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2 years ago

The slope of the line below is -. Write the point-slope equation of the line using the coordinates of the labeled point.

Mathematics

2 answers:

Lady_Fox [76]2 years ago

7 0

B.

It uses the proper slope and has the 4's subtracted, which is proper for point-slope form.

tamaranim1 [39]2 years ago

5 0

Answer:

B) y - 4 = -8/7(x - 4)

Step-by-step explanation:

Point-slope form is

$y-y_1= (x-x_1)$ , where m is the slope and (x₁, y₁) is a point on the line.

In our problem, m, our slope, is -8/7.

The point that our line passes through, (x₁, y₁), is (4, 4).

Plugging these in gives us

y - 4 = -8/7(x - 4)

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The city of Raleigh has 9,200 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

sukhopar [10]

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

$p' = \frac{65}{200} = 0.325$

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

7 0

2 years ago

A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How m

anzhelika [568]

Answer:

The first month new members have to pay 188 dollars for the membership.

The equation is 160x+28=y

x stands for the number of months and y stands for the total cost.

For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.

7 0

2 years ago

Read 2 more answers

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variab

Viefleur [7K]

Answer:

log(x^7·y^2)

Step-by-step explanation:

The applicable rules are ...

... log(a^b) = b·log(a)

... log(ab) = log(a) +log(b)

_____

The first term, 7log(x) can be rewritten as log(x^7). Note that an exponentiation operator is needed when this is written as text.

The second term 2log(y) can be rewritten as log(y^2). These two rewrites make use of the first rule above.

Now, you have the sum ...

... log(x^7) +log(y^2)

The second rule tells you this can be rewritten as ...

... log(x^7·y^2) . . . . . seems to match the intent of the 3rd selection

5 0

2 years ago

Help .. A. 600, 0 B. 50, 350 C. 0, 500

Len [333]

Answer:

C.0, 500

Step-by-step explanation:

6 0

2 years ago

Maitri and Aabhas do a work in 12 hours.

tamaranim1 [39]

Answer:

See below ~

Step-by-step explanation:

Given

Maitri and Aabhas do a work in 12 hours
Aabhas and Kavya do the work in 15 hours
Kavya and Maitri do the work in 20 hours

Solving

Take Maitri, Aabhas, and Kavya to be x, y, z respectively
x + y = 12 (1)
y + z = 15 (2)
x + z = 20 (3)

Take Equation 1 and rewrite it so that it is equal to x.

x = 12 - y

Take Equation 2 and rewrite it so that it is equal to z.

z = 15 - y

Now, substitute these values in Equation 3.

x + z = 20
12 - y + 15 - y = 20
-2y + 27 = 20
2y = 7
y = 7/2 = 3.5 hours [Aabhas]

Substitute the value of y in Equation 1.

x + 3.5 = 12
x = 8.5 hours [Maitri]

Substitute the value of y in Equation 2.

3.5 + z = 15
z = 11.5 hours [Kavya]

Add the values of x, y, and z together.

x + y + z
8.5 + 3.5 + 11.5
12 + 11.5
23.5 hours [together]

8 0

1 year ago