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alexira [117]
3 years ago
9

F(x) = -5x +8(7-x) find x such that f(x) =160

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

Step-by-step explanation:

f(x) = -5x + 8(7 - x)......when f(x) = 160

160 = -5x + 8(7 - x)

160 = -5x + 56 - 8x

160 - 56 = -5x - 8x

104 = - 13x

-104/13 = x

-8 = x <====

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Every year on Earth Day, a group of volunteers pick up garbage at Hidden Falls Park. The time takes to clean the beach varies in
KengaRu [80]

Answer:

Step-by-step explanation:

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8 0
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AnnyKZ [126]
Its 70 because it is
7 0
2 years ago
How do you solve the system 3x-y z=5, x 3y 3z=-6, and x 4y-2x=12?
dlinn [17]
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)

From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . .  (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)

(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5

From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
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8 0
3 years ago
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
How the transformations of the functions f(x)=15tanx and g(x)=tanx+15 differ?
Irina-Kira [14]
The transformation of <span>f(x)=15tanx would be achieved by dilating y</span>=tanx graph 15 times. This transformation will cause y'=15 y. This will increase the value of dilation become 15 times of the original

The transformation of g(x)=15tanx would be achieved by shifting y=tanx graph 15 right. This transformation will cause x'=x+15. This will change the value from tan x into tan(x+15)
3 0
3 years ago
Read 2 more answers
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