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3 years ago

Factor x2a2 + 3xa2 + 2a2

1 answer:

5 0

I'm going to assume the equation is x^2 a^2 + 3x a^2 + 2a^2

You factor out the common term, which is a^2.
You would then get a^2(x^2+3x+2) as the answer.
Factor out (x^2+3x+2)

a^2(x+1)(x+2)

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You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest

artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0

4 years ago

My daughter needs help with homework

Inessa [10]

Matt is wrong because 5-1=4 and 5-1 1/4= 3 3/4

7 0

4 years ago

If WX=t+19 and VY=t, what is the value of t?

svet-max [94.6K]

Check the picture below.

8 0

3 years ago

Answer the question on the attachment

Nonamiya [84]

Answer:

The answer to your question is below

Step-by-step explanation:

Part A.

-3x + 7y = 13

Solve the equation for "y"

7y = 3x + 13

y = $\frac{3}{7} x + 13$

Part B.

Two lines are parallel if their slopes are the same

Two lines are perpendicular if their slope are opposite reciprocals

Slope of the first line = $\frac{3}{7}$

Slope of the second line = $\frac{3}{7}$

Conclusion: the lines are parallel because their slopes are the same.

5 0

3 years ago

Lines RS, TV in SW are shown which statements are true about these lines check all that apply

kodGreya [7K]

Answer:

Line SW has a undefined slope

Line TV has a slope of 0

Lines RS and TV are parallel

Step-by-step explanation:

Verify each statement

Part 1) Line RS has a slope of 6

The statement is false

Because, line RS is a horizontal line (is parallel to the x-axis)

The slope of line RS is equal to zero

Verify

we have

R(-8,6) and S(2,6)

Applying the formula of slope

m=(6-6)/(2+8)

m=0/10=0

Part 2) Line SW has a undefined slope

The statement is true

Because, line SW is a vertical line (is parallel to the y-axis)

The slope of a vertical line is undefined

Verify

we have

S(2,6) and W(2,-8)

Applying the formula of slope

m=(-8-6)/(2-2)

m=-14/0 -----> is undefined

Part 3) Line TV has a slope of 0

The statement is true

Because, line TV is a horizontal line (is parallel to the x-axis)

The slope of line TV is equal to zero

Verify

we have

T(-6,-4) and V(8,-4)

Applying the formula of slope

m=(-4+4)/(8+6)

m=0/14=0

Part 4) Lines RS and TV are parallel

The statement is true

Because, line RS and line TV are horizontal lines (are parallel to the x-axis)

Remember that if two lines are parallel, then their slopes are the same.

Both slopes are equal to zero

Part 5) Line SW is perpendicular to line RS but no to line TV

The statement is false

Because, Line SW is perpendicular to line RS and line TV

(A horizontal line is perpendicular to a vertical line. so it would have to be perpendicular to both RS and TV)

6 0

3 years ago

Read 2 more answers