The intercepts of the graph are:
x-axis interception:
.
y-axis interception:
.
See the graph of the function
in the attached image.
<h3>
Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
Replace these x-values in the given equation. For example:
When x=-4, we will have:
. Do this for the all x-values of your ranges.
See the results for this step in the attached table.
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>
Find the x- and y-intercepts</h3>
The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are:
.
y-axis interception point (x=0) is:
.
Learn more about intercepts of the graph here:
brainly.com/question/4504979
Answer:
an = 2.5n -0.2
Step-by-step explanation:
an = 2.5n -0.2
Answer: 44
Step-by-step explanation:
1/5 of the slab are grey implies that 4/5 are yellow.
The ratio of grey to yellow is thus given as :
1/5 : 4/5
which is 1 : 4
Therefore , the ratio of grey to yellow is 1: 4
The total ratio = 1 + 4 = 5
To calculate the number of yellow , we use the formula
number of yellow =
X total number of slabs , that is
number of yellow =
X 55
number of yellow slab = 44
Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
- x +
= 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
----------------------------------------------------------------------
Adding the 2 fractions on the left side gives
+
- x = 6x , that is
- x = 6x ← option 2 will have the same solution set
------------------------------------------------------------------------
From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set
In order to solve this problem, we need to set up a proportion. I am setting the amount of calories in 10 ounces of grape juice equal to x.

We begin to solve this by cross multiplying.
8x = 1,100
To finish the problem, we divide both sides by 8.
x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.