Answer:
The answer to your question is (x₁ - 4)(x₂ - 9)(x₃)(x₄ +4)
Step-by-step explanation:
Data
zeros of a polynomial = 4, 9, 0, -1
Process
1.- Equal each root to zero
x₁ = 4 x₂ = 9 x₃ = 0 x₄ = -1
x₁ - 4 = 0 x₂ - 9 = 0 x₃ = 0 x₄ + 1 = 0
2.- Write the terms together
(x₁ - 4)(x₂ - 9)(x₃)(x₄ +4)
3.- Expand to check the answer
(x - 4)(x - 9) = x² -13x + 36
(x² -13x + 36)(x) = x³ - 13x² + 36x
(x³ - 13x² + 36x)(x + 4) = x⁴ - 13x³ + 36x² + 4x³ - 52x² + 144x
= x⁴ - 9x³ - 16x² + 144
Answer:
The inequality is 0.6x < 12.5
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
0.6x < 12.5 inequality that represent the situation
Solve for x
x < 12.5/0.6
x < 20.8 days
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Answer:
a10=3,814.7
Step-by-step explanation:
Use the formula an = a1(r)^n-1 and solve.
Answer:
5.5
Step-by-step explanation:
There are quite a few possible combinations that are minimum 8 sodas, and under $20.
1. 4 Dr. Peppers and 4 Sprites. $2.98 times 4 = $11.92. $1.99 times 4 = $7.96. $7.96 + $11.92 = $19.88.
2. 3 Dr. Peppers and 5 Sprites. $2.98 times 3 = $8.94. $1.99 times 5 = $9.95. $9.95 + $8.94 = $18.89.
3. 2 Dr. Peppers and 6 Sprites. $2.98 times 2 = $5.96. $1.99 times 6 = $11.94. $11.94 + $5.96 = $17.90.
4. 2 Dr. Peppers and 7 Sprites. $2.98 times 2 = $5.96. $1.99 times 7 = $13.93. $5.96 + $13.93 = $19.89.
5. 1 Dr. Pepper and 7 Sprites. $2.98 times 1 = $2.98. $1.99 times 7 = $13.93. $2.98 + $13.93 = $16.91.
6. 1 Dr. Pepper and 8 Sprites. $2.98 times 1 = $2.98. $1.99 times 8 = $15.92. $15.92 + $2.98 = $18.90.
I hope this helps!
