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2 years ago

How do I do GCF (greatest common factor on -5y - 35? I need help because I am not good at it.

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

6 0

Answer:

-5(y+7)

Step-by-step explanation:

Well, the numbers you can divide 5 with are 1 and 5.

35 divides both with 1 and 5 too, but since 5 is the greatest, you choose 5.

so,

you divide both with -5, since both are negative.

-5y/-5 = y

-35/-5 = 7

so,

-5(y+7)

check:

-5*y = -5y

-5*7 = -35

so,

-5y-35, that's true.

ioda2 years ago

6 0

Answer:

GCF = 5

Step-by-step explanation:

for the values 5, 35

Solution by Factorization:

The factors of 5 are: 1, 5

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5.

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If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger

MaRussiya [10]

Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8 -----------(I)

3y = 4x ---------------(II)

3y/4 = x

Plug in x = 3y/4 in equation (I)

$y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\$

y = 8*4

y = 32

Plug in y = 32 in equation (II)

3y = 4x

3*32 = 4x

4x = 3*32

x = $\frac{3*32}{4}$

x = 3 *8

x = 24

7 0

3 years ago

Here is the histogram of a data distribution. All class widths are 1.

JulsSmile [24]

Median is 6 so your answer is C

8 0

3 years ago

A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime

yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

$b^2*h=49$

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

$A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}$

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

$\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft$

The value of h is then:

$h=\frac{49}{4.61^2}\\h=2.31\ ft$

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

7 0

3 years ago

Convert to standard form. Show all work.<br><br> y=(x+3)2 − 2

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5 0

3 years ago

What’s the equivalent expression

r-ruslan [8.4K]

Answer:

9 (2 a - 3)^2

Step-by-step explanation:

Simplify the following:

(6 a - 9)^2

Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.

Factor 3 out of 6 a - 9:

(3 (2 a - 3))^2

Hint: | Distribute exponents over products in (3 (2 a - 3))^2.

Multiply each exponent in 3 (2 a - 3) by 2:

3^2 (2 a - 3)^2

Hint: | Evaluate 3^2.

3^2 = 9:

Answer: 9 (2 a - 3)^2

4 0

3 years ago