Solve for X
The movies charges an admission fee of $15 per person.
Use the function C(p)=15p
Let p be the amount of people and C be the cost.
What is the cost for 8 people
C(p)=15(8)
$120
What is the mode of this data set
3,1,6,7,4,8,2,0,10,5
No mode
Solve for x
-3(4x+3)+4(6x+1)=43
-3(4x+3)+4(6x+1)=43
-12x-9+24x+4
-9+4=-5
-12x+24x-5=43
-12x+24x=48
-12x+24x=12x
48/12=4
x=4
Factor
6x^2+15x-36
6x^2+15x-36
GCF=3
3(2x^2+5x-12)
A=2 B=5 C=12
A*C=24
24
- 3*8
2x^2-3x + 8x-12
x(2x-3) + 4(2x-3)
3(x+4)(2x-3)
Solve For M
2-5|5m-5|=-73
2-5|5m-5|=-73
-2 -2
-5|5m-5|=-75
+5 +5
|5m-5|=-70
5m-5=-70 5m-5=70
+5 +5 +5 +5
5m=-65 5m=75
-65/5=-13 75/5=15
m=-13&15
The functions of H and G are defined as follows.
H(x)=-3x-2 G(x)=-2x^2-3
Find H(6) and G(3).
Simplify your answers as much as possible.
H(6)=
G(3)=
H(6)= -3(6)-2= -20
G(3)=-2(3)^2-3= -21
Find the range of this data set
24,5,8,30,24,28,32,5,25
27
Solve for a
a+5=-5a+5
a+5=-5a+5
+5a +5a
6a+5=5
-5 -5
6a=0
a=0
Factor
x^2+6xy+8y^2
x^2+6xy+8y^2
A=1 B=6 C=8
A*C=8
2*4
x^2+2xy + 4xy+8y^2
x(x+2y)+ 4y(x+2y)
(x+4y)(x+2y)
Solve For x
3|x+6|+8=5
3|x+6|+8=5
-8 -8
3|x+6|=-3
3/3 -3/3
|x+6|=-1
NO SOLUTION
If the rate of inflation is 3.1% per year, the future price (in dollars) of a certain item can be modeled by the following exponential function P(t)=800(1.031)t
Find the current price of the item and the price 6 years from today.
Round your answers to the nearest dollar as necessary.
P(t)=800(1.031)6
$960
Find the frequency of this data set (note the class width is 6)
77, 84, 73, 88, 89, 81, 80, 86, 71, 72, 75, 76, 73, 85, 87, 87, 85, 89.
66-71 = 1
72-77 = 6
78-83 = 2
84-89 = 9
Solve for a
1.2(3a-1)+8.9=14.9
1.2(3a-1)+8.9=14.9
3.6a-1.2+8.9=14.9
-1.2+8.9=7.7
3.6a+7.7=14.9
-7.7 -7.7
3.6a=7.2
7.2/3.6=2
a=2
Factor
x^2+2xy-15y^2
x^2+2xy-15y^2
A=1 B=2 C=-15
A*C=-15
-3*5
x^2-3xy + 5xy-15y^2
x(x-3y)+ 5y(x-3y)
(x+5y)(x-3y)
Solve For x
|x|+2=6
|x|+2=6
-2 -2
x=4&-4
The function g is defined as follows.
g(x)=-3x^2+3
If the graph of g is translated vertically upward by 4 units, it becomes the graph of a function h.
Find the expression for h(x).
H(x)=-3x^2+7
Find the median of this data set
5, 12, 13, 16, 12, 14, 12, 5, 10
12
Solve for Z
0.7z+1.9+0.1z=5.5-0.4z
0.7z+1.9+0.1z=5.5-0.4z
0.7z+0.1z=0.8z
0.8z+1.9=5.5-0.4z
+0.4z +0.4z
1.2z+1.9=5.5
-1.9 -1.9
1.2z=3.6
3.6/1.2=3
z=3
Factor
x^4-16x^2y^2+63y^4
x^4-16x^2y^2+63y^4
A=1 B=-16 C=63
A*C=63
-7*-9
x^4-7x^2 y^2 - 9x^2 y^2
x^2(x^2-7y^2)-9y^2(x^2+7y^2)
(x^2-9y^2)(x^2-7y^2)
Solve For x
|2x-3|=1
|2x-3|=1
2x-3=1 2x-3=-1
+3 +3 +3 +3
2x=4 2x=2
4/2=2 2/2=1
X=2&1
If the rate of inflation is 4.8% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
p(t)=900(1.048)^t
Find the current price of the item and the price 5 years from today.
Round your answers to the nearest dollar as necessary.
p(t)=900(1.048)^5
$1138
Find the mean of this data set
42, 34, 36, 24, 34
54
Solve for X
2x+5=4x-6
2x+5=4x-6
-2x -2x
5=2x-6
+6 +6
11=2x
11/2
x=11/2
Factor
x^2+9x+14
x^2+9x+14
A=1 B=9 C=14
A*C=14
x^2+2x + 7x+14
x(x+2)+ 7(x+2)
(x+7)(x+2)
Solve For x
|x+8|-5=2
|x+8|-5=2
+5 +5
x+8=7 x+8=-7
-8 -8 -8 -8
x=-1&-15