3x+2x+7=8x+8

solve for x

hello,

[tex]Area =(2x + 4) \times ( 4x - 2) \\ Area =8 {x}^{2} - 4x + 16x - 8 \\ Area = {8x}^{2} + 12x - 8[/tex]

[tex]\boxed{crsjr}[/tex]

Answer:

[tex]\Longrightarrow: \boxed{\sf{8x^2+12x-8}}[/tex]

Step-by-step explanation:

Using the distributive property, you multiply by the area to find the area of the rectangle polynomial.

[tex]: \Longrightarrow \sf{(Area)= (2x+4)*(4x-2)}[/tex]

Solve.

Multiply by expand.

Use the distributive property.

Use the FOIL method.

FOIL method:

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

[tex]\Longrightarrow: \sf{2x\cdot \:4x+2x\left(-2\right)+4\cdot \:4x+4\left(-2\right)}[/tex]

[tex]\Longrightarrow: \boxed{\sf{=8x^2+12x-8}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

B. 16 1/2

Step-by-step explanation:

1/2x+3/4=9

multiply both sides by 4

4(1/2x+3/4)=9x4

2x+3=36

2x=36-3

2x=33

x=33/2

x=16 1/2

Answer:

2.1

Step-by-step explanation:

you start with 12x+34=9 so do inverse operations

12x+34=9

     -34 -34

12x=-25

12x/12=-25/12

x=-2.083333ect.

or 2.1

Answer:102

Step-by-step explanation:

180-36=144

x+42=144

x=102

The measure of x from the circle is x = 102

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the external angle ∠GDF = 36°

Now , Central Angle = 2 x Angle in other segment

And , the measure of ∠GAF = ( x + 42 )°

On simplifying , we get

( x + 42 )° = 180° - 36°

x + 42 = 144

Subtracting 42 on both sides , we get

x = 102

Hence , the measure of x of circle is 102

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Answer:

C) 20

Step-by-step explanation:

The median is the middle most number of the dataset.

17 18 18 19 20 20 20 20 20 23 23 23 24 25 25

20 is the middle most number. The median is 20.

Answer:

20

Step-by-step explanation:

Median is the middle value

Median position: (15+1)/2 = 16/2

= 8th value

Read in ascending or descending order, 8th value is 20

Answer:

6 3/4 or 6.75 mph

Step-by-step explanation:

Take the rate of miles per 3 hours, 20 1/4, and divide it by 3.

That equals 6.75 or 6 3/4 mph

Hope this helps!

Answer:

Step-by-step explanation:

Lets take the rate of miles per 3 hours So, we have 20 1/4 so now if we divide it by 3 That will equal 6.75 in decimal if you were asked to write it in fraction write it like this 6 3/4.

Decimal= 6.75                                                                                             Fraction= 6 3/4

Hope this helps you!!

An expression that has the same value as (-14) - 8 is (-14) + (-8), both of which equal -22.

The question is about finding an expression that is equivalent to (-14) - 8. When we subtract a positive number from a negative number, we move further to the left on the number line, making the number more negative. Therefore, (-14) - 8 is the same as adding the opposite of 8, which is -8, to -14, giving us -22. Another way to see it is moving 8 units to the left from -14 on a number line.

Thus, an equivalent expression might be the subtraction of the negative of 8, which is (-14) + (-8). We add the two negative numbers together following the rule that adding two negative numbers results in a negative sum. In this case, (-14) + (-8) is also -22.

The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The number is,

⇒ 12164 - 49

Now, We can factor as;

⇒ 12164 - 49

⇒ 110.3² - 7²

⇒ (110.3 - 7) (110.3 + 7)

Thus, The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

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Answer:

75 cm³

Step-by-step explanation:

Edge 2020

The volume of the given prism is equivalent to V = a².

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is to find the volume of the prism that has a square base and height of 3 centimeters.

The volume of a square pyramid is -

V = a²h/3

Now, the base edge length is not given. Assume it to be {a} units. So, we can write -

V = 3a²/3

V = a²

Therefore, the volume of the given prism is equivalent to V = a².

