Answer:
y=5x+10
Step-by-step explanation:
The slope of the equation is caused by a rate of change. The only factor changing in this situation is the amount of money he earns per hour, (5 dollars).making 5 your slope. your y intercept is the one time fee (not changing by any increment of time) making 10 your why intercept. Then you just plug those values into the following equation, y=mx+b, where m is your slope and b is your y intercept.
Answer: x = -1 and x = 0.
Justification:
The solution of f(x) = g(x) are those values of x for which the output of f(x) is equal to the output of g(x).
The table shows that the output for f(0) is 0 and the output of g(0) is also 0.
So, 0 is one solution of the equation.
Also, the table shows that the output for f(-1) is - 1/2, as well as the output of g(-1) is - 1/2. So, -1 is other solution of the equation.
Therefore, this equation has two solutions x = - 1 and x = 0.
Answer:
To find the value of y, you would put your expressions (12y+3, and 51 equal to each other, because they are both the same length)
12y+3=51
12y=48 (51-3=48)
y=4 (divide both sides by 12, 48/12=4)
Then to find x you want to find the missing degree of the triangle
we already know that one degree is 63 and the other is 56,
A triangle equals 180 degrees
56+63=119
Then you want to subtract 119 from 180 to find out the missing degree
180-119=61
x=61 degrees
y=4 and x=61
Hope this helps ;)
Answer:
answer=B
Step-by-step explanation:
a-8=
(×5 for both sides)
4a-40=1
With these given values:
<span> f(0)=4 and f′(x)≤4
</span>
The solution is as follows:
<span>f(0) = 4
f ' (x) ≤ 4 for all x
The Mean Value Theorem says there is a c between 0 and 4 such that f ' (c) = [f(4) - f(0)] / (4 - 0)
But since f ' (x) ≤ 4 for all x, then [f(4) - f(0)] / (4 - 0) ≤ 4
Since f(0) = 4, then [f(4) - 4] / (4 - 0) ≤ 4
Multiplying both sides by 4 you get f(4) - 4 ≤ 16
Adding 4 to both sides you get f(4) ≤ 20
So f(4) ≤ 20
</span>
By examining the solution, it could guide you on answering the problem on your own. Hope that helps