Comparative relationships between numbers
Answer:
FALSE
Step-by-step explanation:
Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that
Now, take a = 2.5 and b = 2
The functions
are both exponential of order 1, since
but a>b
<span>(a) Triangles ABC and PQR are similar triangles since they both share 2 congruent angles and therefore their 3rd angle is also congruent. So the triangles are similar due to the AAA similarity theorem.
(b) The area of triangle PQR is 1 million times larger than the area of triangle ABC. This can be shown since the area of a triangle is 1/2 base times height. You can show that the base of triangle PQR is 1000 times larger than the base of triangle ABC. And since all the sides are in proportion to each other, the height of triangle PQR is also 1000 times larger than the height of triangle ABC. And since 1000 times 1000 equals 1,000,000 or 1 million, the area of triangle PQR is 1 million times larger than triangle ABC.</span>
Answer:
That is a 25% change.
Step-by-step explanation:
Answer:
when x = 7, y = 21
Step-by-step explanation:
This is about direct variation. If y varies directly with x, then there is a constant factor of variation, k. The constant of variation can be found by ʸ⁄ₓ
k = ʸ⁄ₓ
k = ¹⁵⁄₅ = 3
Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.
y = 3x
y = 3(7)
y = 21
