An easier way to write this would be -9-15, which we can solve just by counting backwards for 15 numbers from -9. When we do this, we can see that his expression is equal to -24.
Answer:
k is the vertical shift
Step-by-step explanation:
y=a(x-h)^2+k
This gives the parabola in vertex form
(h,k) is the vertex where h is the x coordinate and k is the y coordinate
k is the vertical shift
Step-by-step explanation:
7.4÷4= 1.85
1 jar weighs 1.85 pounds
1.85×24= 44.4 pounds
another way:
7.4x6= 44.4pounds
Answer:
A -6 < x ≤ -3
Step-by-step explanation:
21 ≤ - 3(x - 4) < 30
Divide all parts by -3. Remember that flips the inequalities
21/-3 ≥ - 3/-3 (x - 4) > 30/-3
-7 ≥ (x - 4) > -10
Add 4 to all sides
-7+4 ≥ x - 4+4 > -10+4
-3 ≥ x > -6
Rearranging the order
-6 < x ≤ -3
Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
