ok we have given three function h(x) defined in certain limits.for the first function
x≤-2 and second function -2<x≤-2 and for third function x>2
to find h(-1) we have the limit -2<x≤-2 so we need to plug -1 in the function -(x+1)²+2= -(-1+1)²+2=0+2=2.
to find h(-2) we know that we have x≤-2 so we need to plug x=-2 in tghe equation (1/4)x+2=(1/4)(-2)+2=-1/2+2=3/4.
for h(0) we know that zero lies in the limit -2<x≤2 so we need to plug x=0 in equation -(x+1)²+2=-(0+1)²+2=-(1)+2=1.
Answer:
2.89, rounded to the nearest hundredth
Step-by-step explanation:
Given that GPA is weighted by credits, we must first multiply each grade by its credit amount and sum those up to weigh the credits. Then, we divide by the total amount of credits to get the GPA per credit.
So, we start with math,
3.7 *5 + 1.8 *3 + 2.8 * 5 + 2.8 * 4 = 49.1 as the total GPA weighted per credit.
Then, to find the average per credit, we divide by the total amount of credits, which is 5 + 3 + 5 + 4 = 17.
Our answer is 49.1/17 = 2.89, rounded to the nearest hundredth
Answer:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
Answer:
brandon
Step-by-step explanation:
Initially, there id 4 pints of green paint in the bucket.
As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket is 2 pint each.
Let x pints of yellow paint to be added to the bucket to make the desired shade.
Total amount of the paint in the bucket, after addition of pints of yellow color become pint, in which the ampunt of yellow color is pints.
As, the ampunt of yellow color is 80% of the total amount of the mixture, so
So, 6 pints of yellow paint to be added to the bucket to make the desired shade.
Hence, Brandon is correct.
If P <span>is the midpoint of DE then
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4
DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units</span>
