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2 years ago

Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5

Mathematics

1 answer:

stellarik [79]2 years ago

6 0

Answer:

The line passes through (4, -7) and (5, -10).

Step-by-step explanation:

When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.

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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe

Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x + 32.50 = 10.25x + 51.25

14x - 10.25x = 51.25 - 32.50

3.75x = 18.75

x = 18.75/3.75

x = 5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

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8 0

2 years ago

Read 2 more answers

For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?

Bond [772]

Given that $r=\theta$ , then $r'=1$

The slope of a tangent line in the polar coordinate is given by:

$m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}$

Thus, we have:

$m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}$

Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

$\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

θ = 0

θ = 2.02875783811043

θ = 4.91318043943488

Part B:

For vertical tangent lines, $\frac{1}{m} =0$

Thus, we have:

$\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

θ = 4.91718592528713

3 0

3 years ago

What is the Width, explain how you got your answer (8 points btw)

asambeis [7]

Answer:

Based off of my calculations, I got 126

Step-by-step explanation:

The formula for area would be: A = L * W

So, when finding the width (W), you would need to divide the area (A) by the length (L).

Equation: W = A / L

Now you know the equation, all you need to do is plug in the numbers:

[84 divided by 2/3]

W = 84 / 2/3

After solving this, you would get: 126

So, W = 126.

To check if we got the correct answer, we could just multiply the length times the width:

126 * 2/3

Since this equation gives us 84 as the answer, 126 is the correct width.

3 0

3 years ago

{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)} Dom: Range: Function?

kozerog [31]

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value

4 0

3 years ago

15x (1/3+1/5) I need help with this one also?

love history [14]

Answer:

Step-by-step explanation:

15 x (1/3+1/5) make common denominators and add

15 x (5/15+3/15) add fractions

15/1 x (8/15) 15 and 15 cancel out and become 1

1/1 x 8/1

1 x 8

3 0

2 years ago

Read 2 more answers

Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5​

Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5