What is k+m over -7 = n, for k equal?

Evaluate this expression what is b=-6 and c=7.c-7b

VLD [36.1K]

Answer:

49

Step-by-step explanation:

substitute b = - 6 and c = 7 into the expression and evaluate

c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49

7 0

3 years ago

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the

FrozenT [24]

Answer:

$\frac{48+5j}{j}$

Step-by-step explanation:

Complete Question:

Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?

Solution:

The fare was $48 and including Angela, there were j people, so each paid:

48/j

Also, Angela paid $5 additionally.

So, Angela paid:

48/j --- when dividing evenly

5 --- as a tip

Total Angela Paid: $=\frac{48}{j}+5\\=\frac{48+5j}{j}$

Total Payment: $\frac{48+5j}{j}$

8 0

3 years ago

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As accounts manager in your company, you classify 75% of your customers as "good credit" and the rest as "risky credit" dependin

Elena-2011 [213]

Answer:

The percentage of overdue accounts are held by customers in the "risky credit" category is 62.5%

Step-by-step explanation:

Customers in the "risky" category (25% of total accounts) allow their accounts to go overdue 50% of the time on average.

That means that on average, 12.5% of total accounts is overdue.

0.25*0.50 = 0.125

In the "good credit" category only 10% goes overdue. That means 7,5% of total accounts goes overdue in this category.

0.75*0.10=0.075

The total accounts that go overdue is 0.125+0.075 = 0.200.

The percentage of overdue accounts held by customers in the "risky credit" category is:

0.125/0.200 = 0.625 or 62.5%

4 0

3 years ago

1)The table below represents a linear function f(x) and the equation represents a function g(x):

irga5000 [103]

1)The table below represents a linear function f(x) and the equation represents a function g(x):

x y
-1 -11
0 -1
1 9

g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x y
1 0
1 -1
2 1
2 -2

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p output, f(p)

6 -6 + 6 = 0

So the ordered pair is (6,0)

6 0

3 years ago

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Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4

Vanyuwa [196]

Answer:

f(x) = 0.2x - 4 (incorrect)

f(x) = 0.5x + 2 (correct)

f(x) = 1/2x + 2 (correct)

y – 3 = 1/2(x – 2) (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

Step 1 : Find two coordinates

(0, 2) (-4, 0)

Step 2 : Find the slope

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

Step 3 : Find the y-intercept

Y-intercept is where the line intersects the y-axis

c = 2

Step 4 : Form the equation y=mx + c

Given Equations and their slope intercept forms:

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

6 0

3 years ago

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