Solve the following equation for y, and the identify the slope of the line:9x-3y=15

PLEASE HELP

Finger [1]

The range of the function is $\{-19,-4,16\}$

Explanation:

The function is $f(n)=5n-4$

The domain of the function is $\{-3,0,4\}$

We need to find the range of the function.

The range can be determined by substituting the values of domain in the function.

Thus, the range of the function when the domain is -3 is given by

$f(-3)=5(-3)-4$

$=-15-4$

$=-19$

Thus, the range is -19 when $n=-3$

The range of the function when the domain is 0 is given by

$f(0)=5(0)-4$

$=0-4$

$=-4$

Thus, the range is -4 when $n=0$

The range of the function when the domain is 4 is given by

$f(4)=5(4)-4$

$=20-4$

$=16$

Thus, the range is 16 when $n=4$

Thus, the range of the function is $\{-19,-4,16\}$ when their corresponding domain is $\{-3,0,4\}$

Arranging the range in order from least to greatest is given by

$\{-19,-4,16\}$

Hence, the range of the function is $\{-19,-4,16\}$

6 0

3 years ago

Mr. Smith built a rectangular-shaped sandbox for his children, measuring 4 feet by 4 feet by 6 inches. Sand has a density of app

ehidna [41]

Answer:

To completely fill the sandbox will cost $56

Step-by-step explanation:

First, we calculate volume of the rectangular-shaped sandbox:

$V=long*with*height\\V=4feet*4feet*0.5feet\\V=8cubicfoot$

We know that density of sand is 100 pounds per cubic foot. Then, to fill the sand box that has a volume of 8 cubic foot, we calculate by rule 3:

1cubic foot..............100 pounds

8 cubic foot.............x pounds

$x=\frac{8*100}{1}$

$x=800 pounds$

We will need 800 pounds of sand to fill the sandbox, then we can calculate by rule 3 the number of bags needed and next the total cost of them:

50 pounds.......1bag

800 pounds.....x bags

$x=\frac{800*1}{50} \\x=16$

To calculate the cost:

1 bag ..................$3.50

16 bags.................$x

$x=16*3.50\\x=$56$

To completely fill the sandbox will cost $56

4 0

3 years ago

A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl

lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0

3 years ago

during normal sleep, a bears heart beats about 50 times a minute. in its deepest state of hibernation a bears heart may beat 50

Stels [109]

The bear beats its heart 50/6 times a minute during deep hibernation.

Thats 12 times a minute

45minutes x 12 times a minute

45x12 = 540

Answer: 540 times

5 0

3 years ago

Read 2 more answers

Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far di

Schach [20]

In 5 hours Paul travelled 115 miles

4 0

3 years ago