Answer:
Step-by-step explanation:
<u>Given quadratic function:</u>
<u>Points on the graph:</u>
- (-2,-35), (1,-5), (3,- 15)
<u>Substitute values of x and y and solve the system of equations:</u>
- -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
- -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
- -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3
<u>Subtract eq 2 from eq 1:</u>
- -35 - (-5) = 4a - 2b + c - a - b - c
- -30 = 3a - 3b
- b = a + 10 ⇔ eq 4
<u>Subtract eq 2 from eq 3:</u>
- -15 - (-5) = 9a + 3b + c - a - b - c
- -10 = 8a + 2b
- b = -4a - 5 ⇔ eq 5
<u>Compare eq 4 and eq 5, solve for a:</u>
- a + 10 = -4a - 5
- a + 4a = -5 - 10
- 5a = -15
- a = -3
<u>Find the value of b using eq 4:</u>
<u>Find the value of c using eq 2:</u>
- -5 = -3 + 7 + c
- c = -5 - 4
- c = -9
<u>We now have a, b and c:, the function is:</u>
Answer:
0 votes
Answer:27000Step-by-step explanation:interest= principal×rate×time÷ 100=270000×5×2÷100=27000
Answer:
Step-by-step explanation:
2. 3/2 = 1.5. 3. 7. 5. 7/5 = 1.4. 4. 17. 12. 17/12 = 1.416666 ... l.3(d). Leta be the least upper bound (i.e., the smallest number at least as great as.
Answer:
1)y=-2x+3
2)Y=-3/5x-6
3)y=1/4x+8
4)M=2
5)y=5x-1
6)M=-5/6
Step-by-step explanation:
The temperature drops 22<span>°F in 15 minutes.
22</span>°F / 15 = 1.46<span>°F per minute
Hope I helped!</span>
