Answer:
f(-5)= 90, g(7)= -3x+4
Step-by-step explanation:
First Solve f(x)
f(x)= 3×^2-3x
Plug in -5 to the x
3(5)^2-3(-5)
f(x)= 90
Then Solve g(x)
g(x)=-3x+4
Plug in the 7 in the x
g(x)=-3x+4
g(x)=17
Two points determine a line. In slope intercept form we have:
y = -2x + b
So:
-12 = -2(3) + b and [first equation]
k = -2(6) + b [second equation]
We have a system of simultaneous equations with two unknowns. The first is trivially easy to solve:
-12 = -6 + b [Evaluate -2(3)]
-6 = b [Add +6 to each side]
So we substitute this into the second equation:
k = -2(6) + -6 = -18
We could double check our work knowing that m=Δy/Δx
We expect m to be -2. Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?
;)
Answer:
See below
Step-by-step explanation:
f(x) = a(x - h)^2 + k
f(x) = 2(x-4)^ 2 +3 ? correct me If incorrect
a h k
a= 2
h = 4
k = 3
vertex = (h, k)
vertex= (4,3)
The slope of the equation is 1/2
The estimated sum of the numbers fifty-eight (58) and twenty-nine (29) is equal to ninety (90).
<h3>What is the difference between a regular sum and an estimated sum?</h3>
In an estimated sum, the numbers are rounded; on the other hand, in a regular sum, the numbers are not changed.
<h3>What is the estimated sum of 58 and 29?</h3>
1. Round the numbers:
- 58 = 60 as this number is nearest to 60 than to 58.
- 29= 30 because of the same reason explained above.
2. Add the rounded numbers:
Learn more about estimated sum in: brainly.com/question/660898
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