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Answer:

f(- 2) = 4

Step-by-step explanation:

substitute x = - 2 into f(x) , then

f(- 2) = - (- 2) + 2 = 2 + 2 = 4

Answer:

Given function:  [tex]f(x)=-x+2[/tex]

To evaluate the function when [tex]x=-2[/tex], substitute the given value for [tex]x[/tex] into the function and solve:

[tex]\implies f(-2)=-(-2)+2[/tex]

[tex]\implies f(-2)=2+2[/tex]

[tex]\implies f(-2)=4[/tex]

Answer:

Step-by-step explanation:

The volume of the original cylinder = pi * r^2 * h

Givens

r = 6 in

h = 3 in

pi = 3.14

Solution

V = pi * r^2 * h

V = 3.14 * 6^2* 3

V = 3.14 * 36 * 3

V = 339. 12

Part 2

If you double the height, you will double the volume

V = 3.14 * 36 * 6

V = 678.24

Answer:

1156

Step-by-step explanation:

34*34

Answer:

y=-5/3x-1

Step-by-step explanation:

Of course! Two parallel lines will have the same slope. So, we have to eliminate all equation that dont have the slope -5/3. We are left with the third option.

Answer:

[tex]y = - \frac{5}{3}x - 1 [/tex]

Step-by-step explanation:

[tex]since \: both \: lines \: have \: te \: same \: slope : \\ then \: the \: equation \: of \: a \: line : slope \: intercept \\ \: is \: given \: by : \\ y - y_{1} = m(x - x_{1}) \\ but \: the \: slope, \: m \: = - \frac{5}{3} \\ y - 4 = - \frac{5}{3}(x - ( - 3)) \\ y - 4 = - \frac{5}{3}x - 5 \\ y = - \frac{5}{3}x - 1 [/tex]

Answer:

13.5

Step-by-step explanation:

12/4=3

9/3=3

4.5x3=13.5

Answer:

13.5=k

Step-by-step explanation:

When 2 triangles are similar the ratio of their corresponding sides are equal.

[tex]\frac{XY}{YZ}=\frac{AB}{BC}\\\\[/tex]

Plug in the values given:

[tex]\frac{4.5}{3} =\frac{k}{9}[/tex]

Cross Multiply

40.5=3k

Divide to isolate k

13.5=k

Radius = 14 : 2 = 7 in.

Area = 7 x 7 x 3.14 = 153.86 (in2)

Answer:

153.86 in²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius.

14 = 2r

Divide both sides by 2.

7 in = r

And now let us find the area of the circle.

        = 3.14 × 7 × 7

        =  21.98 × 7

        =  153.86 in²

Answer:

People in the U.S. Will spend 18.2 billion dollars on statins in 2005.

Step-by-step explanation:

Given:

S − 1.9x = 4.9

Where,

S = sales of statin in billions of dollars

x = years after 1998

how much will/did people in the U.S. Spend on statins in the year 2005?

2005 is a year after 1998

Number of years = 2005 - 1998

= 7

x = 7 years

S − 1.9x = 4.9

S - 1.9(7) = 4.9

S - 13.3 = 4.9

Add 13.3 to both sides

S = 4.9 + 13.3

= 18.2

People in the U.S. Will spend 18.2 billion dollars on statins in 2005.

Answer:

A dollar bill is to light and the car is two heavy so the car

Step-by-step explanation:

Hope this helps!

Pretty sure a lamp.

A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.

Answer:

6/9

Step-by-step explanation:

Answer:

the slope is 2 the y intercept is -3

Step-by-step explanation:

hope this helps

Answer:

5 or

Step-by-step explanation:

Answer:

a = (M² - f)/(3d)

Step-by-step explanation:

Step 1: Write equation

M = √(3ad + f)

Step 2: Solve for a

Answer:

the answer should be B)1/2

Step-by-step explanation:

there are 4 spots to land on R and 8 spots in total so it is 4/8 and when you simplify it comes out as 1/2

A because 2 is half of 4 and 18 is half of 36.

Step-by-step explanation: because 2 is half of 4 and 18 is half of 36.

Answer:(x+3)(3x+4)

Step-by-step explanation:

Answer:

(A.) 1/9

Step-by-step explanation:

So there are 9 options to choose from and the question asked about 2 of them.

I took those 2 and multiplied them by 9 which gave me 18.

So I put 2 over 18 which can be simplified by 2.

So my final answer was 1/9.

[tex]2 * 9 = 18\\\\\frac{2}{18} = \frac{1}{9}[/tex]

Answer:A

Step-by-step explanation:

The inverse of the function is y = (x +1) /2, the next step is to solve the equation for y, the correct option is A.

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.

The function is f(x) = 2x -1

The inverse of a function is determined by interchanging the variables x and y and then solving for y in terms of x.

Patel replaced f(x) by y, y = 2x -1

He then switched  x and y, x = 2y -1

The next step is to solve the equation for y.

2y = x +1

y = (x +1) /2

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Step-by-step explanation:

I am not sure if I understand you right about what is needed.

I would understand we need the angle BAC (at A).

first of all, this is a right-angled triangle.

Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

in our case that means

AC² = x² + y² = 4² + 6² = 16 + 36 = 52

AC = sqrt(52)

now we can use the law of sine to get the other angles.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the corresponding angles being opposite.

in our case

y/sin(A) = AC/sin(B) = AC/sin(90) = AC

sin(A) = y/AC = 6/sqrt(52) = 0.832050294...

the angle A = 56.30993247...° ≈ 56.3°

Answer:

x^2 -1 - 5(x-1)

Step-by-step explanation:

p(x) = x^2 - 1 and q(x) = 5(x - 1)

p(x) - q(x) = x^2 - 1 - ( 5(x-1))

               Distribute

                = x^2 -1 - 5(x-1)

The [tex]x^{th}[/tex] number in the sequence will be   [tex]F[x]=\dfrac{5}{2} F[x][/tex]

The given function is

[tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]

Now at  [tex]x=x+1[/tex] for the function

[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x+1-1}[/tex]

[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x }[/tex]

Now we can write

[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1} \dfrac{5}{2}^1[/tex]

Since     [tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]

so

[tex]F[x]=\dfrac{5}{2} F[x][/tex]

Thus the [tex]x^{th}[/tex] number in the sequence will be   [tex]F[x]=\dfrac{5}{2} F[x][/tex]

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Answer:

A

Step-by-step explanation:

Took exam and got 100

First, let's define some variables.

x = # of cell phones sold.

y = total weekly income.

y = $5.25x + $80

F is the correct answer choice.

Answer:

Step-by-step explanation:

16. 9a=15x12

9a=180

a=20

17. 9-t=t+3

-t-t=3-9

-2t=-6

t=6/2

t=3

18. 2y+12=3y+12-y

2y+y-3y=12-12

0=0

=> 2y= -12

y= -6

19.

17+3z-6-11z=-7z-14

17+3z-6-11z+14=-7z

17-6+14=-7z-3z+11z

25= -10Z+11z

25=Z

Answer:

C. √26

Step-by-step explanation:

The answer is 5.09902

Letter "C" is surely closest to 5

Answer:

The volume of each juice box is 15 so 15 times 6 equals 90

Step-by-step explanation

To het volume you have to multiply 1,3 and 5 together to get 15 then 15 times 6 equals 90

Answer:

Step-by-step explanation:

Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex]

x-3x^3

Step-by-step explanation:

just pretend they are in parentheses and open them