Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Step-by-step explanation:
Insurance is a contract in which an insurer promises to pay the insured party a sum of money if one or more specified events occur in the future, in return for regular small payments - known as premiums. The purpose of insurance is to reduce your business' exposure to the effects of particular risks.
X // Y, Y // Z,
By inference X // Z
The third option.
Answer:
52.5
Step-by-step explanation:
You would use the Pythagorean theorem to solve this. Using the formula,
a^2 + b^2 = ^2
You would have an equation of 50^2 + 16^2 = c ^2.
50^2 is 2500, and 16^2 is 256.
There, you have 2500+256 = c^2
add those together, and you have 2756.
Now, you have to find the square root of 2756 (to solve 2756 = c^2)
which leaves you with 52.4976189936
. Rounded to the nearest tenth, you end up with 52.5.
Answer:
C
Step-by-step explanation:
3³ = 27
(3x²)³ = 27x⁶
(y³)³ = y⁹
(z³)³ = z⁹
ans = (27x⁶y⁹)/z⁹, which is answer C
