All categories

3 years ago

What is the equation of the following line? (-3,1) and (0,0)

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

y = (1/3)x

Step-by-step explanation:

If the y-intercept is (0, 0), then y = mx + b becomes y = mx.

Seeing that y increases by 1, going from (-3, 1) to (0, 0), and that x increases by 3, we determine that the slope, m, is 1/3.

The equation of this line is therefore y = (1/3)x.

You might be interested in

All the following are equivalent except d=rt dr=r d/t=r d/r=t

Andreas93 [3]

Answer:

dr=r is not equivalent

8 0

3 years ago

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4

Softa [21]

Answer:

Step-by-step explanation:

f(x) = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4 = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

5 0

3 years ago

There were 20 dogs and 30 cats at an animal shelter last month. Since then, the number of dogs in the shelter

Softa [21]

Answer:

There is a 4% decrease

Step-by-Step:

if the previous total was 50, then each animal represents 2%. 50*2=100. if you are increasing the dogs by 20% of 20, then you are increasing them by 4 equaling out to 24 dogs. If your decreasing the cats by 20% of 30, then you are decreasing them by 6 equaling out to 24 cats. The new total of animals is now 48. Seeing how each animal still represent 2%, the new percentage is 96%. Subtracting the previous percentage from the new percentage gives a 4% difference.

50 * 2 = 100%

20 * 1.2 = 24

20 * .8 = 24

24 + 24 = 48

48 * 2 = 96%

100% - 96% = 4%

4 0

3 years ago

Read 2 more answers

The function f(x) = 3,005(1 + 0.03)x represents the amount of money in a savings account where x represents time in years. What

Damm [24]

Answer:

Principal or Initial Amount of Money

Step-by-step explanation:

Given, f(x) = 3005(1+0.03)^x.

Now, comparing with f(x)= ab^x where

a = initial value

b = rate of growth

x = time or period

This, function is an exponential growth function. So by comparing we get a= 3005 which is the initial value b = 0.03.

But in this case according to the question, the function f(x)= 3005(1+0.03)^x represents the amount of money in a savings. So the answer is 3005 which is the initial money.

7 0

3 years ago

The average outstanding bill for delinquent customer accounts for a national department store chain is $187.50 with standard dev

SpyIntel [72]

Answer:

Probability that the mean outstanding bill is over $200 is 0.0526.

Step-by-step explanation:

We are given that the average outstanding bill for delinquent customer accounts for a national department store chain is $187.50 with standard deviation $54.50.

Also, a random sample of 50 delinquent accounts is selected.

<em>Firstly, Let </em> $\bar X$ <em> = mean outstanding bill</em>

The z score probability distribution for is given by;

Z = $\frac{ \bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = average outstanding bill = $187.50

$\sigma$ = standard deviation = $54.50

n = sample of delinquent accounts = 50

Probability that the mean outstanding bill is over $200 is given by = P( $\bar X$ > $200)

P( $\bar X$ > 200) = P( $\frac{ \bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{ 200-187.50}{\frac{54.50}{\sqrt{50} } }$ ) = P(Z > 1.62) = 1 - P(Z $\leq$ 1.62)

= 1 - 0.94738 = 0.0526

Therefore, probability that the mean outstanding bill is over $200 is 0.0526.

5 0

4 years ago

Read 2 more answers