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Naddika [18.5K]
3 years ago
14

A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points) Select one: a. y = 3 over 2x + 5 b.

y = 2 over 3x + 5 c. y = 3x + 2 d. y = 2 over 3x + 2
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

b

Step-by-step explanation:

Use the slope formula -

(9-7)/(6-3)= 2/3

y=2/3x+b

plug point in to get b

7=2/3(3) + b

7=2+b

5=b

y=2/3x+5

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A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati
Nuetrik [128]
<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

<h2>27x + 50 = y</h2>

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

<h2>y = 266</h2>

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

7 0
3 years ago
Use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.
Jlenok [28]

Answer:

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Step-by-step explanation:

A recursive function is one where each successive term is calculated using the previous term;

The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;

Hence, the correct option is the first.

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Step-by-step explanation:

You have to retain a certain amount of money

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You cannot take out more than $150 from that

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3 0
3 years ago
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gayaneshka [121]

Answer:

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Step-by-step explanation:

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Answer:

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