1,800 socks
Johnny has 800 and John has 1000 more, so you would add the two numbers to get the answer of 1,800 socks.
<span>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)
</span>
Answer:
Factors that will affect the weight of box and those which will not affect the weight have been described below under different headings-
Step-by-step explanation:
Factors affecting weight of the box -
- Size - the larger the will be the size of the box, more will be its weight.
- Material - the material used to make the box will also influence the weight because if lighter material is used then the weight of the box will be less as compared to the heavier material.
- Contents inside the box - if there are more contents filled in the box then it will increase the weight of box.
Factors that will not affect the weight of box -
- Colour - whatever be the colour of box, weight will not be influenced by it.
- Shape - the shape will also have no effect on weight cause it only denotes how the material is arranged to make the box.
- Design/Graphics - designs made on the box to make it more attractive will also have no effect on the weight of the box.
Answer:
645/100 = 129/20 or 6.45
645/50 = 129/10 or 12.9
48.6/30 = 1.62
48 divided by x = 48.6/x
Step-by-step explanation:
645/100
Factor the number:
= 5*129/100
Factor the number:
= 5*129/5*20
Cancel the common factor:
= 129/20
645/50
Factor the number:
5*129/50
Factor the number:
5*129 / 5*10
Cancel the common factor:
= 129/10
48.6/30
Write the problem in long division format
Multiply the quotient digit (1) by the divisor (30)
Subtract 30 from 48
Add a decimal and bring down the next number
Divide 186 by 30 to get 6
Continue...A few steps later...
Subtract 60 from 60
Solution is 1.62
48.6/x
Re-write division as a fraction:
48.6/x
Answer:
The answer is A
Step-by-step explanation:
I draw a graph
