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finlep [7]
3 years ago
7

Write y=-3(x-7)^2-8 in vertex form

Mathematics
2 answers:
Veronika [31]3 years ago
7 0

It's in the verex form:

f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex

y=-3(x-7)^2-8\\\\(7,\ -8)-vertex

GalinKa [24]3 years ago
4 0
<h2>Answer:</h2>
  • The given equation is already in vertex form.
  • The vertex is located  at (7,-8)
<h2>Step-by-step explanation:</h2>

We Know that a standard form of a quadratic equation is given by:

                  y=ax^2+bx+c

where a,b and c are real numbers

and the vertex form is given by:

                 y=a(x-h)^2+k------------------(1)

where the vertex of the function is at: (h,k)

Here we have the function as:

          y=-3(x-7)^2-8

We observe that the equation matches the equation as in equation (1) ; such that a= - 3, h=7 and k= -8

Hence, the equation is already in vertex form and the vertex is at (7,-8)

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So right now i'm doing "solving Inequalities" i need help with this question<br> 3v-12&gt;5v+10
LenKa [72]

Answer:

v < -11

Step-by-step explanation:

  1. Combine like terms: 3v - 5v > 12 + 10
  2. Simplify: -2v > 22
  3. Divide each side by -2 to cancel out the -2 next to v. It should now look like this: v < -11

I hope this helps!

7 0
3 years ago
Find the approximate solution(s) to each of the following equations graphically. Use technology to support your
ser-zykov [4K]

Answer: x" = 5.69

Step-by-step explanation:

The graphic solution is attached.

Verifying the solution:

Existence condition: x > 0

2x - 4 = √x + 5

√x =2x - 4 - 5

√x =2x - 9 (²)

x = (2x - 9)²

x = 4x² - 36x + 81

4x² - 36x - x + 81 = 0

4x² - 37x + 81 = 0

Δ = -37² - 4.4.81 = 1369 - 1296 = 73

x = 37 ±√73/8                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          

x' = 3.55

x" = 5.69

checking:

2*3.55 - 4 = 3.1

√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution

2*5.69 - 4 = 7.39

√5.69 + 5 = 7.39 ∴ it's the only solution

4 0
3 years ago
Olga has 5 times as many dimes as nickels. if she has $3.30, how many of each coin does she have
Colt1911 [192]
She should have 
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dimes: 30 . = 300
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6 0
3 years ago
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arsen [322]

Answer:

Try math-------way as a resource they give free answers.

Step-by-step explanation:

x<29

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Ahat [919]
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