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Irina18 [472]
4 years ago
6

Which is a zero of the function defined by the following equation: f(x)= 5x-20

Mathematics
2 answers:
Step2247 [10]4 years ago
7 0
So, if you graph it, the y-intercept is at -20 and the slope is 5. It will hit your zero(s) at the x-intercept of x=4
kykrilka [37]4 years ago
5 0
F(x) = 5x - 20
5x - 20 = 0
<u>    + 20  + 20</u>
       <u>5x</u> = <u>20</u>
        5      5
         x = 4
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For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range. (2 points)
Leto [7]

Answer:

okay

vertex:(2,4)

domain: (-∞,∞)

range: [4,∞)

Step-by-step explanation:

to find the vertex from the equation

f(x) = (x − 2)² + 4

an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.

to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.

lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.

ps i hope this helps.

3 0
3 years ago
In a random sample of 80 teenagers, the average number of texts handled in one day is 50. The 96% confidence interval for the me
Naily [24]

Answer:

Standard deviation of the sample = 17.421

Step-by-step explanation:

We are given that in a random sample of 80 teenagers, the average number of texts handled in one day is 50.

Also, the 96% confidence interval for the mean number of texts handled by teens daily is given as 46 to 54.

So, sample mean, xbar = 50  and   Sample size, n = 80

Let sample standard deviation be s.

96% confidence interval for the mean number of texts,\mu is given by ;

    96% confidence interval for \mu = xbar \pm 2.0537*\frac{s}{\sqrt{n} }

                              [46 , 54]           = 50 \pm 2.0537*\frac{s}{\sqrt{80} }

Since lower bound of confidence interval = 46

So,  46 = 50 - 2.0537*\frac{s}{\sqrt{80} }

       50 - 46 = 2.0537*\frac{s}{\sqrt{80} }

            s = \frac{4*\sqrt{80} }{2.0537} = 17.421

Therefore, standard deviation of the sample is 17.421 .

3 0
4 years ago
What is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?
viktelen [127]

Answer:

The equation of the line will be:

y=-\frac{1}{2}x-6

Step-by-step explanation:

Given

  • slope = m = -1/2
  • point (4, -8)

Point slope form:

y-y_1=m\left(x-x_1\right)

substituting the values m = -1/2 and the point (4,-8)

y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)

y+8=\frac{-1}{2}\left(x-4\right)

subtract 8 from both sides

y+8-8=\frac{-1}{2}\left(x-4\right)-8

y=-\frac{1}{2}x-6

Therefore, the equation of the line will be:

y=-\frac{1}{2}x-6

4 0
3 years ago
| How many different arrangements of the word<br> PARRAMATTA are possible?
marysya [2.9K]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
Name the smallest even number divisible by 6 and 9.
Step2247 [10]

Answer:

18

Step-by-step explanation:

5 0
2 years ago
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