Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)<u>
</u>
- Vertical Line Test - no function can have the same x-value for different y-coordinates
Step-by-step explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.
Answer:
Slope Intercept: y= -3/2x+13/2. Point Slope: -3x -2y + 13=0. Standard Form: -3/2x + y = 13/2
Step-by-step explanation:
Answer:
297 sq ft
Step-by-step explanation:
the width is 9 and the length is 33
9x33=297
Answer:
B
Step-by-step explanation:
(Sorry about the crude drawing)
The drawing shows what the triangle with a terminal side in Quadrant IV looks like.
Secant is the ratio of the hypotenuse to the adjacent side of the angle. In the given ratio, we can set 5 as the hypotenuse and 2 as the adjacent side (you can see them labeled in the picture).
Now, we want to find sin, which is (opposite)/(hypotenuse). However, we don't know the opposite. We can find it by using the Pythagorean Theorem:
![\sqrt{5^2-2^2} =\sqrt{25-4} =\sqrt{21}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5E2-2%5E2%7D%20%3D%5Csqrt%7B25-4%7D%20%3D%5Csqrt%7B21%7D)
So, the opposite side is
. But, we see that since it's in the fourth quadrant, it must be negative, so we have opposite =
. Now, we can find the ratio because hypotenuse = 5:
sin(θ) =
.
Thus, the answer is B.
Hope this helps!
It would be 19. Because...
Expression: $0.55n = $10.45
Work: 10.45 / 0.55 = 19 ounces
Proof: 19 x 0.55 = $10.45