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3 years ago

Toby writes an exponential function f(x) that meets the following two conditions:

1 answer:

5 0

II. f(x) doubles for each increase of 1 in the x values. Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes f(x) = a*2^x. Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.

Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)

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DO,H = (7, 9) (14, 18) The scale factor is _____. 1/2 2 4 7/9

lana [24]

ANSWER

The scale factor is 2.

EXPLANATION

The point H(7,9) is dilated about the origin and the image is (14,18).

Let the scale factor be k.

Then,

$(7,9)\to (7k,9k)$

Comparing to the given image, we have:

$(7k,9k) = (14,18)$

This implies that,

$7k = 14$

Divide by 2

$k = 2$

$9k = 18$

$k = 2$

4 0

3 years ago

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

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3 years ago

A city has designed a survey to collect information about residents’ opinions about city services. Which of the following descri

Maslowich

Bias refers to scenarios which might affect the ability of a statistical experiment to generalize, hence affecting the validity of research. Non-response bias occurs when majority of subjects fail to respond during a survey. Hence, a likely scenario is ; surveys were mailed to 500 people, and 200 of the surveys were completed and returned.

Non - response bias has to do with a situation whereby a large percentage of the selected samples from a population do not respond or fail to participate in the experiment or survey.

If 200 surveys were returned, then 300 of the sample participants did not respond. Which means 60% of the sample are non-responsive.

Therefore, a scenario where surveys were mailed to 500 people, and 200 of the surveys were completed and returned exemplifies a non - response bias.

Learn more :brainly.com/question/18405415

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3 years ago

Write and Solve a real world problem in which the part of a whole results in a number greater than the whole itself

Agata [3.3K]

That's not physically possible, but this is what I got:

Draegast had gained 2/3 times as many subscribers as he had before overnight. He had 20/36 as many subs as Pewds. He has 40,000,000 subs.

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3 years ago

PLZZ HELP URGENT!!! In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk

daser333 [38]

The proportion of the cocktail is 2/3