Answer:
B) The system graphs as one line.
Step-by-step explanation:
The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.
So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.
Hope this helps!
Answer:
There is a formula for this:
[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]
[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5
= 0.8571428571 Hours =
51.43 minutes
Both Jenna and Juan are INCORRECT.
Step-by-step explanation:
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
A linear equation that relates the cost of c in dollars of renting a truck to the number x of miles driven is c = 0.09x + 39, and the cost of renting the truck if the truck is driven 187 miles and 319 miles is equal to $55.83 and $67.71 respectively.
If the rental company rents a truck by charging $34 and 0.09$ per mile, the liner equation can be given as
c = 0.09x + 39
where c represents the cost in dollars of renting the truck and x represents the number of miles
If the truck is driven 187 miles, it can be calculated using the linear equations as follows,
c = 0.09x + 39
As x = 187
c = 0.09 (187) + 39
c = 16.83 + 39
c = 55.83
If the truck is driven 319 miles, it can be calculated using the linear equations as follows,
c = 0.09x + 39
As x = 319
c = 0.09 (319) + 39
c = 28.71 + 39
c = 67.71
Hence the cost in dollars of renting the truck if the truck is driven 187 miles and 319 miles is calculated to be 55.83 and 67.71 respectively.
To learn more about linear equations, click here:
brainly.com/question/12788590
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Answer:
-1
Step-by-step explanation:
I solved it the way one-variable equations are solved.