Answer:
14 : 24
Step-by-step explanation:
If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Hey there!
a. To start, the domain of a function is the range of x values a graph has.
In the graph shown, you have a graph with x values that range from -4 to 0.
However, notice in the graph, there is a hole at the point (-4,6). This hole means that in the function, the domain value of -4 is not included in the domain.
Therefore, to represent your domain in interval notation, you would have:
(-4, 0]
**a parenthesis before a value signifies the value is not included (-4 is not included due to the hole) and a bracket signifies the value is included.
b. The range of a function is the range of y values the function has. Notice how the function's values range from -9 to 6, however there is a hole in the y value of 6 meaning it is not included. Therefore, your range should be [-9, 6).
c. To start, the x-intercept of a graph is the point in which the line passes through the x axis. In the graph shown, the line passes through the x axis at (-3,0). Therefore, your x-intercept would be (-3,0).
d. Similar to the x-intercept, the y-intercept of a graph is the point in which the line passes through the y-intercept. In the graph shown, the line passes through the y axis at (0,-9). Therefore, your y-intercept would be (0,-9).
e. To find the function value in the graph, first locate -2, the given value in f(-2), on the x-axis. Now, trace the point towards the line to find where the x values of -2 lies on the graph, which would be at point (-2,-5). Knowing this, f(-2) would be -5, the y value of the point.
Hope this helps and have a wonderful day! :)
Answer:
B) {x|-13 < x < 13}
C) {x|x < -4 or x > 4}
Step-by-step explanation:
Given in the question,
<h3>1.</h3><h3>|x| < 13</h3>
Remove the absolute value term.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
-13 < x < 13
<h3>
2.</h3><h3>
|x| > 4 </h3>
If your absolute value is greater than a number, then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
x < - 4 or x > 4
Answer:
There isn't any graph
Step-by-step explanation:
To find how much older Leo is than John, we need to first assign our variables. In this case, let's say that x = Leo, y = Karla, and z = John. Now, let us turn words into numbers.
x = 2y
z = y - 7
Next, we need to create an equation for their combined ages. This is what the equation should look like:
x + y + z = 37
Now, just substitute the expressions we found for x and z. This is what we get:
2y + y + (y - 7) = 37
Solve for y:
2y + y + y - 7 = 37
4y - 7 = 37
4y = 44
y = 11
So now we have the value for y, which is Kayla's age. Therefore, just substitute the value for y back into the equations for x and z.
x = 2(y) => x = 2(11) => x = 22
z = y - 7 => z = 11 - 7 => z = 4
Now that we have the values for x, y, and z, all we need to do now is reassign them back to their respective names. Our final answer will be: John is 18 years older than Leo. The answer to your query would be E) 18. Hope this helps and have a nice day!