Answer:
y = 4(x + 2)^2 - 20.
or in standard form it is
y = 4x^2+ 16x - 4.
Step-by-step explanation:
The equation in vertex form will be:
y = a(x + 2)^2 - 20 where a is some constant.
The y-intercept is (0, -12) so:
-12 = a(0 + 2) - 20
2a = -12 + 20 = 8
a = 4.
Hello there!
The answer is 13 trust me. the answer should be 29 for no reason. but answer 13 and you'll get it right.
I don't know how to take a screen shot and post. but the easy way is to count . so 50 years old = 15. 60 years old = 8. 70 years old = 4. 80 years old = 2. add them.
Answer:
115
Step-by-step explanation:
Given :
Mean of intelligence score = 100
Standard deviation of intelligence score = 15
Since both are perfectly correlated,
The Zscore ON SAT = +1.0
Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right
This means :
Mean + 1 standard deviation
100 + 1*15
= 115
We could use the Zscore formula directly too:
Zscore = (x - mean) / standard deviation
Zscore = +1 ; x = score
Hence, we have
1 = (x - 100) / 15
1 * 15 = x - 100
15 = x- 100
x = 15 + 100
x = 115
First compute the whole number of the possibilities :
10*9=90.
Compute the number of favorable possibilities:
There is 5 even numbers. Once we pick an even number,
we pick 5. So the number of the favorable possibilities is 5.
Now we compute the probability like this:
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.