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3 years ago

What x2-21x-100 in standard form

Mathematics

1 answer:

NARA [144]3 years ago

4 0

Answer:

(x -25)(x+4)

Step-by-step explanation:

x²-21x -100

x²-25x+4x-100

x(x-25)+4(x-25)

(x+4)(x-25).

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Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

3 years ago

I am not sure how sigma notation works, can somebody explain how to solve this? It isn't the second choice.

Masja [62]

Answer:

first answer is correct

Step-by-step explanation:

Hello, we want to write 2 + 4 + 6 + ... + 20

for n = 1, 2n = 2*1 =2

for n = 2, 2n = 2*2=4

for n = 3, 2n=2*3=6

etc

$\displaystyle \sum_{n=1}^{10} {2n} = 2*1 + 2*2 +2*3+2*4+...+2*10=2+4+6+8+...+20$

thanks

6 0

3 years ago

Can someone help me!?!?

amm1812

It's the first step.4x-x-2+6=6x+16 ##substract 2 rather an add 2

Check it carefully next time.!!

5 0

3 years ago

To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours

8090 [49]

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour x=hours y=total cost

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

6 0

3 years ago

Pete and Teegan each put the same amount of money in a new bank account. Teegan's account earns 2.75% simple interest, and she e

ss7ja [257]

Answer:

Step-by-step explanation:

Let us assume that Pete and Teegan each put an amount of $P in a new bank account.

Teegan's account earns 2.75% simple interest and she earned $2.20 in interest after one year.

P = $80

Now, this $80 in Pete's account earns 5% simple interest.

Then after one year Pete will earn as interest 80x5/100 = 4 Dollars.

Therefore your answer is $4.

3 0

3 years ago