Write an equation that you will use to solve for x. Solve for x.

b. g(x)...

domain: a. (-infinity, infinity)

range: b. (-infinity, 4}

Option (B) is the correct option.

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation".

For the given situation,

[tex]f(x) ={x+6 x < -4x^2, -2 6- x, x > 4[/tex]

[tex]g(x)={x+6, x < -2x^2, -2 6-x, x > 2[/tex]

[tex]h(x)={x+4, x < -2x^2, -2 4-x, x > 2[/tex]

Plot the graph for the given functions [tex]f(x), g(x), h(x)[/tex].

After plotting all the functions, the function [tex]g(x)[/tex] describes the graph shown.

Hence, option (B) is the correct option.

Learn more about  graphing functions here

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Answer:

x=2.25hrs

Step-by-step explanation:

1/9 =1/4hr

9/9=x

(9/9)/(1/9)=1/4.xhr

1/9=1/4.xhr

cross multiplying

4x=9

x=9/4

x=2.25hrs

Answer:

d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.

Step-by-step explanation:

Given that :

μ1=population mean driving distance for the current golf ball

μ2=population mean driving distance for the new golf ball

H0 : μ1 - μ2 ≤ 0

H1 : μ1 - μ2 > 0

The Null hypothesis assumes that the average driving distance of the current golf ball is less than or equal to the average driving distance of the current golf ball

For the Alternative ; If there is significant evidence that the average driving distance of the current golf ball is greater or longer than the average driving distance of the new golf ball ;then we reject our initial claim (the Null hypothesis).

Answer:

Yes, you can make a triangle with it

Step-by-step explanation:

Given

[tex]Lengths: 9in, 4in, 6in[/tex]

Required

Do the lengths form a valid triangle

To do this, we make use of triangle inequality theorem which states that;

For sides a, b and c;

[tex]a + b > c[/tex]

[tex]b + c >a[/tex]

[tex]a + c > b[/tex]

So, we have:

[tex]9 + 4 > 6[/tex] -- true

[tex]4 + 6 > 9[/tex] -- true

[tex]6 + 9 > 4[/tex] -- true

Since all the inequalities are true, then the sides form a valid triangle

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Answer:

2*t

Step-by-step explanation:

That should be it...

Just multiply 2 by t

Answer:

2t

"t" is the variable, and is similar to something that would look like this: 2(2)

i think you're overthinking this but I'll help out if I'm wrong

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

Answer:

0.105195x - 0.14156

Step-by-step explanation:

The relationship between heavy metal CD sales and size of teenage population is to be obtained. The attached table shows the result obtained from a regression analysis.

The dependent variable, which is the predicted value or variable, y = heavy metal yield

The Independent variable, predictor variable, x = heavy metal yield

Feommthe table ;

Coefficient of x = slope 0.105195

Intercept = - 0.14156

The general form of a simple linear regression model is :

y = mx + c

c = intercept ; m = slope

Therefore, we have the model :

y = 0.105195x - 0.14156

Answer:

10th term is 10

Step-by-step explanation:

The nth term for finding the geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

a11 = ar^11-1

a11 = ar^10

Since a11 = -5 and r = -1/2

-5 = a(-1/2)^10

-5 = a(1/1024)

a= 1024 * -5

a = -5120

Nest is to get the 10th terms

a10 = ar^9

a10 = -5120 * (-1/2)^9

a10 = -5120 * -1/512

a10 = 10

Hence the 10th term of the sequence is 10

Answer:

189/8 cm^3

Step-by-step explanation:

Given data

Base= 7/2 cm

Hieght= 3/2cm

Length= 9/2cm

We know that the expression for volume is

Volume = L*B*H

substitute our data

Volume= 7/2*3/2*9/2

Volume= 189/8 cm^3

Hence the volume is 189/8 cm^3

Answer:

Distributive Property

Answer:

10

Step-by-step explanation:

5 + 5

Answer:

A. 45%=45/100=9/20

Step-by-step explanation:

45% is 45 out of 100 or 45/100

9 divided by 20 equals 0.45

They are both equal to 45%

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

Answer:

y=50x

Step-by-step explanation:

Answer:

j = 11

Step-by-step explanation:

$25 - $14 = 11

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

19.20 you have to do a squared times b squared and the square root them and there's your answer

Answer:

2/5

Step-by-step explanation:

multiply length and width then divide the volume by the product of length times width

3/4 x 1/2 then divide 15/16

Answer:

90°

-Sum of angles in a triangle= 180°

-angle C is 90°

-therefore angle A + angle B is,

180° - 90° = 90°

Answer: HL

Step-by-step explanation:

The shared side is congruent, meaning the triangles are congruent by HL.

Answer:

345

Step-by-step explanation:

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

[tex]V = Pe^{rt}[/tex]

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Answer:

Step-by-step explanation:

Hello !

-4x+6(x+2)=20

-4x+6x +12 =20

-4x+6x= 20-12

2x = 8

x= 8/2 = 4  => B

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

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Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

Answer:

B

Step-by-step explanation:

Answer:

( 3 , 9 )

Step-by-step explanation:

First, add  

3

to each segment of the system of inequalities to isolate the  

x  term while keeping the system balanced:

3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18  6 < 2 x < 18

, divide each segment by  2

to solve for  x

while keeping the system balanced:

6 2 < 2 x 2 < 18  2  3 < 2 x 2 < 9  3 < x <  9  Or  x > 3 ;  x< 9

Brainliest?