MATHEMATICS COLLEGE

What is the x-and y-intercept of the graph 4x -5y =40??

Answers

Answer 1
Answer:

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

4x-5y=40

To identify the y-intercept, we will need to format the equation in the form y=mx+b. We can start by subtracting 4x from both sides of the equation:

-5y=-4x+40

Divide both sides of the equation by the coefficient of y, which is -5:

y=(-4)/(-5) x - 8

The b is representative of the y-intercept in y=mx+b.

Identify b in the equation y=(-4)/(-5) x - 8:

b=-8

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the y in the equation y=(-4)/(-5) x - 8 with a zero:

0=(-4)/(-5) x - 8

Add 8 to both sides of the equation:

8=(-4)/(-5) x

You can go ahead and divide -4 by -5 to get rid of the fraction:

8=0.8x

Divide both sides of the equation by the coefficient of x, which is 0.8:

10=x

Therefore, our x-intercept is 10.

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Answers

The missing justification is for the statement that three angles add to a particular angle. The appropriate choice is ...

... c. Angle Addition Postulate

A ferryboat makes four trips to an island each day.The ferry can hold 88 people.If the ferry is full on each trip,how many passengers are carried by the ferry each day?

Answers

That would be four times 88 passengers:  352 passengers per day.

Answer: 352

Step-by-step explanation:

88x4

Dave has already written 5 pages, and he expects to write 3 pages for every additional hour spent writing. Write a equation that shows the relationship between the hours spent writing x and the total pages written y.Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y=3x+5

Step-by-step explanation:

He starts out with 5 pages already written then every hour after that he writes 3 more so plug in any amount of hours in for x and you will find how many pages he's written plus the 5 that he started out with.

Twenty-one less than a number is seven. What is the number?
3
14.
28
147

Answers

Answer: the answer will be 28

Step-by-step explanation:

First you have to add 21+7 which equals to 28 and that's how I got my answer.

Please mark me brainiiest.

Answer:

28

Step-by-step explanation:

add 7 + 21

Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?​

Answers

The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

What is the product of functions?

When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.

Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,

f(x)* g(x)

Let suppose, a function f(x) is

f(x)= tan(x)-(2)/(x)

Let another function g(x) is,

g(x)= x^2+8

Then g(y), will be,

g(y)= y^2+8

The product of this two function is,

f(x)* g(y)= \left(\tan(x)-(2)/(x)\right)*(y^2+8)\nf(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

f(x)* g(y)= y^2\tan(x)+8\tan(x)-(2y^2)/(x)-(16)/(x)

Learn more about the composite function here;

brainly.com/question/10687170

Answer:

Step-by-step explanation:

(x)*g(y)

=(tanx-2/x)*(y²+8)

=y²tanx+8tanx-2y²/x-16/x

What value of b will cause the system to have an infinite number of solutions? V = 6x + b
-3 x + 1/2 V = -3

Answers

Answer:

-6

Step-by-step explanation:

V = 6x + b

 1/2 V -3 x = -3

V - 6x = -6

V - 6x  =  b
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