Find the domain of the rational function.
f(x)= x+9/ x^2+ 16 ?

Answer:

Answers in explanations, hope they're correct!

Step-by-step explanation:

12. You will be using 0 gallons of gas when traveling 0 miles.

13. 20 gallons

14. (2,6)

15. You will package 15 dozens of cupcakes after 5 hours

Answer:

12: 0 miles uses 0 gallons of gas

13: 20 gallons

14: (1,3)

15: it takes 5 hours to make 15 dozen cupcakes

Step-by-step explanation:

13) 4 gallons for every 100 so multiple by 5 for 500

Answer:

$72

Step-by-step explanation:

Answer:

After ten weeks both diego and lin will have 57 dollars

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2x + 3 > -9

2x > -12

x > -6

Choice D represents x > -6

Answer: i think its the last one but if not then the second to last

Step-by-step explanation:

Answer:

-13

Explanation:

I did the math lol

Answer:

(C)Zero

Step-by-step explanation:

Because of the zero on top of the y in the division anything that you multiply or divides is always zero even a negative so the answer is zero

Answer:

Zero

Step-by-step explanation:

Anything multiply or divide by 0 is always 0

Answer:

7/10x =7/3

-7/3 =-7/10x

This is the answer cause I just took the test and these were the right answers.

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 5*2= 10 semesters

Interest rate (i)= 0.05/2= 0.025

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

Answer:2 3/4+ 3 5/8= 6 3/8

Step-by-step explanation:

2 3/4= 2 6/8+3 5/8=5 11/8=6 3/8

Answer:

9.9

Step-by-step explanation:

Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9

Answer:

36:2

90:5

Step-by-step explanation:

I got 2 because if we figure out how many licks she gets for every 1 lollipop that will help find the other numbers. When we divide 54 by 3 we get 18. For every 1 lollipop she lickes 18 times. To figure out how many lollipops for 36 I added 18 plus 18 which gives me 36. I added it twice or multiples by 2. Since I multiplied by 2 the lollipops will be 2. Since we know the rate of change which is 18. We know that for 3 lollipops the person will lick 54 times. I added 54 plus 18 two times which gave me 90. So for 90 licks the person will have 5 lollipops. I hope this helps.

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

Answer:

$15

Step-by-step explanation:

Let A, B, C and D represent the four friends respectively.

Given the following data;

Amount earned by A = $15

Amount earned by B = $20

Amount earned by C = $25

Amount earned by D = $40

Total amount earned = 15 + 20 + 25 + 40

Total amount earned = $100

For an equal ration, each friend should be given;

Each earnings = total amount earned/number of friends

Substituting into the equation, we have;

Each earnings = 100/4

Each earnings = $25

Hence, for D with $40, would become;

D = $40 - $25

D = $15

Therefore, D would give A $10 and give B $5.

Answer / Step-by-step explanation:

500g - 300g = 200  {200 ÷ 500 = 0.4}  ---- 300g pork

0.4 × 150g = 60g tomatoes

0.4 × 100g = 40g butter

0.4 × 120ml = 48ml water

0.4 × 45g = 18g green chilli

0.4 × 8og = 3.2og onion

Answer:

y=x+40

Step-by-step explanation:

Better?

Answer: y = x + 40 (for the sake of this problem it’s y = 1x + 40)

calculate slope using y2-y1 / x2-x1

(2, 42) (3, 43)

43-42/3-2 = 1/1 so slope is 1

plug in a point to find b

y = x + b

42 = 2 + b

b = 40

y=x+40 final answer

Answer:

Step-by-step explanation:

2x + 5 = 3x - 7

5 + 7 = 3x - 2x

12 = x

Answer:

Step-by-step explanation:

Let the numbers be x and y

Then, substituting y:

Correct option is 1)

Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up

Step-by-step explanation:

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

y < 3x-4

Answer:

13.4

Step-by-step explanation:

πr2h

3

Answer:

12.5

Step-by-step explanation:

use pythag to find perpendicular height

then from that your answer should be 4.40cm

Answer:

A) y = -1/2x + 1/2

Step-by-step explanation:

Find the y-intercept(when x = 0), which is 1/2.

Find the slope: m = y2-y1 / x2-x1

I used points: (3, -1), (-3,2)

m = 2 - (-1) / -3 - 3

m = 3 / - 6

m = -1/2

plug this into the slope intercept form equation: y = mx + b

y = -1/2x + 1/2

Answer:

17/8 or 2 and 1/8 in decimal= 2.125

Step-by-step explanation:

5 2/3 Divided by 2 2/3

(5*3) + 2= 17/3

(2*3) + 2= 8/3

17/3 divided by 8/3= 17/3 * 3/8

= 17/8 or 2 1/8

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

Answer:

1

Step-by-step explanation:

It's just 1

Answer:

134.24 in³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h

Plug in the radius, pi, and the height:

V = [tex]\pi[/tex]r²h

V = (3.14)(1.5²)(19)

V = 134.235

= 134.24 in³

So, the volume of the cylinder is 134.24 in³

Answer:

134.24 in³

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

Because their isnt a square root fpr 51

Answer:

The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm

Step-by-step explanation:

The sides of an isosceles triangle are equal in length

Let the base be x cm

Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm

To find the perimeter of a triangle, we add up the sides

x + x + 3 + x + 3 = 15.6

3x + 6 = 15.6

3x = 15.6 - 6

3x = 9.6

x = 9.6/3

x = 3.2 cm

So the base is 3 + 3.2 =6.2 cm

Answer:

hold on its its.............oh yeah 21

Answer:

  b

Step-by-step explanation:

Answer:

x- incept = 14

Step-by-step explanation:

Take any two points and find the slope.

(-94 , 24)   & (-74 , 18)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ = \frac{18-24}{-74-[-94]}\\\\=\frac{18-24}{-74+94}\\\\=\frac{-6}{20}\\\\=\frac{-3}{10}\\[/tex]

(-94 , 24) and m = -3/10

Equation of the line:

[tex]y-y_{1}=m(x- x_{1})\\\\y - 24 =\frac{-3}{10}(x - [-94])\\\\y-24 =\frac{-3}{10}(x + 94)\\\\y-24=\frac{-3}{10}x + 94*\frac{-3}{10}\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2[/tex]

At x-intercept y = 0

0 =  -0.3x - 4.2

4.2 = - 0.3x

4.2/-0.3 = x

14 = x

x- incept = 14