a constant, we can multiply both sides by β1:

ln(m'/m) * β1 = \(β1^2\) * ln(1.04),

ln(m'/m) * β1 = 2.78 * ln(1.04),

Finally, we can solve for ln(m'/m) by dividing both sides by β1:

ln(m'/m) = 2.78 * ln(1.04) / β1.

Using the given values, β1 = 2.78 and β2 = -0.09, we can calculate the approximate change in m by exponentiating both sides:

m'/m = \(e^(^2^.^7^8^ *^ l^n^(^1^.^0^4^)^ /^ β^1^)\).

Substituting the values, we find:

m'/m ≈ \(e^(^2^.^7^8^ * ^l^n^(^1^.^0^4^)^ / ^2^.^7^8^)\) ≈ \(e^l^n^(^1^.^0^4^)\) ≈ 1.04.

This means that the expected change in m, when GDP increases by 4%, is approximately 1.04. To express this as a percentage change, we subtract 1 and multiply by 100:

Percentage change = (1.04 - 1) * 100 ≈ 4%.

Therefore, the expected change in m, when GDP increases by 4%, is approximately -2% (rounded to the nearest integer).

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Answer:

When a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

Step-by-step explanation:

A fraction is a number that is obtained by dividing an integer into equal parts and is expressed as:

\(\frac{numerator}{denominator}\)

An improper fraction is a fraction in which the numerator, that is, the top number, is greater than or equal to the denominator, that is, the bottom number.  In contrast, in proper fractions, the numerator is less than the denominator.

Improper fractions can be represented as mixed fractions. A mixed fraction represents a whole number and a proper fraction, in other words, it corresponds to the sum of a whole part plus a fractional part.   In summary, mixed fractions are made up of an integer part and a fractional part.

So, when a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

Answer:

It is not a function thats all I know sry

Step-by-step explanation:

The derivative formula for the function g(x) = 15 - 8ln(x) is g'(x) = -8/x.

To find the derivative of g(x), we can use the power rule and the chain rule. The power rule states that the derivative of x^n is n*x^(n-1), and the chain rule allows us to differentiate composite functions.

In this case, g(x) is a combination of a constant function (15) and the natural logarithm function (ln(x)). The derivative of the constant term (15) is 0 since it does not depend on x.

The derivative of the natural logarithm function, ln(x), is 1/x. Therefore, using the chain rule, the derivative of -8ln(x) is -8 * (1/x), which simplifies to -8/x.

Hence, the derivative of g(x) = 15 - 8ln(x) is g'(x) = -8/x.

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The correct statements regarding the compound interest balance function in this problem are given as follows:

The balance, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which the parameters are listed as follows:

For this problem, the function is given as follows:

\(A = 4500\left(1 + \frac{0.035}{12}\right)^{12t}\)

Hence the balance after three months is given as follows:

\(A = 4500\left(1 + \frac{0.035}{12}\right)^{12 \times \frac{3}{12}}\)

A = $4,539.49.

(as the time is measured in years, 3 months = 3/12 of an year).

After six months, the balance is given as follows:

\(A = 4500\left(1 + \frac{0.035}{12}\right)^{12 \times \frac{6}{12}}\)

A = $4,579.33.

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Answer:

y=2

Step-by-step explanation:

5y-6=(2y*9)-32

5y-6=18y-32

32-6=18y-5y

26=13y

26/13=13y/13

2=y

y=2 [Answer]

Please rate and mark me the brainiest!!

Hey there!

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

\(\fbox{5y−6=2y(9)−32}\)

Step 1: Simplify both sides of the equation.

\(\fbox{5y−6=2y(9)−32}\)

\(\fbox{5y+−6=18y+−32}\)

\(\fbox{5y−6=18y−32}\)

Step 2: Subtract 18y from both sides.

\(\fbox{5y−6−18y=18y−32−18y}\)

\(\fbox{−13y−6=−32}\)

Step 3: Add 6 to both sides.

\(\fbox{−13y−6+6=−32+6}\)

\(\fbox{−13y=−26}\)

Step 4: Divide both sides by -13.

\(\fbox{−13y/−13 = −26/−13}\)

\(\fbox{y=2}\)

Answer:

\(\fbox{y=\fbox{2}}\)

The function of p(x) is p(x) = 13x - 20

The revenue for mowing x lawn is r(x) = 18x

Her cost for gas and mower rental is c(x) = 5x + 20

Profit for mowing is p(x) = (r - c)(x)

p(x) = r(x) - c(x)

p(x) = 18x  - (5x + 20)

p(x) = 18x - 5x - 20

p(x) = 13x - 20

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Answer:

(-1,2) is the answer

Ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)} from the given set of ordered pairs represents the function.

As given in the question,

Given set of ordered pairs following is the one which represents the function :

In the given set of ordered pair for input value 3 there are two outputs 3 and -4 , therefore it is not a function.

In the given set of ordered pair for input value -5 there are two outputs 7 and 8 , therefore it is not a function.

In the given set of ordered pair each input has unique single output. Therefore it is a function.

In the given set of ordered pair for input value -1 there are two outputs 0 and -4 , therefore it is not a function.

Therefore, ordered pair{(−6,−1),(−8,4),(−5,4),(3,−9)}  from the given set of ordered pairs represents the function.

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