So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:
Now, in this situation we can make use the elimination method by converting 3n to -27n.
Add both equations:
So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:
So one order of nachos cost $1.40.
The equation given in the question is
x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 - 9x + 4x - 36 = 0
x(x - 9) + 4(x - 9) = 0
(x - 9) (x + 4) = 0
From the above set we can say that x = 9 is the positive solution of the equation given in the question. I hope that this is the answer that you were looking for and it has come to your great help.
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
Answer:
DE = 7.07 RS = 11.04 not congruent
Step-by-step explanation:
Formula:
D (5,0) E (0,-5)
DE
d= 7.07
R (-5,-5) S (6,-6)
RS
d= 11.04
Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
