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Nutka1998 [239]
3 years ago
5

Derrick made a goal for 2 points during the basketball game. The path of the balls height in feet can be modeled by y= -x^2 - 2x

+ 24. Determine the height
Mathematics
1 answer:
anastassius [24]3 years ago
3 0
First let's get the vertex of the function

( \frac{-b}{2a},f( \frac{-b}{2a}))

(-1,25) is the vertex

so the maximum height is 25 feet 
<span />
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Points (0,6) and (-4,y) lie on the line with a slope of 5
Anna [14]

For this case we have that by definition, the slope of the line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

According to the statement we have:

(x_ {1}, y_ {1}) :( 0,6)\\(x_ {2}, y_ {2}): (- 4, y_{2})\\m = 5

Substituting the values:

5 = \frac {y_ {2} -6} {- 4-0}\\5 = \frac {y_ {2} -6} {- 4}\\5 * -4 = y_ {2} -6\\-20 = y_ {2} -6\\-20 + 6 = y_ {2}\\y_ {2} = - 14

Thus, the value of y_ {2} = - 14

Answer:

y_ {2} = - 14

6 0
3 years ago
A student's tuition was $5530. A loan was obtained for 4/7 of the tuition. How much was the loan?
Sophie [7]
Multiply the two numbers to find the amount of the loan.

5530/1* 4/7= 22120/7= 3160

Final answer: $3,160
5 0
3 years ago
Susie and Amelia solved the same equation using two separate methods. Their work is shown in the table below:
kvv77 [185]
<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:

Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6 
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x 
-2x = -4 -8 = 2x
x = 2 -4 = x

Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.

Aaron made the error when he subtracted 3x.

Stephen made the error when he added 2.

Stephen made the error when he subtracted 5x.

answer:

</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.
5 0
3 years ago
Question 3<br> What is 82 + 152?
monitta

Answer:

234

Step-by-step explanation:

152

+

82

-------

234

7 0
4 years ago
Read 2 more answers
Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1057 ​adults, 89% said that they have a cell phone. F
grigory [225]

Answer:

suma todos los decimales

Step-by-step explanation:

empieza sumando 1059-94%eso te da 993,58 luego le sumas 89% lo que te da 884,2862 espero haberte ayudado

5 0
2 years ago
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