ANSWER
![(3x - 2)(x + 4)](https://tex.z-dn.net/?f=%283x%20%20-%202%29%28x%20%2B%204%29)
EXPLANATION
The given quadratic trinomial is
![3 {x}^{2} + 10x - 8](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20-%208)
Comparing to the general quadratic trinomial:
![a{x}^{2} + bx + c](https://tex.z-dn.net/?f=a%7Bx%7D%5E%7B2%7D%20%20%2B%20bx%20%20%2B%20c)
We have a=1, b=10 and c=-8
![ac = 3 \times - 8 = - 24](https://tex.z-dn.net/?f=ac%20%3D%20%203%20%20%5Ctimes%20%20-%208%20%3D%20-%2024)
The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;
![3 {x}^{2} + 12x - 2x- 8](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%2012x%20%20%20-%202x-%208)
Factor;
![3x(x+ 4) - 2(x + 4)](https://tex.z-dn.net/?f=3x%28x%2B%204%29%20%20-%20%202%28x%20%2B%204%29)
Factor further;
![(3x - 2)(x + 4)](https://tex.z-dn.net/?f=%283x%20%20-%202%29%28x%20%2B%204%29)
The last option is correct.
Answer:
cos 42 = 10 / AB
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 42 = 10 / AB
Answer:
-3=(1/2)(2)+3
Step-by-step explanation:
Answer:
The player answer correctly 30 questions
Step-by-step explanation:
First we have to develop the information that gives us as 2 equations
x = correct answer
y = incorrect answer
z = score = 40
h = total answer = 50
2x - y = z x + y = h
2x - y = 40 x + y = 50
we clear the x of one equation and replace the value of x in the other equation
x = 50 - y
2x - y = 40
2(50 - y) - y = 40
100 - 2y - y = 40
-3y = 40 -100
y = -60/-3
y = 20
x = 50 - y
x = 50 - 20
x = 30
Answer:
$2.96
Step-by-step explanation:
3x$2.67=$8.01
3x$2.73=$8.19
5x$3.27=$16.35
$8.01+$8.19+$16.35=$32.55
This makes 11 pounds of trail mix.
$32.55 divided by 11 = $2.9590909 = $2.96