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Answer:
<h2>x² + 7x - 7</h2>
Step-by-step explanation:
f(x)=7x-3 and g(x)=x²-4
(f+g)(x) = f(x) + g(x) = 7x - 3 + x²- 4
= x² + 7x - 7
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:)
Answer:
620
Step-by-step explanation:
Not only you can find it, but 10 to the third power is 1,000 and 620,000 divided by 1,000 is subtracting the three 0s from it which would equal 620.
Answer:
I've pretty much already solved this, in my discussion above:
| 3 | = 3
| –3 | = 3
So then x must be equal to 3 or equal to –3.
But how am I supposed to solve this if I don't already know the answer? I will use the positive / negative property of the absolute value to split the equation into two cases, and I will use the fact that the "minus" sign in the negative case indicates "the opposite sign", not "a negative number".
For example, if I have x = –6, then "–x " indicates "the opposite of x" or, in this case, –(–6) = +6, a positive number. The "minus" sign in "–x" just indicates that I am changing the sign on x. It does not indicate a negative number. This distinction is crucial!
Whatever the value of x might be, taking the absolute value of x makes it positive. Since x might originally have been positive and might originally have been negative, I must acknowledge this fact when I remove the absolute-value bars. I do this by splitting the equation into two cases. For this exercise, these cases are as follows:
a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without changing its sign, giving me the equation x = 3.
b. If the value of x was negative to start with, then I can bring that value out of the absolute-value bars by changing the sign on x, giving me the equation –x = 3, which solves as x = –3.
Then my solution
Slope-Intercept: y = mx + b ; where "m" is the slope and "b" is the y-intercept
Start with "b". Where does the line cross the y-axis? <em>at 0</em>
Next, look at the slope. Pick two point and count the rise over run. Let's use the points (2, 5) and (4, 10). The rise = +5 (up 5 ) and the run = +2 (right 2)
= 2.5
Now, plug in the "m" and "b" into the Slope-Intercept formula:
y = 2.5x + 0 ⇒ y = 2.5x
Answer: C
Note: you can also use the slope formula to find "m": m = (y₂ - y₁)/(x₂ - x₁)
Answer:
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Step-by-step explanation:
we know that
the expression " one over " is equivalent to
--------> expression A
and
--------> expression B
substitute the expression B in the expression A
-----> one over three
therefore
the answer is the option
one over three(p + 5)