When 16x^3 - 12x^2 + 4x is divided by 4x the quotient is

Answers

Answer 1

Answer: $16x^3-12x^2+4x=4x(16x^2-3x+1)\n\ntherefore\n\n(16x^3-12x^2+4x):4x=4x(4x^2-3x+1):4x=\boxed{4x^2-3x+1}$

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Two angles that can be trisected with a straightedge and compass are a 90angle and a _____ angle.A. 9
B. 75
C. 45
D. 90

Answers

The correct answer is:

C) 45.

Explanation:

An angle of measure $(2\pi)/(N)$ can be trisected if and only if N is not divisible by 3.

A 45° angle in radians is $(\pi)/(4)$ . Setting up a proportion, we can find the value of N to determine if this fits:

$(\pi)/(4)=(2\pi)/(N)$

Cross multiply:

$\pi * N = 4 * 2\pi \n N\pi = 8\pi$

This means N = 8, and is not divisible by 3; thus the 45 degree angle is trisectible.

the answer on apex is 45°

CHECK MY MATH PLEASE!? 1. When you estimate expenses for a month, you should _______.

A: add expenses for rent/mortage, utilities, food, and gas. (my answer)
B: Round all expenses down.
C: Add only the rent/mortgage and utility expenses.
D: Estimate that it will be about 20% of your net income.

2. Suppose you have a bi-weekly mortgage payment of $657. If there are typically 4 weeks in a month, what do you need to do to estimate your monthly mortgage payment?

A: Multiply it by 2, then round
B: Round it down to $650, then multiply by 2
C: Add it to other estimates just as it is
D: Multiply it by 4, then round (my answer)

3. Rent is $978. Phone charges last month were $54.89. Groceries cost about $93/week. What is a good estimate of your monthly expenses?

A: $1,126.00
B: $1,100.00
C: $1, 433.00
D: $1,400.00 (my answer)

4. Bi-weekly mortgage is $455. Monthly phone charges are $34.95. The electric bill last month was $65.88. Groceries cost about $87/week. What is a good estimate of your monthly expenses?

A: $643.00
B: $904.00 (my answer)
C: $1,098.00
D: $1,359.00

Answers

1. If I remember from class correctly, your monthly expenses should be about 20% of your net income, so the answer would be D. Although, adding up the expenses would work as well.
2. If the payment is bi-weekly, and there are 4 weeks in a month, you only have to multiply by 2, because "bi-weekly" means every 2 weeks, which means the payment would come twice a month. So, the answer would be A, Multiply by 2 and then round.
3. Round each of the numbers. 978 becomes 980, 54.89 becomes 55, and 93 becomes 90. We'll assume that there are 4 weeks in a month. Add them all up. 980+55+90+90+90+90 = 1395 So, yes, your answer of D, 1,400.00 is a good estimate.
4. Again, round each of the numbers. 455 can stay the same, 34.95 becomes 35, 65.88 can stay at 65 for the sake of easy math, and 87 gets rounded up to 90.
We'll keep assuming that there are 4 weeks in a month. Now, add them all up. Be sure to remember that the rent is bi-weekly, so it has to be added in twice. 455+455+35+65+90+90+90+90 = 1370. This means that of the choices, D, 1,359.00 is a good estimate of the monthly expenses.

Answer:

1. A its not D

2. A

3. D

4. D

100%

*★,°*:.☆(￣▽￣)/$:*.°★* 。

ark found a shirt on sale for 25% off. When he brought it to the register, he discovered that all items in the store were on sale for an additional 20% off. He wrote this expression to represent the final cost of the shirt based on the original price, p. (1−0.2)(1−0.25)p When Mark simplifies this expression, what can he conclude about the sale price of the shirt?

Answers

Answer:

The sale price of the shirt is 45% of the original price.

Step-by-step explanation:

How do I do these? can someone please help

Answers

-4/3x<12
multiply both sides by -3/4 to make it 1x (-4/3 times -3/4=-12/-12=1)
x<-36/4
x<-9

13c<-169
divide both sidse by 13
c<-13

What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

Answers

Since the sequence is geometric, there is some constant $r$ such that the sequence is recursively given by

$a_n=ra_(n-1)$

By this definition, you can recursively substitute into the right hand side the definition for $a_(n-1),a_(n-2),\ldots$ to find an explicit formula for the $n$ th term.

$a_n=ra_(n-1)=r^2a_(n-2)=r^3a_(n-3)=\cdots=r^(n-1)a_1=-625r^(n-1)$

You know the second term, which means you can find $r$ :

$a_2=-625r^(2-1)\implies125=-625r\implies r=-\frac15$

So, the 7th term of the sequence is

$a_7=-625\left(-\frac15\right)^(7-1)=-\frac1{25}$

Answer:

-0.04 is the answer

Step-by-step explanation:

A furniture maker uses the specification 21.88< or = w

Answers

Seems like your question is quite incomplete, I bet here is the missing part *<or = 22.12 for the width w in inches of a desk drawer.
According to the fact that abs(w-22) should be less than equal to 12, the answer should have a look like this : Iw - 22I < or = 0.12. I am pretty sure it will help you.
Next time check it carefully. Regards!

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