Answer:
- domain: [0, 7]
- range: [-2, 4]
- is a function? YES
Step-by-step explanation:
The domain is the horizontal extent, which is from x=0 to x=7.
The range is the vertical extent, which is from y=-2 to y=4.
The curve passes the vertical line test, so the relation IS A FUNCTION.
_____
The vertical line test asks whether any vertical line intersects the curve at more than one point. If so, the relation is NOT a function.
Answer:
x=90.
Step by step explanation:
To solve the expression 
, and obtaining a value for x we can do the following:
- Add 1 both sides of the equation. This will result in
⇒
. - Multiply both sides by 6, which yields
. This results in 
.
Answer:
Midpoint of the circle is (-3, -7)
Distance from (3, 4) to (-3, -7) is > 5 because the x and y difference are alone greater 5.
So, "In the exterior of the circle" is correct.
The second one, 7 < x < 13
<h3>
Answer:</h3>
Options A and B
<h3>
Solution:</h3>
- In order to determine whether or not an ordered pair is a solution to an equation, plug in the values of x and y:
- 7x-6y=19
- 7(7)-6(5)=19
- 49-30=19
- 19=19
- We have a true statement. Therefore, the ordered pair is a solution to the equation 7x-6y=19.
- Let's try the other ordered pairs.
- 7(1)-6(-2)=19
- 7+12=19
- 19=19
- Here's another true statement.
- Let's check the remaining two options:
- 7(-5)-6(3)=19
- -35-18=19
- -53≠19
- Here we have a false statement.
- 7(-4)-6(0)=19
- -28-6=19
- -34≠19
- Therefore, the ordered pairs that make this equation true are (7,5) and (1,-2)
Hope it helps.
Do comment if you have any query.
