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scoundrel [369]
3 years ago
8

Use the quadratic model P(x) = 25x2 − 24x + 615 to predict P(x) if x equals 8.

Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0
If P(x) = 25x² - 24x + 615
Then, when x = 8:
P(x) = P(8)
= 25(8)² - 24(8) + 615
= 1600 - 192 + 615
= 2023
bija089 [108]3 years ago
6 0

Answer:

2023 is answer

Step-by-step explanation:

P(x)=25x^2-24x+615

for x =8 ,we get  the value

P(8)=25(8)^2-24(8)+615

    =1600-192+615

   =2023

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
2 years ago
I don’t understand this question?
Andrej [43]

Answer:

no, because it has a constant rate of change

Step-by-step explanation:

this is because the x and y change at the same rate. non linear means that they dont change at the same rate.

5 0
3 years ago
mike says 3/3 of his fraction model is shaded blue. Ryan says 6/6 of the same model is shaded blue . are the two fractions equiv
Jet001 [13]
Yes, they are equivalent.  Another equivalent fraction would be any fraction that equals to 1. Eg. 9/9
5 0
3 years ago
Read 2 more answers
What is the answer to: 20*5 thank you very much
Digiron [165]
20 times 5 is 100. We can multiply 2*5 and get 10, then add another zero to make it easier. 
3 0
3 years ago
10 points
ollegr [7]

Answer:

FC=25.9

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

13x-16=4x+11

Solving

9x=27

x=3

The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

13x-16=23

Or

4x+11=23

Thus

FD^2=12^2+23^2=673

Solving

FD=\sqrt{673}

\boxed{FC=25.9}

5 0
3 years ago
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