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STatiana [176]
3 years ago
5

Write the equation that describes the line with slope = 1 and y-intercept= 5/2 in slope-intercept form.

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer: y=x+5/2

Step-by-step explanation:

using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.

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A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?
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I believe that the manatee can swim 5 miles per hour

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Given f(x) = x3 - x2 + 4x - 1 and<br> g(x) = -2x, find lim g(f(x))<br> X-2
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6 0
3 years ago
Assume that y varies directly with x. If y = -5 when
steposvetlana [31]

Answer:

Thus, the value of x = -36 when y = 15

Step-by-step explanation:

We know that if y varies directly with x, we can express the relationship such as

y ∝ x

y = kx

k = y/x

where 'k' is called constant of variation.

Given

y = -5

x = 12

Using the equation

k = y/x = -5/12

Thus, the value of k = -5/12

Finding x when y = 15

y = 15

k = -5/12

substituting y = 15 and k = -5/12 in the equation

y = kx

15 = -5/12 (x)

15×12 = -5x

180 = -5x

divding both sides by -5

-5x/-5 = 180/-5

x = -36

Thus, the value of x = -36 when y = 15

8 0
3 years ago
Order the following numbers from least to greatest<br> numbers:1 8/25,1.3,5/4
Brut [27]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putt
sweet [91]

Answer:

No. of times Ellen draws a blue marble = 120

Step-by-step explanation:

No. of red marbles = 3

No. of blue marbles = 2

\text{Probability of drawing a blue marble = }\frac{\text{No. of possible outcomes}}{\text{Total no. of outcomes}}\\\\P(B)=\frac{2}{5}\\\\No. of draws (n) = 300\\\text{So, total probability = }n\times P(B)\\\\=100\times \frac{2}{5}=120.

So, the required probability is 120.

7 0
3 years ago
Read 2 more answers
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