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2 years ago

The length of a rectangle is three times the width. A new

Mathematics

1 answer:

kkurt [141]2 years ago

3 0

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Prove that 3(x+1)(x+7)-(2x+5)² is never positive

scZoUnD [109]

Step-by-step explanation:

3(x + 1)(x + 7) − (2x + 5)²

3(x² + 8x + 7) − (4x² + 20x + 25)

3x² + 24x + 21 − 4x² − 20x − 25

-x² + 4x − 4

-(x² − 4x + 4)

-(x − 2)²

A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.

3 0

2 years ago

Read 2 more answers

George is building a fence. He builds his fence at a constant rate of 1/3 section of fence every 1/2 hour. At this rate, what fr

GarryVolchara [31]

Answer: George can make 2/3 section of fence an hour.

Explanation: If george can make 1/3 section every half hour than he can make double 1/3 every hour.

1/3 + 1/3 = 2/3

He can make 2/3 every hour.

8 0

2 years ago

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

2 years ago

Model the number 5.55 on the place value chart

Nady [450]

Answer:

Here's what I get

Step-by-step explanation:

Each digit in a number has a place value, based on its distance from the decimal point.

The value of a digit is the digit multiplied by its place value.

The place value of a digit increases by a factor of 10 as we move left on the place value chart and decreases by a factor of 10 as we move right.

Numbers to the left of the decimal point increase in the order: ones, tens, hundreds, thousands, etc.

Numbers to the right of the decimal point decrease in the order: tenths, hundredths, thousandths, etc.

So, we put the digits of 5.55 on the chart according to their place value.

6 0

2 years ago

How to create an equation for a circle

adoni [48]

°360

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5 0

3 years ago