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Fed [463]
3 years ago
7

Factor 20x^2+15x-35 you must show your work

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

5 (x - 1) (4 x + 7)

Step-by-step explanation:

Factor the following:

20 x^2 + 15 x - 35

Factor 5 out of 20 x^2 + 15 x - 35:

5 (4 x^2 + 3 x - 7)

Factor the quadratic 4 x^2 + 3 x - 7. The coefficient of x^2 is 4 and the constant term is -7. The product of 4 and -7 is -28. The factors of -28 which sum to 3 are -4 and 7. So 4 x^2 + 3 x - 7 = 4 x^2 + 7 x - 4 x - 7 = 7 (x - 1) + 4 x (x - 1):

5 7 (x - 1) + 4 x (x - 1)

Factor x - 1 from 7 (x - 1) + 4 x (x - 1):

Answer: 5 (x - 1) (4 x + 7)

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Answer:

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Step-by-step explanation:

6 0
3 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

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                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Please Solve The Triangle for x
telo118 [61]
What triangle? Is there one on here?
4 0
2 years ago
Anyone please help me hurry ????
Sergeu [11.5K]

Answer:

No, She is not correct.

Step-by-step explanation:

A reflection across the Y axis changes the X value.

If you look at point B and point B prime, the coordinates dont change at all. Which makes this incorrect, I believe.

7 0
3 years ago
Read 2 more answers
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BARSIC [14]

Answer:

Step-by-step explanation:

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

or f(x)=x^3-3x^2+2x

3 0
3 years ago
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