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Answer:

C

Step-by-step explanation:

its a wild guess because you didn't add a picture or anything to show the  pyramid

Answer:

i think it's b

Step-by-step explanation:

Answer:

make it polynomial eqution and than solve it for x

Step-by-step explanation:

hope this will help you

Answer:

10x² - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

10x² + 4x - 15x - 6

10x² - 11x - 6

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The final answer is 7.2 x 10^11.

To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.

In this case, (9.104) multiplied by (8.106) gives you (9 * 8) multiplied by (104+6).
So the result is 72 multiplied by 1010, which can be written in scientific notation as 7.2 x 1011.

Answer:

mean = 6.4

median = 6.5

range = 9

Step-by-step explanation:

hope this helps!!

Answer:

Step-by-step explanation:

Mean = Sum of scores/number of games

[tex]=\frac{4+10+7+9+2+11+4+9+2+6}{10}\\\\=\frac{64}{10}\\\\[/tex]

Mean = 6.4

4,10,7,9,2,11,4,9,2,6

Ascending order: 2,2,4,4,6,7,9,9,10,11

Median is the middle term. As number of terms is even number (10),

We have to find the mean of middle terms. ie median of 5th and 6th term

[tex]Median=\frac{6+7}{2}\\\\=\frac{13}{2}[/tex]

Median = 6.5

Range = Maximum score - minimum score

  = 11 - 2

Range = 9

Answer:

ANSWER IS A ...........

Answer:

A.6.96 B. .3629 C.8.7

Step-by-step explanation:

i used calculator plz brainliest

Answer:

A. 125.28

B. 1 apple = $3.26

C. 156.48

Step-by-step explanation:

A. $2.61 * 48 [(12 apples = 1 dozen) times 4 equals 4]= 125.68

B. 2.61/1 * 25/100= 65.25/100      (25% = 25/100)

65.25/100= 0.6525

0.6525= 0.65

$2.61 + $0.65 = $3.26/ apple

C. $3.26 * 48( see above on problem A)= $156.48

Initial ratio W/Y=1

new ratio (w+30)/y=6/5, or substituting w for y you get 6w=5w+150 or w=150.

then y=150, so the shop ordered 300 balls initially, 150 each

Hope this helped

:)

Answer:

x=2 or y=3

Step-by-step explanation:

x=2 is a vertical line at the x-value of 2

y=3 is a horizontal line at the y-value of 3

Answers and Step-by-step explanations:

(a) We want to find the slope-intercept equation (y = mx + b), where m is the slope and b is the y-intercept. We already have two points: (2, 6200) and (7, 21200). The slope is change in y over change in x so:

m = (21200 - 6200) / (7 - 2) = 3000

Now, we have y = 3000x + b. Plug in 6200 for y and 2 for x to solve for b:

y = 3000x + b

6200 = 3000 * 2 + b

b = 200

Nat's equation is y = 3000t + 200.

(b) We want a quadratic formula in vertex form because the problem says that Kat's account maxes out at 44100 on her 25th birthday, indicating that's the vertex. Our vertex point is (20, 44100); note that it's 20 and not 25 because she starts the account at age 5, not age 0. The generic vertex form of a quadratic is:

y = a(x - h)² + k, where (h, k) is the vertex

Plug in our vertex:

y = a(x - 20)² + 44100

We also have the point (9, 32000), so put that in to find a:

32000 = a(9 - 20)² + 44100

-12100 = a * 121

a = -100

So Kat's equation is y = -100(t - 20)² + 44100.

(c) In order to find the age when they have the same amount, we set the two equations equal:

3000t + 200 = -100(t - 20)² + 44100

-100(t² - 40t + 400) + 44100 = 3000t + 200

-100t² + 4000t - 40000 + 44100 - 3000t - 200 = 0

-100t² + 1000t + 3900 = 0

t² - 10t - 39 = 0

(t - 13)(t + 3) = 0

t = 13 or t = -3   --   obviously, years can't be negative, so t = 13.

