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1 year ago

Use Synthetic Division to divide (3x3 + x2 – 4) by (x + 2).

Mathematics

1 answer:

Kitty [74]1 year ago

4 0

X - 2 + 9 OVER x + 2.
in other words x - 2 + 9 /x + 2

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Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18

posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

--------

Find the slope of the line through these two points

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

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

--------

Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer: m = -40s+2700</h3>

============================================

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>

7 0

2 years ago

Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?

ZanzabumX [31]

The discount is $7, and Mrs.Hill only has to pay $28.

8 0

2 years ago

Read 2 more answers

Stiviko's approved work plan included 4 technicians to create 200 web pages

jenyasd209 [6]

Answer:

10 pages per technician per day is the unit metric for the production work.

Step-by-step explanation:

Consider the provided information.

Stiviko's approved work plan included 4 technicians to create 200 web pages over 5 days.

They can create 200 web pages over 5 days.

$\frac{200}{5}=40$

That means in one day they can create 40 pages.

There are 4 technicians who work, therefore the unit metric for the production work is: $\frac{40}{4}=10$

Hence, 10 pages per technician per day is the unit metric for the production work.

6 0

2 years ago

Solve 2x+2>10<br><br> A. x < 4<br> B. x > 4<br> C. x > 6<br> D. x < 6

ikadub [295]

Answer:

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

7 0

2 years ago

PLS HELP ASAP URGENT!!!

tresset_1 [31]

Answer:

Step-by-step explanation:

4cm

6 0

2 years ago