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3 years ago

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

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

⇒ third choice and fourth choice are eliminated

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

years

Now let's try to set up an equation:

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 = $total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3$

..... (Hopefully you see a pattern)

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

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

⇒that means the graph has to exponentially decreasing as it has

an exponent (meaning the function is exponential) and a base less

than 1 (meaning that the function is decreasing)

Answer: Choice (1)

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
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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