Answer:
-5x^2-2x
Step-by-step explanation:
When distributing, you multiply the term outside the brackets to all the terms in brackets.
If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.
So in this prob. -x would multiply to both +5x and +2
-x*5x+-x*2
∴-5x^2-2x
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
Answer:
6 apples, 21 apples, 30 apples respectively
Step-by-step explanation:
Let us first start by writing <u>expressions</u> so that we can easily solve for the problems below.
Let us suppose Alice is x. In this case, Claire has 3 times Alice's apples, so 3x.
1. If Alice has 2 apples (x), then Claire has 3x
3*2=<u>6 apples</u>
Claire has 6 apples.
2. If Alice has 7 apples (x), then Claire has 3x
3*7=<u>21 apples</u>
Claire has 21 apples.
<u />
3. If Alice has 10 apples (x), then Claire has 3x
3*10=<u>30 apples</u>
Claire has 30 apples.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
(10v + 45) = 5(2v + 9)
To factor find a number that can go flu shot into the 2 numbers given. In the question you posted, th at number was 5. 5 could go into 10v and 45.
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
The slope of the line would be 5x.
