Answer:
A = 37 degrees ; B = 82 degrees
Step-by-step explanation:
the angle A plus 143 must measure 180 degrees
angle A = 180 - 143 = 37 degrees
the sum of the inner angles of a triangle is 180 degrees
A + B + C = 180
37 + B + 61 = 180
B = 180 - 98 = 82 degrees
Answer:
97.2
Step-by-step explanation:
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Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
Answer: A
Step-by-step explanation: Range is the distance between one point to the next. That would make A the correct answer.
The slope of the line is 0.35
x = number of items sold
y = total price in dollars
Therefore,
using slope formula,
The slope is rise over run. The slope of a line is the measure of its steepness.
<h3>Slope equation:</h3>
where
y₂ = 3.85
y₁ = 2.45
x₂ = 11
x₁₁ = 7
Therefore,
m = 3.85 - 2.45 / 11 - 7
m = 1.4 / 4
m = 0.35
learn more on slope here; brainly.com/question/24911901
