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2 years ago

What are the solutions of x2 +6x-6= 10?

Mathematics

1 answer:

ipn [44]2 years ago

3 0

Answer:

x= -8 x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0 x-2=0

x= -8 x=2

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What is the factored form of x^3 + 125?

Lerok [7]

$x^3+125=x^3+5^3$

Sums of cubes can be factored as

$a^3+b^3=(a+b)(a^2+ab+b^2)$

$x^3+125=(x+5)(x^2+5x+25)$

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3 years ago

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Find derivative of y=(-3x^5+1)^3

sattari [20]

Use the chain rule:

$\frac{\mathrm dy}{\mathrm dx}=3(-3x^5+1)^2\frac{\mathrm d[-3x^5+1]}{\mathrm dx}=3(-3x^5+1)^2(-15x^4)=\boxed{-45x^4(1-3x^5)^2}$

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3 years ago

Pedro has a bag of flour that weighs 9/10 pound. he uses 2/3 of the bag to make gravy. how many pounds of flour does pedro use t

BARSIC [14]

Here is the solution of the given problem above.
First, let's analyze the question.
Given: 1 bag = 9/10 pound
2/3 bag = ? pound
What we are going to do is to divide 9/10 pound to 3.
so 9/10 divided by 3 and we get 9/30 and to simplify that, 3/10.
So per 1/3 of the bag, there is 3/10 pound.
To get the weight for 2/3 of the bag, we multiply 3/10 by 2 and we get 6/10 or to simplify it, it is 3/5. Therefore, the 2/3 bag weights 3/5 pound. Hope this answer helps.

7 0

3 years ago

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A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.

juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

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3 years ago

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El número que falta en (–15) × ____ × 8 × (–4) = –4320, es:

11Alexandr11 [23.1K]

Answer:

-9

Step-by-step explanation:

The missing number will be labeled as x.

-15*x*8*(-4)=-4320

480x=-4320

x=-9

5 0

1 year ago