Answer:
![\large \boxed{\sf \ \ g(x)=3|x| \ \ }](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20g%28x%29%3D3%7Cx%7C%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Well costheta=1, at 0, 2pi,...
knowing this we can exclude the first two as the are not undefined anywhere.
tan is sin/cos, at 0 sin is also 0 so it becomes 0/1 which is 0, not undefined.
sec is1/cos, cos is 1, this is just 1
csc is 1/sin, sin is 0, 1/0 is undefined, meaning there will be an asymptote
cot is cos/sin, this is again 1/0, so it is also an asymptote
The last two answers are the ones you want
Answer:
No; they do not have congruent corresponding angles.
Step-by-step explanation:
Angle U is ...
180° -28° -70° = 82°
The "corresponding" angle in ΔVWX is ∠X = 92°. These are not congruent, so the triangles cannot be similar.
First you open 2 parenthesis with x in each one:
(x )(x )=0
Then, you place the sign of the second term (the x term) in the first parenthesis.
(x+ )(x )=0
Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.
(x+ )(x- )=0
You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)
(x+6)(x-3)=0
Therefore,
x+6=0 or x-3=0
x=-6 or x=3
Your roots are -6 and 3.
Answer:
Option B
Step-by-step explanation:
-1/2x≥4
1) Multiply both sides of the inequality by the reciprocal of -1/2: (-2)
x≤-8
Graph x≤-8 as a line. Remember that lesser negative values go to the left!
ALSO don't forget when you multiply both sides of an inequality by a negative number the inequality sign flips.