The function is decreasing from -6 to -3, that is, on the interval (-6,-3), and again on the interval (1, infinity).
The function is increasing on (-3,1).
No local or absolute minimum.
(1,4) is an absolute max.
Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
Answer:
No
Step-by-step explanation:
Explanation 1)A vertical line can be represented by the equation x=a, where a can be any number. If you think about it, there is no y in the function, this making it not a function.
Explanation 2) For a line to be a function it has to pass the vertical line test, so you will draw a vertical line through the function and if it touches more than one point then it is not a function. In this case if you draw a vertical line through a vertical line there are an infinite number of places where the lines intercept, so it is not a function.
Answer:
x < 6
Step-by-step explanation:
1. 3x+2x = 5x
2. 5x - 8 < 22
3. 22+ 8 =30
4. 5x < 30
5. 30/5 = 6
6. x < 6
Answer: What you would have left is 12 pieces of pie
Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.
Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).
So, each of the three pies now have the following left overs;
1/2, 3/8 and 5/8.
Adding them all together would give,
1/2 + 3/8 + 5/8
Using 8 as the common denominator
4/8 + 3/8 + 5/8
(4 + 3 + 5)/8
12/8.
Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.
