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3 years ago

Find the equation, in point-slope form, of the line that passes -3 and passes through the point (1,2). plz show your work.

1 answer:

4 0

Substitute the given values for the parameters in the point-slope form of the equation of a line. That form is
y - k = m(x - h)
for point (h, k) and slope m.

You have (h, k) = (1, 2) and m=-3, so your equation is
y - 2 = -3(x - 1)

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A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

$x + y = 27$ => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

$14x + 7y = 294$ => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × $x + y = 27$

1 × $14x + 7y = 294$

Thus:

$7x + 7y = 189$ => equation 3

$14x + 7y = 294$ => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

$x + y = 27$

$15 + y = 27$

Subtract both sides by 15

$y = 27 - 15$

$y = 12$

The ordered pair would be (15, 12)

7 0

2 years ago

for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranber

asambeis [7]

Answer:

Step-by-step explanation:

If two variables are proportional then

$y\propto x$

$y=kx$ ...(i)

where, k is constant of proportionality.

The given equation is

$s=4c$ ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: $x=c$

Dependent variable: $y=s$

Constant of proportionality: $k=4$

Therefore, the constant of proportionality is 4.

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2 years ago

otez555 [7]

Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.

5 0

3 years ago

Read 2 more answers

The solution to 4x + 7 - 9 = -14 is a0.

Alchen [17]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = − 3

Step-by-step explanation:

4 0

3 years ago

A professor believes the students in a statistics class this term are more creative than most other students attending the unive

djverab [1.8K]

Answer:

Correct option: B

Step-by-step explanation:

The professor can perform a One-mean t-test to determine whether the average score of the students in his class is more than the average score of all the students attending university.

A t-test will be used instead of the z-test because the population standard deviation is not provided instead it is estimated by the sample standard deviation.

The hypothesis for this test can be defined as follows:

H₀: The average score of the students in his class is not more then the entire university, i.e. μ ≤ 35.

Hₐ: The average score of the students in his class is more then the entire university, i.e. μ > 35.

Given:

$\bar x=40\\SE_{\bar x}=1.63$

The test statistic is:

$t=\frac{\bar x-\mu}{SE_{\bar x}}=\frac{40-35}{1.63}=3.0674\approx3.07$

Thus, the correct option is (B).

4 0

2 years ago