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Brums [2.3K]
3 years ago
14

The table shows a linear function.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.

The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.

The slope, the change in y divided by the change in x for two points, is ...

... (-1 -2)/(10 -5) = -3/5

This is the slope and the coefficient of x in the linear equation.

Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:

... y = mx + b

... y = (-3/5)x + 5

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Use the substitution method to solve.<br><br> y=5−3x<br> 5x−4y=−3
Vadim26 [7]
Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2
6 0
3 years ago
STEP 2 HELP ME ASAP !!!!
Whitepunk [10]

Answer:

y=7x

Step-by-step explanation:

x=time

8 0
3 years ago
Which value for x makes this sentence true? ( 8th Grade math )
fenix001 [56]
The answer is x=5 :)
6 0
3 years ago
Read 2 more answers
Find the average rate of change of the function over the given intervals. f(x) = 12x3 + 12; [5,7]
AlladinOne [14]
<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512

so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
average rate of change = 1308

hope it helps
7 0
3 years ago
Does anyone know how to do this who can pls explain it to me?
Elza [17]

Answer:

The unit rate is $8.89 /ft².

Step-by-step explanation:

Given:

$160 for 18ft².

So, by dividing with 18

\frac{160}{18} we get 8.888.

Now, round to nearest hundredth for $8.888 is $8.89.

Therefore, the unit rate is $8.89 /ft².

7 0
3 years ago
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