Answer:
Option A. y = x² + 7x + 10
Step-by-step explanation:
We'll begin calculating the roots of the equation from the graph.
The roots of the equation on the graph is where the curve passes through the x-axis.
The curve passes through the x-axis at –5 and –2
Next, we shall determine the equation. This can be obtained as follow:
x = –5 or x = –2
x + 5 = 0 or x + 2 = 0
(x + 5)(x + 2) = 0
Expand
x(x + 2) + 5(x + 2) = 0
x² + 2x + 5x + 10 = 0
x² + 7x + 10 = 0
y = x² + 7x + 10
Thus, the function that describes the graph is y = x² + 7x + 10
Answer:
460 ft^2 of carpet will be replaced
Step-by-step explanation:
You need to find the area of the room and then take away the area of the six bookcases
<u>Area of the room</u>
20*20=400ft^2
35-20=15ft
(15*20)/2=150ft^2
400+150=550ft^2 total room area
<u>Area of bookcases</u>
2.5*6*6=90ft^2 total bookcase area
<u>room area - bookcase area = carpet area</u>
550-90=460ft^2
It has exactly one solution.
If you graph both of these equations on desmos, you will see that they only cross once. Therefore you only have one solution
The relation you have shown is not a function.
In order to be a function, a relation's domain must be continuous in that no x-value is not repeated in any of the points. Since the first two points of the relation are (5,1) and (5,3), you can see that they have the same x-value, meaning that this is not a function.
One quick way you could test this is to quickly sketch a graph and use the vertical line test to see if the relation in question is a function. If it cross the vertical line once in all places, it is a function - if it crosses the vertical line more than once in any place, it is not a function.
Answer:
There are 9 arms.
Step-by-step explanation:
