Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Answer: Choice A
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The first term is 8 as this is the y coordinate of the point when x = 1.
The second term is 4 (since y = 4 when x = 2)
etc etc
The sequence of terms is: 8, 4, 2, 1, ...
Each time we're dividing by 2, or multiplying by 1/2. This is why r = 1/2
Put this together and we have this geometric nth term formula
an = 8*(1/2)^(n-1)
This means the answer could be A or it could be C. However, we can rule out choice C because the rate of change is not positive. Draw a line through (1,8) and (3,2) and you'll see this line has a negative slope. So the rate of change is negative.
The only answer left is choice A.
Answer:
10 miles
Step-by-step explanation:
He could run 2 miles.
Now he can run 5 times as far.
Now he can run 5 times 2 miles.
5 × 2 miles = 10 miles
J =Jorge
if the sum is no less than 25 then the best result to the question is Jorge is 8, while his brother is 9, but to put that in an inequality it'll be 2x+2j - 2 is greater than or equal to (couldnt use intended symbol)...25
They are parallel when the slopes are the same
example:
y=2x+3
y=2x-5
