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Karo-lina-s [1.5K]
3 years ago
5

Which equation has an x-intercept of (4,0) and a y-intercept of (0,-6)

Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer: y= 1.5x-6

Step-by-step explanation:

1) Find the slope by using change in y over change in x: \frac{-6-0}{0-4}

2) Then use the y intercept from the given: -6

3) create an equation in slope intercept form using those factors: y= 1.5x-6

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4v^2 + 8v + 5 = 10 What would I add to this equation to create a perfect square?
Dvinal [7]

Answer:

v₁ = 2.5; v₂ = 0.5.

Step-by-step explanation:

4v² + 8v + 5 = 10

4v² + 8v + 5 - 10 = 10 - 10

4v² + 8v - 5 = 0

D = 8² - 4 · 4 · (-5) = 64 + 80 = 144

v_{1} =\dfrac{-8-\sqrt{144} }{2 \cdot 4} =\dfrac{-8-12 }{8} =\dfrac{-20}{8} =-2.5\\\\v_{2} =\dfrac{-8+\sqrt{144} }{2 \cdot 4} =\dfrac{-8+12 }{8} =\dfrac{4}{8} =0.5\\\\

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3 years ago
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Step-by-step explanation:

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2 years ago
Which of the following represents the characteristics of the graph of x ≥ -9 1.) closed circle on -9 and shaded to the left 2.)
Harrizon [31]

Answer:

Closed circle on -9 and shaded to he right

8 0
3 years ago
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish
natka813 [3]

Complete question is;

Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, and 12 minnows in her lab. What is P(salamanders).

Answer:

P(salamanders) = 0.25

Step-by-step explanation:

We are given;

number of salamanders = 5

number of crayfish = 3

number of minnows = 12

total number of animals; n = 5 + 3 + 12 = 20 animals

Now, we want to find out the probability that the animal Leslie randomly selected is a Salamander.

Thus,

P(salamander) = number of salamanders/total number of animals

P(salamander) = 5/20

P(salamander) = ¼ = 0.25

4 0
3 years ago
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