Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y =
+ k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
Answer:
40
Step-by-step explanation:
its 40 because bob is orange.
-3r + 15 ≥ 4(r - 2)
-3r + 15 ≥ 4(r) - 4(2)
-3r + 15 ≥ 4r - 8
+ 3r + 3r
15 ≥ 7r - 8
+ 8 + 8
23 ≥ 7r
7 7
3²/₇ ≥ r
r ≤ 3²/₇
Solution Set: x ∈ (-∞, 3²/₇]
Answer:
156
Step-by-step explanation:
Let number of juniors be j and number of seniors be s
Thus, we can write:
<u> 236 juniors and seniors in Mr. Jay's math class:</u>
j + s = 236
Also
<u>There are 4 fewer juniors than twice the number of seniors:</u>
j = 2s - 4
Now putting equation 2 into 1, we can solve for s:
j + s = 236
2s - 4 + s = 236
3s = 240
s = 80
Hence, juniors is:
j = 2s - 4
j = 2(80) - 4
j = 156
There are 156 juniors
Answer:
1765
Step-by-step explanation:
4210÷2= 2105
2105+320=2425
4210-2425=1765
therefore the answer is 1765