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NARA [144]
3 years ago
14

Compare the decimals 9,135.40 and 9,135.4. Which comparison is correct? A. 9,135.40 < 9,135.4 B. 9,135.40 > 9,135.4 C. 9,1

35.40 = 9,135.4
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0
C. 9,135.40 = 9,135.4
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HELP. Multiply the polynomials and simplify the answer. Show your work.
Aliun [14]

Answer:

Part 1)

=12a^5-6a^4-5a^3-24a^2+12a-7

Part 2)

(2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7

Step-by-step explanation:

Part 1)

We would like to multiply:

(3a^3-2a-7)(4a^2-2a+1)

Distribute each term from the first group into the second group. So:

=3a^3(4a^2-2a+1)-2a(4a^2-2a+1)-7(4a^2-2a+1)

Distribute further:

=(12a^5-6a^4+3a^3)+(-8a^3+4a^2-2a)+(-28a^2+14a-7)

Combine like terms:

=(12a^5)+(-6a^4)+(3a^3-8a^3)+(-28a^2+4a^2)+(-2a+14a)+(-7)

Simplify:

=12a^5-6a^4-5a^3-24a^2+12a-7

Part 2)

We would like to divide:

(2x^3-10x^2+5x+14)\div(x-2)

Using long division.

Please refer to the attached document.

For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².

Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.

Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.

Therefore:

(2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7

7 0
3 years ago
Write a variable expression for this amount a number x decreased by 6
ANEK [815]
I'm not exactly sure what you're asking but <em />I'll give it a go. 
A = x -6
6 0
3 years ago
Read 2 more answers
DOES ANYONE KNOW THE ANSWER???
Greeley [361]
First one is the answer
7 0
3 years ago
PLEASE HELP!!!!!
ANEK [815]

Answer:

2/3 because the angles are complementary

Step-by-step explanation:

No matter what the measure of the angle is cos(x) will always equal sin(90-x).

6 0
3 years ago
Read 2 more answers
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0
3 years ago
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