Answer:
- x -4 = (-3/2)(y +1)^2
- vertex: (4, -1)
- focus: (3 5/6, -1)
- directrix: x = 4 1/6
Step-by-step explanation:
To get your desired form, you must divide the equation by -2. Then you have ...
x -4 = (-3/2)(y +1)^2
This form shows you the vertex is (h, k) = (4, -1).
When the scale factor "a" is written as 1/(4p), then the value of p is the distance from the focus to the vertex. We can find p from ...
(-3/2) = 1/(4p)
p = 1/(4(-3/2)) = -1/6
Since the parabola opens to the left, the focus is ...
(4-1/6, -1) = (3 5/6, -1)
and the directrix is in the opposite direction, at x = 4 1/6.
HOW TO WORK OUT
cross multiply so $24 is 80% because it was 20% discounted so..
24 = 80%
? = 100%
24 x 100 = 2400
2400 divided by 80 = 30
$30 was the original price
HOW TO CHECK
20% of $30
again you cross multiply so..
$30 = 100%
? = 20%
30 x 20 = 600
600 divided by 100 = 6
$30 - $6 = $24 which was the discounted pricw
Answer:
Step-by-step explanation:
Integers with a product of 567 are ...
567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27
The last of these pairs of factors have a difference of 6, so they are the answers.
Jackie's number is 27; Adrian's number is 21.
_____
You could let "a" represent Adrian's number and write the equation ...
a(a +6) = 567
a^2 +6a +9 = 576 . . . . . complete the square
(a +3)^2 = 24^2 . . . . . . . write as squares
a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3
Adrian's number is 21; Jackie's number is 27.
9514 1404 393
Answer:
B. y = -6.2x
Step-by-step explanation:
If the y-intercept is zero (the graph passes through the origin), then its slope-intercept equation is ...
y = mx + b
y = mx . . . . . line with slope m and y-intercept of 0
When the slope is -6.2, the equation is ...
y = -6.2x
Answer:
A
Total before tax: $118
Total after tax: $102.66
Step-by-step explanation:
For A, we add the cost of the shirt and jeans to get the total before tax.
$39.20 + $79.80 = $118.00
For the total, after 13% we see how much 1% is.
1% of $118 is $1.18
$1.18 * 13 = $15.34.
$118 - $15.34 = $102.66
Hope this helped! Have a nice day :)
