Answer:
3/23 miles per hour
Step-by-step explanation:
2 /23 mile
-----------------
2/3 hour
2/ 23 ÷ 2/3
Copy dot flip
2 /23 * 3/2
Rewriting
2/2 * 3/23
3/23 miles per hour
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
So the length of the longest side is 2sqrt(10) units
Answer:
By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel. Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are the following: JK= 8 and JM= 12 and JK= 8 and JK is parallel to LM. Hope this answer helps.
Step-by-step explanation:
Answer:
The value of g(f(100)) is 65.
Step-by-step explanation:
It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.
The given functions are
where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.
We need to find the value of g(f(100)).
![g(f(x))=g[0.8(x)]](https://tex.z-dn.net/?f=g%28f%28x%29%29%3Dg%5B0.8%28x%29%5D)
Substitute x=100 in the above function.
![g(f(100))=g[0.8(100)]](https://tex.z-dn.net/?f=g%28f%28100%29%29%3Dg%5B0.8%28100%29%5D)
Substitute x=80 in function g(x) to find the value of g(f(100)).
Therefore, the value of g(f(100)) is 65.
g(f(x)) represents the value goods after applying both coupons consecutively.
Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.
Answer:
Step-by-step explanation:
<u>According the the table we have:</u>
- The y- intercept is 600, the initial balance
(A) The slope
<u>The slope is the rate of change per day: </u>
(B) The equations
<u>Point- slope form, use pair (0, 600):</u>
- y - y₁ = m(x - x₁)
- y - 600 = 40x
<u>Slope intercept form:</u>
<u>Standard form:</u>
- ax + by = c
- 40x - y = - 600
(C)
<u>Function notation uses the slope-intercept form:</u>
(D)
<u>Find f(7):</u>
