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3 years ago

Solve 50r − 6 = 82r − 70

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

The correct Answer should be : r=2

Basile [38]3 years ago

6 0

Answer:

Step-by-step explanation: 50r - 6= 82r-70

Add 50r to 82r which equals to 132 r

Now add the the 70 to the left side so -6+70 should equal 76.

Now it should look like this 76=132r

To get the value of r you have to divide 76/132 on both sides of the equation and your answer should be 0.57=r

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A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95

-Dominant- [34]

The profits at x = $185 is 0 and the graph is attached below:

<h3>What is graph?</h3>

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)

The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.

The profits reach a maximum at $140 and then the profits start to reduce as x increases again.

So, the profits at x = $185 is 0.

Learn more about this concept here:

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6 0

2 years ago

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

Data set: 13, x, 4, 16, 6, y
Mean = 12
y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

$\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12$

Let us substitute the value of y (2x) in the data.

$\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12$

Now, add all the terms in the data and simplify.

$\implies \dfrac{39 + x +2x}{6} = 12$

$\implies \dfrac{39 + 3x}{6} = 12$

Distribute the denominators and simplify.

$\implies \dfrac{39}{6} + \dfrac{3x}{6} = 12$

$\implies \dfrac{13}{2} + \dfrac{x}{2} = 12$

$\implies 6.5 + \dfrac{x}{2} = 12$

Subtract 6.5 both sides and simplify.

$\implies 6.5 + \dfrac{x}{2} - 6.5 = 12 - 6.5$

$\implies \dfrac{x}{2} = 5.5$

Use cross multiplication and simplify.

$\implies x= 5.5 \times 2$

$\implies x= 11$

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

$\implies y = 2x$

$\implies y = 2(11)$

$\implies y = 22$

When the x and y values are substituted in the data, we get;

⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0

2 years ago

4x10^2+3x10^3=<br> Please see the attached photo

Alika [10]

Answer:

Step-by-step explanation:

Converting all terms to multiples of 10³ :

4 × 10² + 3 × 10³
0.4 x 10³ + 3 x 10³
(0.4 + 3) × 10³
<u>3.4</u> × 10³

3 0

2 years ago

How did we transform from f(x) =x2 to g(x) = -3x2

Oksi-84 [34.3K]

Answer:

f(x) is reflected over the x-axis and vertically scaled by a factor of 3

Step-by-step explanation:

If you compare the two functions, you see that ...

g(x) = -3f(x)

Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)

Multiplication by 3 is a vertical scaling by a factor of 3.

Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.

7 0

3 years ago

A square patio has a perimeter of (8x + 48) feet. What is the length of the patio?

4vir4ik [10]

Answer:

2x+12

Step-by-step explanation:

We have a square patio, then each side of the patio has the same lengt. As we know the perimeter of a square is the sum of all sides. Then to know the length of the patio we just need to divide by 4 the perimeter.

$\dfrac{(8x+48)}{4}=\dfrac{8x}{4}+\dfrac{48}{4}=2x+12$

Then each side of the square patio has a length of 2x+12

7 0

3 years ago

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