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svetlana [45]
3 years ago
14

Completely factor the polynomial.

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Step-by-step explanation:

First we will multiply 4 by 12 = 48

Then we will find the factors of 48 that when we add or subtract it the answer is 2 so

12x 2 - 6x + 8x - 4

6x ( 2x - 1) + 4 (2x - 1)

So ( 2x - 1) and (6x + 4) are the factors

Option C is the correct answer

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135 is what percent of 150?
kolbaska11 [484]

Answer:

90%

Step-by-step explanation:

Is means equals and of means multiply

135 = P * 150

Divide each side by 150

135/150 = 150P/150

.9 =P

Change this to percent form by multiplying by 100%

.9*100%

90%

3 0
3 years ago
Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many
Alex Ar [27]

Answer:

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him = 76-4y-3t

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him = 76-4\times16-3\times2 = 76 -64 -6 = 6

Also we can say that y =17 and t =2

Number of apples remaining with him = 76-4\times17-3\times2 = 76 -68 -6 = 2

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him = 76-4\times17-3t = 76 -68 -3t = 8-3t

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him = 76-4\times17-3\times2 = 76 -68 -6 = 2

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

7 0
3 years ago
cavalieri's principle states that two solids with equal height and base areas but different cross-sectional areas have equal vol
Ad libitum [116K]

Answer:

Option B False

Step-by-step explanation:

we know that

The <u>Cavalieri's principle</u> states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume

therefore

The cross-sectional area at every level must be the same

so

The statement is False

5 0
3 years ago
Read 2 more answers
Solve y^4/5=34
Svetradugi [14.3K]

Answer:

The best choice is y = 82.1

Step-by-step explanation:

Just simplify both sides of the equation, then isolate the variable.

Which makes it's exact form y= 34^5/4 and when converting it to decimal form it becomes y = 82.1

8 0
3 years ago
Read 2 more answers
15x+2y&gt;20<br> i need to change this to slope intercept form, please show steps!!
aleksandrvk [35]

Answer:

y>-15/2x+10

Step-by-step explanation:

15x+2y>20

First step: Move the 15x to the other side by subtracting on both sides. 2y>-15x+20

Second step: Divide everything by 2. y>-15/2x+10

3 0
3 years ago
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