Answer:
The graph should be stretched rather than become narrower.
Step-by-step explanation:
To figure this out, just create some example points.
At x = 0, your y-value will always be 0. But if you were to plug in the value 1, you would get a y-value of 1 in y=x^2, but a value of 0.5 in y=0.5x^2. If you were to plug in a value of 2, you would get a value of 4 in y=x^2, but a value of 2 in y=0.5x^2.
If you continue this pattern for a few more points, then plot them, you will see that adding a coefficient of 0.5 simply stretches the graph
This one is extremely simple, and we can use the color coded pie chart to find the cost of each of the 5 things.
For the first, decorations, Mary spent $?? as shown by the blue triangle on the pie chart. Let’s get the other ones first to total the money left over.
For the second, she spent $65 on food, as shown by the green triangle on the pie chart.
For the third, she spent $80 on party hall rental, as shown by the blue triangle on the pie chart.
For the fourth, she spent $30 on prizes, as shown by the dark blue triangle.
And for the fifth one, she spent $45 on invitations. A bit too expensive if you ask me.
Then we add all the costs together, and get 220. After adding the extra costs such as candy, costumes, and music, we get a total of $345. We would subtract this from $375 to get a total of $30 left over, which was spent on decorations. The ??? value of the light blue triangle is $30.
Hope this helps!
Answer:
68.8
Step-by-step explanation:
rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).
In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.
Answer:
520?
Step-by-step explanation:
I think
Presenting the table vertically makes it easier to read:
X F(x)
-1 -5
0 -1
1 3
I see that if x increases by 1 from 0 to 1, y increases by 4 from -1 to 3. Thus, the slope of the line represented by the table is:
4
m = -------------- = 4/1 = 4
1
So, our two lines have the same slope: 4.
g(x) = 4x + 3; f(x) = 4x - 1
but they have different y-intercepts. Thus, the 2 lines are parallel and never cross one another.