Answer:
Step-by-step explanation:
In other words, solve the system
2x - 3y = 8
4x + 3y = -2
Let's use the method of elimination. Mult. the first equation by -2:
-4x + 6y = -16
4x + 3y = -2
----------------------
8y = -18, so y = -9/4. If y = -9/4, then 2x - 3(-9/4) = 8, and:
2x + 27/4 = 8, or
2x + 27/4 = 32/4, or
2x = 5/4, or
x = 5/8
Then the solution is (5/8, -9/4).
If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly. Where do the "- =" symbols following the '8' come from?
Answer:
<h2>
0.235 = 47/100</h2><h2>
0.5777 = 5777/10000</h2>
Step-by-step explanation:
Given the decimal numbers 0.235 and 0.5777, to show in the form p/q means we are to express the decimals in fraction in its lowest form. This is as shown below;
0.235 = 235/1000
= 5*47/5*200
= 47/200
0.235 = 47/100 where p = 47 and q = 200
For 0.5777
0.5777 = 5777/10000
This fraction can not be expressed further into its lowest term therefore p = 5777 and q = 10000
C) $23,760
$99+$99= 198
198x12= 2,376
2,376x10= $23,760
Answer: the second option is the correct answer.
Step-by-step explanation:
f(x) = 15x² + 19x + 6
g(x) = 5x + 3
f.g(x) = (15x² + 19x + 6)(5x + 3)
f.g(x) = 75x³ + 95x² + 30x + 45x² + 57x + 18
f.g(x) = 75x³ + 95x² + 45x²+ 30x + 57x + 18
f.g(x) = 75x³ + 140x²+ 87x + 18
(f ÷ g)(x) = (15x² + 19x + 6)/(5x + 3)
We would find the other factor of the quadratic equation.
15x² + 19x + 6 = 0
We would find two numbers such that their sum or difference is 19x and their product is 90x². The two numbers are 10x and 9x. Therefore,.
15x² + 10x + 9x + 6 = 0
5x(3x + 2) + 3(3x + 2)
(3x + 2)(5x + 3)
Therefore,
(f ÷ g)(x) = 3x + 2
