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3 years ago

Find the slope given the points (-6,1) and (3,5)

Mathematics

2 answers:

Rom4ik [11]3 years ago

4 0

Answer:

m= 4/9

Explanation:

find the slope between your two points.

(−6,1);(3,5)

(x1,y1)=(−6,1)

(x2,y2)=(3,5)

Use the slope formula:

m= y2−y1 /x2−x1

= 5−1 /3−6

= 4 /9

alekssr [168]3 years ago

3 0

Y2-y1 divides by x2-x1 = 4/9

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Which function describes the arithmetic sequence shown?

Lynna [10]

f(x)= -2x-3

Step-by-step explanation:

Step 1:

Let the sequence given here is -5, -7, -9, -11, -13 ......

Here the first term (a₁) of sequence is -5

And the common difference between the numbers in the sequence is

d= (-7-(-5)) = -7+5 = -2

Let the number of terms be x

Step 2;

To find the sequence function basic arithmetic sequence formula is

aₙ = a₁ + d( x-1)

Applying the values we get

f(X) = -5 + ((-2)(X-1))

on simplification

f(X) = -5 + (-2X+2)

f(X)= -5+2-2X

f(X)= -3-2X

8 0

3 years ago

An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 7100 dollars. If she earns a total of 90400

photoshop1234 [79]

90,400-7,100=83,300

83,300/12=6,941.66667

Monthly Salary Rounded: 6,941.67

5 0

3 years ago

If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an

Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

$\frac{8}{40}*100=20\%$

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0

3 years ago

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?

pickupchik [31]

The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$(9,8) \\
x_1=9 \\ y_1=8 \\ \\
(-1,-2) \\
x_2=-1 \\ y_2=-2 \\ \\
\frac{x_1+x_2}{2}=\frac{9-1}{2}=\frac{8}{2}=4 \\
\frac{y_1+y_2}{2}=\frac{8-2}{2}=\frac{6}{2}=3$

The midpoint of AB is (4,3).

5 0

2 years ago

Read 2 more answers

Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay

LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value

P = Present value

R = interest rate

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745 = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0

2 years ago

Read 2 more answers