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3 years ago

3x+4y=17 solve for y.

Mathematics

2 answers:

Aloiza [94]3 years ago

7 0

$3x+4y=17\ \ \ /-3x\\\\4y=17-3x\ \ \ \ /:4\\\\y=\frac{17-3x}{4}\\\\y=4.25-0.75x$

Sedbober [7]3 years ago

7 0

Isolate "y":

$3x+4y=17\\
\\
4y=17-3x\\
\\
\boxed{y=\frac{17-3x}{4}}$

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which function has an inverse that is also a function? a. g(x) = 2x-3 b. k(x) = -9x2 c. f(x) |x+2| d. w(x) = -20

motikmotik

Answer:

Step-by-step explanation:

A function have the inverse only if it passes the horizontal line test ,

For the given options we need to look for the function which passes the horizontal line test

Option A is g(x)= 2x-3 which is a straight line with slope not equal to 0 so it passes the horizontal line test and hence it will have an inverse which is also a function.

Option B: we need to restrict the domain to get the inverse so the option B is not correct .

Option C : It also fails the horizontal line test .

Option D : Horizontal line so it also fails the horizontal line test .

5 0

4 years ago

write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin

Burka [1]

Answer:

$y=\frac{2}{3}x-\frac{16}{3}$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,5) and (-4,8)

substitute the values in the formula

$m=\frac{8-5}{-4+2}$

$m=\frac{3}{-2}$

$m=-\frac{3}{2}$

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

$m_1=-\frac{3}{2}$ ----> slope of the given line

therefore

$m_2=\frac{2}{3}$ ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{3}$

$point\ (-1,-6)$

substitute

$y+6=\frac{2}{3}(x+1)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+6=\frac{2}{3}x+\frac{2}{3}$

$y=\frac{2}{3}x+\frac{2}{3}-6$

$y=\frac{2}{3}x-\frac{16}{3}$

4 0

4 years ago

Please help!! thank you

Ganezh [65]

I got .00390625 for the answer

8 0

4 years ago

Read 2 more answers

What is the derivative of e^(2x)

KIM [24]

Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).

5 0

3 years ago

What is the solution of the following system 3x+3y=10 -9x-9y=-30

Gelneren [198K]

we have

$3x+3y=10$ --------> equation $1$