For a box shown in the images, to see the more cost-effective option, one has to simply compare which of the two boxes has the large volume. This can be done by multiplying the length, width, and the height to find the volume. This is shown below:
Box A:
Volume = 2 * 3 * 4 = 24 ft^3
Box B:
Volume = 2 * 5 * 2.5 = 25 ft^3
Therefore, the second box is the more cost-effective of the two.
Answer:
Option B is correct
Step-by-step explanation:
Given data
We are given the expression
-4x + 2y > 12
We want to substitute y=4 into the expression
-4x + 2(4) > 12
-4x + 8 > 12
-4x> 12-8
-4x> 4
divide both sides by -4
x> 4/-4
x>-1
Hence option B is correct
Solution:
As we know π is an irrational number.The value of π is non terminating non repeating.
As we all know , π =
,
The fact is still we are getting an irrational number.
As , 0 is a rational number.
So, The number which when added to π, to get a rational number is (-π).
Answer → π + (-π) = 0, i.e (-π) is that number.
<h2>1.</h2><h3>1)</h3>
Put the given values of p and q in the factored form equation.
... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in
... f(x) = (x +1)(x +2) . . . . . . .simplified
<h3>2)</h3>
Multiplying the factors, we have
... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2
... f(x) = x² +3x +2
<h2>2.</h2>
We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have
... = x(x² -x -6)
Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...
... = x(x -3)(x +2)
<h2>3.</h2>
We want a description of the structure and an equivalent expression for
... 64x⁹ -216
We note that 64, 216, and x⁹ are all cubes, so this expression is ...
... the difference of cubes.
It can be rewritten to
... = 8((2x³)³ -3³)
and so can be factored as
... = 8(2x³ -3)(4x⁶ +6x³ +9)
180=76+4x
180-76=4x
104=4x
104/4=x
26=x
Measurement A= 26
