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yuradex [85]
2 years ago
5

Use the vertex formula to find the vertex of the quadratic function ​f(x)=−x2+6x−10.

Mathematics
1 answer:
enyata [817]2 years ago
5 0

Answer:

3,-19

Step-by-step explanation:

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Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
maxine hosted a dinner party at her favorite restaurant. she had to pay $12 per guest. the restaurant took $72 off the bill due
kolbaska11 [484]
" $300 = $12g - $72 " .
4 0
3 years ago
Four sisters bought a present for their father. They received a 10% discount on the original price of the gift. After the discou
Pani-rosa [81]
9 dollars represents 90% of the cost. Divide 9 by 0.90 to get the original price, 10 dollars
8 0
3 years ago
Read 2 more answers
Enter the equation of the circle in standard form with center and radius given.\\\\\\\\\\\Center (8,0), radius = sqrt 3/////////
ehidna [41]

Answer:

 (x - 8)^2 + y^2 = 3.

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

Here h = 8, k = 0 and r^2 = (√3)^2 = 3

The answer is  (x - 8)^2 + (y - 0)^2 = 3

or (x - 8)^2 + y^2 = 3.

4 0
3 years ago
Which number line shows the correct placement of 25%,14 1 4 , and 12 1 2 ?
3241004551 [841]

Answer:

3.5

Step-by-step explanation:

25%=0.25

0.25*14=3.5

7 0
3 years ago
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