The slope is the change in Y over the change in X:
Slope = (3 -12) / (4-0)
Slope = -9/4
The answer is the 3rd choice.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
13. Let A = the amount of money in the given time, P = principal amount; the amount of money you start with, T = time in years, R = interest rate, and N = amount of times interest is compounded each year.
The formula for compound interest is:
Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years
This simplifies to:
And again to:
Plug this into a calculator:
A = 1225.043 or ≈1,225.04
14. (x² + 3)(x - 3)(x + 3)
I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:
(x² + 3)(x² - 9)
Then you do the FOIL method again to get:
x⁴ - 9x² + 3x² - 27
And combine like terms for your answer:
x⁴ - 6x² - 27
Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.
If not, your area is found by the equation 3x² - 5x - 12
B is the answer because it does not give information for the third side. We cannot assume it is equal because it is not a right triangle.
Answer:
Each strip should 11 inches wide.
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.