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klemol [59]
3 years ago
13

2x - 6 < 4 solve for x

Mathematics
2 answers:
Gelneren [198K]3 years ago
5 0
Simple.....

2x-6<4

2x-6<4
   +6  +6

2x<10

x<5

Thus, your answer.
DedPeter [7]3 years ago
5 0
2x - 6 < 4 <-- Start
2x < 10 <-- Transpose the -6
x < 5 <-- Divide both sides by 2

The answer is x < 5

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How does it satisfy a linear function
Alina [70]
Multiple values of y for a single value of x is a sure giveaway that this is NOT a function.  Please review definitions of "function."  A function would be represented if no x value has more than one y value associated with it.
5 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
A jeweler orders necklaces from a website that offers $6 shipping for any-size order. each necklace costs $7. the jeweler wants
antiseptic1488 [7]
7n + 6 = cost
Hope this helps!
4 0
3 years ago
Read 2 more answers
Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.
Margaret [11]
The given equation is:
t = 7 + 5q
where:
t is the total number of points
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We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
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3 years ago
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Two shuttle buses start and end their routes at the same place. Bus A takes 5 min to complete its route. Bus B takes 12 min to c
erastova [34]
A. 5 minutes long , I think
7 0
3 years ago
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