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Margarita [4]
3 years ago
11

Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7). f(x)=

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

y=5(x-3)^2+2

Step-by-step explanation:

You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.

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A store prices tapes by raising the wholesale price 50% and adding 25 cents .What must a tape's wholesale price be if the tape s
Andre45 [30]

Let's call the store value as s and the wholesale price as w. A store prices tapes by raising the wholesale price 50%(0.5 in decimals) and adding 25 cents, writing this as an equation, we have

s(w)=w+0.5w+0.25

If we invert the equation we're going to find the the wholesale price as a function of the store price.

\begin{gathered} s=w+0.5w+0.25 \\ s=1.5w+0.25 \\ s-0.25=1.5w \\ w(s)=\frac{s-0.25}{1.5} \end{gathered}

Now, to find the wholesale price if the sales price is $1.99, we just need to evaluate s = 1.99 on the function we created.

w(1.99)=\frac{1.99-0.25}{1.5}=1.16

The wholesale price is $1.16.

5 0
1 year ago
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
Vadim26 [7]

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

Given

6x^{4} - 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )

= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term

= (6x² - 5)(x² + 2)

8 0
3 years ago
Read 2 more answers
Estimate it as a whole number
denis-greek [22]

Answer:

2

Step-by-step explanation:

First, you do the subtraction 120-21.4 which is 98.7. So since you know its x^7, the number isn't going to be big. By guessing and checking, we start with 2. 2^7 is 128. We know that 1^7 would just be 1, so the closest whole number would be two.

7 0
3 years ago
14 POINTS 7x - 3 = 18
Svetlanka [38]
Subtract 3 first so it would be 7x=15
then divide by 7 so x would be approximately 2.14
5 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST<br> Solve for t<br><br> 4 (t + 1/4) = 3<br><br> t =
Ulleksa [173]

Answer:

t= 1/2

Step-by-step explanation:

hope this help

8 0
3 years ago
Read 2 more answers
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