I can only clearly see #5.
A mile has 5,280 feet.
Divide 18,472 by 5,280.
18,472 / 5,280 = 3.5
18,472 feet is about 3.5 miles.
Because
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
1st question: 26 miles per gallon
2nd question: 4 miles per hour
3rd question: The 5 bags of pretzels is the lower unit price.
Hope this helps!
Answer:
13
Step-by-step explanation:
Evaluate the expression for v = 2.
First, plug in 2 wherever v is seen.
5v + 3
5(2) + 3
Next, multiply.
5(2) + 3
10 + 3
Add.
10 + 3
13
Your final answer is 13.
Please let me know if there are any issues with this answer.
Answer: (x,y) = (6,-3)
This means 6 goes in the first blank and -3 goes in the second blank.
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Explanation:
Solve the second equation for x
x+8y = -18
x = -18-8y
We'll plug that into the first equation and isolate y. This is where substitution comes in.
5x + 7y = 9
5( x ) + 7y = 9
5( -18-8y ) + 7y = 9 ... replace x with -18-8y
-90-40y + 7y = 9
-90-33y = 9
-33y = 9+90
-33y = 99
y = 99/(-33)
y = -3
Use this y value to find x
x = -18-8y
x = -18-8(-3)
x = -18+24
x = 6
The solution is (x,y) = (6,-3)
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Checking the answer:
Let's check the first equation
5x+7y = 9
5(6)+7(-3) = 9 ... plug in (x,y) = (6,-3)
30-21 = 9
9 = 9 .... true equation
Do the same for the second equation as well
x+8y = -18
6 + 8(-3) = -18
6 - 24 = -18
-18 = -18 .... also true
Both equations are true when we plug in (x,y) = (6,-3), so the solution is confirmed.