Answer:
Malcom's average speed was 16 miles/hour.
Step-by-step explanation:
Given:
Distance from moon ridge to me tone = 32 miles.
Now including returned back journey.
So we can say that.
Total distance traveled = 
Also Given:
Time taken to travel total distance = 4 hours.
We need to find the average speed in miles per hour.
Solution:
Now we know that;
average speed is equal to Total distance traveled divided by Total time taken to travel the total distance.
framing in equation form we get;
average speed = 
Hence Malcom's average speed was 16 miles/hour.
Answer:
Step-by-step explanation:
The integers are: x, x+2
Them, x + x+ 2 = 36
2x +2 = 36
<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: 7
Step-by-step explanation:
To find the absolute minimum we must first take the derivative of the function and find where it equals zero. From there we can use the first derivative test to find where our possible minimum is. We then will test each endpoint and compare for the minimum for this function.
The lowest value is 7. The absolute minimum of this function is 7. If you were to graph it, we'd see that the graph reflects that as well.
Answer:
(-2,3)
Step-by-step explanation:
Given data
the system of linear equation is presented as
3x+5y=9-----1
2x+3y=5-----2
solve simultaneously
3x+5y=9-----1 X 2
2x+3y=5-----2 X3
subtracting 2 from 1
6x+10y=18
-6x+9y=15
0x+y=3
y= 3
put y= 3 in 1
3x+5(3)=9-----1
3x+15=9
3x= 9-15
3x= -6
x= -6/3
x= -2
Hence the ordered pair is (-2,3)
