All categories

2 years ago

5. The graph of each function contains the given point. Find the value of 'c'.

Mathematics

1 answer:

frutty [35]2 years ago

4 0

Answer
c= 6
In the picture is how the solution was done

You might be interested in

The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is

Svetradugi [14.3K]

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

$x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}$

From the above equation , y intercept of first line is $\frac{-3}{2}$

Solve the second equation for y and find out y intercept

$2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3$

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

$\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5$

Answer:

The distance between the parallel lines = 1.5

Reference:

brainly.com/question/24145911

7 0

4 years ago

Read 2 more answers

Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?

Lerok [7]

Answer:

$16.50

Step-by-step explanation:

8 0

3 years ago

Name a pair of complementary angles.

Rudiy27

Complimentary angles add up to 90 degrees
AEC and CED are complimentary

7 0

4 years ago

Read 2 more answers

A culture started with 3,000 bacteria. After 8 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after

Sav [38]

Answer:

$3,462\ bacteria$

Step-by-step explanation:

In this problem we have a exponential function of the form

$y=a(b^x)$

where

x is the time in hours

y is the numbers of bacteria

a is the initial value

b is the base

r is the rate of growth

b=(1+r)

we have that

$a=3,000\ bacteria$

For x=8, y=3,300

substitute in the exponential function

$3,300=3,000(b^8)$

solve for b

$1.1=(b^8)$

$b=\sqrt[8]{1.1}$

$b=1.0120$

Find the value of r

$r=b-1=1.0120-1=0.0120=1.20\%$

The equation is equal to

$y=3,000(1.012^x)$

For x=12 hours

substitute the value of x in the equation

$y=3,000(1.012^{12})$

$y=3,462\ bacteria$

8 0

4 years ago

A cupcake recipe calls for 1/6 cups of milk, and you have

valentinak56 [21]

1/6 cups of milk remaining

4 0

2 years ago