MATHEMATICS HIGH SCHOOL

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?A=–n2 + 3n + 5
B=n2 + 6n + 1
C=2n2 + 6n – 1
D=3n2 + 5

Answers

Answer 1

Answer:

Answer:

$AB-C=n^(2) +6n +1$

Step-by-step explanation:

Given :

$A = n$

$B=2n+6$

$C=n^(2) -1$

To Find: AB-C

Solution:

Since A=n

B=2n+6

So, $AB=2n^(2) +6n$

Now since $C=n^(2) -1$

Thus $AB-C=2n^(2) +6n-(n^(2) -1)$

⇒ $AB-C=2n^(2) +6n-n^(2) +1$

⇒ $AB-C=n^(2) +6n +1$

Thus option B is correct .

Answer 2

Answer: If you would like to find AB - C in simplest form, you can do this using the following steps:

A = n
B = 2n + 6
C = n^2 - 1

AB - C = n * (2n + 6) - (n^2 - 1) = 2n^2 + 6n - n^2 + 1 = n^2 + 6n + 1

The correct result would be B=n2 + 6n + 1.

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║║║║The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5x = 300. What are the measures of the width and the length?║║║

Answers

so given l = x+5 and w = x

area represented by equation x^2 +5x = 300

x^2 +5x -300 =0

(x+20)(x-15)=0

x+20 =0
x = -20

x-15=0
x=15

so from these result the width of rectangle equal 15 inches and the length of rectangle equal 20 inches

adam use the three fractions to make a circle graph and colored each a different color.What fraction of the graph is not colored ? the three fractions are 3/12 1/6 1/3

Answers

3/12+2/12+4/12= 9/12 12/12-9/12= 3/12 So 1/4 of the graph is not colored

Please help with this, 20p

Answers

Answer:

about 325

Step-by-step explanation:

On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.

If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.

A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.

I think about 325

Because 198+115+154+160+132=759
9+5+7+8+6=35
759/35 is about 21.7

So it’s 21.7*15 is about 325 or 326

the length of a rectangle is 3 times its width. the rectangle's width is 4 m. what is area of the rectangle?

Answers

when width is 4 and length is 3 times greater than it so length is 12m now, area=length x breadth =12mx 4m =48m²

Step-by-step explanation:

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between heigh h of the candle and time t. Predict how tall the candle will be after 8 hours.

Answers

Let

x------> the time in hours

y------> the height in inches

$A(3,17)\nB(5,15)$

Step $1$

Find the slope m of the linear equation between points A and B

we know that

The formula to calculate the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitutes the values

$m=((15-17))/((5-3))$

$m=((-2))/((2))$

$m=-1$

Step $2$

Find the equation of the line

we know that

the equation of the line in the point-slope form is

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

we have

$m=-1$

$A(3,17)$

substitute in the equation

$y-17=-1*(x-3)$

$y=-x+20$ --------> this is the linear equation that model the relationship between height h of the candle and time t

Step $3$

Find the height for $x=8$ hours

substitute the value of x in the linear equation

$y=-8+20$

$y=12\ inches$

The height of the candle will be $12\ inches$ after $8\ hours$

For the linear equation you have two points (3, 17) and (5, 15) so the equation is: h-17=(15-17)/(5-3)*(t-3), solve for h= -t+20.
For predicting, only replace t=8 into you equation (h= -t+20) and you will get h=-8+20=12

What is the slope of the line in the graph?