Answer:
No, 6 is not a solution to the equation x2-4=5x
Step-by-step explanation:
6(2)-4=5(6)
12-4=30
8=30
The question is basically asking if you replace x with 6, will the equation equal each other on both sides, for example 6=6 or 3.5=3 1/2. In this case the equation gives us 8=30 which means 6 would not be a solution since both sides aren't equal to one another, 30 is bigger than 8.
Answer:
The total amount of students in the class would be 30. The total amount of girls would be 12.
Step-by-step explanation:
60% * x = 18
(60/100) * x = 18
6x/10 = 186x = 18 * 10
6x = 180x = 180/6 = 30
The total number of students in the class is 30.
Number of girls in the class = 30 - 18 = 12
So there are 12 girls in the class.
Answer: Intercept of the equation = (9,0)
Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
Step-by-step explanation:
Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .
To find the x-intercept, put B =0 (as x denoted the independent variable , here independent variable is 't')
Hence, the x-intercept of the equation = (9,0)
i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?
If the measure of an angle is 135°,
then the measure of its supplement is 45°.
We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.
Given:
The point (15,-11) is on the graph of a one-to-one function f(x).
To find:
The a point on the graph of 
.
Solution:
We know that, if the points on the graph of a one to one function are given by (x,y), then the points on the graph of its inverse function are given by (y,x).
In the point (15,-11).
x-coordinate = 15
y-coordinate = -11
In the inverse function,
x-coordinate = -11
y-coordinate = 15
Therefore, the required point on the graph of is (-11,15).
