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MrRissso [65]
3 years ago
14

Simplify the expression. 7 √x • 7 √x • 7 √x

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
Answer:

√7x−49√x

Explanation:

First of all, expand by multiplying √7x⋅√x and √7x⋅7√7respectively:

√7x(√x−7√7)=√7x⋅√x−√7x⋅7√7

... you can express √7x as √7⋅√x...

=√7⋅√x⋅√x−√7⋅√x⋅7⋅√7

=√7⋅(√x)2−(√7)2⋅√x⋅7

... the operations squaring and taking the square root "eliminate each other"...

=√7⋅x−7⋅√x⋅7

=√7x−49√x

Hope that this helped!

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Use trigonometry to solve for x. Round to the nearest tenth.
mel-nik [20]

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

5 0
3 years ago
Question 1 (1 point)<br> Which equation can be represented by a graph with a vertex at (1,3)?
madam [21]

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

f(x) = a {(x - h)}^{2}  + k

Then (h,k) is the vertex, and 'a' is a constant.

For instance

f(x) = 5 {(x - 1)}^{2}  + 3

has vertex at (2,3).

Also, an absolute function in the form

g(x) = a  |x - h|  + k

has vertex at (h,k).

This means

g(x) =   |x - 1|  + 3

also has vertex at (1,3).

I hope this explanation is helpful.

4 0
3 years ago
52,680,000,000,000 in scientific notation
Vedmedyk [2.9K]
5.268 • 10 to the power of 13

( the decimal point would have to move 14 times to the left)
6 0
3 years ago
Ted earned $4,300 from his summer internship that he plans to invest so that he can buy a used car after three years. Ted choose
olganol [36]

Answer: Yes he will be

Step-by-step explanation:

To find out if Ted can afford the car, find the future value of $4,300 in three years.

First convert the number of years and rates to quarterly values as this is the compounding period:

Term = 3 * 4 quarters = 12 quarters

Rate = 5.5% / 4 = 1.375% per quarter

Future value = Amount * ( 1 + rate) ^ term

= 4,300 * ( 1 + 1.375%)¹²

= $5,065.69

<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>

8 0
3 years ago
What's the chance of NOT rolling a seven using a pair of dice.
Gemiola [76]

Answer:

5/6

Step-by-step explanation:

total possible = 36

Favorable = 6

1 6

6 1

2 4

4 2

3 4

4 3

Part/whole

6/36

= 1/6

NOT = 5/6

7 0
3 years ago
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