Answer:
B.
Step-by-step explanation:
a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).
"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".
specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.
all defined segments are continuous functions.
so, let's look at
A. the first connection point is x=-2.
-2 + 6 = 0.5×(-2)²
4 = 0.5×4 = 2
4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.
B. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous at this point.
second connection point x=4
0.5×4² = 20 - 3×4
0.5×16 = 20 - 12
8 = 8 is correct. continuous at this point
C. x=-2
-2 - 2 = 0.5×(-2)²
-4 = 2 is wrong. not continuous
D. x=-2
-2 + 4 = 0.5×(-2)²
2 = 2 is correct. continuous here.
now for x=4
4 + 4 = 25 - 3×4
8 = 25 - 12 = 13
8 = 13 is wrong. not continuous.
Answer:
C: 56,72,52
Step-by-step explanation:
we know that
An acute triangle is a triangle with three angles less than 90°
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
<u><em>Verify each case</em></u>
case A) The three measures are less than 90 degrees but the sum is not equal to 180 degrees (is not a triangle)
case B) The three measures are not less than 90 degrees
case C) The three measures represent an acute triangle ( the three measures are less than 90 degrees and the sum is equal to 180 degrees)
case D) The three measures are not less than 90 degrees. This triangle represent a right triangle
Theres 100 pennies. each group she adds has 10 pennies. 10 times 5 is 50. 150 would be the new number of pennies in the jar.
For this case, the first thing you should do is define a variable.
We have then:
g: unknown number.
We now write the expression in algebraic form.
the sum of 5 and a number:
g + 5
Answer:
An expression that means the sum of 5 and a number is:
C. g + 5