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Trava [24]
3 years ago
5

PLEASE HELP WORTH 100 points

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

He may have miscalculated the length of Path A

Step-by-step explanation:

I really hopes this helps

Have a great day!

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st
kompoz [17]
<span>We let x be the length and y be the width of the rectangle. Then,
 
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
 
Area = xy
A = x(50 - x)
A = 50x - x^2
 
We then take the derivative; set it equal to zero:
 
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
 
Therefore, the dimensions are 25 and 25.</span>
7 0
3 years ago
Does -8x+8=0 have a solution ?
dusya [7]

Answer:

Yes it does. It is 1.

Step-by-step explanation:

Subtract 8 from both sides then divide both sides by -8 and you get 1.

5 0
3 years ago
Carina's car averages 25 miles per gallon.Will she be able to make the round trip on one tank of gas.
ser-zykov [4K]
There is not enough information to answer the question. To answer it, you need to know how much gas is in her gas tank and how far she needs to travel.
4 0
4 years ago
Student A has a probability of 0.9 of solving a problem while student B has a probability of 0.6 of solving the problem. What is
Vilka [71]

answer

0.54

explanation

since student A and student B are independent of each other, we multiply their individual probabilities to get the probability of both solving the problem

A * B

= 0.9 * 0.6

= 0.54

there is a 0.54 probability that both will solve the problem

6 0
3 years ago
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