The answer to represent a check for 10$ is A. -10
The answer is <span>a.)(x - 4)2 = 3.
(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0
Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0
Thus:
8x = 2ax and a² - b = 13
Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4
Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3
Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
Answer:
lowest score a college graduate must earn to qualify for a responsible position is 578
correct option is D. 578
Step-by-step explanation:
given data
mean = 500
standard deviation = 50
distribution = 6 %
to find out
What is the lowest score a college graduate must earn to qualify for a responsible position
solution
we know that here Probability P that is express as
P ( Z > x ) = 100% - 6% .....................1
so with the help of normal table
here value of Z is = 1.55 from cumulative probability 0.94
so by z score formula here x will be
x = z × standard deviation + mean ................2
so put here value
x = 1.55 × 50 + 500
x = 577.7387 ~ 578
so lowest score a college graduate must earn to qualify for a responsible position is 578
Both angles WILL have the same measure.
So,
3x-10= x+40 (you have to set the equations equal to one another)
Now, add 10 to both sides.
3x=x+50
Subtract x on both sides.
2x=50
Divide both sides by 2.
x=25
Now, plug in x.
(25 +40)= 65
(3(25)-10)= 65
x equals 25 and both angles are equal to 65. Or "B".
I hope this helps!
~cupcake
The area is 47.5 feet squared.
