3 years ago

Simplify for x: 2/3 = x-1/5

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

x=13/15

Step-by-step explanation:

2/3=x-1/5

find LCD=15

10/15=x-3/15

add 3/15 to both sides

13/15=x

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Which of the following lists is in order from smallest to largest?

kupik [55]

Answer:

Step-by-step explanation:

1/2 = 0.5

5/8 = 0.625

7/11 = 0.63

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3 years ago

Let f(x) = 5x + 12. Find f^−1(x).

Ira Lisetskai [31]

Answer:

$\huge\boxed{f^{-1}(x)=\dfrac{1}{5}x-3}$

Step-by-step explanation:

$f(x)=5x+15\to y=5x+15\\\\\text{exchange x to y and vice versa}\\\\x=5y+15\\\\\text{solve for}\ y\\\\5y+15=x\qquad|\text{subtract 15 from both sides}\\\\5y=x-15\qquad|\text{divide both sides by 5}\\\\y=\dfrac{1}{5}x-3$

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3 years ago

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inna [77]

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

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3 years ago

ILL MARK BRAINIEST IF YOU CAN DO THIS CORRECTLY!!!

skelet666 [1.2K]

Answer:

76/100

Step-by-step explanation:

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3 years ago

What number needs to be added to both sides of the equation to complete the square? X^2−7x=5 Enter your answers in the boxes.

Andrew [12]

ANSWER

We need to add half the coefficient of $x$ all square.

$\frac{49}{4}$

EXPLANATION

Given the equation,

$x^{2} -7x=5$ .

We compare to the general equation,

$ax^2+bx+c=0$

This means that;

$a=1,b=-7,c=-5$

To complete the square we add, $(\frac{b}{2})^2$

That is $(\frac{-7}{2})^2=\frac{49}{4}$ .

Hence the number to be added to both sides is $\frac{49}{4}$ .

Note that before we complete the square, the coefficient of the term in $x^2$ must always be 1.

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3 years ago