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Anna35 [415]
3 years ago
15

Determine if the ordered pair satisfies the equation 2x - 3y = 6 a) (6,2) b) (3,-2)

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0
A (6,2)

when plugged in for the x and y values it works
Goshia [24]3 years ago
6 0
a)     2x - 3y = 6
   2(6) - 3(2) = 6
     12  - 6     = 6
                  6 = 6
Therefore, (6,2) is a solution to <span>2x - 3y = 6.

</span><span>b)     2x - 3y = 6            
  2(3) - 3(-2) = 6
            6 + 6 = 6
                12 ≠ 6
Therefore, (3,-2) is not a solution to </span><span>2x - 3y = 6.</span>
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Find a statement that is equivalent to the absolute value equation |9x−9|=7.
Olegator [25]

Answer:9x-9=7 or 9x-9=-7

Step-by-step explanation:

An absolute value is the distance from zero, therefore the answer can not be negative. In this case, 9x-9=7 and 9x-9=-7 both work, because 7 and -7 are the same distance from zero.

8 0
3 years ago
the sum of −2x2 + x + 31 and 3x2 + 7x − 8 can be written in the form ax2 + bx + c, where a, b, and c are constants. What is the
Kitty [74]

Answer:

a+b+c=32

Step-by-step explanation:

we have

(-2x^{2} +x+31)+(3x^{2}+7x-8)

Adds the terms

Group terms that contain the same variable

(-2x^{2}+3x^{2})+(x+7x)+(31-8)

Combine like terms

(x^{2})+(8x)+(23)

where

a=1,b=8,c=23

therefore

a+b+c=1+8+23=32

8 0
3 years ago
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Soloha48 [4]
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Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8

Then set up the "point-slope form":
y - y0 = m * (x - x0)

You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
y0 = 10

Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)

The above equation will work fine for an answer, but let's go a step further and solve for y.

y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8
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3 years ago
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6 0
3 years ago
After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?
LenKa [72]

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7

5 0
2 years ago
Read 2 more answers
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