9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
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We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
1.75, 2.75, 4
hope this helps!
f(x) = 2 
-4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2 -4x which is the standard form
Answer:
the answer is c
Step-by-step explanation:
you have to multiply the f xn and then add 7 that's when you get n and when you get that you have to find n which means you minus n-f and you get 46
The linear function in slope-intercept form for the cost of a visit of x hours is given as follows:
C(x) = 9x + 31.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the rate means that the slope is of m = 9. When x = 3, C(x) = 58, hence the y-intercept is found as follows:
C(x) = 9x + b
58 = 9(3) + b
b = 31.
Hence the equation is:
C(x) = 9x + 31.
More can be learned about linear functions at brainly.com/question/24808124
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