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Molodets [167]
3 years ago
11

Solve by factoring. 1.) 0=6x^2-13x-5 2.) 0=4x^2-7x+3

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

1. x= -1/3 or x= 5/2

2. x=3/4 or x=1

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Factor completely<br> (X^2 + x - 6) (2x^2 + 4x) =
Vikki [24]

Answer:

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

Step-by-step explanation:

(X^2 + x - 6) (2x^2 + 4x) =

Let's open the brackets carefully

x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

8 0
3 years ago
Which line segment is a chord of J in the diagram below?
masha68 [24]
B 

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5 0
3 years ago
People are randomly chosen from a group of 7 boys and 5 girls. Determine which scenario is more likely to happen.
andre [41]

Answer:

A

Step-by-step explanation

Well the boys can be chosen again all in a row but the girls cdan't therfore the answer is A

Hope This Was Helpful!

6 0
2 years ago
For the right triangles below, find the exact values of the side lengths b and d.
Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

7 0
3 years ago
Julio rented a bike from Carlos' Bikes. It
anastassius [24]
5+5=10+20=30 :) that’s your answer
4 0
2 years ago
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