Solve the two-step equation.
part : a
-9x + 0.4 = 4

Which operation must be performed to move all the constants to the right side of the equation?
part: b
Then, which operation must be performed to isolate the variable?
part: c
The solution to the equation is x =

ANSWER

k=-9

EXPLANATION

The given function is

[tex]h(x) = {x}^{2} + 3[/tex]

and

[tex]g(x) = {x}^{2} - 6[/tex]

We want to rewrite g(x) in terms of f(x).

[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]

This implies that,

[tex]g(x) = h(x) + - 9[/tex]

When we compare, we realize that

[tex]k = - 9[/tex]

First we find the average out of the total. 11÷54=0.20 this is the percentage wanting to attend. now we times this number by the total number of football players. 810 X 0.20 equals 165. your answer is C.

Answer:

k= -89

Step-by-step explanation:

k = 10t - 19 and t = -7

k=10 (-7) - 19

k= -70 - 19

k= -89

Answer:

-89

Step-by-step explanation:

17. 1lb is the better deal

18. about $17

19. 1.5lbs I think

20. 7000lbs

Answer:

The equation of the line of best fit is y = (-9/7)x + 13.

Step-by-step explanation:

The y-intercept of this straight line is (0, 13); we could also say that b = 13.

Two points on the graph are (0, 13) and (7, 4).  As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.  

From this observation, we can easily calculate the slope of this line:

m = rise / run = -9/7.

Then the equation of the line of best fit is y = (-9/7)x + 13.

The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).

1. Calculate the Slope [tex](\(m\))[/tex]:

The slope of a line [tex](\(m\))[/tex] is given by the formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:

[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]

[tex]\[ m = \frac{-15}{10} \][/tex]

[tex]\[ m = -\frac{15}{10} \][/tex]

This can be simplified further by dividing the numerator and denominator by 5:

[tex]\[ m = -\frac{3}{2} \][/tex]

So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]

2. Find the Y-Intercept [tex](\(b\))[/tex]:

The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.

3. Write the Equation of the Line:

The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

This equation represents the line that best fits the given data points.

Question

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?

Answer:

X= 2  Y= -1

Step-by-step explanation:

11.

6x-3y=18

-3y=-6x+18

y = (-6x +18)/-3

y = 2x - 6

12.

-3x-7y=14

-7y=3x+14

y=(-3/7)x - 2

Answer:

[tex]\large\boxed{Q10.\ y=2x-6}\\\boxed{Q12.\ y=-\dfrac{3}{7}x-2}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Q 10.

[tex]6x-3y=18[/tex]       subtract 6x from both sides

[tex]6x-6x-3y=-6x+18[/tex]

[tex]-3y=-6x+18[/tex]          divide both sides by (-3)

[tex]\dfrac{-3y}{-3}=\dfrac{-6}{-3}x+\dfrac{18}{-3}\\\\y=2x-6[/tex]

Q 12.

[tex]-3x-7y=14[/tex]            add 3x to both sides

[tex]-3x+3x-7y=3x+14[/tex]

[tex]-7y=3x+14[/tex]            divide both sides by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{3}{-7}x+\dfrac{14}{-7}\\\\y=-\dfrac{3}{7}x-2[/tex]

118,437 stickers. Trust me. I am REALLY good at math.

D.

If you look at the circle the point O is most is obviously in the center .

Answer:

D) Point O is the center.

Step-by-step explanation:

Given : Circle.

To find : Which point represents the center of the circle below.

Solution : We have given Circle.

The center of a circle is the point which is equidistant from all points on the circle.

Point O is equidistant from point R and S and A.

So, Center of the circle is O.

Therefore, D) Point O is the center.

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

Answer: 12/15 = 0.8

Step-by-step explanation: There are 12 donuts and 15 teachers, just divide the amount of donuts by the amount of teachers. Hope that helps.

Answer:

Since they are 11 spaces for bicylces and the playground has as many spaces for bicycles then we use this equation 3 x 11 = 33  to find the total number of bicycles spaces on the rack by the playground.

x equals 7,-1 :)))))))))))

Answer:

D

Step-by-step explanation:

given x² - 6x - 7 = 0 ← in standard form

To factor the quadratic

Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

The solution to the equation is D

Answer:

A. Hope this helps.

Answer:

311

Step-by-step explanation:

Answer:

y + 4 = 4(x-4)

Step-by-step explanation:

Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).