Note, however, that t is the number of years after Kat and Nat are 5, so we need to add 13 to 5:

13 + 5 = 18

The age is 18.

A: [tex]N(t) = 3000t +200[/tex]

B: [tex]y = -100(x-20)^2+44100[/tex]

C: When they turn 18.

A. Write a linear function N(t) for the amount of money, N, that Nat has in her account ‘t’ years after her 5th birthday:

You can determine a linear equation using the two coordinates provided:

(2, 6200) and (5, 21200).

To do this, first find the slope of the graph. You can do this by using the expression

[tex]\frac{y2-y1}{x2-x1}[/tex], where the coordinate (2, 6200) is 1 and (7, 21200) is 2:

[tex]\frac{21200-6200}{12-7}\\\\\frac{15000}{5}[/tex]

The slope is equal to 3000. Now, you need to find the y-intercept. Plug in 2 for x and see what the y intercept would need to be to equal 6200:

6200 = 3000 * 2 + b

6200 = 6000 + b

b = 200

Thus, your equation for Nat's bank account is [tex]N(t) = 3000t + 200[/tex]

B: Kat’s account doesn’t follow a linear model, but rather a quadratic model. On her 5th birthday, her parents open the account and then add money annually just like with Nat. Kat’s parents plan is to add money so that her account maxes out at $44100 on her 25th birthday. At the age of 14, she has $32000. Write a quadratic function K(t) for the amount of money, K, in Kat’s account ‘t’ years after her 5th birthday:

The question supplies you with the vertex to the parabola, (20, 44100). This is the point at which the maximum value of the function is reached.

It also supplies you with a point on the parabola, (9, 32000).

You can use the vertex form of the quadratic equation to find the formula for Kat's bank account:

[tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

Substituting the vertex in for that equation, we get:

[tex]y=a(x-20)^2+44100[/tex]

Now, you can substitute the point (14, 32000) in for x and y to solve for a:

[tex]32000=a(9-20)^2+44100\\\\-12100 = 121a\\a = -100[/tex]

Thus, the equation is [tex]y = -100(x-20)^2+44100[/tex].

C. What age will both Nat and Kat have the same amount in their account? 18 years old.

To find what age each account will be equal, set the equations equal to each other:

[tex]-100(x-20)^2+44100 = 3000x +200[/tex]

Then, you can solve for x:

[tex]-100(x-13)(x+3)=0[/tex]

Solving for x, we notice that the accounts equal each other when Nat and Kat are -3 or 13. However, Nat's function is only specified to begin after she turns 5, so add 5 to 13 to get 18.

They will both have the same money in their accounts when they turn 18.

Answer: d = 13 inches.

Step-by-step explanation: The total surface area  = 674 in²

Given the value of rectangular prism are 9 and 10 in respectively.

Area of rectangular prism = 2(lw+ wh+ lh)

2(d10 + 10×9+d9) = 2(19d+90) = 38d+180 = 674

38d = 674-180 = 494

d = 494/38 = 13in

∴ d = 13in

Answer: The city will need 33 trees.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the length of the path (5 1/2 miles) distance between trees (1/6).

Mathematically speaking:

5 1/2 ÷ 1/6 = (5x2+1) /2 ÷1/6 = 11/2 ÷1/6 = (11x6) /(2x1) = 66/2 =33 trees

The city will need 33 trees.

Feel free to ask for more if needed or if you did not understand something.  

Final answer:

To determine the number of trees needed for a roadway with trees spaced every 1/6 mile along a 5 1/2-mile path, divide the total distance by the spacing distance to find 33 trees required.

