Answer:
x=3
Step-by-step explanation:
In order to solve this kind of equation, you need to be able to understand what the question is asking. This question is asking what value of X will make both sides equivalent to each other?
<em>In order to find out, you need to get X by itself. </em>
The first step is to subtract 115 from both sides.
7x+115=136
-115 | -115
7x=21
Now, the X value is by itself with another value on the other. With this part, you need to divide both sides by 7.
7x=21
/7 | /7
x=3
This is because you have 7 X's and you need to have only 1 of the X's.
Let me know if this was helpful or if you need any more help. Have a nice day. :)
We know that the interior angles of a trapezoid add up to 360 degrees.
Write out an equation to represent this situation;
108+108+2x+2x=360
216+4x=360
4x=360-216
4x=144
x=144/4
x=36
Therefore, the measure of x is 36 degrees.
Hope I helped :)
It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write
and in interval notation,
The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that
,
in set notation:
(this just means "f(x) is a real number less than or equal to 3")
and in interval notation:
![(-\infty,3]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C3%5D%20)
Answer:
-12
Step-by-step explanation:
I am assuming that you want (f*g)(4), which is the product of f and g at x = 4.
If this is actually the case, then one way to evaluate (f*g)(4) is to find f(4) and g(4) separately and then multiply the results together. This gives us
f(4)*g(4) = (8 + 4)*(-4 + 3) = -12
Answer:
40 adult tickets 68 student tickets
Step-by-step explanation:
8a + 4s = 592
4(a + s = 108)
8a + 4s = 592
4a+ 4s = 432 -
------------------------------
4a = 160
a= 40
s = 180-40
s =68
