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elixir [45]
3 years ago
10

using a single graph paper and the same axes draw the graph of the following equation x-y+1=0 and 3x+2y=12

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

Answer:

See attachment

Step-by-step explanation:

We want to graph the following equation:

x-y+1=0

and

3x+2y=12

For the first equation: x-y+1=0

When x=0, we have 0-y+1=0---->y=1

We plot the point (0,1)

When y=0, we have x-0+1=0---->x=-1

We plot (-1,0)

We draw a straight line through these two points to get the graph of this line.

For the second equation: 3x+2y=12

When x=0,y=6. So we plot (0,6)

When y=0, x=4, So we plot (4,0)

We draw another straight line through them to obtain the graph in the attachment.

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Can anyone help please?
katen-ka-za [31]

Answer:

  • A'(-3, 12)
  • B'(9, 6)
  • C'(-6, -6)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

For dilation factor k, the new coordinates are ...

  (x, y) ⇒ (kx, ky)

Your dilation factor is 3, so the transformation is ...

  (x, y) ⇒ (3x, 3y)

  A(-1, 4) ⇒ A'(-3, 12)

  B(3, 2) ⇒ B'(9, 6)

  C(-2, -2) ⇒ C'(-6, -6)

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2 years ago
A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
seropon [69]
We need the rest of the question :)
6 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

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3 years ago
Which of the following properly describe "slope"? Select all that apply.
blondinia [14]

Answer:

I would assume you're referring to this test? if so the answer is

a, d and e

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Can somebody help me please?
Nina [5.8K]

Answer:

it's a that's the answer

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