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Softa [21]
2 years ago
14

Factor completely.

Mathematics
2 answers:
Tomtit [17]2 years ago
5 0

Answer:

B

Step-by-step explanation:

y² - 12y + 32

consider the product of  factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

the factors are - 4 and - 8 , since

- 4 × - 8 = + 32 and - 4 - 8 = - 12 , then

y² - 12y + 32 = (y - 4)(y - 8)

inna [77]2 years ago
5 0

Answer:

B. (y-4)(y-8)

Step-by-step explanation:

Given equation: y² - 12y + 32. Essentially, we are going to find two numbers that multiply to 32 and add up to -12.

1) Pull out the factors of 32 and find the pair that multiply to 32 and add up -12.

They are: -8 and -4.

2) Rewrite the b of the original quadratic equation as a sum, then factorise by grouping.

y² - 8y - 4y +32

y(y - 8) - 4(y - 8)

(y - 4)(y -8)

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A "B" grade on a test is 85%. How many questions can you miss on a 35-question exam and get a<br> B.
vekshin1

Answer:

5

Step-by-step explanation:

If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.

hope this helped!

4 0
3 years ago
Read 2 more answers
Mary has a collection of nickels and quarters for a total of $4.90. If she has 42 coins in total, how many of each kind are ther
damaskus [11]

Answer:

14 quarters and 28 nickels

Step-by-step explanation:

System of Equations where x = number of quarters and y = number of nickels

(1) equation with value of each coin

    0.25(x)+0.05(y) = 4.90

(2) total number of coins

    x + y = 42

Solve system of equations using either substitution or elimination

(elimination multiplying equation 2 by -0.5)

.25(x) + 0.05(y) = 4.90

-0.05(x) - 0.05(y) = 42 * (-0.05)

(3) Resulting equation

.20(x) = 2.8

x = 14

plug x into equation 2

14 + y = 42

y = 28

There are 14 quarters and 28 nickels in Mary's collection.

5 0
3 years ago
Solve for x: |2x + 12| =
igor_vitrenko [27]
Dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
6 0
3 years ago
Read 2 more answers
4 Points
Vladimir [108]

Answer:

35

Step-by-step explanation:

One is given the following function (y=3x+5). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

y=3x+5

y=3(10)+5

y=30+5

y=35

4 0
3 years ago
Cole's rectangular garden has an area of 54 square feet. What could be the dimensions of the garden??
Inessa [10]
54 times 4 equals 216
6 0
3 years ago
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