Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.



We can solve these system of equations by substitution
- Substitute


- Isolate a for the first equation

- Substitute
into the second equation



The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.
-9 is a rational number. Rational numbers are numbers that can’t be written as a simple fraction like pi (3.14...etc)
price of one message = 1.35 ÷ 9
1.35 ÷ 9 = 0.15
0.15 • 118 = ( 3 ÷ 20 ) • 118
118 • 3 = 354
354 ÷ 20 = 177 ÷ 10 = $17.7 to send 118 messages
please give brainliest
Answer:
5/3
Step-by-step explanation:
Tangent is defined as the length of the opposite side of the triangle divided by the length of the adjacent side of the triangle. Since you know that two of the legs are 3 and 4, using the pythagorean theorem you know that the last side is 5. Sin is defined as the length of the opposite side divided by the length of the hypotenuse, which in this case is 3/5. Cosecant is just the reciprocal of that, or 5/3. Hope this helps!
If each spoke reaches from the center of the wheel to its rim, then that means that each spoke is as long as the radius.
To calculate radius:
C=2πr
π=3.14
C=42 inches
42=2(3.14)r
2*3.14=6.28
42=6.28r
Divide 42 by 6.28
42/6.28=6.68
length of each spoke is 6.68 inches.