Explanation:

Roadway:

To find the number of trees needed, we first calculate the distance between trees: 1/6 mile. The total length of the road is 5 1/2 miles, so we divide the total length by the distance between trees to find the number of trees needed:
5 1/2 miles ÷ 1/6 mile = 5.5 ÷ 1/6 = 5.5 * 6 = 33 trees

Answer:

(-5,5) and (-1,5)

Step-by-step explanation:

second option on edge

Answer:

Provided below. Hope this helps:))

Step-by-step explanation:

[tex] {8}^{ - 1} = \frac{1}{8} [/tex]

8-¹ ❌

[tex] {9}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]

9-² ✔️

[tex] \frac{ {9}^{8} }{ {9}^{4} } = {9}^{8 - 4} = {9}^{8} [/tex]

9^8/9^4 ❌

[tex] \frac{9 {}^{8} }{ {9}^{10} } = {9}^{8 - 10} = {9}^{ - 2} = \frac{1}{9 {}^{2} } = \frac{1}{81} [/tex]

9^8/9^10 ✔️

[tex] {9}^{ - 6} \times {9}^{3} = {9}^{ - 6 + 3} = {9}^{ - 3} = \frac{1}{9 {}^{3} } = \frac{1}{729} [/tex]

9^-6 . 9³ ❌

[tex] {9}^{5} . \: { 9}^{ - 7} = {9}^{5 - 7} = 9 {}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]

9^5 . 9^-7 ✔️

In the problem, 'X' denotes the cost to rent each pair of skates. Setting up and solving the equation, 9 + 7X = 30, we find 'X', the cost per pair, is $3.

In this problem, 'X' represents the cost to rent each pair of skates. The problem refers to a situation where a skating rink charges $9 for a group rate and an additional fee for every pair of skates rented. According to the provided information, a family who rents 7 pairs of skates pays a total of $30. We can set up an equation to solve for 'X.'

The equation is 9 + 7X = 30, where X is the cost per pair of skates.

To solve this equation, you have to subtract 9 from both sides, getting 7X = 21. Afterward, you divide both sides by 7, and you get X = 3. Therefore, 'X' corresponds to $3, the cost per pair of skates.

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Answer:

1/4

1

4

Step-by-step explanation:

The function is g(x) = 4^((1/2)*x)

For A, the value is -2.  Plug this into the equation.

g(-2) = 4^((1/2)*-2)

g(-2) = 4^(-1)

g(-2) = 1/4

For B, the value is 0.  Plug it into the equaiton.

g(0) = 4^((1/2)*0)

g(0) = 4^(0)

g(0) = 1

For C, the value is 2.  Plug it into the equation.

g(2) = 4^((1/2)*2)

g(2) = 4^1

g(2) = 4

A function is a relationship between inputs where each input is related to exactly one output.

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = [tex]4^x[/tex]

g(x) = [tex]4^{\frac{1}{2}x[/tex]

For x = -2

A = [tex]4^{\frac{1}{2}\times-2[/tex]

A = 1/4

For x = 0

B = [tex]4^0[/tex]

B = 1

For x = 2

C = [tex]4^1[/tex]

C = 4

Thus,

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

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Answer:

-13x + 7

Step-by-step explanation:

trust me

Answer:

Y= -3/5 - 1

Step-by-step explanation:

if you start on the y intercept an go down once (-1)

then go down three times (-3)

positive 5 so go right 5 times it lands on the point :)

im not a teacher and i took this last year so sorry if my explanation isn't the best

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

Option D is the correct answer.

We have,

The slope-intercept form of a linear equation,

y = mx + b

where m represents the slope of the line and b represents the y-intercept.

The slope (m) of the line using the two given points (0, -1) and (5, -4):

m = (y₂ - y₁) / (x₂ - x₁)

m = (-4 - (-1)) / (5 - 0)

m = (-4 + 1) / 5

m = -3 / 5

Substitute it into the slope-intercept form, along with one of the given points (0, -1), to find the value of b:

-1 = (-3/5)(0) + b

-1 = b

The y-intercept (b) is -1.

The equation of the line using the slope-intercept form:

y = (-3/5)x - 1

Thus,

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

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Answer:

c

Step-by-step explanation:

Answer:

30.

Step-by-step explanation:

To find the area of a rectangle, you need to multiply length x width.

A = L x W

6 x 5 = 30.

Feel free to let me know if you need more help. :)

Answer:

you can do it

Step-by-step explanation:

Answer:

I think Answer is  B

Step-by-step explanation: