Victoria’s printer can print 8.804 in one minute if Victoria’s prints page for 0.903 minutes,
We apply unitary method
In one minute the number of pages printed is 8.804. we need to find the number of pages for 0.903 minutes
1 minute = 8.804 pages
0.903 minutes = ? pages
We multiply 8.804 by 0.903
8.804 * 0.903 = 7.95
Number of pages printed = 7.95 pages
Five pairs of points (X,Y) that satisfy the equation Y=-2X+5 may be the following:
For X=0: Y=-2*0+5=5 (0,5)
For X=1: Y=-2*1+5=3 (1,3)
For X=2: Y=-2*2+5=1 (2,1)
For X=3: Y=-2*3+5=-1 (3,-1)
For X=4: Y=-2*4+5=-3 (4,-3)
The slope of the function is m=-2. Correct answer: C
The ostrich can run 20 miles in 40 minutes.
<u>Solution:</u>
Given that, An ostrich run 6 mile in 12 minutes
We have to find how far he could come in 40 minutes
Now, according to the given information
Ostrich runs 6 miles ⇒ 12 minutes
Then, “n” miles ⇒ 40 minutes
Now, by criss cross multiplication we get,
Hence, the ostrich can run 20 miles in 40 minutes
The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
