First you need to determine by how much it changes between numbers, which is +4. You could take the last number they give you and keep adding 4 until you get to the 16th term but that would take a long time. It is better to set up an equation which would
be 4(x-1)+3. you need to...
Each place you have an x substitute in a 5.
(5)^2 -2(5) +7
25 -10 +7
15 + 7
The original price multiplied by the percent discount will equal the amount of the discount
(Original price)( % discount) = amount of discount
Remember to use x for the original price and to write the percent of discount as a decimal
15% would be 0.1...
The number of stops will be the distance he needs to travel divided by how many feet he travels before each stop, minus 1 stop since you don't count the final stop which is the top
60/5 = 12
12-1 = 11 stops
Draw and label a rectangle. Label the width (w) and the length (150-w). Because the coral is a rectangle and the entire field uses 300ft, one half of it (a length and width) will be 150ft, so the width is w and the length is 150-w.
Area is length times width which gives you (w)(150-w),...
These type problems are easily solved by writing two equations and then solving by substitution.
Step 1 determine what your variables are going to represent:
F = # of floor seats sold
B = # of balcony seats...
To find the perimeter, you must add the measurements of all the sides together.
P = 12 + 8 + 10 + 10
P = 40 m (don't forget your units)
To find the area, use the formula for the area of a trapezoid which...
Remember when you multiply the same variable by itself, you add the exponents and when you divide you subtract the exponents.
This problem is division so it would be X12- (-3) which becomes X^12+3 which gives an answer of X^ 15
This is the equation of a parabola that opens downwards (because the coefficient of x2 is negative) so the maximum value of P will be found at the parabola's vertex.
The x-coordinate of the vertex is given by:
To solve by quadratic formula you must first make sure all the terms are on one side of the equation and it is set equal to zero. Also make sure the terms are arranged from highest power to lowest.
The coefficient (number) in front of the first term is a
The coefficient (number)...
Here is the problem worked out and the explanation follows.
W2 -2W = 15
W2 -2W -15 =0
(W-5) (W+3) = 0
W-5 = 0 or w+3 = 0
W = 5 or w= -3
To solve this type problem you always have to represent how fast the person works as a fraction. For example if a person can wash a car in 6 hours then you would represent that as 1/6.
For this problem:
The younger brothers speed is 1/x
Franks speed is 1/ (2/3)x
Here is a visual aid that might help.
The machine only has two colors red and white.
The two gumballs have to be the same color.
Lets say she puts in the first penny and gets a red gumball
When she puts in the second penny if she gets another red gumball then she does not have to buy more but if she gets a white...
We need to write an equation of a line in slope intercept form which is y= mx + b. So we need to know m (the slope) and b (the y intercept which is where the line crosses the y axis)
We know that the line we need the equation for is perpendicular to a given segment...
You solved this correctly until the last part of step 2 and 3, but your answer is still correct. In step 2 you use the distance formula and set it up correctly but then you drop the √ sign in the last part. The distance would be the √2.25 which is 1.5.
You make the same error in step 3 by forgetting...
When using synthetic division it is important to make sure the expression that you are dividing is arranged from left to right starting with the highest power (exponent) to the lowest. Also make sure there are no powers missing, for example X4
+ 3X2 - X1 + 9, notice there is no...