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EleoNora [17]
4 years ago
13

A function f(x) has x-intercepts of -3 and -5: What is the constant term in the function?

Mathematics
1 answer:
Artist 52 [7]4 years ago
8 0

Answer:

15

Step-by-step explanation:

Given that the x- intercepts are x = - 3 and x = - 5

Then the factors are (x + 3) and (x + 5)

f(x) is then the product of the factors, that is

f(x) = (x + 3)(x + 5) ← expand factors using FOIL

f(x) = x² + 8x + 15 ← constant term is 15

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Step-by-step explanation:

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Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents. Type the correc
Kryger [21]

Answer:

The x-intercepts of the quadratic equation: x = -1 , x = -2/3

See explanation below

Step-by-step explanation:

The question is incomplete as the quadratic equation is missing. I would show you how to find the x intercept of a quadratic equation using the factors

Quadratic equation is in the form: ax² + bx + c =0

Where a, b and c are constant

Let's consider the quadratic equation below to solve the question:

2x² + 5x + 3 = 0

By Factoring the expression: (+2) + (+3) = 5; (+2) ×(+3) = 6

2x² + 2x +3x + 3 = 0

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(2x + 3) and (x+1) are the factors of the quadratic equation.

We would equate both to zero to find x-intercepts

2x + 3 = 0 or x+1= 0

2x = -3 or x = -1

x = -2/3 or x = -1

The x-intercepts of the quadratic equation: x = -2/3 or x = -1

The The x-intercepts of the quadratic starting with lower value:

x = -1 , x = -2/3

6 0
3 years ago
Extra points and top BRAINIEST!!Lorie correctly determines that for the triangles below, the statement and the statement both de
Allushta [10]

The rest of the question is the attached figure

========================================

solution:

========

As show in the attached figure


∠M = ∠R = 54.4°


∠N = ∠T = 71.2°


∠O = 180° - (∠M + ∠N) = 180° - (54.4°+71.2°) = 54.4°


∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°


∠O = ∠S = 36°


∴ Δ MNO is similar to Δ RTS


So, the correct statement:


The triangles each have two given angle measures and one unknown angle measure.



3 0
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