3 years ago

The systems shown have the same solution set.

Mathematics

2 answers:

Sonbull [250]3 years ago

6 0

The answer is true :) hope this helped

yuradex [85]3 years ago

4 0

Answer: true

Step-by-step explanation:

Sry if I’m wrong

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Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities:

$r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11$

$r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7$

So there are 4 possible values for $b$ : -11, -7, 7, and 11.

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3 years ago

Jan copied a picture of her house on the copier machine. The actual measurement is four-and-eight-tenths inches by six inches. T

a_sh-v [17]

Answer:

It's 10

Step-by-step explanation:

I know this is right.

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3 years ago

Divide the sum of (-5), (-10) and (-9) by the product of 2 and (-3).

kaheart [24]

Answer:

$\large \boxed{4}$

Step-by-step explanation:

$\sf The \ sum \ of \ -5, \ -10, \ and \ -9 \ is \ divided \\ by \ the \ product \ or \ multiplication \ of \ 2 \ and -3.$

$\displaystyle \frac{-5+-10+-9}{2 \times -3}$

$\displaystyle \frac{-24}{-6}$

$=4$

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Smallville is 104 miles east of Bigtown. Medburg is 206 miles east of Bigtown. How many miles is Medburg from Smallville?

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102 miles

Step-by-step explanation:

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Step-by-step explanation:

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