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Sonbull [250]
2 years ago
8

triple one number added to another number is 22. if the second number is equal to 8 less than 2 times the first number, find the

two numbers
Mathematics
1 answer:
Scrat [10]2 years ago
4 0

Answer:

  • 6 and 4

Step-by-step explanation:

Let the numbers are x and y.

<u>Given:</u>

  • 3x + y = 22
  • y = 2x - 8

<u>Solve by substitution:</u>

  • 3x + 2x - 8 = 22
  • 5x = 22 + 8
  • 5x = 30
  • x = 6

<u>Find y:</u>

  • y = 2*6 - 8 = 12 - 8 = 4
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Number created  =  15.5 / 1.25  =  12.4
8 0
3 years ago
You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
3 years ago
Write the quadratic equation whose roots are 3 and −3, and whose leading coefficient is 2
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Answer:

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Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

6 0
3 years ago
Find the area bounded by the graphs of the indicated equations over the given interval.
NeX [460]

Answer:

48

Step-by-step explanation:

y = 0

is basically the horizontal axis.

First, find the integral of x^2-25.

Remember that

integral of a constant is that constant times x.

Also that

to take the integral of a power function, add 1 to the degree and divide by that same degree.

y =  {x}^{2}  - 25

We then get

\frac{ {x}^{3} }{3}  - 25x

Evaluate at -3

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- 27 + 75 = 48

Then we evaluate at 0

\frac{0 {}^{3} }{3}  - 25(0) = 0

Next, we subtract the the answer then we get

48 - 0 = 48

8 0
2 years ago
In a sale, there is 50% off all prices. A chair costs £17.50 in the sale. How much was it before the sale?
HACTEHA [7]
£17.50 is 50% of what number
Now the same in math:
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Divide both sides by .5
n= £ 35
7 0
3 years ago
Read 2 more answers
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