Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?
1 answer:
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Answer:
-22
Step-by-step explanation:
The graph from which the information is to be read is attached below.
We want to find the value of −3⋅f(−8)+7⋅g(2).
From the graph:
- f(-8)=-2
- g(2)=-4
Therefore:
−3⋅f(−8)+7⋅g(2)=−3(-2)+7(-4)
=6-28
=-22
−3⋅f(−8)+7⋅g(2)=-22
Answer:
<h2> y = 0.25x + 2</h2>Step-by-step explanation:
(0, 2) ⇒ x₁ = 0, y₁ = 2
(-4, 1) ⇒ x₂ = -4, y₂ = 1
So the slope:
The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is: y - y₀ = m(x - x₀)
m = 0.25
(0, 2) ⇒ x₀ = 0, y₀ = 2
Therefore:
y - 2 = 0.25(x - 0)
y - 2 = 0.25x {add 2 to both sides}
y = 0.5x + 2 ← the slope-intercept form of the equation