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3 years ago

Change x + 2y = 6 into slope-intercept form.

Mathematics

2 answers:

olga_2 [115]3 years ago

6 0

Answer:

y= -1/2x+3

Step-by-step explanation:

mart [117]3 years ago

4 0

Answer:

The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6.

If we then divide each term by 2, we get the final result of y = -1/2x + 3.

Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.

Step-by-step explanation:

You might be interested in

In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

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

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

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

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

for f(x)=1/x-5 and g(x)=x^2+2 find the expression for g(x) and substitute the value of g(x) into the function in place of x to f

IRISSAK [1]

Answer:

f(x) = (1/x) - 5

g(x) = x^2 + 2

=> f[g(x)] = [1/(x^2 +2)] - 5

5 0

3 years ago

Given the function f(x) = 4(x + 3) -5, solve for the inverse function when x=3

daser333 [38]

Answer: Your answer would be -120

Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.

I hope this helps you!!

6 0

3 years ago

The perimeter cf a rectangle i: 56 inches" the ratio of the length of the width is 6 : 1. Find the length and the width.

sergejj [24]

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length be represented as 6x

And the width be = x

Such that that the Perimeter of the rectangle which is

Perimeter = 2(length + width) becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

8 0

2 years ago

Find the radius of a circle with a circumference of 96 feeer

Gnesinka [82]

The formula for circumference is C = 2πr.

The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.

C = 2πr
C/2π = r
r = C/2π

Now you can plug 96 for C and solve to find r.

r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29

Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.

3 0

3 years ago

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