Answer:
16
Step-by-step explanation:
Given the definitions of f(x) and g(x) below,
f(x) = x^2+ x + 10
g(x) = -5x-3
f(g(x)) = f(-5x-3)
f(-5x-3) = (-5x-3)²+((-5x-3)+10
f(-5x-3) = 25x²+30x+9-5x-3+10
f(-5x-3) = 25x² +25x+16
f(g(x)) = 25x² +25x+16
f(g(-1)) = 25(-1)² +25(-1)+16
f(g(-1)) = 25-25 + 16
f(g(-1)) = 16
Hence f(g(-1)) is 16
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
Let x = the number of total students in the class
Convert the percent into a decimal by moving the percent sign two places to the left and change the percent sign into a decimal point.
60% = 0.6
Then 0.6x = the number of girls in the class
Then 0.6x + 30 = the total number of students in the class
0.6x + 30 = x
Solve for x.
0.6x + 30 = x
0.6x = x - 30 <-- Subtract both sides by 30
-0.4x = -30 <-- Subtract both sides by x
x = 75
Now we have the total number of students in the class.
60 percent of the students are female.
0.6 * 75 = 45
So, C 45 is the answer.
Answer: (-3, -8) (0, 1) (-3, -8)
Step-by-step explanation:
So in the equation, y=3x+1, 1 is the y intercept (which is where the line goes through the y intercept, so graph a point at 0,1 (that also fills out the middle of the chart. 3 is the slope of the equation so then you have to use the slope and you will find 2, 7 as a point and -3, -8 as a point.
Hope that helps! :)