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Romashka-Z-Leto [24]

2 years ago

10

The sign shows the cost associated with a whitewater rafting trip write an expression to determind the cost of 3 childern and 1

adult renting equipment for whitewater rafting trip that lasts h hours

1 answer:

enot [183]2 years ago

8 0

3+1=h i beev this because you are adding the amount of adults to children then that would get you to h

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How do you get the answer and sketch it to this graft

Katyanochek1 [597]

F(x) = -4(x - 2)² + 2
f(x) = -4((x - 2)(x - 2)) + 2
f(x) = -4(x² - 2x - 2x + 4) + 2
f(x) = -4(x² - 4x + 4) + 2
f(x) = -4(x²) + 4(4x) - 4(4) + 2
f(x) = -4x² + 16x - 16 + 2
f(x) = -4x² + 16x - 14
-4x² + 16x - 14 = 0
x = <u>-16 +/- √(16² - 4(-4)(-14))</u>
   2(-4)
x = <u>-16 +/- √(256 - 224)</u>
   -8
x = <u>-16 +/- √(32)
</u>    -8<u>
</u>x = <u>-16 +/- 5.66
</u> -8<u>
</u>x = <u>-16 + 5.66</u> x = <u>-16 - 5.66
</u>      -8        -8<u>
</u>x = <u>-10.34</u> x = <u>-21.66</u>
      -8    -8
x = 1.2925    x = 2.7075
f(x) = -4x² + 16x - 14
f(1.2925) = -4(1.2925)² + 16(1.2925) - 14
f(1,2925) = -4(1.67055625) + 20.68 - 14
f(1.2925) = -6.682225 + 20.68 - 14
f(1.2925) = 13.997775 - 14
f(1.2925) = -0.002225
(x, f(x)) = (1.2925, -0.002225)
or
f(x) = -4x² + 16x - 14
f(2.7075) = -4(2.7075)² + 16(2.7075) - 14
f(2.7075) = -4(7.33055625) + 43.32 - 14
f(2.7075) = -29.322225 + 43.32 - 14
f(2.7075) = 13.997775 - 14
f(2.7075) = -0.002225
(x, f(x)) = (2.7075, -0.002225)
--------------------------------------------------------------------------------------------
f(x) = 2(x - 2)² + 1
f(x) = 2((x - 2)(x - 2)) + 1
f(x) = 2(x² - 2x - 2x + 4) + 1
f(x) = 2(x² - 4x + 4) + 1
f(x) = 2(x²) - 2(4x) + 2(4) + 1
f(x) = 2x² - 8x + 8 + 1
f(x) = 2x² - 8x + 9
2x² - 8x + 9 = 0
x = <u>-(-8) +/- √((-8)² - 4(2)(9))
</u> <u />2(2)
x = <u>8 +/- √(64 - 72)</u>
   4
x = <u>8 +/- √(-8)</u>
   4
x = <u>8 +/- √(8 × (-1))</u>
   4
x =<u> 8 +/- √(8)√(-1)</u>
   4
x = <u>8 +/- 2.83i</u>
      4
x = 2 +/- 1.415i
x = 2 + 1.415i x = 2 - 1.415i
f(x) = 2x² - 8x + 9
f(2 + 1.415i) = 2(2 + 1.415i)² - 8(2 + 1.415i) + 9
f(2 + 1.415i) = 2((2 + 1.415i)(2 + 1.415i)) - 16 - 11.32i + 9
f(2 + 1.415i) = 2(4 + 2.83i + 2.83i + 2.00225i²) - 16 - 11.32i + 9
f(2 + 1.415i) = 2(4 + 5.66i + 2.00225) - 16 - 11.32i + 9
f(2 + 1.415i) = 8 + 11.32i + 4.0045 - 16 - 11.32i + 9
f(2 + 1.415i) = 8 + 4.0045 - 16 + 9 + 11.32i - 11.32i
f(2 + 1.415i) = 12.0045 - 16 + 9
f(2 + 1.415i) = -3.9955 + 9
f(2 + 1.415i) = 5.0045
(x, f(x)) = (2 + 1.415i, 5.0045)
or
f(x) = 2x² - 8x + 9
f(2 - 1.415i) = 2(2 - 1.415i)² - 8(2 - 1.415i) + 9
f(2 - 1.415i) = 2((2 - 1.415i)(2 - 1.415i)) - 16 + 11.32i + 9
f(2 - 1.415i) = 2(4 - 2.83i - 2.83i + 2.00225i²) - 16 + 11.32i + 9
f(2 - 1.415i) = 2(4 - 5.66i + 2.00225) - 16 + 11.32i + 9
f(2 - 1.415i) = 8 - 11.32i + 4.0045 - 16 + 11.32i + 9
f(2 - 1.415i) = 8 + 4.0045 - 16 + 9 - 11.32i + 11.32i
f(2 - 1.415i) = 12.0045 - 16 + 9
f(2 - 1.145i) = -3.9955 + 9
f(2 - 1.415i) = 5.0045
(x, f(x)) = (2 - 1.415i, 5.0045)
--------------------------------------------------------------------------------------------
f(x) = -2(x - 4)² + 8
f(x) = -2((x - 4)(x - 4)) + 8
f(x) = -2(x² - 4x - 4x + 16) + 8
f(x) = -2(x² - 8x + 16) + 8
f(x) = -2(x²) + 2(8x) - 2(16) + 8
f(x) = -2x² + 16x - 32 + 8
f(x) = -2x² + 16x - 24
-2x² + 16x - 24 = 0
x = <u>-16 +/- √(16² - 4(-2)(-24))</u>
      2(-2)
x = <u>-16 +/- √(256 - 192)</u>
   -4
x = <u>-16 +/- √(64)</u>
   -4
x = <u>-16 +/- 8</u>
      -4
x = <u>-16 + 8</u>    x = <u>-16 - 8</u>
   -4    -4
x = <u>-8</u> x = <u>-24</u>
      -4    -4
x = 2 x = 6
f(x) = -2x² + 16x - 24
f(2) = -2(2)² + 16(2) - 24
f(2) = -2(4) + 32 - 24
f(2) = -8 + 32 - 24
f(2) = 24 - 24
f(2) = 0
(x,f(x)) = (2, 0)
or
f(x) = -2x² + 16x - 24
f(6) = -2(6)² + 16(6) - 24
f(6) = -2(36) + 96 - 24
f(6) = -72 + 96 - 24
f(6) = 24 - 24
f(6) = 0
(x, f(x)) = (6, 0)
<u />

