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IRISSAK [1]
3 years ago
14

Which function is represented by the graph?

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:   f(x)=-\frac{1}{2}x+6

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is hte y-intercept.

In this case, you can identify in the graph that the y-intercept is:

y=6

 By definition, the slope can be calculated with this formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, in order to find the slope, you can pick the points (0,6) and (12,0) and say that:

y_2=0\\y_1=6\\\\x_2=12\\x_1=0

So, substituting these values into the formula, you get:

m=\frac{0-6}{12-0}=-\frac{1}{2}

Therefore, the function represented by the given graph is:

f(x)=-\frac{1}{2}x+6

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A fish tank that is 5 feet long by 3 feet wide by 3 feet high has a 2 foot cubic stone placed in the bottom how much water will
maks197457 [2]

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³

Volume of the water = volume of the fish tank - volume of the cubic stone

i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

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3 years ago
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Ted was faster by .2 seconds.
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3 years ago
Write the equation for the graph below.<br> PLEASE I NEED HELP !
mrs_skeptik [129]
Y= 1x+ 3
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5 0
3 years ago
Pls answer quickly if possible!​
Allisa [31]

Answer:

answer is B. 3 and 2

Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4
baherus [9]

Answer:

log_3(2x+15)=2  and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3

6 0
3 years ago
Read 2 more answers
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