MATHEMATICS HIGH SCHOOL

if the equation is h= -2x^2 + 12x -10

how do I find the max height?

Answers

Answer 1
Answer: One other way to solve this question is finding the derivative

h=-2x^2+12x-10

h'=-4x+12

now we have to find when this function will be zero

-4x+12=0

\boxed{\boxed{x=3}}

now we just replace this value at our initial function

h=-2x^2+12x-10

h_(max)=-2*(3)^2+12*3-10

h_(max)=-18+36-10

\boxed{\boxed{h_(max)=8}}
Answer 2
Answer: The maximum height is the ordinate value of the vertex of the parabola, ie: yV

Calculating yV:

y_V=(-\Delta)/(4a)\n \n y_V=-[(12^2-4*(-2)*(-10)])/(4*(-2))=(-(144-80))/(-8)=(-64)/(-8)=8

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What is the square root of 16

Answers

the square root of 16 is 4 you do 4x4=16

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+3x-5=5

Answers

If you would like to solve the equation x^2 + 3 * x - 5 = 5, you can calculate this using the following steps:

x^2 + 3 * x - 5 = 5
x^2 + 3 * x - 5 - 5 = 0
x^2 + 3 * x - 10 = 0
(x + 5) * (x - 2) = 0
1. x = - 5
2. x = 2

The correct result would be x = - 5, or x = 2.

Which of the following sets represents M∪N?{2, 5, 8}
{4, 7}
{3, 4, 6, 7, 9}
{3, 6, 9}

Answers

Answer : {3, 4, 6, 7, 9}

To find the set that represents M∪N, we take union of M  and N

For union of M and N, we consider all the numbers inside the circles M and N.

WE have 9 and 3 inside M. Also we have 6 inside N. 4 and 7 are in the intersection of M and N. So we consider 4 and 7 as well

M∪N = 9,3,6,4 and 7

{3, 4, 6, 7, 9} is the answer.
the 3rd set, you're welcome my dude

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for.

Answers

237+15x=402
-237        -237
0               165
x= 15÷165
x=11
237+15(11)=402
237+165=402
Caitlin paid for 11 swimming lessons, because $402-$15(11 *SL).
*SL=Swimming Lessons

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86.59

Answers

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Digit in tenths place- 5

If a soccer team played 160 games and won 65% of them, how many games did they win?

Answers

The correct answer is 104 games.

You get that number by dividing 160 with a 100, to find out how large 1% is, and then you multiply it with 65 to find out how much 65% is, and the answer is 104 games.
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