<span>Diviseur de 63 et 67</span>
<span>
</span>
<span>0.94029850746</span>
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:
The system of equations is :
Equation 1- 
Equation 2- 
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- 
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
Inequality Form:
g
≥
−
4
Interval Notation:
[
−
4
,
∞
)
Step-by-step explanation:
Solve for g by simplifying both sides of the inequality, then isolating the variable.
The answer you picked is correct.