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e-lub [12.9K]
3 years ago
5

What is the x and y intercept of f (x) = -x^2 + 25

Mathematics
1 answer:
Masja [62]3 years ago
8 0

Answer: the x intercept is -5  and the  y intercept is 25.

Step-by-step explanation:

f(x) = -x^2 + 25  

The x intercept is when y is zero and the  y intercept is when x is zero.So input zero into the  expression and solve for y.

-1(0)^2 + 25 = 25 so the y intercept is 25.

0=-x^2 +25  

 -25      -25

-25 = -x^2

x^2 = 25

x = -5   or 5

 

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Find the sum of the arithmetic sequence. 5,7,9,11,...,23
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Answer:

140

Step-by-step explanation:

The arithmetic series is 5, 7, 9, 11, ........., 23.

First u have to determine the no. of terms that can be done by using

Tₙ = [a + (n - 1)d]

Tₙ-------nth term

a---------first term

n---------no.of terms in the series

d---------common difference

here a = 5,d = 2.

let it contain n terms Tₙ= [a + (n-1)d]

Substitute Tₙ, a, and d in the equation

23 = 5 + (n - 1)2

Subtract 5 from each side.

18 = (n-1)2

Divide each side by 2

(n - 1) = 9

Add 1 to each side

n = 9 + 1 = 10

The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]

Substitute Sₙ, a, n and d in the equation

Sₙ= (10/2)[2(5) + (10-1)2]

Sₙ= (5)[10 + (9)2]

Sₙ= 5[10 + 18]

Sₙ= 5[28] = 140

Therefore the sum of the arithmetic sequence is 140.

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