The cubic parent function y=x^3 contains the point (2,8). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point
Answers
Answer:
The new coordinate are (8,-8)
Step-by-step explanation:
Whenever a graph is reflected about the x-axis, positive y values become negative and vice versa. In this case positive y(8) becomes negative (-8). While the x values remain unchanged.
So the coordinates when moving by one unit will be (2,-8)
Shifting it 6units to the right increases the x values by six to give the new coordinates which is (8,-8)
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True or false: The midpoint of a given line segment must lie on the given line segment?
B. 4d + $13.00 – $6.00 = $13.20; $1.55
C. 4d + $13.00 – $6.00 = $13.20; $1.60
D. 3d + $13.00 – $6.00 = $13.20; $2.07
Answers
If John and 3 friends ordered pizza for $13.00 and they paid $13.20 where in they also used the $6.00 gift certificate. Then we can deduce that the total amount of the bill was $13.20 + the gift certificate which is $6.00 which is equal to $19.20 and since the pizza was for $13.00 then we can deduct this from the total bill to get the amount of the drinks, ergo $19.20 - $13.00 = $6.20 since there were 4 large drinks so we divide the total amount of the drinks to the number of drinks. We would have $6.20 / 4 = $1.55 / large drink.
So the answer would be:
B. 4d + $13.00 – $6.00 = $13.20:$1.55
Answers
P=Parenthesis.
E=Exponent.
MD=Multiplication/Division
AS=Addition/Subtraction
Be sure to follow the order
Answer: PEMDAS Stands for:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
All you have to do is do the equation in this order!
y – x ≥ 1
Answers
Given inequalities are
and
Now we will graph both inequalities to get the common region which represents solution.
Work for
first we graph the line x+y=4 then shade the graph for inequality symbol
we can plug any random number for x and find y-value to get points
lets plug x=0 then we get:
x+y=4
0+y=4
y=4
so the point is (0,4)
Similarly we can find more point like (4,0).
Now graph both points and join both points by straight line.
Now we find direction of shading.
pick any test point which is not on that line x+y=4 say (0,0)
and plug it into orinal inequality
which is true.
True means shade in direction of test point. Otherwise we shade in opposite direction.
We will repeat same process for other inequality to graph that.
Hence final graph for the answer will be as shown in attached image.
Triangular region ABC is final answer.
The coin falls down with an average speed of 132.3 meters per second from 3 seconds to 6 seconds.
The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.
The coin travels an average distance of 132.3 meters from 3 seconds to 6 seconds.
The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.
Answers
change in time = 6 - 3 = 3
The object travels 132.3 meters in 3 seconds
the speed is the ratio of the two values
speed = distance/time
speed = 132.3/3
speed = 44.1 meters per second
This is the average speed of the object from t = 3 to t = 6 seconds. This is equivalent to the slope of the straight line through the two points.
The answer is The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.`
Answers
The quotient is the decimal form of the ratio.
h(x)=-(x-3)^2+4
compare to the graph
g(x)=x^2