Question (1):
Price last week = $6.00
Price this week = $7.20
Increased = $7.20 - $6.00 = $1.20
Answer : Percentage increased = $1.20/$6.00 x 100 = 20%
Question (2):
Original Price = $90
Marked down = 35% of $90 = 0.35 x 90 = $31.50
Price after marked down = $90 - $31.50 = $58.50
Answer: Lilly will pay $58.50 for the football cleats.
Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
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<em>Additional comment</em>
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
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For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Answer:
The equation of circle is:
Solution:
The general form of equation is given as:
Where, "r" is radius of circle and (a, b) is center of circle
Given that center at (-2, 1)
a = -2 and b = 1
Substitute (a , b) = (-2, 1) and (x, y) = (-5, -3) in general equation
Substitute r = 5 and (a, b) = (-2, 1) in general equation
Thus the equation of circle is found
Answer:
a
Step-by-step explanation:
Solving the inequality
>
+ 1
Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions
2(x + 3) > 3x + 12
2x + 6 > 3x + 12 ( subtract 2x from both sides )
6 > x + 12 ( subtract 12 from both sides )
- 6 > x , that is
x < - 6
The only value less than - 6 is - 10
Thus x = - 10 is a solution to the inequality