I hope this helps you
x^2-15x+36
x -3
x -12
(x-12)(x-3)
We are given an exponential function:
f (x) = 2e^(3x)
The standard form of an exponential function is Aoe^(bx),
where Ao is the initial value of the function
b is the growth factor of the function
To graph the function, assign values of x then solve for the values of y corresponding the values of x.
Answer:
cot(θ)=5/12
Step-by-step explanation:
(I'm going to replace theta with x to save time.)
Recall that sine is equal to opposite over hypotenuse. Thus:
sin(x)=12/13, this means that the opposite side is 12 while the hypotenuse is 13 (well, it doesn't have to be, but their ratios are).
Find the adjacent side using the Pythagorean Theorem.
13^2 = 12^2 + adj^2
adj^2 = 25
adj = 5.
Recall that tan(x) is opposite over adjacent. This means that cot(x) is adjacent is opposite.
Therefore: cot(x) = 5/12.
Answer:
x1= -9/2 ; x2= -7/3
Step-by-step explanation:
Rewrite to 6x^2 + 27x +14x +63 = 0
Factor and get 3x(2x + 9) + 7(2x + 9) = 0
Factor again and get (2x + 9)(3x + 7) = 0
Separate into possible cases -> 2x + 9 = 0; 3x + 7 = 0
The equation has two solutions: x1 = -9/2 and x2 = -7/3
Hope this helped!!
-5(x+7)<-10
-5x-35<-10
+35. +35
-4x<25
both divided by-4
x> -6.25
i flipped the sign because I divided with a negative number. and I hope you can make -6.25 into a fraction, I can't because I don't have a calculator with me :(
