Factor 15y2 + 10y − 40.

Mathematics

1 answer:

Vaselesa [24]2 years ago

3 0

see how it do it in the picture and hope it helps you..

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Peter won £45 as a price. He gave 4/5 of the money to Roger and Bethan. Rogers and Bethan shared the money in the ration 2:3. Wo

Aleksandr-060686 [28]

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36 to R AND B
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3 years ago

4x+y=8 and x+3y=8 graphed

IRISSAK [1]

$standard \ linear \ equation\ :\\\\y=ax+b\\\\ \begin{cases} 4x+y=8\ \ |\ subtract\ 4x\ to\ both\ sides\\ x+3y=8 \ \ |\ subtract\ x\ to\ both\ sides \end{cases}\\\\\begin{cases} y=-4x+8 \\ 3y=-x+8\ \ | \ divide \ each \ term \ by \ 3 \end{cases}$

$\begin{cases} y=-4x+8 \\ y=-\frac{1}{3}x+\frac{8}{3} \end{cases}\\\\y=-4x+8\\ To \ find \ the \ x-axis \ intersection \ point, \\set \ y \ equal \ to \ zero \ and \ solve \ for \ x : \\ \\y=0 \ \to 0=-4x+8\\\\4x=8 \ \ | \ divide \ both \ sides\ by\ 4 \\\\x=2\\\\ point : \ \ (2,0)$

$To \ find \ the \ y-axis \ intersection \ point, \\set \ x \ equal \ to \ zero \ and \ solve \ for \ y : \\ \\x=0 \ \to y=-4 \cdot 0+8\\ y=8 \\ point: \ \ (0,8)$

$y=-\frac{1}{3}x+\frac{8}{3}\\\\ \ the \ x-axis \ intersection \ point \\ \\y=0 \ \to 0=-\frac{1}{3}x+\frac{8}{3}\\ \frac{1}{3}x=\frac{8}{3} \ \ | \ multiply\ both\ sides\ by\ 3 \\\\x=8 \\\\point: \ \ (8,0)$

$the \ y-axis \ intersection \ point \\ \\x=0 \ \to y=-\frac{1}{3} \cdot 0+\frac{8}{3} \\ y=\frac{8}{3} \\ point : \ \ (0,\frac{8}{3})$

$Answer :\\\\ \begin{cases} y=-4x+8 \ \ | \ multiply \ each \ term \ by \ (-3) \\ 3y=-x+8 \end{cases}\\\begin{cases} -3y=12x-24 \\ 3y=-x+8 \end{cases}\\+-------\\0=11x-16\\11x=16\ \ | \ divide \ both \ sides\ by\ 11\\x=\frac{16}{11}$

$y=-4 \cdot \frac{16}{11}+8 \\ y=- \frac{ 64}{11}+\frac{88}{11}\\y= \frac{24}{11}\\\\\begin{cases} x=\frac{16}{11} \\ y=\frac{24}{11} \end{cases}$

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3 years ago

The function f(x) is given by the set of ordered pairs.

My name is Ann [436]

Answer: f(0) = 6.

Explanation:

Ther ordered pairs are: (x,y) or (x, f(x) )

So, (1,0) means that f(1) = 0 which denies the fourth choice.

(-10,2) means that f(-10) = 2 which denies the first choice

(0,6) means that f(0) = 6, which is the third choice. So, that is the true equation.

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3 years ago

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Complete the factorization.<br><br> a^2+3a-28=(a-4)(a+ )

Murrr4er [49]

Answer:

Step-by-step explanation:

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2 years ago