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3 years ago

Write the equation of each line in slope intercept form

Mathematics

1 answer:

aalyn [17]3 years ago

8 0

Answer:

y = 3x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

We have a point we can substitute into the line

5 = 3(1)+b

Subtract 3 from each side

5-3 =3+b-3

2 =b

y = 3x+2

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I have one more question before im done so please help and have a good day.

3241004551 [841]

Answer:

See below

Step-by-step explanation:

<u>Solve the equation:</u>

6x² + 48x + 120 = 0
x² + 8x + 20 = 0
x² + 8x + 16 + 4 = 0
(x + 4)² + 4 = 0
(x + 4)² = - 4

The left side is positive and right side is negative so no solution

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake

6 0

2 years ago

What is the variable of 18+t

Dmitry_Shevchenko [17]

T because all variables are letters

6 0

3 years ago

Read 2 more answers

Factor.<br><br> 9x2−25y2<br><br> Enter your answer in the boxes.<br> (<br> )(

Anettt [7]

Answer:

( 3x + 5y) • (3x - 5y)

Step-by-step explanation:

hope this helps:))

3 0

2 years ago

Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number

Tanzania [10]

This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)

A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)

The diagonal is 11 feet (to the nearest whole number)

7 0

3 years ago