Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0
_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3
Answer:
(a) $7492
(b) $10,253
(c) $14,032
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
A = P(1 + \frac{r}{n} )^{nt}
where,
A = Final Amount due
P = Initial principal amount borrowed
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
(a) in 4 years ;-
⇒ 
⇒ 
(b) in 6 years ;-
⇒ 
⇒ 
(c) in 8 years ;-
⇒ 
⇒ 
1) 8y + 9 2) 2n + 4 3) 3d + 5h
rearrange the equations and combine like terms. combine the terms with the same variables and add / subtract them.
for example number 1:
9y - 11 + 20 - y
is the same thing as
<em>9y - y</em> <u>+ 20 - 11</u>
and now you can easily combine them:
<em>8y</em> + <u>9</u>
i hope this helps!
Answer:
$6
Step-by-step explanation:
let x and y be the number of chip and pretzel bags respectively :
4x%2B2y%3 C=20
:
if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8 :
if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4 :
so chips 1 and pretzels 8 :
chips 3 and pretzels 4.
Answer:
m∡2 = 90°
Step-by-step explanation:
diagonals of a rhombus are perpendicular
