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3 years ago

What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

7 0

Answer:

Step-by-step explanation:

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Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

yan [13]

Answer:

$g(h(10)) = 2\sqrt 2$

Step-by-step explanation:

Given

$g(x) = \sqrt {x - 4$

$h(x) = 2x - 8$

Required

$g(h(10))$

First, calculate $g(h(x))$

We have:

$g(x) = \sqrt {x - 4$

This gives:

$g(h(x)) = \sqrt {h(x) - 4$

Substitute $h(x) = 2x - 8$

$g(h(x)) = \sqrt {2x - 8 - 4$

$g(h(x)) = \sqrt {2x - 12$

Substitute $x = 10$

$g(h(10)) = \sqrt {2*10 - 12$

$g(h(10)) = \sqrt {20 - 12$

$g(h(10)) = \sqrt {8\\$

Split

$g(h(10)) = \sqrt {4} * \sqrt 2$

This gives

$g(h(10)) = 2\sqrt 2$

8 0

3 years ago

Read 2 more answers

What is the slope of the line that contains the point (-2, 3) and (1,9)

erma4kov [3.2K]

The slope is:(9-3)/(1-(-2))=6/3=2

7 0

3 years ago

Stephanie has a total of 27 nickels and dimes. The total value of the coins is $1.95. Which system of equations can be used to f

Genrish500 [490]

The correct equation to use is A. n+d=27 0.05n+0.10d=1.95

5 0

3 years ago

I really need help with this one

Novay_Z [31]

Answer:

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

=(15+4)*2

=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

3 0

3 years ago

The quotient of five times a number and 7 is no more than 10

forsale [732]

5n/7≤10 is the correct answer.

3 0

3 years ago