What is the value of x in the equation below? 4(x + 3) = 9x + 16 + 3x

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.

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?

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]

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

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:

311

Step-by-step explanation:

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

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]

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:

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.

Answer:

X= 2  Y= -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

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:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

17. 1lb is the better deal

18. about $17

19. 1.5lbs I think

20. 7000lbs

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:

2 11/12

Step-by-step explanation:

first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.

9/12 + 8/12 = 17/12

1/2 = 6/12

17/12 + 6/12 = 23/12

23/12 = 1 11/12

But we still have 1 from the 1 1/2 so add that

1 + 1 11/12 = 2 11/12

2 11/12

Hope this helps! Please mark as brainliest! Thanks!

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

Find out more details about "Rectangle" here: https://brainly.com/question/25292087

#SPJ2

Answer:

A. Hope this helps.

Answer: I would say Independent

Step-by-step explanation:

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:

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]

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:

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:

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]

The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.

The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:

[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]

Simplify the expression inside the square root:

[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]

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:

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