5 0

2 years ago

What is 2 5/6 +1 5/7

mylen [45]

Hi Cherise1cherhop lets break this equation down with these steps:

1) add the whole numbers first

2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication

3) make the denominators (bottom numbers) the same as the LCD (42)

4) simplify it, now the denominators are equal

5) join the denominators together

6) simplify it (3 + 65/42)

7) convert 65/42 to mixed fraction

8) now that we made it a mixed fraction, simplify it

Answer: 4 23/42

8 0

2 years ago

What is the sum or difference? 3x^8 + 7x^8

posledela

Answer:

10x^8 is the sum

Step-by-step explanation:

7 0

2 years ago

what effect does doubling the radius of a cone have on the volume of the cone if the height remains the same

Butoxors [25]

V=(1/3)hpir^2
lets say this is original, undoubled volume
so o=v=(1/3)hpir^2

so for new volume, or n, that is r to 2r, doubled radius
n=(1/3)hpi(2r)^2
n=(1/3)hpi4r^2
n=4((1/3)hpir^2)
remmember that o=(1/3)hpir^2
n=4(o)

it is 4 times the old one

4 0

2 years ago

Can someone please answer this m

sweet-ann [11.9K]

Answer:

5^-4

1 / 5^4

Step-by-step explanation:

5^3 / 5^7

We know a^b / a^c = a^(b-c)

5^(3-7)

5^-4

If you are not allowed to have negative exponents

We know a^-b = 1/a^b

1 / 5^4

7 0

2 years ago