Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)
Complete question is;
Jackson has to repaint some classroom bookcases. He has 2 gallons of paint. All the bookcases are the same size and each requires 2/5 gallon of paint. How many bookcases is he able to repaint with the amount of paint?
Answer:
5 books
Step-by-step explanation:
Jackson has 2 gallons of paint
Now, for us to find the number of bookcases the Jackson will be able to repaint if each bookcase requires 2/5 gallon, we will just divide 2 by 2/5
Thus;
Number of book cases Jackson will be able to repaint = 2 ÷ 2/5
Thus gives; 2 × 5/2 = 5 books
Answer: The range is y ≥ 3.
Step-by-step explanation:
When we have an equation:
y = f(x)
The range is the set of the possible values of y.
In this case, we have:
y = f(x) = 2*x^2 - 20*x + 53
This is a quadratic equation, and the leading coefficient is positive. This means that the arms of the graph will open upwards.
Then the minimum value of y will be the vale at the vertex.
We know that for a quadratic equation of the form:
a*x^2 + b*x + c
The vertex is at:
x = -b/2a
Then in this case, the vertex will be at:
x = -(-20)/(2*2) = 20/4 = 5
Then the smallest value of this function will be:
f(5) = 2*5^2 - 20*5 + 53 = 3
This is the smallest value that y can take, and y can take any value greater than 3.
Then the range can be written as:
y ≥ 3.
Answer: 1575
Step-by-step explanation:
Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441
Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)
441 + 1134 = 1575
Answer: <em>(gºh)(25)=2</em>
Step-by-step explanation:
1. This exercise is about Composition of functions, then you have:
2. Then, you have that
<em>(gºh)(25)</em>
3. Now, you must substitute 25 into the function, as you can see below:
<em>(gºh)(25)</em>
4. Simplify the fucntion.
5. Therfore, you obtain:
<em>(gºh)(25)</em>
