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Harlamova29_29 [7]
3 years ago
6

Given the equation f(x) = (x + 3)2 – 8, fill in the blanks: Axis of symmetry: x = _______a0 Vertex: ( _______a1, _______a2) Numb

er of real solutions: ________a3
Mathematics
1 answer:
frutty [35]3 years ago
8 0

We have been given an equation f(x)=(x+3)^2-8.  We are asked to fill in the blanks using our given equation.

The axis of symmetry will be the vertical line passing through vertex.

First of all, we will convert our given equation in standard vertex form of parabola as:

Standard vertex form of parabola: y=(x-h)^2+k, where (h,k) is vertex of parabola.

f(x)=(x-(-3))^2-8

Upon comparing our function with standard vertex form, we can see that vertex of parabola is at (-3,-8).

The axis of symmetry will be vertical line passing through point (-3,-8). The vertical line will pass through x=-3, therefore, the axis of symmetry is x=-3.

Since our given parabola is an upward opening parabola, so it has a minimum at (-3,-8). This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.

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8 0
3 years ago
A sandbox has a volume of 648 cubic feet. what is the volume, in cubic yards, of the sandbox?
Eduardwww [97]
We know that

1 cubic yards equals to--------------> 27 <span>cubic feet
then
</span><span>I apply a rule of three
if  </span>1 cubic yards ------------------- 27 ft³
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6 0
3 years ago
In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?
Dovator [93]
Let shirts be x and ties be y
3x+5y=$60    Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39    Equation 2 (Equation 2 will be denoted by !)
*x2  6x + 10y = $120
!x3  6x + 9y = $117
*-!  y = 120-117 =3

Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15

Shirts are $15


6 0
3 years ago
Read 2 more answers
IM DESPERATE I need help with #3. I would like it if you could explain how to do it because there are 2 more that are similar to
hodyreva [135]
$30 • 10%

10% = 0.10

30 • 0.10 = 3

The answer is $27. They got $3 off.

$30 - $3 = $27.
7 0
2 years ago
Read 2 more answers
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