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KengaRu [80]
3 years ago
10

3(t-7) =6. Solve for the and show steps

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\  \frac{3t}{3} cancel =  \frac{27}{3}keep \\ t = 9
________________________________________________________________
 8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72)  = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72  \\  = 8 + 72 \\ divide8 :  \frac{8h}{8}cancel =  \frac{80}{8} (keep) \\ h = 10
________________________________________________________________
 9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\  9 +2z+4 = 15\\  Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\  \frac{2z}{2}cancel =  \frac{10}{2} = 5 \\ z = 5
:)                                                                                                                                             :)
good luck on your assignment and enjoy your day

~MeIsKaitlyn:)
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ValentinkaMS [17]
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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

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Put the value of x from equation (1) in (2)

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For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

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Put the value of y in equation (3).

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3 years ago
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The points represent a linear function

so

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we know that

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