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Readme [11.4K]
2 years ago
9

Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

a case. Write an inequality for the number of cases they go through in 30 days. ​
Mathematics
1 answer:
kaheart [24]2 years ago
8 0

Answer: The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

      x ≥            ⇒     x    ≥            ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75

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Which equation is the inverse of y = 9x2 - 4?
m_a_m_a [10]

Answer:

The inverse will be:

y' = \frac{\sqrt{x+4}}{3}

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

f(x)  = 9x^{2} - 4

y = 9x^{2} - 4

x = 9y' ^{2} - 4

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

x + 4= 9y'^{2} - 4+4

9y'^{2} = x + 4

Second divide by 9

9y'^{2}/9 = (x + 4)/9

y'^{2} = (x + 4)/9

Now you will have to clear y, with the square root.

[tex]y'^{\frac{2}{2}} = \sqrt{x + 4}  / \sqrt{9}[/tex] =

Simplifying terms

y' = \frac{\sqrt{x+4}}{3}

f^{-1}(x)  = \frac{\sqrt{x+4}}{3}

You can check the answer by doing the evaluation of the following equation:

(f o f^{-1} ) (x)

substitute the equation for y' or inverse function f^{-1}

f(\frac{\sqrt{x+4} }{3})

Now substitue the value into f(x)

You will have

= 9(\frac{\sqrt{x+4} }{3}} )^{2}  - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} )  - 4

=x

5 0
3 years ago
If you start with Malvin’s age, take half of it, increase that result by 5, then divide by 3, and finally double that, you get 8
Kisachek [45]

Answer:

24 years old

Step-by-step explanation:

Let Malvin's age be x.

  • x / 2
  • x / 2 + 5 = 5x / 10  [ By taking the L.C.M.]
  • ( 5x / 10 ) * ( 1 / 3 ) = 5x / 30   [ Multiply with the reciprocal of 3 ]
  • ( 5x / 30 ) * 2 = 5x / 15

Now let's solve the equation,

5x / 15 = 8

       5x = 8 * 15

       5x = 120

         x = 120 / 5

         x = 24

Therefore, Malvin is 24 years old.

Hope yo liked the answer!!

If you found it helpful, please mark it as the Brainliest!!

3 0
2 years ago
What is 1/6 as a percentage
erica [24]
Just take 1 divided by 6
1/6=0.16666667
4 0
3 years ago
Read 2 more answers
D+g/h for d =29, for g=16,h=9
dsp73

Answer: 31  and 1/9

Step-by-step explanation:

d =29, for g=16,h=9

replace values of each number in equati/on:

d+g/h=29+19/9=(9*29+19)/9=( 261+19)/9=280/9= 31 and 1/9

8 0
3 years ago
Read 2 more answers
Add and reduce 2/7+ 16/21=
max2010maxim [7]

Answer:

6/7

Step-by-step explanation:

8 0
2 years ago
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