All categories

3 years ago

What is the graph of the equation 4x – 5y = 15?

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

Answer:

The right graph is A.

Step-by-step explanation:

When x=0, -5y=15, y=-3

That means (0,3) is on that line.

When y=0, 4x=15, x=15/4

That means (15/4,0) is on that line too.

Based on the two points, the graph is A.

Sliva [168]3 years ago

6 0

Answer:

ans is A

Step-by-step explanation:

heres another way to solve this

convert the eqn to standard form:

4x-5y = 15

15+5y = 4x

5y = 4x - 15

y = 4x/5 - 3

with y=mx+C, where m is slope and C is y-intercept

slope is 4/5 positive and y-intercept is -3

the ans is a

You might be interested in

If f(x)=200 x+50 and g (x)=100 x+85 what is f(5)+g(7)

bezimeni [28]

F(5)+G(7) is equal to 1835

3 0

3 years ago

Read 2 more answers

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

Read 2 more answers

What is the value of 8 in the number 33.086?

Paha777 [63]

Answer:

The value of 8 in the number 33.086 would be the hundredth

Step-by-step explanation:

30 would be the ten

3 would be the one

.0 would be tenth

.8 is the hundredth

.6 is the thousandth

3 0

3 years ago

Read 2 more answers

salma has been given a list of 5 bands and asked to place a vote. her vote must have the names of her favorite and second favori

AysviL [449]

Answer:2 votes are possible

Step-by-step explanation:

7 0

3 years ago

To which set of numbers does 8/2 best belong? A. Whole B. Integer C. Rational

tensa zangetsu [6.8K]

I believe it is A. I might be wrong so.

7 0

3 years ago