Answer:
area = 2x² - 17x - 21
Step-by-step explanation:
Area of the rectangle is:
area = (width*length)
area = (x+7)*(2x-3)
= x*2x + x*-3 + 7*2x + 7*-3
= 2x² - 3x - 14x - 21
= 2x² - 17x - 21
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
Let the missing angle be x.
By angle sum property,
- ∠x + 20° + 80° = 180°
- ∠x + 100 = 180°
- ∠x = 180° – 100°
- ∠x = 80°
So, <u>Correct choice</u> - [C] 80°.
Answer:
-6 -7 -8 -9 -10
Step-by-step explanation:
anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong
any negative number that keeps increasing after -6
Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
Thus, the portion of yellow crayons is:
This fraction of x crayons is equal to 14, thus:
x = 72
There are 72 crayons in the box
<h3>Answers:</h3>
- (a) The function is increasing on the interval (0, infinity)
- (b) The function is decreasing on the interval (-infinity, 0)
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Explanation:
You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).
The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)
Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)
