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2 years ago

What is the slope-intercept form of the function described by this table?

Mathematics

1 answer:

Mila [183]2 years ago

8 0

Answer:

y=5x+3

Step-by-step explanation:

You have the points (1,8) (2,13) (3,18) (4,23)

first you want to find the slope. The equation to find a slope is y2-y1 / x2-x1

your points (1,8) and (2,13) are really all you need

1 would be your x1 and your 2 would be your x2.

8 would be your y1 and 2 your y2

so you want to plug those into your equation y2-y1/x2-x1

13-8 /2-1 you get 5/1

Simplify your answer is 5 for your slope

Now finding the y intercept or "b" I normally just find the pattern of the sequence so in this case when you add one to the top your adding five to the bottom like

x 1 2 3 4

y 8 13 18 23

so to get to your y intercept which is (0,y)

subtract 1 from the top to get zero and subtract 5 from the bottom to get 3 so your y intercept is 3.

Hope this helps.

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Mindy buys 12 cupcake. Nine of the cupcake have chocolate frosting and the resy have vanilla frosting. What fraction of the cupc

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3 years ago

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I need to find out how long it takes him to hit the water

bearhunter [10]

Answer:

1.26

Step-by-step explanation:

When he hits the water, the height will be 0. Substitute h=0.

$0 = -16t^2+2t+23$

Solve using the quadratic equation.

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$

Substitute a = -16, b=2, and c=23.

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Since time in seconds must be positive then 1.26 is the solution.

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4 years ago

Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft drink, and 48 percent order b

Zolol [24]

Answer: No, the orders are not independent.

Step-by-step explanation:

If event 1 has some possible outcomes, suppose that we choose a given outcome 1 with a probability P1, and event 2, also with different possible outcomes, we can select an outcome 2, that has a probability P2, and the two events are independent (meaning that the outcome in event 1 does not affect the outcome in event 2, and vice versa)

Then the probability of outcome 1 and outcome 2 happening at the same time is equal to the product of their individual probabilities.

P = P1*P2.

In this case, event 1 is the selection of the pizza, and outcome 1 is the selection of the square pizza, with a probability of 55%.

Event 2 is the selection of the drink, outcome 2 is the order of a soft drink, with a probability of 72%.

If those two events were independent, then the probability that a customer orders a square pizza and a soft drink would be:

P = 0.55*0.72 = 0.396 (or 39.6%)

But we know that the actual probability is 48%.

So this is larger, which means that the outcomes are not independent.

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3 years ago

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Answer:

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