Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
Answer:
There isn't enough information
Step-by-step explanation:
In the table, on the side with a we can see that there is not one with 6 as a possible term. Therefore, we cannot find the term for b or c since you need both a and c to find b.
First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.
37 + 13 = 50.
Jasmine is pouring the punch into 6 ounce cups. To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).
50/6 ≈ 8.33
Therefore, Jasmine can
A. make 8 full cups of punch with the apple juice and grape juice.
and
B. Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.
Answer:
x=6
Step-by-step explanation:
10-5x=3(x-4)-2(x+7)
Distribute
10-5x=3x-12-2x14
Combine like terms
10-5x = x-26
add 5x to each side
10-5x+5x = x+5x-26
10 = 6x-26
Add 26 to each side
10+26 = 6x-26+26
36 = 6x
Divide by 6
36/6 = 6x/6
6 =x
