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Ierofanga [76]
3 years ago
14

the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function

Mathematics
1 answer:
galben [10]3 years ago
8 0
Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.


Step 1: Determine the ordered pair

To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).

To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).

Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.

Step 2: Determine how to find slope

The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.

To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.

Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!

Step 3: Write out final answer

Now that we eliminated all the invalid options, let’s write out our final option as our answer.

Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.


Hope this helps! Comment below for more questions.
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Answer:

88.6

Step-by-step explanation:

A=4(pi)r^2/3

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Digging a rectangular pool 42ft×29.5×8ft. Hauling truck holds 452.5 cubic feet of dirt. How many truck loads will it take to hau
kiruha [24]

It will take 22 truck loads to haul all the dirt away.

42×29.7×8=9912

9912÷425.5=42 truckloads

6 0
3 years ago
Which of the following statements are true? Select all that apply.
nlexa [21]
1. <span>true
example:
2+3=3+2
5=5

2. </span><span>true
</span>example:
3*4=4*3
12=12
<span>
3. false
</span>example:
6-3=3-6
3≠-3
<span>
4. </span><span>true
</span>example:
(4 + 3) + 2= 4 + (3 + 2)
7 + 2 = 4 + 5
9 = 9
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5. false
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(9 - 6) - 3 = 9 - (6 - 3)
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0 ≠ 6

6. true
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6 0
3 years ago
?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0
3 years ago
How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
8 0
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