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3 years ago

Write the expression as a product of expressions.

Mathematics

1 answer:

scoray [572]3 years ago

8 0

Answer:

$a^2(ab^{3}-b^{2}-c^{2})$

Step-by-step explanation:

Given

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Required

Factor

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Factor out $a^2$

$a^2(ab^{3}-b^{2}-c^{2})$

The expression cannot be further factored

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Multiplying by 10 , 100 , 1000 just write the answer down picture below

stepan [7]

Answer:

$1.$ $1000$

$2.$ $10$

$3.$ $10$

$4.$ $663$

$5.$ $1,000$

$6.$ $715$

$7.$ $890$

$8.$ $483$

$9.$ $748$

$10.$ $1,000$

$11.$ $682$

$12.$ $1,000$

$13.$ $127$

$14.$ $509$

$I$ $cannot$ $see$ $question$ $15.$

$16.$ $22$

Step-by-step explanation:

1. Three zeroes equal 1,000

2. One zero equal 10

3. One zero equal 10

4. Look at the value without the zeroes

5. Three zeroes equal 1,000

6. Look at the value without the zeroes

7. Since 890 has one zero, one more zero equal 10

8. Look at the value without the zeroes

9. Same as 8.

10. Three zeroes equal 1,000

11. Look at the value without the zeroes

12. Three zeroes equal 1,000

13. Same as 11.

14. Same as 13.

15. N/A

16. I am not sure about this one cause I don't know if there are more zeroes or not, but same as 13.

4 0

4 years ago

Could someone please help me? Thank you and explain the work because I don’t get this

lesya [120]

Answer:

5.59 times per second.

Step-by-step explanation:

Direct variation is in the form:

$y=kx$

Where k is the constant of variation.

Inverse variation is in the form:

$\displaystyle y=\frac{k}{x}$

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using f for frequency and l for length:

$\displaystyle f=\frac{k}{\ell}$

We can solve for the constant of variation. We know that the frequency f is 4.3 when the length is 0.65 meters long. Thus:

$\displaystyle 4.3=\frac{k}{0.65}$

Solve for k:

$k=4.3(0.65)=2.795$

So, our equation becomes:

$\displaystyle f=\frac{2.795}{\ell}$

Then when the length is 0.5 meters, the frequency will be:

$\displaystyle f=\frac{2.795}{.5}=5.59\text{ times per second.}$

5 0

3 years ago

D= V(x2 – x1)2 + (y2 – yy)2

I am Lyosha [343]

Answer:

y = 2

Step-by-step explanation: divided both from each side

3 0

4 years ago

What are the solutions to the quadratic equation 5x2 + 60x = 0?

const2013 [10]

5x^2+60x=0
x(5x+60)=0

x=0
and
5x+60=0
5x=-60
x=-12

therefore, the first option is correct

8 0

4 years ago

Read 2 more answers

Which graph represents Y as a function of X ?

inna [77]

Answer:

Which graph represents Y as a function of X ?

step-by-step explanation:

a. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph twice as steep.

b. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph half as steep.

c. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph half as steep.

d. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph twice as steep.

5 0

3 years ago