Answer:
Step-by-step explanation:
Remember all the angles will equal 360 degrees, so add all the other angles together and subtract 360 from the sum of the other three angles for number 5.
5. x = 59 Degrees
6. x = 114 Degrees
Answer:
The equation can define y as a function of x and it also can define x as a function of y.
Step-by-step explanation:
A relation is a function if and only if each value in the domain is mapped into only one value in the range.
So, if we have:
f(x₀) = A
and, for the same input x₀:
f(x₀) = B
Then this is not a function, because it is mapping the element x₀ into two different outputs.
Now we want to see it:
x + y = 27
defines y as a function of x.
if we isolate y, we get:
y = f(x) = 27 - x
Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.
Now we also want to check if:
x + y = 27
defines x as a function of y.
So now we need to isolate x to get:
x = f(y) = 27 - y
Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.
Answer:
BC= 20 units
Step-by-step explanation:
Since ∆ ABC is an equilateral triangle, all the sides are equal in length.
AC= BC
=>-y+23= 6y+2
=>-y-6y= 2-23
=>-7y= -21
=>y= 21/7
=>y= 3
BC = 6y+2 = 6(3)+2 = 18+2 = 20 units
Answer:
Step-by-step explanation:
The length can be found by setting up a proportion. If the width is reduced by some ratio, then the length will share the same ratio.
3 / 8 = x / 10 Multiply both sides by 10.
3 * 10 / 8 = x Multiply first
30/8 = x Divide next. You don't need to do it in this order.
3 6/8 Simplify
3 3/4 Give another choice
3.75
The length = 3.75 inches
If none of these are correct, please leave a note with your choices.
Answer:
B
Step-by-step explanation:
Remark
I have to represent f(x) as plus +f(x)
I like to show this situation as +f(g(x)) which I think is much clearer.
+f(x) = 5x - 4
Solution
+f(g(x)) = 5(g(x)) - 4 What has happened is that wherever you see an x on the right you put in g(x).
Now on the right, you put whatever g(x) is equal to.
+f(g(x)) = 5(x^2 - 1) - 4
Remove the brackets.
+f(g(x)) = 5x^2 - 5 - 4
And make x = 0
+f(g(0)) = 5*0 - 5 - 4
+f(g(0)) = - 9
