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LuckyWell [14K]
3 years ago
8

What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

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

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

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What is the factorization of 3x2 – 8x + 5?
ELEN [110]

we have

3x^{2} -8x+5

Equate the expression to zero to find the roots

3x^{2} -8x+5=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

3x^{2} -8x=-5

Factor the leading coefficient

3(x^{2} -(8x/3))=-5

Complete the square. Remember to balance the equation by adding the same constants to each side.

3(x^{2} -(8x/3)+(16/9))=-5+(16/3)

3(x^{2} -(8x/3)+(16/9))=(1/3)

Rewrite as perfect squares

3(x-(4x/3))^{2}=(1/3)

(x-(4x/3))^{2}=(1/9)

square roots both sides

(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}

x=\frac{4}{3}(+/-) \frac{1}{3}

the roots are

x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}

x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1

so

3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)

therefore

<u>the answer is the option</u>

(3x-5)(x-1)

6 0
3 years ago
Read 2 more answers
Use elimination to solve the system of equations.<br><br><br> –8x – 12y = 104<br> 10x + 12y = –124
swat32

Answer:

x = 10

Step-by-step explanation:

7 0
2 years ago
Which of the following is a third root of the given complex number? 27(cos(pi/5)+isin(pi/5))
Digiron [165]
<span>The third root of the given complex number 27(cos(pi/5)+isin(pi/5)) is <span>3(cos(pi/15)+i sin(pi/15)) 

</span>The solution would be like this for this specific problem:</span>   <span>2^5 = 32 so you need a 2 out front the 5th root of cos(x) + i sin(x) is cos(x/5) + i sin(x/5). Additionally, 5 roots are located at even intervals around the circle. They are spaced every 2 pi/5 or 6 pi/15 radians. </span>   <span>Roots are located at pi/15, pi/15+ 10pi/15 = 11 pi/15 and pi/15+ 20pi/15 = 21 pi/15 (or 7 pi /5 ).</span>
5 0
3 years ago
Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to t
aleksklad [387]

Answer:

14 = 8 + 2d

Step-by-step explanation:

Odometer is a device that is equipped in the vehicles to count the distance traveled by the vehicle.

It has been given in the question that,

Distance between beach and her friend's house = d miles.

Distance between Brenna's house and her friend's house = 8 miles

Total distance traveled by Brenna = 14 miles.

Starting from the Brenna's house, we will add each distance traveled till the end of her journey and will make it equal to the 14 miles.

So,

Total distance = Distance between Brenna's house and her friend's house + Distance between her friend's house and beach + Distance between beach and her friend's house

Thus, we can now put the values as,

14 = 8 + d + d

We will get the final equation as

14 = 8 + 2d

4 0
3 years ago
Read 2 more answers
Help! I need a=? And r=?% if I don't get my grade up I can't star drivers ed
lubasha [3.4K]
Initial is 12
Percent 1.05(I think but you might have to convert it)
Y=12(1.05)(5)
Y=63
7 0
3 years ago
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