All categories

2 years ago

Need help please thanks

Mathematics

2 answers:

pav-90 [236]2 years ago

8 0

This equation is in standard form, if you put it into slope-intercept form, you will be able to graph it. Once you graph it you will be able to find the intercepts.

5x - 3y = 15

-3y = -5x + 15

y = 5/3x - 5

X-Intercept: (3,0)

Y-Intercept: (0, -5)

frozen [14]2 years ago

5 0

Answer:

x-intercept = 3 ; y-intercept = -5

Step-by-step explanation:

Lets rearrange the equation into the form y = mx + b:

5x - 3y = 15

-3y = 15 - 5x

Divide by -3:

y = 5x/3 - 5

Here we know that b (-5) is the y-intercept, and we can find the x-intercept by starting at the y-intercept and using the slope till we get the x-intercept. Or you can set y = 0 and solve for x, either way you get x-intercept = 3.

You might be interested in

Consider the following division of polynomials.

Bond [772]

$x^4=x^2\cdot x^2$ . Multiplying the denominator by $x^2$ gives

$x^2(x^2+2x+8)=x^4+2x^3+8x^2$

Subtracting this from the numerator gives a remainder of

$(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8$

$-x^3=-x\cdot x^2$ . Multiplying the denominator by $-x$ gives

$-x(x^2+2x+8)=-x^3-2x^2-8x$

and subtracting this from the previous remainder gives a new remainder of

$(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8$

This last remainder is exactly the same as the denominator, so $x^2+2x+8$ divides through it exactly and leaves us with 1.

What we showed here is that

$\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}$

$=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}$

$=x^2-x+1$

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

$(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)$

$=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)$

$=x^4+x^3+7x^2-6x+8$

which matches the original numerator.

3 0

2 years ago

Read 2 more answers

Arya and Cody each manage a landscaping business.

Viktor [21]

And? Congrats? Please write the full question

3 0

1 year ago

Write a rule for the nth term of the sequence 2,20,50,92?

Tomtit [17]

Answer:

482

Step-by-step explanation:

Their 2nd difference is 12

7 0

2 years ago

Read 2 more answers

Given the parent function p(x) = cos x, which

GaryK [48]

Answer: left a units, down b units

Step-by-step explanation:

5 0

2 years ago

Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of di

FromTheMoon [43]

Answer:

The values are c = 2

Step-by-step explanation:

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that

f'(c) = (f(b) - f(a)) / (b - a)

Therefore,

f(x) = x³ - 3 x² is a function that is continuous on [0, 3] and differentiable on (0, 3), so there exists at least one c in (0, 3) such that

f'(c) = (f(3) - f(0)) / (3 - 0) = (0 - 0) / 3 = 0

where

f'(x) = 3 x² - 6 x,

f(3) = 0

f(0) = 0

Thus, since f'(0) = 3 c² - 6 c = 0, which only has one solution in (0, 3), namely c = 2 ( since the other solution, c = 0, is not in the open interval).

4 0

2 years ago