Answer:
9. a = -1
10. b = 20
Step-by-step explanation:
The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.
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<h3>9.</h3>

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<h3>10.</h3>

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<em>Additional comments</em>
Here are the answer checks:
9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes
10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes
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Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.
Answer:
3, 10, 1080
Step-by-step explanation:
A coefficient, is the number that is multiplying a variable, such as x. A constant is any other number, not multiplying a variable.
For part one, the number multiplying the variable x is 3, so 3 is the coefficient.
For part two, the only number not multiplying a variable is the 10, so that is the constant.
To find how many miles she drove, we first need to subtract the first 30 dollars from the final payment.
300-30=270
We than need to divide 270 by .25, because that is how much it costed per mile.
270/.25=1080
Answer:
Ross
Step-by-step explanation:
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<span>y = 3x² + 18x
factor out the leading coefficient
y = 3(x²+6x)
Complete the square
coefficient of the x term: 6
divide it in half: 3
square it: 3²
use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
= 3(x+3)² - 3·3²
= 3(x+3)² - 27
vertex (-3, -27)</span>
Answer: 34,567 is an odd number
Step-by-step explanation: