Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
The price of a flower bouquet is $2.75 according to the information on the question above. This problem can be solved using two linear equations with two different variables based on the transaction. The first equation is 3x +5y= 25.75 and the second equation is 8x+2y=29 which can be simplified as y=14.5-4x. You can find the x by substituting the "y" variable on the first with the second equation resulting in "x =2.75" which is the price of the flower bouquet<span>.</span>
Lets use bedmas/pemdas, and simplify the equation to find n.
n = 9 * 27 + 2 * 31 - 28
n = 243 + 2 * 31 - 28
n = 243 + 62 - 28
n = 305 - 28
n = 277
Therefore n = 277.
Answer:
Given,
A=90
b=15
A=12bh
Now,
Step-by-step explanation:
Put the given value in the formula
A=12bh
90=12*15*h
90=180h
90/180=h
Hence, h=0.5
