To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>
Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>
Multiply the first equation by 3, and multiply the second equation by 4.
Answer:
She made 12 two point basket.
Step-by-step explanation:
Assuming the number of 2 point basket is x and that of 3 point basket is y.
Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.
x + y = 14 eqn 1
2(x) +3(y)=30 eqn 2
Using elimination method multiplying eqn 1 by -3 and adding it to equation 2
-3x-3 y = -42 adding to eqn 2 gives
-x= -12
x=12. Which gives the number of the 2 points basket she made .
Answer: Choice #3 - compressed horizontally and translated by 4 units to the right.
This corresponds to horizontal shift to the right by 4 units and a horizontal compression.
Answer:
P = 157.1 mm
Step-by-step explanation:
The perimeter of the figure = Circumference of circle + perimeter of square
We have, d = 11
⇒ Radius = 11 mm
Side of square = 22 cm
So,
So, the perimeter of the figure is equal to 157.1 mm.
