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hram777 [196]
3 years ago
8

How to figure out the equation for this graph?

Mathematics
1 answer:
EastWind [94]3 years ago
3 0

9514 1404 393

Answer:

  y = x² -6

Step-by-step explanation:

It helps to remember what the coordinates of a point on a graph mean.

  (x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis

If we subtract 6 from the y-value, the point will move down on the graph by 6 units.

__

The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...

  (x, y) = (x, x²)

When we subtract 6 from the y-value, the points become ...

  (x, x² -6)

That is, the new (shifted) value of y is ...

  y = x² -6

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How do you write n over 3 -5 in a word phrase
liraira [26]

I believe its

n over three negative five

3 0
3 years ago
A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
MatroZZZ [7]

Answer:

Top top right graph is the correct answer.

Step-by-step explanation:

If the crew bought 30 gallons of paint and used 3 gallons per hour, they would run out in 10 hours. The only graph that shows this is the top right graph.

<u>Check</u>

3 x 10 = 30

^^My answer is correct ;)

3 0
3 years ago
In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
ad-work [718]

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

Answer: (a) 0.089 ≤ μ ≤ 0.171

(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}

X = 0.13

s = \sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }

s = 0.029

The degrees of freedom is

N - 1 = 7 - 1 = 6

And since the confidence is of 99%:

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The t-test statistics for t_{6,0.005} is 3.707

(Value found in the t-distribution table)

Now, calculate Error:

E = t_{6,0.005} . \frac{s}{\sqrt{N} }

E = 3.707. \frac{0.029}{\sqrt{7} }

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

7 0
3 years ago
Solve the proportion. <br> 16<br> 50<br> =<br> x<br> 156<br> .<br> 25<br> please explain
Natali5045456 [20]
<h2><u>Answer:</u></h2>

x = 50

<h2><u>Step-by-step explanation:</u></h2>

16/50 = x/156.25

<h3>First simplify 16/50 to 8/25</h3>

8/25=x/156.25

<h3>Multiply both sides by 156.25</h3>

1250/25 = x

<h3>Simplify 1250/25 to 50</h3>

50 = x

<h3></h3>
4 0
3 years ago
A culture started with 1,000 bacteria. After 3 hours, it grew to 1,100 bacteria. Predict how many bacteria will be present after
ss7ja [257]
The general equation for exponential growth can be written as:
x_{t} = x_{0} (1+r)^{t}
where r is the growth rate.
Plugging in the given values, we get:
1100=1000(1+r)^{3}
Therefore
(1+r)^{3}=1.1
giving
1+r= \sqrt[3]{1.1} =1.0323
The predicted number of bacteria after 17 hours is given by:
1000(1.0323)^{17}=1716
5 0
3 years ago
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