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kkurt [141]
1 year ago
5

Given the linear function of 3x-7y=14, determine the ordered pair where the line crosses the y axis. Remember to write your answ

er in form (x,y)
Mathematics
1 answer:
mrs_skeptik [129]1 year ago
6 0

Answer:

(0, -2)

Step-by-step explanation:

The equation of y axis is x = 0. So, the y intercept is located at point (0, b). Therefore we can substitute 0 into x in the given equation to find b and hence the coordinates of the y intercept.

3x - 7y = 14

3*0 - 7y = 14

-7y = 14

y = -2

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Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros
Kitty [74]

The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

<h3>How to determine the factored form?</h3>

The given parameters are:

  • Leading coefficient, a = 1
  • Zeros = -3, -3, 4, and 2.

Rewrite the zeros as:

x = -3, x = -3, x = 4 and x = 2

Set the zeros to 0

x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0

Multiply the zeros

(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0

Express as a function

y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)

Substitute 1 for a

y(x) = (x + 3)²(x - 4)(x - 2)

Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

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8 0
2 years ago
Write the equation for (-2,3) and (3,-1)
Bumek [7]

Answer:

y = -4/5x + 7/5

Step-by-step explanation:

Use slope intercept form to find the equation for the line:

y=mx+b

y= -4/5x + 7/5

8 0
2 years ago
how many times can a rectangle be reflected across an axis of symmetry so that its carries onto itself
Ostrovityanka [42]
2 times, you can fold it without no overlapping on any line
3 0
3 years ago
Read 2 more answers
Import customs officials sometimes randomly select crates of cargo for close, but time-consuming, inspection. Suppose there are
Ostrovityanka [42]

<u>The simple random </u><u>sample</u><u> is </u><u>Cherryport</u><u>, Dallhoise, </u><u>Foxwood</u><u>, and </u><u>Sapphire</u><u>.</u>

What is the meaning of probability in math?

  • Probability is simply how likely something is to happen.
  • Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
  • The analysis of events governed by probability is called statistics.

Three Types of Probability

  • Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
  • Relative Frequency Definition
  • Subjective Probability.

the list of random digits from left to right, starting at the beginning of the list.

74803 12009 45287 71753 98230 66419 84533 11793 04951 20597 11384

The simple random sample is Cherryport, Dallhoise, Foxwood, and Sapphire.

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4 0
2 years ago
There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is no
ch4aika [34]

Answer: 9/16

Work Shown:

14 red + 10 yellow + 5 green + 3 purple = 32 total

(32 total) - (14 red) = 18 that aren't red

18/32 = 9/16 is the probability of picking something that isn't red.

8 0
2 years ago
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