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Gnom [1K]
2 years ago
14

If f(x) = 2x² then when x = 3, y will equal

Mathematics
1 answer:
USPshnik [31]2 years ago
3 0

Answer:

y = 18

Step-by-step explanation:

Given

f(x) = 2x² ( substitute x = 3 )

y = f(3) = 2(3²) = 2(9) = 18

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How do you find the scale factor?
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2 years ago
Which equation is quadratic in form?
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I think it's the first one... but I'm not pretty sure.

4 0
3 years ago
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Write the eqauation of a line that has the slope pf 6 passes through (-3,5)
Darina [25.2K]
Y = mx + b
slope(m) = 6
(-3,5)...x = -3 and y = 5
now we sub and find b, the y int
5 = 6(-3) + b
5 = -18 + b
5 + 18 = b
23 = b

so ur equation is : y = 6x + 23
6 0
2 years ago
A line segment has endpoints at (4, –6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the giv
Zigmanuir [339]
1) slope = (y₂-y₁)/(x₂-x₁)

Let A and B be A(4,-6) and B(0,2) ; 

m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2 

2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2

x(midpoint) =  (4+0)/2  → x= 2
y(midpoint) =  (-6+2)/2 → y= - 2, so Midpoint M(2,-2)

3) Slope of the perpendicular bisector  to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]

4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :

y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]

2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:

y = (1/2)x + 3

7 0
3 years ago
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