The translations would be this
1) reflection over the x-axis
2) translation of (-6,0)
Answer:
rational
Step-by-step explanation:
enjoy the great answers
Answer:
A
Step-by-step explanation:
The function is f(x) = 15x + 25 as 25$ is a fixed rate ( it does not change and is always charged) when 15$ for any other service which can be anything, a costumer can have 0 services other than the hair cut which gives f(0). As for the question, it's asking for haircut, shampoo, highlight, and blow dry so that is 3 other services other than the fixed haircut which means f(3). substitute x=3 in the function to get 15(3) + 25 = 45+25 = 70.
Answer:
first get the total ratio; 2 + 5 = 7
so the fraction of blue marbles is 5/7
then assume the number of total marbles to be k
then use the expression;
5/7*k = 65
7*5/7 * k = 65*7
5k =455
5/5k = 455/5
k = 91
then calculate the number if red marbles from;
x = 2/7*91
x = 26
Therefore there are 26 red marbles.
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.