Answer:
35
Step-by-step explanation:
3x=81+24
3x=105
x=35
Answer:
yes
Step-by-step explanation:
For the relation to be a function, there must only be one corresponding value of y (range) for any value of x in the domain, that is a one-to- one relationship
This graph displays this feature and is a function.
Answer:
The equation of line is: 
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope
So, we get slope: 
Finding y-intercept
Using point (-6,-2) and slope we can find y-intercept
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope and y-intercept b = 6 is
Now transforming in fully reduced form:
So, the equation of line is:
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
