Y-k = a(x-h)²; h and k are given vertex(0,3), then
y -3 = a(x-0)²→ y = ax² + 3. From the table we can calculate a:(for x =1, y=2)
2 =a(1²) +3→ 2= a + 3 and a = -1, hence the equation:
y = -x². It's a parabola open downward with a max at (0,3)
y' = - 2x: This is the equation of the tangent with a rate of change = -2
Another way:
For x = 8, y₁'= -16. For x = 9, y₂' = -18
y'₂ - y'₁ = -18 + 16→ rate of change = -2
Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Answer:
3
Step-by-step explanation:
They should by 3 because 7 people want 5 cookies so in total amount they need 35 cookies.
Each box has 12 cookies meaning if they buy 3 they get 36 cookies so they reach the total amount they need and they get 1 extra.
So answer is 3
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Hope it helps have a great afternoon:)
Answer:
6
Step-by-step explanation:
Answer:
2^3=2×2×2=8
Step-by-step explanation:
8+4×2-7
8+8-7
16-7
9