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jasenka [17]
3 years ago
14

What is the graph of f(x)= 2x^2

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
Since this is a fairly small equation, it's pretty easy to plug in a few points to get ordered pairs and sketch a graph:

when x = 0...
f(0) = 2(0)^2
f(0) = 0
(0, 0)

when x = 1...
f(1) = 2(1)^2
f(1) = 2
(1, 2)

when x = -1...
f(-1) = 2(-1)^2
f(-1) = 2
(-1, 2)

from there, you can get a rough sketch of the graph just by plotting those points. essentially, it just looks "skinnier" than your typical parabola because the 2 out front makes the curve steeper.
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Write 54 + 63 as the product of the GCF of 54 and 63 and another sum
levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>54+63 = 9*(6+7)</em>

<em>117 = 9*13</em>

<em>117 = 117 </em>

<em>The results are equal so we prove it is right.</em>

8 0
3 years ago
Read 2 more answers
I am stuck on this question of my maths test.
V125BC [204]

Answer:

angle y

58 + 38 + y = 180 (angle sum property)

96 + y = 180

y = 180 - 96

y = 84

angle x

x = 29 (58/2)

(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)

the values of x = 29 and y = 84

6 0
3 years ago
What is the ratio 1.12 turned in to a fraction in simplest form?
vagabundo [1.1K]
1.12=1 12/100=1 3/25 
         or 28/25
4 0
3 years ago
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm
FrozenT [24]

Answer:

a) P(1

b) P(X

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

X \sim N(1.5,0.8)  

Where \mu=1.5 and \sigma=0.8

We are interested on this probability

P(1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(1

And we can find this probability on this way:

P(-0.625

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.625

3) Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(z

6 0
3 years ago
Heather bought a CD on sale for $11 and a book that cost $14 the sales tax rate is 5% how much tax did Heather pay for both item
Travka [436]
Add 11 and 14 = 25. Then change 5% to a decimal or .05. 25 x .05= $1.25 this is the tax. Add $25 to $1.25. Answer is $26.25
3 0
3 years ago
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