The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
Answer:
5,10,15,20... is A). 20,17,14,11... is B). 1,3,9,27... is C). and 128,32,8,2 is D)
Step-by-step explanation:
plug in each common difference/ common ratio with each set to see what works
33.C
34.C
Those are the answers
Answer:
x = 8/7
Step-by-step explanation:
Step 1: Convert to math
7x - 5 = 3
Step 2: Solve for <em>x</em>
- Add to both sides: 7x = 8
- Divide both sides by 7: x = 8/7