Answer:
8. (Refer to explanation)
Step-by-step explanation:
Factors of 16 and 24:
16:
1 x 16
2 x 8
4 x 4
Factors of 16 are 1, 2, 4, 8 and 16
24:
1 x 24
2 x 12
3 x 8
4 x 6
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
How to find common factor?
To find the common factor, you need to list out the factors and if a factor which is the same number appears from both 16 and 24, it is known as a common factor.
Common factors of 16 and 24 are 1, 2, 4, 8. Since greatest common factor is the number which is a common factor but is the biggest number, the answer is 8.
Answer:
22/25<8/9
Step-by-step explanation:
Answer:
Slope = 0, y int = (0,4)
If there is no x variable, slope is 0. y = 4 so no matter what x is (which it will always be 0) the y intercept will always be 4
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>
