The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>
<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>
<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>
Thus average rate of change from x = -1 to x = 2 is 2
Answer:
€98.
Step-by-step explanation:
A 30% deposit is 0.30 * 840
= €252.
So there is 840 - 252
= €588 left to pay.
The amount of each monthly instalment
= 588 / 6
= €98.
This is the construction of a perpendicular line to the given line AB using a point F, which does'not lies on the line AB.
The first two steps are constructed. We have to give the next two steps to complete the construction.
Step 3: Using the same radius A and B as centers, draw two arcs below the line AB.
Step 4: The two arcs will intersect at a point. Name that point as 'X'. Join 'F' and 'X'.
Thus, FX is the required perpendicular to the line AB from point 'F'.
Answer:
B. 1. x^6
2. -6a^7
3. r^11
4. x^6
5.a^3b^6
6.x^14
7. 12y^8
8. 55x^4y^6
9. 30m^4n^4
10. 6a^10b^6c^16
C. 1. 40m+60n-810
2. 12am^2 - 8an- 16al^3+4ap
3. 2xmn-3ymn-4zmn
4. 20bx^2-8bx+20b
5. -28xa+4xb-14x
6. y^2 - 4
7. 4x^2 - 16
8. 16b^2 - 4
9. 25a^2-49
10. 9m^2-49
Answer:
A) No...
Step-by-step explanation:
We can check if this triangle is a right triangle by using the Pythagorean Theorem.
- a² + b² = c²
- where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)
Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:
Simplify.
We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.
Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.
This leaves us with answer choice A. 52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)
