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crimeas [40]
4 years ago
13

Factoring x^2-4x-21=0

Mathematics
1 answer:
disa [49]4 years ago
8 0
Find two numbers that add to -4 and that multiply to -21.

After playing around with some numbers, I got -7 and 3.

So, the factored form is (x - 7)(x + 3).
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A lil help , What is g(h(10))?
PIT_PIT [208]

Answer:

2√2

Step-by-step explanation:

Given

g(x) = ✓(x - 4)

h(x) = 2x - 8

Now

g(h(10))

= g ( 2 * 10 - 8)

= g(20-8)

= g(12)

=✓(12 - 4)

= ✓8

=2√2

Hope it will help ✓

6 0
3 years ago
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
MariettaO [177]

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

<h3>How to get the area of the cover?</h3>

Remember that the area of a circle of radius R is given by the formula:

A = pi*R^2

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

A = 3.14*(11ft)^2 = 379.94 ft^2

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

C = 2*pi*R

Then the length of the rope will be:

C = 2*3.14*11ft = 68.2ft

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
Stephanie is making beef for a party the recipe uses 1 1/2 teaspoons of pepper, 3 2/4 teaspoons of garlic powder 1/8 teaspoons o
Arisa [49]

<u><em>Answer:</em></u>

<u>She will use:</u>

3 tablespoons of pepper

7 tablespoons of garlic powder

\frac{1}{4} tablespoon of thyme

8 tablespoons of onion powder

<u><em>Explanation:</em></u>

To double the amount, Stephanie will need to double the amount of each ingredient used. This means that she will multiply each amount by 2

<u>Therefore:</u>

New amount of any ingredient = old amount of that ingredient x 2

<u>This means that:</u>

New amount of pepper = 1\frac{1}{2}*2= 3 tablespoons

New amount of garlic powder = 3\frac{2}{4}*2=7 tablespoons

New amount of thyme = \frac{1}{8}*2=\frac{1}{4} tablespoons

New amount of onion powder = 4*2=8 tablespoons

Hope this helps :)

8 0
3 years ago
Solve equation: 4*4^x-6^x=18*3^2x​
Tamiku [17]

Answer: x-2/x(x-1)

Step-by-step explanation:

What grade are you in this is college stuff.

6 0
3 years ago
Determine the ratio of the geometric sequence: 1/10, -1/2, 5/2,...
zalisa [80]

Answer: third option.

Step-by-step explanation:

By definition we know tht the geometric sequences has a common ratio, which is represented with <em>r.</em>

<em> </em>This ratio can be calculated by dividing a term by the previous term.

Therefore, keeping the information above on mind, you have that the ratio <em>r</em>  of the geometric sequence given in the problem, is the shown below:

r=\frac{-\frac{1}{2}}{\frac{1}{10}}\\\\r=-5

5 0
4 years ago
Read 2 more answers
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