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1 year ago

Factor this: 18x^2+39x-15

Mathematics

2 answers:

taurus [48]1 year ago

6 0

Steps for Factoring:

1) Find CM (common factor) for the expression: 3

Factor out 3 =>

$3(6x^{2}+13x-5)$

2)Factor the above expression by grouping:

The expression needs to be written as $6x^{2} + ax+ bx -5$

a and b should add up to 13 and multiply up to -30 (6 × -5)

By Guess & Check we find that the pair is a = -2 and b = 15 (-2+15; -2 × 15)

3) Now we can rewrite $(6x^{2}+13x-5)$ as $(6x^{2} -2x)+(15x-5)\\$

Factor out 2x in the first group and 5 in the second group:

$2x(3x-1)+5(3x-1)\\$

As 3x-1 is on both sides, now we can do the operation: 2x+5 (distributive property)

(3x-1) (2x+5)

The answer is 3(3x-1) (2x+5)

<em>Hope it helps!</em>

frosja888 [35]1 year ago

4 0

Answer is:
3(2x+5)*(3x-1)

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3 years ago

PLSS HELP!! VERY EASY.

gogolik [260]

Answer:

35 ways

Step-by-step explanation:

Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.

Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.

So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways

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3 years ago

How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.

jasenka [17]

<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

8 0

3 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

Talja [164]

Answer:

cost of ribeye steak dinners = $10.36

cost of grilled salmon= $11.581

Step-by-step explanation:

Let the cost of one steak dinners be x

Let the cost of one grilled salmon be y

One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as

12(x)+39(y)= $575.53-------------------------------------(1)

On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as

25(x)+ 13(y)= $582.43-------------------------------------(2)

solving the equation (1) and (2)

eq(1) x 1 $12x+39y= 575.53$

eq(2) x 3 $125x+ 39y= 1747.29$ -------------------------(3)

Subtracting these equation we get,

$113x=1171.76$

$x=\frac{1171.76}{113}$

x= 10.36

Now substituting this in equation (1)

$12(10.36)+39(y)= $575.53$

$123.84+39y=575.53$

$39y=575.53 - 123.84$

$y=\frac{451.69}{39}$

y=11.581

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3 years ago