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Anuta_ua [19.1K]
2 years ago
15

If f(x) is shifted 4 units to the left and 6 units up, what is the equAation of the resulting graphs

Mathematics
1 answer:
irina1246 [14]2 years ago
4 0

Answer:

f= (x-4, y+6) or f= (x-4),(y+6)

Step-by-step explanation:

* when you move to the left you are subtracting from x because eventually you'll get to the negatives, if you were going to the right you would add

* going up from y, you would be adding since the further up you go the higher positive number you'll get, if you were going down it would be subtracting from y

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Samantha has $300 for guitar lessons to learn her favorite song mr. Jones charges $800 per lesson and requires three lessons to
Ne4ueva [31]

Mr.Jones charges $800 per lesson and requires 3 lessons

That means mr Jones will charge Samantha 800x3 = $2400 in total.

Mr. Police charges $62 per lesson and requires 4 lessons,

62x4 = $248 in total.

Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.

IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON

In that case it would be 80x3 = $240 in total

mr jones would charge less now and it would be better deal for Samantha.

5 0
2 years ago
What is the height of a triangular prism that has a height of 9 meters and a base with the following deminsions 4m 14m
Andrew [12]

Answer:

252m^3

Step-by-step explanation:

A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:

V = AxH

V - volume

A- area

H - height of prism

We know that:

h = 4 m (side of base)

b = 14 (other base side)

A = bh/2 = 14x4/2 = 28 m^2

And then: V = A x H = 28 x 9 = 252 m^3

6 0
3 years ago
What is one way of writing 10-3?
Grace [21]
Greetings!

"10-3" can also be written as:
1) -3+10
2)10+(-3)

Hope this helps.
-Benjamin


4 0
2 years ago
Read 2 more answers
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

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

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
1 year ago
A temperature of 3225 °F will melt platinum. Gold melts at a temperature of 1947.974 °F.
sertanlavr [38]

Questions like this ("how much higher is x than y?") are answered by computing the ratio of the two quantities.

In fact, for example, the answer to "how much higher is 10 than 5?" is 2, because 10:5 = 2, and indeed 10 is twice as much as 5.

So, we have

\dfrac{3225}{1947.974}\approx 1.65

So, the melting temperature of platinum is about one time and a half higher than the melting temperature of gold.

4 0
2 years ago
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