Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
f(5) = 3(5) + 10
f(5) = 15 + 10
f(5) = 25
<h3>
Answer: C) 42 inches</h3>
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Explanation:
Let's say we have a triangle with sides x,y,z
Also, let's further say we know that x = 19 and y = 28 (from AB and BC respectively).
The third missing side z can't be nailed down to a single number, but we can establish a possible range. That range is
y-x < z < y+x
28-19 < z < 28+19
9 < z < 47
So any number between 9 and 47, excluding both endpoints, will work as a possible side length for the third missing side.
Something like 7 inches is too small, so we rule out choice B. Choice D is ruled out since 49 inches is too big. Same goes for choice A also.
The only thing left is choice C. The 42 is between 9 and 47
In other words, 9 < 42 < 47 is true.
So that's why the third missing side could be 42 inches.
Side note: I'm using a modification of the triangle inequality theorem.
When solving for a variable in an equation, get it separated from the others onto one side typically the left hand side and rest onto the opposite side usually the right hand side.
V = x / t
First, let us get the 't' variable out of denominator position and then it will be easier to work with.
V * t = (x / t) * t
Why did I multiply each side by 't' and not just the "x / t" expression? That is because every operation we do on one side, we must also do on the opposite side.
Okay, now we get the following equation.
V * t = x
We removed the 't' variable from denominator and in fact, it doesn't even exist anymore on the right hand side!
To complete this question, all we have to do is divide each side by 'V' and we are done!
(V * t) / V = x / V
Comes out to:
t = x / V
And there is your answer! Hope this helps with your adventure in learning Algebra!
1.)
The term (2+8) is the amount of fabric Ali bought. You know this because in the problem, it says that she buys “2 white pieces and 8 blue pieces”
2.)
The terms of the equation are
k and 2f
These are the terms because they are separated by the addition sign
3.) $36
You would first find rate per sand which. To find this, you would do:
9/2
This will give you
4.5. Now, you multiply that by 4. That gives you 36.
4.) The skateboard costs 150
How?
30 is 20% of the price. 20x5=100. So, to find the total amount, you would multiply 30 by 150.
5.) About 50 miles an hour.
You always put distance over time. If you do:
400/8
You get the average rate of 50
6.) 5n
How?
Well, there are five cents in every nickel. So, to find out how many pennies, you would multiply the amount of nickels by 5.
Have a good night :)
Answer: 
Step-by-step explanation:
Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the slope is .
