Answer:
The answer is option D
g(x) = |x+3|
Step-by-step explanation:
Please see attached graph
The changes made to the function result from translating the graph of f(x) three units to the left
By substituting the equations provided at x = -3 and x = 0 respectively, we can find the same value for both functions.
g(x = -3) = |(-3)+3| = |0| = 0
f(x = 0) = |0| = 0
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
Answer:
10 inches
Step-by-step explanation:
The formula for the triangle area is the following:
A = b * h / 2
Where b is the length of the base side and h is the height.
So, as the height is 4 less than the base, we have that:
h = b - 4
Using this value in the area equation, we have that:
A = b * (b - 4) / 2
30 = (b^2 - 4b) / 2
b^2 - 4b = 60
b^2 - 4b - 60 = 0
Using Bhaskara's formula to solve the quadratic equation, we have:
Delta = 4^2 + 4*60 = 256
sqrt(Delta) = 16
b1 = (4 + 16)/2 = 10
b2 = (4 - 16)/2 = -6 (negative value does not fit for this problem)
So the length of the base is 10 inches.
He would have to pay them 1000 cause after he gets his car fix he will have 2000 left
Answer: 840
Step-by-step explanation: 50% is half. All I did was add 420 two time since 420 is half of what this person has to spend.
