Answer:
x=-16
Step-by-step explanation:
We are given with the equation
We are asked to solve it for x.
Distributing over bracket and simplifying
Adding 8 on both sides
Dividing both sides by -3
Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by
It is given that d is the distance from theatre to friend's house
So, d must be less than i.e.
So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
To find the range, you need to locate the vertex:
equation for vertex = ax^2 + bx +c
in x^2 + 3, a = 1, b = 0 and c = 3
now vertex form = a(x+d)^2 +e
d = b/2a = 0/2*1 = 0
e = c-b^2/4a = 3-0^2/4*1 = 3
The equation becomes: (x+0)^2 +3.
The range is Y ≥ 3 ( greater than or equal to 3)
Answer:
-7
Step-by-step explanation:
The two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2
<h3>What are the two possible solution to the equation?</h3>
Given the equation; 6x² - 35 = -11x
The quadratic formula is expressed as;
x = [ -b±√( b² - 4(ac) ]/2a
First, we re-arrange our equation in the form of ax² + bx + c = 0
6x² + 11x - 35 = 0
We substitute into the formula.
x = [ -b±√( b² - 4(ac) ]/2a
x = [ -11±√( 11² - 4( 6 × -35 ) ]/2×6
x = [ -11±√( 121 + 840 ]/12
x = [ -11±√961 ]/12
x = [ -11 ± 31 ]/12
x = (-11 + 31)/12, (-11 + 31 )/12
x = 20/12, -42/12
x = 5/3, -7/2
Therefore, the two possible solutions to the given equation ( 6x^2-35 = -11x ) are x = 5/3 and x = -7/2
Learn more about quadratic formula here: brainly.com/question/4038687
#SPJ1