If the two angles are congruent then d=b , e=a , and f=c. That means that EF=AC so the equation is x-5=15. so x=20. Hope this helps!!!
Funtion ! in vertex form is given by
<span>f(x) = 4x^2 + 8x + 1</span> = 4(x^2 + 2x + 1/4) = 4(x^2 + 2x + 1 + 1/4 - 1) = 4(x + 1)^2 + 4(-3/4) = 4(x + 1)^2 - 3
Thus, the least minimun value is (-1, -3)
Also, the least minimum value of function 2 is (-1, 0)
Therefore, function 1 has the least minimum value at (-1, -3)
Answer:
P(z>1.3) = 0.9032
Step-by-step explanation:
We are given:
Mean = 5000
Standard deviation = 1000
x = 6300
P(x>6300)=?
z-score =?
z-score = x- mean/standard deviation
z-score = 6300 - 5000/1000
z- score = 1300/1000
z-score = 1.3
So, P(x>6300) = P(z>1.3)
Looking at the z-probability distribution table and finding value:
P(z>1.3) = 0.9032
So, P(z>1.3) = 0.9032
Answer:
you subtract 7 from both sides
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
If a system decreases by 12% it's the same as multiplying it by .12-1 or .88
This means we can create the following equation
computer value=5300(.88)^n
where n is the number of years
We can then plug in the value of the computer and solve for n
2200=5300(.88)^n
Divide by 5300 and get
.415=.88^n
Then put this into log form and get

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7