Answer:
Step-by-step explanation:
<u>Given function:</u>
It is a line with the slope of 1.
Average rate of change is same in any interval of the linear function and it equals to the rate of change or slope of the line.
You can calculate the average rate of change in the given intervals and you will always get the value of 1.
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.
Answer: Cant answer this question because the question doesnt say/contain how many children were there and how many parents were there. if you list this, i can help
Step-by-step explanation:
The image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is:
What is the image of the point (0,5) after a rotation of 180° counterclockwise about the origin?
The rule for the above transformation:
(x, y) → (-x, -y)
(0, 5) → (0, -5)
Thus, the image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Check the discriminant (always a good idea).
b^2 - 4ac
b = -19
c = -15
a = 10
(-19)^2 - 4(10)(-15)
361 + 600
961
Yes it can be factored, but if you like, you could use the quadratic formula.
x = [- (-19) +/- sqrt(961)]/(2 * 10)
x = [19 +/- 31 ] / 20
x = (19 + 31/20
x = (50)/20
x = 5/2
x = [19 - 31] / 20
x = [- 12]/20
x = -3/5
Getting the factors is a little tricky.
(x - 5/2)(x + 3/5) = 0
The first factor is found by putting
x - 5/2 in that form and multiplying through by 2
1/2 (2x - 5) The 1/2 comes from multiplying by 2.
The second factor is
1/5 (5x + 3)
So the equation will look like
1/2(2x - 5)1/5(5x + 3) = 0 If you multiply by 2 you get
(2x - 5)1/5(5x + 3) = 0 and now multiply by 5 you get
(2x - 5) (5x + 3)
Check
2x*5x - 25x + 6x - 15
10x^2 - 19x - 15 = 0
So everything works out.