Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2
If you simplify this expression you get 2x 2 -7x -2
Answer:
Image below
Step-by-step explanation:
<em>Given: Side lengths of a right triangle 3,4 and 5 units.
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To draw: A right triangle with the given side length.
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Solution:
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We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem.
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From the given side length,
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Hypotenuse = 5 unit
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We can take any of the base and perpendicular.
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Let, Base = 3 unit
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Perpendicular = 4 unit.
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It a right-angle triangle with a hypotenuse 5 unit.
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Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.</em>
Answer:
what does this mean
Step-by-step explanation:
Answer:
y − 1 = -2 (x − 3)
Step-by-step explanation:
Point slope form is:
y − y₁ = m (x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
Given that m = -2 and (x₁, y₁) = (3, 1):
y − 1 = -2 (x − 3)