Answer:
Step-by-step explanation:
we know that the total time of the show is 30 minutes.
commercial part = 3x+2
entertainment part = y
also we know that y = 3x +2
y + 3x+2 = 30
we can also say that
2(3(x) +2) = 30
so then
6x +4 = 30
6x = 26
x = 4
4 is the time in minutes for commercials
It depends on the problem really. One example is that you drive 10 miles in 2 hours. So you divide the distance over time to get 10/2 = 5. This means you drove 5 miles per hour (mph). The unit rate for this example is 5 mph.
Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>
<em />
Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4
x =6
Hence, you will need 6 cups of sugar.
