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3 years ago

2/3x+1/3y=2 in graph

Mathematics

1 answer:

Nady [450]3 years ago

6 0

Solve for y:

$\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6$

It's the slope intercept form of a straight line.

We need only two points to draw a straight line.

$for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)$

Look at the picture.

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Casey buys a bracelet. She pays for the bracelet and pays $0.72 $0.72dollar sign, 0, point, 72 in sales tax. The sales tax rate

Bogdan [553]

To find your answer you could type in the cost and multiply it by the tax rate, so $0.72 X $0.06(The tax rate )= $0.0432

You then subtract 0.0432 from 0.72 and get 0.6768

rounded it would be $0.68

Hope this is right..

4 0

2 years ago

Read 2 more answers

10. If the sum of the measures of the interior

BigorU [14]

Answer: 32 sides

Step-by-step explanation:

Formula for interior angle of a polygon = ( n - 2 )180°, where n is the number of sides of the polygon

Now equate the formula to 5400°

( n - 2 ) × 180° = 5400°

open bracket by multiply by 180°

180n° - 360° = 5400°

180n° = 5400° + 360°

180n° = 5760

n = ⁵⁷⁶⁰/₁₈₀

n = 32

so the polygon has 32 sides

3 0

2 years ago

Carlos has 315 rows of plants left to water. If Carlos has 23 gallons of water in his bucket, how many gallons of water can Carl

baherus [9]

Answer:

The answer is 13.6

Step-by-step explanation:

13.6 in fraction form is $\frac{68}{5}$ or $13\frac{3}{5}$

3 0

2 years ago

I NEED a LOT of help PLEASE!

Andru [333]

4.12 is equal to

4+ 12/100

Now to convert a mixed number to an improper fraction the rule is:

a b/c=(ac+b)/c so we have

412/100

103/25

5 0

2 years ago

Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.

horrorfan [7]

Answer:

Remember, $(f\circ g)(x)=f(g(x))$ and the range of g must be in the domain of f.

$f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2$

$g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1$

The domain of f(g(x)) and g(f(x)) is the set of reals.

$f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4$

$g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2$

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that $x^2-x\geq 0$

$f(g(x))=f(\frac{1}{x-1})=(\frac{1}{x-1})^2=\frac{1}{(x-1)^2}$

$g(f(x))=g(x^2)=\frac{1}{x^2-1}$

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

$f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}$

$g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}$

The domain of f(g(x)) is the set of reals except 2, and the domain of g(f(x)) is the set of reals except -1.

$f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1$

$g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)$

The domain of f(g(x)) is the set of nonnegative reals except -3. The domain of g(f(x)) is the set of nonnegative reals except -2.

3 0

2 years ago