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mixer [17]
3 years ago
14

Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

the number=A

5xA/7+A=2

5A/7 +A =2

5A/7=2-A/1

7(2-A)=1(5A)

14-7A=5A

14=5A+7A

14/12=12A/12

A=14/12

A=7/6

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A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer
Igoryamba

<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>

<em> </em>  ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>

    ⇒ because of the graph project the computer's value as growing over  

         years

<u>Now let's try to set up an equation</u>:

After 1st year ⇒ Computer's value = total_.value*\frac{1}{2}

After 2nd year ⇒ Computer's value = total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2}  )^2

After 3rd year ⇒ Computer's value =total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3

     

 ..... (<em>Hopefully you see a pattern)</em>

<em />

After x year ⇒ Computer's value = total_.value*(\frac{1}{2})^x

<u>Therefore, the equation is</u>: total_.value*(\frac{1}{2})^x

  ⇒that means the graph has to <u>exponentially decreasing</u> as it has

     an exponent (<em>meaning the function is exponential</em>) and a base less

     than 1 (<em>meaning that the function is decreasing)</em>

<u>Answer: Choice (1)</u>

<u></u>

Hope that helps!

5 0
1 year ago
Reflect across the line y=x. Find the coordinates of the reflected points
sweet-ann [11.9K]
E= 3,-3
I = 4,-3
X = 4,-1
7 0
3 years ago
What is the value of f(3)?
Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0
2 years ago
Which expression is the best estimate of the product of 7/8and 8 1/10?
Vitek1552 [10]

Answer:

7 7/80 or 7.0875

Step-by-step explanation:

product is the result of multiplication

7/8 * 81/10 = 567/80 = 7 7/80 or 7.0875

5 0
3 years ago
PLS HELP ILL GIVE BRAINLIEST
inysia [295]
<h3>Answer:   14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

  • a = 12
  • b = -11
  • c = -5

This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

  • L = length = 4x-5
  • W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0
2 years ago
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