Answer: The answer to the first question is 2.31. The answer to the 2nd is 1.67.
Step-by-step explanation: Look out for the numbers behind the decimals because they will help you know where to put the decimal point. 1/3=0.3333333333 (3 repeating). Hope this helps!
Answer:
145
Step-by-step explanation:
Hey there!!
How do we find inverses?
In versing is the just the flip-flop of the x and y.
Given equation :
...f(x) = √(2x-6)
... y = √(2x-6)
... x = √(2y-6)
Square on both sides
... x² = 2y-6
... x² + 6 = 2y
... x² + 6 / 2 = y
Inverse :
f(x) = ( x² + 6 ) / 2
( ii ) f(x) = ( x - 2 )³ + 8
... y = ( x - 2 )³ + 8
... x = ( y - 2 )³ + 8
... x - 8 = ( y - 2 )³
... cube root on both sides
... ∛( x - 8 ) = y - 2
... ∛(x - 8 ) + 2 = y
Inverse :
f(x) = ∛( x - 8 ) + 2
Hope my answer helps!!
Let
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using
≥
in the inequality.
So, our inequality is
9.50
h
≥
247
To solve, we simply divide both sides by
9.50
:
h
≥
247
9.50
h
≥
26
You need to work at least
26
hours to buy the digital
The dimension of the box is 50in by 10in by 15in
<h3>How to calculate the volume of a figure</h3>
The volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
- l is the length
- w is the width
- h is the height
Given the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
<u>Factorize to determine the width</u>
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
<u>Get the height</u>
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
Learn more on volume of box here: brainly.com/question/14957364
