MATHEMATICS HIGH SCHOOL

Use long division to find the quotient below. (6x^3 - 29x^2 + 32x-14) ÷(2x-7)

Answers

Answer 1

Answer:

3x^2-4x+2

Step-by-step explanation:

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To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost ?
A student uses the substitution method to solve the system of equations below algebraically.2x - y = 5 3x + 2y = -3 Which equivalent equation could be used?

What is the nth term in the sequence:
4, 7, 12, 19, 28
Please show working out

Answers

4, 7, 12, 19, 28
1st difference +3 +5 +7 +9
2nd difference +2 +2 +2

This is a geometric sequence

The form is:
an² + bn + c
2a is always = to the second difference
2a = 2
a = 1

3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0

a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3

nth term of sequence {substitute all we have found}
1n² + 0 + 3
n² + 3

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Answers

A triangles three angles always sum up to 180 degrees. We must find angle B.

We already have angle A and C, so it's quite simple.

Angle A is 28*, and angle C is 36*

We add these two together

28 + 36 = 64

Now we subtract

180 - 64 = 116

Angle B = 116*

Hope this helps you! (:

-Hamilton1757

A bookstore manager marks down the price if older hardcover books, which originally sell for b dollars, by 46%a. Write the mark down as a decimal
b. Write two expressions for the sale price of the hardcover book
c. What is the price of a hardcover book for which the original retail price was $29.00
d. If you buy the book in part c how much do you save by paying the sale price?

Answers

Answer:

a) 46% reduction = 1-(46/100)= 0.54

b) 46% reduction = 1-(46/100)= 0.54

price after reduction: b*0.54 =0.54b

or b-(b*46)/100 = b-(46b/100)= (100b-46b)/100 = 54b/100

c) 29*0.54=$15.66

gold 29-(54*29)/100 = $15.66

d) $29-$15.66=$13.34

Step-by-step explanation:

Which shows you how to plot (6,3) on a coordinate plane?A. Start at the origin, move 3 spaces right, and 3 spaces up.
B. Start at the origin, move 3 spaces right, and 6 spaces up.
C. Start at the origin, move 6 spaces right, and 6 spaces up.
D. Start at the origin, move 6 spaces right, and 3 spaces up.

Answers

We start with the 'x' value, which is 6.

Since it's positive we go to the right 6 times(negative will be to the left).

Now the 'y' value, 3.

Since it's positive we go 3 spaces up(negative will be down).

Therefore, our answer is D.

$Origin=>(0,0) \n \n ==>Move\:6\:spaces\:right=(6,0) \n ==>Move\:3\:spaces\:up=(6,3) \n \nThe \:correct \:answer\: is :d \n \n\framebox[1.1\width]{Godspeed!} \par$

Name a number that is a rational number, but not an integer.
Justify your response.

Answers

3.1416 is a rational number.

It can be written as 31,416 / 10,000 .

Since you can write it as a fraction with whole numbers, it's rational.
That's actually the definition of a rational number.

==> ANY number that you can write down completely
using digits is a rational number !

2.5 because rational numbers can be written as fractions, but integers written as fractions have to be able to be written over 1. For example 3 is an integer because 3 = 3/1. But 2.5 isn't an integer because 2.5 = 5/2.

There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in a cage?