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andrezito [222]
3 years ago
11

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x m

iles on a flat road, (x2 + 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
3x2 _ 4

3x2 + 10

x2 + 2x - 4

x2 + 2x + 10


I suck at word problems
Mathematics
2 answers:
andrew11 [14]3 years ago
6 0

Answer:

The third option, x^2 + 2x - 4

Step-by-step explanation:

total distance = flat road, downhill, and uphill

total distance = x + (x^2 + 3) + (x -7) = x + x^2 + 3 + x - 7 = x^2 + 2x - 4

plz mark me as brainliest :)

Reika [66]3 years ago
5 0
Total distance = flat road + downhill + uphill

Total distance = x + (x^2 + 3) + (x -7) = x + x^2 + 3 + x - 7 = x^2 + 2x - 4

Answer: the third option, x^2 + 2x - 4
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Jesse dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
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Answer:

the exact answer is 65.97


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4 years ago
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Please Help!
Nostrana [21]
Cos N = 36/39 = 12/13

3 0
3 years ago
I NEED IMMEDIATE HELP!!!!
DerKrebs [107]
<h2>Hello!</h2>

The answers are:

C) (3+xz)(-3+xz)

D) (y^2-xy)(y^2+xy)

F) (64y^2+x^2)(-x^2+64y^2)

<h2>Why?</h2>

To know which of the products results in a difference of square, we need to remember the difference of squares from:

The difference of squares form is:

(a+b)(a-b)=a^{2}-b^{2}

So, discarding each of the given options in order to find which products result in a difference of squares, we have:

<h2>A)</h2>

(x-y)(y-x)=xy-x^{2}-y^{2} +yx=-x^{2} -y^{2}

So, the obtained expression is not a difference of squares.

<h2>B)</h2>

(6-y)(6-y)=36-6y-6y+y^{2}=y^{2}-12y+36

So, the obtained expression is not a difference of squares.

<h2>C)</h2>

(3+xz)(-3+xz) =(xz+3)(xz-3)=(xz)^{2}-3xz+3xz-(3)^{2}\\\\(xz)^{2}-3xz+3xz-(3)^{2}=(xz)^{2}-(3)^{2}

So, the obtained expression is a difference of squares since it matches with the form of the difference of squares.

<h2>D)</h2>

(y^2-xy)(y^2+xy)=(y^{2})^{2}+y^{2}*xy-y^{2}*xy-(xy)^{2} \\\\(y^{2})^{2}+y^{2}*xy-y^{2}*xy-(xy)^{2}=(y^{2})^{2}-(xy)^{2}

So, the obtained expression is a difference of squares since it matches with the form of the difference of squares.

<h2>E)</h2>

(25x-7y)(-7y+25x)=-175xy+(25x)^{2}+49y^{2}-175xy\\\\-175xy+(25x)^{2}+49y^{2}-175xy=(25x)^{2}+49y^{2}-350xy

So, the obtained expression is not a difference of squares

<h2>F)</h2>

(64y^2+x^2)(-x^2+64y^2)=(64y^2+x^2)(64y^2-x^2)\\\\(64y^2+x^2)(64y^2-x^2)=(64y^{2})^{2} -(x^{2}*64y^{2})+(x^{2}*64y^{2})-(x^{2})^{2}\\ \\(64y^{2})^{2} -(x^{2}*64y^{2})+(x^{2}*64y^{2})-(x^{2})^{2}=(64y^{2})^{2}-(x^{2})^{2}

So, the obtained expression is a difference of squares since it matches with the form of the difference of squares.

Hence, the products that result in a difference of squares are:

C) (3+xz)(-3+xz)

D) (y^2-xy)(y^2+xy)

F) (64y^2+x^2)(-x^2+64y^2)

Have a nice day!

5 0
4 years ago
The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest
zubka84 [21]
Answer: See each part below.

Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.

Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.

Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x 
20 = x

The domain will go up to 20 hours.
3 0
4 years ago
Bronson is an action and horror movie junkie. He started a movie review vlog and needs to keep up with his movie viewing at a hi
andreev551 [17]

two equations which can model this situation is :  y=2x  and  x+y=1250  

<u>Step-by-step explanation:</u>

Here we have , Bronson is an action and horror movie junkie. He started a movie review vlog and needs to keep up with his movie viewing at a high pace. It has been a total of 50 weeks since he has stated his vlog and he has watched 1250 movies. He has watched twice as many horror movies a action movies. We need to Write two equations that can model this situation.​ Let's find out:

Let Bronson watched x action movies and y horror movies , than according to question horror movies he watched is twice that of action movies i.e.

⇒ y=2x       ........(1)

Now ,  he has watched 1250 movies i.e.

⇒ x+y=1250            .......(2)

⇒ x+2x=1250

⇒ 3x=1250

Therefore , two equations which can model this situation is :  y=2x  and  x+y=1250  .

3 0
4 years ago
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