Answer is C. 7:42
Because the numbers from the ratio 3:18 , 18/3 is 6
And from the ratio 7:42, 42/7 is also 6
Because the difference in the ratios are the same, the ratios are equivalent
Another way is that 3:18 can be rewritten as 3/18 which is simplified to 1/6. 7:42 = 7/42 which also equals 1/6.
Both ratios simplified equal 1:6.
None of the other answers simplify to this but C.
Pls Mark Brainliest and have a nice day
<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:
67.029 cm ³
Step-by-step explanation:
Volume of cone = ¹/³ πr²h
π= 3.142 , r = diameter /2 so r =2cm , height (h) = 16cm
so V = ¹/³ π x (4) x 16
V = 62.029cm³
If you would like to know the equality of the expression 4 * x/5 - 2 * x/5, you can calculate this using the following steps:
<span>4 * x/5 - 2 * x/5 = (4 - 2) * x/5 = 2 * x/5
</span>
The correct result is 2 * x/5, which is none of the results written above.
