Answer:
1/2
Step-by-step explanation:
2/3-1/6
=4/6-1/6
=3/6
=1/2
The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.
From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.
Therefore, we would have;

This means angle X and angle Y both equal 27 degrees each.
Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,
Answer:
first, subtract 17 on both sides: x²+2x-16=0
this cannot be factored, so use the quadratic formula to solve for x:
b²-4ac=2²-4(10(-16)=4+64=68
√68=2√17
so x=(-2+2√17)/2 or x=(-2-2√17)/2
x=-1+√17 or x=-1-√17
Step-by-step explanation:
This is a proportion, she is walking 3.3 every hour. She walked for 5.4 hours. And we don't know how far she walked so its x/.54. Then you cross multiply which gives you 3.9×.54=x. We multiply those decimals and we get 1.782.
Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150



Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u>
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