Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Completely factor the following expressions.
4x - 12 = 1/4 x + 3/4=
0.3 x - 1.5 =
Answers
4(x-3)
0.25(x+3)
0.3(x-5).
Explanation:
The GCF, greatest common factor, of 4x and 12 is 4.
We factor this out, placing it outside parentheses.
We then divide both 4x and -12 by 4;
giving us 4(1x-3) or 4(x-3).
The GCF of 0.25x+0.75 is 0.25.
We factor this out, placing it outside parentheses.
We then divide 0.25x and 0.75 by 0.25;
giving us 0.25(x+3).
The GCF of 0.3x and 1.5 is 0.3.
We factor this out, placing it outside parentheses.
We then divide 0.3x and -1.5 by 0.3;
giving us 0.3(1x-5).
Answer:
1) 4(x- 3)
2)
3) 0.3(x - 0.5)
Step-by-step explanation:
Given some expressions.
We have to factor the given expression completely.
Factorization is the process of writing an expression in form of lower factors so that when we multiply them we get back the original expression.
Consider 1 ) 4x - 12
Taking 4 common from each term, we get
⇒ 4x - 12 = 4(x- 3)
Consider 2 )
Taking common from each term, we get
⇒
Consider 3 ) 0.3x - 1.5
Taking 0.3 common from each term, we get
⇒ 0.3x - 1.5 = 0.3(x - 0.5)
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x=
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Answers
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
Answers
The total price including 7 percent tax on a $9.79 purchase is $10.67
What is percentage?
A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, there is a 7 percent tax on a $9.79 purchase
Therefore, total price =
7% of 9.79 + 9.79
= 0.8811 + 9.79
= 10.67
Hence, the total price including 7 percent tax on a $9.79 purchase is $10.67
Learn more about percentage, click;
#SPJ2
Answers
13.
y - the amount from the sale
x - a number of tickets
y = 5x + 40
Domain: x ∈ {0, 1, 2, 3, 4, 5}
Range = {40, 45, 50, 55, 60, 65}
15.
y - the cost of renting a law firm
x - a number of hour
y = 100x + 300
Domain: x ∈ {1, 2, 3}
Range = {400, 500, 600}
(-4,1) slope=3/5
Answers
(1,4)
(6,7)
And the point you already gave, (-4,1). Hope this helped!
Answers
4y + x + 9
can't be simplified, factored, expanded, graphed, solved, or evaluated.
So what is your question ?