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2 years ago

Which best describes how to solve the equation for x.

Mathematics

1 answer:

prohojiy [21]2 years ago

7 0

Answer:

B. multiply both sides by c.

Step-by-step explanation:

To solve the equation for x, you have to isolate the x variable on one side of the equation. To do this, do the opposite of any operation applied to x to remove other variables from the x's side of the equation:

x/c = d

multiply both sides of the equation by c to isolate x:

(x/c) * c = d * c

x = dc

Now x can be solved for.

Hope this helps :)

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The model represents x2 – 9x + 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

klio [65]

I didn't get all the part with the tiles, but here's the general answer:

given a polynomial

$p(x)=ax^2+bx+c$

we have that $x-k$ is a factor of $p(x)$ if and only if k is a root of $p(x)$ , i.e. if

$p(k)=ak^2+bk+c=0$

So, given the polynomial

$p(x)=x^2-9x+14$

We can check if $x-9$ is a factor by evaluating $p(9)$ :

$p(9)=81-81+14=14\neq 0$

So, $x-9$ is not a factor.

Similarly, we can evaluate $p(2),\ p(-5),\ p(-7)$ to check if $x-2,\ x+5,\ x+7$ are factors:

$p(2)=4-18+14=0,\quad p(-5)=25+45+14=84\neq 0,\quad p(-7)=49+63+14=126 \neq 0$

So, only $x-2$ is a factor of $x^2-9x+14$

4 0

3 years ago

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A line passes through the points (-1,-1) and (5,8) which points lie on the same line?

djverab [1.8K]

Answer: all points $(x,y)$ that satisfy $y=\frac{3}{2}x+\frac{1}{2}$

Step-by-step explanation:

The slope of the line is

$\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}$

So, substituting into point-slope form, the equation is

$y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}$

Therefore, all points $(x,y)$ that satisfy $y=\frac{3}{2}x+\frac{1}{2}$ will lie on the same line.

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1 year ago

What does the 75th term look like of 6,9,12

leva [86]

Answer:

228

Step-by-step explanation:

We are adding 3 each time so general rule is

Tn= 3n + 3

Therefore

T= 3(75)+3

= 228

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2 years ago

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I need to know which points go wj ere please

g100num [7]

The equations give you information as to where to plot points.

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Karolina [17]

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Then let's try using a rectangle with a smaller ratio:
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There you have it. A rectangle with a smaller area with the same perimeter.
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2 years ago

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