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a_sh-v [17]
3 years ago
6

What is the slope of the line that passes through the points (–1, –17) and (–4, –2)?

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0
Hello!

To find the slope of a line, we use the formula y2-y1/x2-x1.

Each ordered pair can either represent the 1,s or the 2,s and the slope will be the same. For our example, lets have (-1,-17) represent (x1,y1) and (-4.-2) represent (x2,y2). 

We will plug these values into the equation.

-2+17/-4+1
15/-3
-5

The slope of the line is -5, but let's check our answer by switching the 1's and 2's.

-17+2/-1+4
-15/3
-5

The slope of the line is -5.

I hope this helped you!

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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
Andreas93 [3]

Answer:

  • Minimum 100 bicycles
  • Minimum cost is 13500

Step-by-step explanation:

<u>Given function:</u>

  • C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

<u>Vertex of the given function is:</u>

  • x = -(-600)/(2*3) = 100

b.

<u>Cost at vertex is:</u>

  • C(100) = 3*100^2 - 600*100 + 43500 = 13500
7 0
3 years ago
Jay places $3200 in an investment account earning 4.1% interest compounded weekly. How much money would he have in the account a
jasenka [17]

Answer:

A = $3,926.71

Step-by-step explanation:

Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years

To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?

Formula: A = P(1 + r/n)^nt

Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan

First, convert R as a percent to r as a decimal

r = R/100

r = 4.1/100

r = 0.041 rate per year,

Then solve the equation for A

A = P(1 + r/n)^{nt}

A = 3,200.00(1 + 0.041/12)^{(12)(5)}

A = 3,200.00(1 + 0.003416667)^{(60)}

A = $3,926.71

Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.

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3 years ago
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Step-by-step explanation:

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8 0
3 years ago
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What is the y-intercept of the line shown below if the slope is 0?
ioda

The y-intercept of the line that is shown if the slope is 0 is: 2.

<h3>What is the Y-intercept of a Graph?</h3>

The y-intercept of a graph is the value of y when x = 0, which is the point on the vertical axis (y-axis) where the line intercepts.

The graph given is an horizontal line having a slope value of 0. The equation of the line is therefore, y = 2.

Thus, from the given graph, the y-axis is intercepted by the line at y = 2. At this point where y = 2, the corresponding value of x is 0.

Therefore, the y-intercept of the line that is shown if the slope is 0 is: 2.

Learn more about y-intercept of a line on:

brainly.com/question/10700419

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2 years ago
10.5 divided by 1.25
zepelin [54]

Answer:

8.4

Step-by-step explanation:

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