Answer:
Number 4, the last one
Step-by-step explanation:
The measure of angle 4 would be 124
Step-by-step explanation:
x = -4y + 6
Now,
Substituting the value of x on 2x + 9y = 16, we get -.
2(-4y + 6) + 9y = 16
-8y + 12 + 9y = 16
y = 16 - 12
<h3>y = 4</h3>
Now,
Substituting the value of y on 2x + 9y = 16, we get -
2x + 9(4) = 16
2x = 16 - 36
2x = -20
<h3>x = -10</h3>
Hence,
The value of x is -10 and y is 4.
The answer is a)
Let me know if you need an explanation
The average rate of change of f(x) = -3x² + 1 over each of the given intervals are; -18, 6 nd 38
<h3>How to find the average rate of change?</h3>
We are given the function;
f(x) = -3x² + 1
(a) From 2 to 4;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(4) = -3(4)² + 1
f(4) = -47 (4, -47)
Slope = (-47 - (-11))/(4 - 2)
Slope = -36/2
Slope = -18
(B) From -2 to 0;
f(-2) = -3(-2)² + 1
f(2) = -12 + 1
f(2) = -11 (-2, -11)
f(4) = -3(0)² + 1
f(4) = 1 (0, 1)
Slope = (1 - (-11))/(0 - (-2))
Slope = 12/2
Slope = 6
(C) From 2 to 5;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(5) = -3(5)² + 1
f(5) = -74 (0, -74)
Slope = ((-74) - 2)/(0 - 2)
Slope = -76/-2
Slope = 38
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