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Mandarinka [93]
2 years ago
6

Please help asappppp

Mathematics
1 answer:
7nadin3 [17]2 years ago
8 0

Answer:

Intersecting lines - One solution

Parallel - No solution

Same lines - Infinite number of solution

Step-by-step explanation:

If the graphs intersect then there is one solution. (Example attached)

If the graphs are parallel(they do not touch) then there is no solution

If the graphs are the same, they will be an infinite number of solutions

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Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden
blagie [28]

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

Divide by 8.

7 = w, or w = 7.

The width of the garden is 7 feet.

5 0
3 years ago
Select the correct answer.
photoshop1234 [79]

Answer:

A.

General Formulas and Concepts:

<u>Math</u>

  • Fraction conversions to decimal

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

5/2 would be 2.5 and 4/3 would be approximately 1.333.

Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.

7 0
3 years ago
g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur
sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

\displaystyle V = \pi r^2h

Substitute:

\displaystyle (300) = \pi r^2 h

Solve for <em>h: </em>

\displaystyle \frac{300}{\pi r^2} = h

Recall that the surface area of a cylinder is given by:

\displaystyle A = 2\pi r^2 + 2\pi rh

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r}  \end{aligned}

Find its derivative:

\displaystyle A' = 4\pi r - \frac{600}{r^2}

Solve for its zero(s):

\displaystyle \begin{aligned} (0) &= 4\pi r  - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

\displaystyle  \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2}  \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm}   \end{aligned}

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0
3 years ago
this graph shows the relationship between the pound of cheese brought at a deli and the total cost in dollars for the cheese
Savatey [412]

Easy! The best answer is B!

PLEASE GIVE ME THE BRAINLIEST I TRIED REALLY HARD ON THIS QUESITON!


3 0
3 years ago
Your friend borrows $7500 to buy an all-terrain vehicle (ATV). The simple annual interest rate is 6%. She pays off the loan afte
e-lub [12.9K]

Answer:

$162.50

Explanation:

The total amount to be paid is 7500+5(7500)(0.06)=$9750.

There were a total of (5)(12)=60 payments, so each payment is 9750/60 = $162.50.

6 0
2 years ago
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