[tex]y - y_1 = m(x-x_1)\\y --4=4(x-4)\\y + 4 = 4(x-4)[/tex]

Answer:

option (a)

(a³-b³)^1/4

Step-by-step explanation:

Given in the question an expression

4√a³-b³

To find,

this expression without radicals

There is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. a√x = (x)1/a

Example

√a = a^1/2

∛a = a^1/3

Answer:

1

Step-by-step explanation:

Binomial theorem is describing the expansion of powers of the term (a + b)^n

Obviously if n = 0, a + b = 1

So the first term is 1.

you would show the long division

Answer:

u can use long division

Step-by-step explanation:

10788 divided by 31 is 348 because

31 cant go into 1 so do it again

31 cant go into 10 so again

31 can go into 107 3 times leaving 14

add the 14 to 8 and so on

Answer:36.80

Step-by-step explanation:

15% of 32 is 4.8 so add that

To find the total bill for Brady and his friends at Mazzio's Pizza, including a 15% tip on a $32 meal, you calculate the tip as $4.80. Adding the tip to the original cost gives a total bill of $36.80.

Brady and his friends' meal at Mazzio's Pizza cost $32, and they want to leave a 15% tip. To calculate the tip amount, convert the percentage to a decimal form by dividing by 100 (15% becomes 0.15), and then multiply by the cost of the meal.

This results in $32 × 0.15 = $4.80. With the added tip, the total bill becomes $32 (meal cost) + $4.80 (tip) = $36.80. So, the total bill including the tip is $36.80.

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Answer:

$71 dollars

Step-by-step explanation:

What you have to do is do 14.50 times 2 to get 29.

Then 7.50 times 4 to get 30.

You will then add 29+30+12=$71 dollars.

Answer:

(14.5+14.5+12+7.5+7.5+7.5+7.5 )= 71

71/7 = 10$

Answer:

[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]

Step-by-step explanation:

[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]

Answer:

8 days

Step-by-step explanation:

question

how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day

1 st how long before all her apples Finnish

8 days how

count by twos until u reach 16

so x= 8

Final answer:

Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.

Explanation:

Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.

The function describing the remaining apples after x weeks can be constructed as follows:

Start with the total number of apples Abigail has, which is 16.

Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.

Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.

This equation represents the remaining apples as a function of the number of weeks.

You want to find out what a is.

7a / 10 = 77 / 60

Put your equation into the form Ax = B, where x = a

You can multiply both sides by 10 to get rid of the denominator.

7a / 10 * 10 = 77 / 60 * 10

7a = 77 / 6

Put your equation into the form x = B, where x = a

You can get a on it's own by dividing both sides by 7.

7a ÷ 7 = 77 / 6 ÷ 7

a = 77 / 6 ÷ 7

When dividing fractions:

Convert 7 to a fraction: [tex]\frac{7}{1}[/tex]

Flip the second fraction and multiply.

[tex]\frac{77}{6}[/tex]*[tex]\frac{1}{7}[/tex]=[tex]\frac{77}{42}[/tex]

a = 77 / 42

Simplify the fraction by dividing be a common factor - 7.

77 ÷ 7 = 11

42 ÷ 7 = 6

The value of a is 11/6

see the image

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer: I would say Independent

Step-by-step explanation:

The perimeter is the total outside dimensions.

There are 2 sides that are 8 inches and 2 sides that are 5 inches.

Perimeter = 8+8+5+5 = 26 inches.

The required perimeter of the rectangle is 26 inches

A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal and parallel.

A perimeter of a figure is the sum of all the sides that bounds the figure.

In the given problem,

∴ Perimeter of the rectangle = 2(8 + 5) inches

                                               =  26 inches

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Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

Answer:

0.3.

between 20.3 and 20.9

Step-by-step explanation:

Answer:

At = 27.225 ft2

Step-by-step explanation:

Hello

The triangle area is:

At = (b*h)/2

At = (9.9*5.5)/2

At = 27.225 ft2

Best regards