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RSB [31]
4 years ago
6

Solve the equation 3x+5y=15 for y

Mathematics
1 answer:
larisa86 [58]4 years ago
7 0
<span> 3x+5y = 15
       5y = -3x + 15
         y = -3/5(x) + 3

hope it helps


</span>
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Create a question with this scenario you could ask that could be answered only by graphing or using logarithm.
Vesnalui [34]

Answer:

After how many years is the fish population 100?

x=3.97 years

Step-by-step explanation:

The fish population increases by a factor of 1.5 each year. We have the equation that represents this situation

f (x) = 20 (1.5) ^ x

Where x represents the number of years elapsed f(x) represents the amount of fish.

Given this situation, the following question could be posed

After how many years is the fish population 100?

So we do f (x) = 100 and solve for the variable x

100 = 20 (1.5) ^ x\\\\\frac{100}{20} = (1.5)^x\\\\ 5= (1.5)^x\\\\log_{1.5}(5) = log_{1.5}(1.5)^x\\\\log_{1.5}(5) = x\\\\x =log_{1.5}(5)\\\\x=3.97\ years

Observe the solution in the attached graph

8 0
3 years ago
Write an equation of the line in slope- intercept form
gavmur [86]

Answer:

a)\ y=-\frac{1}{3}x

Step-by-step explanation:

Slope (m) form: \frac{y_2-y_1}{x_2-x_1}

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}

y=mx+b\\y=-\frac{1}{3}x +b

(0, 0)

y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b

y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x

Check your answer:

y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1

This statement is true

Hope this helps!

6 0
2 years ago
Π is the ratio of _______________ to _______________.
bearhunter [10]
D. Circumference to Diameter<span />
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3 years ago
When triangle GHI is rotated 180° clockwise about the origin, what will be the coordinates for the triangle G'H'I'?
ratelena [41]
A rotation of 180 degrees clockwise is
(x,y) goes to (-x,-y) even for counterclockwise
7 0
3 years ago
Solve this inequality. Show your steps. <br><br> -4(3+n)&gt;-32
Delicious77 [7]

Answer:

N<5

Step-by-step explanation:

-4(3+n) > -32

-4(n+3) > -32

-(4n + 4 x 3) > -32

-(4n + 12) > -32

(-4n - 12) +12 > -32 + 12

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n < 2² x 5/ 2²

n<5

6 0
3 years ago
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