The first one is y=6(x-2)^2+4 and the second one is y=-3/2(x+6)^2+4
Answer:
A
Step-by-step explanation:
Area of rectangle = length x width
length = 5x - 2
width = x
area = (5x - 2) × x
100 = 5x² - 2x
the width would be less than the area of the rectangle, thus the inequality sign to be used is <
5x² - 2x < 100
Answer:
The function has two x-intercepts.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
Step-by-step explanation:
Given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
f(x) = 2x² - x - 6 has the following coefficients:
a = 2
b = -1
c = -6
x-coordinate of the vertex is:
x = -b/(2a)
x = 1/(2*2) = 1/4
y-coordinate of the vertex is:
f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8
Answer:
Find the LCD of the first two, then the LCD of that and the third one.
Step-by-step explanation:
You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.
Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.
___
<u>Example:</u>
1/21 + 1/35 + 1/45
The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...
(105·45)/15 = 315
__
Using factoring ...
- 21 = 3·7
- 35 = 5·7
- 45 = 3²·5
LCD = 3²·5·7 = 315
In the question, they give you the formula for speed...
speed = distance / time
They also give you the distance and the time, so all we have to do is stick them into the equation...
speed = 3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3
To divide the fractions, first we need to convert 3 2/3 into an improper fraction
3 2/3 = 11/3
now we multiply 11/3 x the reciprocal of the divisor 1/3. The reciprocal just means flip the numerator and denominator
speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour