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pshichka [43]
3 years ago
7

Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back so

me amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

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The cost of 3 tacos and 1 soda is $7. The costof 4 tacos and two sodas is $10. What is the cost of one taco
statuscvo [17]

Answer:

cost of tacos=$2

cost of soda=$1

Step-by-step explanation:

x=price of tacos

y=price of soda

3x+y=7 --> y=7-3x

4x+2y=10 --> y=5-2x

5-2x=7-3x

x=2

y=5-2(2)=1

4 0
3 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
There are 30 students in a year 6 class.
xxMikexx [17]

Answer:

32

Step-by-step explanation:

add

6 0
2 years ago
jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at le
PtichkaEL [24]

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

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2 years ago
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Answer:

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Step-by-step explanation:

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