All categories

2 years ago

What is the function of this

Mathematics

1 answer:

jolli1 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

This is a linear function (a line), meaning it can be modeled in the form y=mx+b.

Taking two points that lie on the line, say (-1, 2) and (3, -1),

m=(-1-2)/(3-(-1))=-3/4.

So we have y=(-3/4)x+b.

Substituting in the point (-1, 2), we get that 2=(-3/4)(-1)+b

2 = 3/4 + b
b = 5/4

Therefore, y=(-3/4)x + 5/4.

You might be interested in

Find the dimensions of a rectangle

gayaneshka [121]

The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84

4 0

1 year ago

Data Entry - No Scoring During your procedure to determine the uncalibrated volume near the stopcock of your buret, what was the

DaniilM [7]

Answer:

0.025 grams

Step-by-step explanation:

The water in the stopcock has a volume of 25 mL initially, After that, the whole water was drained out. So we have:

Volume of drained water = (25 mL)(1 x 10⁻⁶ m³/1 mL)

Volume of drained water = 25 x 10⁻⁶ m³

Density of drained water = 1000 kg/m³

So, for the mass of drained water:

Density of drained water = Mass of drained water/Volume of drained water

Mass of drained water = (Density of drained water)(Volume of drained water)

Mass of drained water = (1000 kg/m³)(25 x 10⁻⁶ m³)

<u>Mass of drained water = 0.025 gram</u>

Density

4 0

3 years ago

An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th

lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

$P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}$

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

$P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}$

Finally, the probability of picking two balls of the same colour is

$P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}$

7 0

2 years ago

Please hurry it almost due

kolezko [41]

Answer: -18 - -18

Step-by-step explanation: Aka negative eighteen minus negative eighteen

5 0

2 years ago

-10x^2-4x+2=0 real number solutions

s344n2d4d5 [400]

Answer:

2 real solutions

Step-by-step explanation:

a=-10, b=-4, c=2

(-4)^2-4x(-10)x2=96

8 0

2 years ago