Answer:
[-6, 8]
Step-by-step explanation:
Domain: set of all possible <u>input</u> values (x-values)
Range: set of all possible <u>output</u> values (y-values)
The <u>closed circles</u> on the <u>endpoints</u> of the curve mean that those points are <u>included</u> in the interval.
From inspection of the graph, the smallest y-value is -6 and greatest y-value is 8.
To express this in <u>interval notation</u> write the beginning and ending numbers of the interval inside <u>square brackets</u> as the end values are <u>included</u>.
(If the circles were open, and therefore the end values should not be included, use curved brackets).
Therefore the range of the given graph is: [-6, 8]
Answer:
Step-by-step explanation:
x^2 + 2x + 1 = 17
x^2 + 2x = 17 - 1
x^2 + 2x = 16
x^2 + 2x + 1 = 16 + 1
(x + 1)(x + 1) = 17
(x + 1)^2 = 17
x + 1 = sqrt 17
x = -1 (+ - ) sqrt 17
x = -1 + sqrt 17 or x = -1 - sqrt 17 <===
Answer:
999.60
Step-by-step explanation:
$3.51 times 42 is 147.42 and 1147.02 minus 147.42 is $999.60
TBH this might not be right I'm not great at math buuut- heeeyy
So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
This is the top side, but because you could fit 2 circles at the top and you know the measurement, it is common sense to think that it would be the same on the other side. So the area of the square/ rectangle:
112x112= 12,534 mm
