Answer:
Option C is correct.
The equation 
represents the function.
Step-by-step explanation:
Using slope intercept form to find the equation of line :
For any two points 
and 
the equation of line is given by:
......[1] ;where m is the slope given by:
Consider any two points from table :
let (4, 2) and (0, 4) be any two points.
calculate slope:
Now, substitute in equation [1] we have:
Distributive property i.e, 
Add both sides 2 we get;
Simplify:
Since, y= f(x)
therefore, the equation represents the function.
Final result : -3
Step by step solution :Step 1 : 3 - a Simplify ————— 21 Equation at the end of step 1 : (a - 3) (3 - a) ——————— ÷ ——————— 7 21 Step 2 : a - 3 Simplify ————— 7 Equation at the end of step 2 : (a - 3) (3 - a) ——————— ÷ ——————— 7 21 Step 3 : a-3 3-a Divide ——— by ——— 7 21
3.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
a - 3 3 - a a - 3 21 ————— ÷ ————— = ————— • ——————— 7 21 7 (3 - a)
3.2 Rewrite (3-a) as (-1) • (a-3) Canceling Out : 3.3 Cancel out (a-3) which now appears on both sides of the fraction line.
Final result : -3
Answer:
A)
x= the number of ride tickets
y= the total cost of admission plus how many ride tickets a person purchases
B)
y= 1.25x + 9.5
C)
It is a$1.25 per ticket for the rides at the fair, so it would be 1.25 multiplied by the amount of tickets that are purchased (x). Spencer bought 17 tickets, so 17x1.25= 21.25 and it says that he spent a total of $30.75 at the fair, so 30.75-21.25=9.5, so that means the cost of admission is $9.50.
Step-by-step explanation:
I hope this helps!
ABC=DBC
(This will probably be a way more complex explanation than you need but it’s what I did.)
Okay so you know B=B because they’re both right angles. You know A=D because of the isosceles triangle theorem- if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That leaves C=C. If B=B and A=D and all triangles add up to 180 degrees, C and C need to be the same.
Answer:
Step-by-step explanation:
The given trigonometric equation is
for 
.
We divide through by 5 to get;
We take the inverse tangent of both sides to obtain;
Since the tangent ratio is positive, it means 
could also be in the 3rd quadrant. But this is outside the given range.
Therefore the correct answer is A
