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Katarina [22]
3 years ago
15

Write the equation of a line with a slope of 2/3 going through the point (-15, -22)

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

y=(2/3)(x+15)-22

Step-by-step explanation:

You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.

Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.

y=(2/3)(x-(-15)) + (-22)

y=(2/3)(x+15)-22

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What are you converting it to/from?
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3 years ago
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A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204
grandymaker [24]

Answer:

x+y=12

21.50x+14.75y=204

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

x+y=12

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 21.50x and cost of y children's ticket will be 14.75y. We can form the second equation by setting the total cost of tickets as:

21.50x+14.75y=204

Therefore, the required system of equations that could be used to find x and y will be:

x+y=12

21.50x+14.75y=204

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3 years ago
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In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 24 items is selected
nikitadnepr [17]

If the sample size of population is 24 then the number of degrees of freedom for reading the t  value is 23 which is option c.

Given sample size of 24,mean 23.

We have to determine the number of degrees of freedom which will be used to find the critical values of t.

Degree of freedom is the number of values in the final calculation of a statistic that are free to vary means that can change their values in the formula of calculating t.

t=(X-μ)/s/\sqrt{n}

where X is sample mean ,

μ is hypothsised population mean

s is sample standard deviation

n is sample size.

Degree of freedom=n-1

In this question n is 24 so the degree of freedom =24-1=23.

Hence the number of degrees of freedom for reading the t value is 23.

Learn more about degree of freedom at brainly.com/question/17305237

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5 0
2 years ago
Which of the following is NOT a right triangle congruency?
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4 years ago
What is the explicit rule for this geometric sequence? a1=-15;an=1/5•an-1
Ad libitum [116K]

Answer:

Option A is correct.

a_n =-15 (\frac{1}{5})^{n-1}

Step-by-step explanation:

Given: a_1 = -15 ; a_n = \frac{1}{5} \cdot a_{n-1}

for n = 2

a_2 = \frac{1}{5} \cdot a_{2-1} = \frac{1}{5}\cdot a_1 = \frac{1}{5} \cdot (-15)

for n =3

a_3 = \frac{1}{5} \cdot a_{3-1} = \frac{1}{5} \cdota_2= (\frac{1}{5})^2\cdot (-15)

Simlarly , for n =4

a_3 = \frac{1}{5} \cdot a_{4-1} = \frac{1}{5}\cdot a_3= (\frac{1}{5})^3\cdot (-15)

and so on...

Common ratio(r) states that for a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term.

we have;   r = \frac{a_2}{a_1} = \frac{1}{5}

Now; by recursive formula for geometric series:

a_n = a_1 r^{n-1}

where a_1 is the first term and r is the common ratio:

Substitute the value of a_1 = -15  and  r = \frac{1}{5}

we have;

a_n =-15 (\frac{1}{5})^{n-1}

therefore, the explicit rule for the geometric sequence is; a_n =-15 (\frac{1}{5})^{n-1}

3 0
4 years ago
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