Answer:
Option C 
Step-by-step explanation:
we have
The compound inequality can be divided into two inequality
-----> inequality A
----> inequality B
Solve inequality A
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Rewrite
The solution of the inequality A is the interval (-∞,-3]
Solve the inequality B
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
The solution of the inequality B is the interval [-6,∞)
The solution of the compound inequality is
[-6,∞) ∩ (-∞,-3]=(-6,-3]
Answer:
12
Step-by-step explanation:
She has 15 feet of floss. 15/1.25 is 12.
Hope this helps!!
No, the radius is not 3.14 . The radius is 1/2 of the diameter . . . That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .
The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.
But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.
That's called the "area" of the table, not the "square feet" of the table.
And another thing: I see you're asking for the "closest" number. Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.
It can not be simplified anymore
f(x) = (x - 4)^2 - 1
g(x) = -(1/4) ( x - 4)^2 + 4
both the x and y values have to be the same. Start with the y values
f(x) = g(x)
(x - 4)^2 - 1 = -(1/4) (x - 4)^2 + 4 Add 1 to both sides.
(x - 4)^2 = -(1/4) (x - 4)^2 + 5 Add 1/4(x - 4)^2 to both sides.
(5/4) (x - 4)^2 = 5 Divide by 5/4 on both sides.
(x - 4)^2 = 5//(5/4)
(x - 4)^2 = (5/1)//5/4 Invert the second fraction and multiply
(x - 4)^2 = 5/1 * 4/5
(x - 4)^2 = 4 The 5s cancel
(x - 4)^2 = 4 Take the square root of both sides.
(x - 4) = +/- 2 Add 4 to each answer. Start with +2 on the right.
x - 4 + 4 = 2 + 4
x = 4 + 2 = 6
The x value that makes f(x)- g(x) = 0 is x = 6 The point is (6,3) answer.
Answer C.
================================================
You do not need this next part. It is just for completeness.
x - 4 = - 2
x = 4 -2
x = 2
What are the y values for these 2 x values?
y = (x - 4)^2 - 1
y = (6 - 4)^2 - 1
y = 4 - 1
y = 3
The point where f(x) - g(x) = 0 is (6,3) <<<<<< Answer 1
The second point is
y = (x - 4)^2 - 1
y = (2 - 4)^2 - 1
y = (-2)^2 - 1
y = 4 - 1
y = 3
The second point is (2,3). Answer 2
Note the y values are the same. You might expect that.
