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vlabodo [156]
3 years ago
13

Graph the function f(x) = - squared x + 2

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:

When

x=0,f(x)=0

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

x=2,f(x)=2^2=4

x=3,f(x)=3^2=9

x=4,f(x)=4^2=16

The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,

x=−1,f(x)=(−1)2=1*−1=1

x=2,f(x)=(−2)2=−2*−2=4

The graph of f(x)=x^2 is called a "Parabola." It looks like this:

You might be interested in
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
zepelin [54]

Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

Sample size = 400

We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = \sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02

Critical value = margin of error/ std error = \frac{0.04}{0.02} \\=2

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

6 0
3 years ago
Solve using inverse operations 83+q=125; q=
Vilka [71]

Answer:

42

Step-by-step explanation:

83+q=125

q=125-83

q=42

3 0
3 years ago
Which number is between 3.22 and 3.36? <br> A. 3.2<br> B. 3.93<br> C. 3.37
siniylev [52]

Answer:

a?

Step-by-step explanation:

5 0
3 years ago
Indicate an interval that is decreasing, and explain your reasoning.
leva [86]

Answer:

(-1,1) because -1 and 1 are not inclusive

Step-by-step explanation:

from x = -1 to x = 1, the y-value keeps decreasing from 4 to 2

there is another one, (3,5)

4 0
3 years ago
Solve the system of equations using substitution and Elimination
juin [17]
<h2>Greetings!</h2>

Answer:

y = \frac{-18}{7} and x = \frac{50}{7}

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply  need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = \frac{-18}{7}

Now plug \frac{-18}{7} into the second equation:

10x + 20(\frac{-18}{7}) = 20

10x - \frac{360}{7} = 20

Move the \frac{360}{7} over to the other side, making it a positive:

10x = 20 + \frac{360}{7}

10x = \frac{500}{7}

Divide both sides by 10:

x = \frac{50}{7}

So y = \frac{-18}{7} and x = \frac{50}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
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