All categories

3 years ago

Slop = -3; intercept= 4

Mathematics

2 answers:

Katarina [22]3 years ago

7 0

3x+y=4..... Is equation

IgorLugansk [536]3 years ago

5 0

Answer:

y=-3x+4

this is because the slope is -3 so you put it in front of the x to add the value of it to the x (multiply) and the intercept is the same but you actually add it to the value of x not multiply

You might be interested in

One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo

stich3 [128]

5 hours long would it take the faster maid cleaning alone.

What is a linear equation in math?

A linear equation only has one or two variables.
No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

$x_{2} = 4x_{1}$ ( 4 time faster maid )

Now, time taken by both of the made together is given by ,

$( \frac{x_{1}x_{2} }{x_{1} + x_{2} } )$

$\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} } = 4 hours$

$\frac{4x_{1} }{5} = 4 hours$

$x_{1} = 5 hours$ which is the time required by faster maid.

Learn more about linear equation

brainly.com/question/12974594

#SPJ4

8 0

2 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

ANTONII [103]

Answer:

Maximum value: $3* \sqrt{n}$

Minimum value: $-3* \sqrt{n}$

Step-by-step explanation:

Let $g(x) = x_1^2 + x_2^2+x_3^2+ ----+ x_n^2$ , the restriction function.The Lagrange Multiplier problem states that an extreme (x1, ..., xn) of f with the constraint g(x) = 9 has to follow the following rule:

$\nabla{f}(x_1, ..., x_n) = \lambda \nabla{g} (x_1,...,x_n)$

for a constant $\lambda$ .

Note that the partial derivate of f respect to any variable is 1, and the partial derivate of g respect xi is 2xi, this means that

$1 = \lambda 2 x_1$

Thus,

$x_i = \frac{1}{2\lambda} = c$

Where c is a constant that doesnt depend on i. In other words, there exists c such that (x1, x2, ..., xn) = (c,c, ..., c). Now, since g(x1, ..., xn) = 9, we have that n * c² = 9, or

$c = \, ^+_- \, \sqrt{\frac{9}{n} } = \, ^+_- \frac{3}{\sqrt{n}}$

When c is positive, f reaches a maximum, which is $\frac{3}{\sqrt{n}} + \frac{3}{\sqrt{n}} + \frac{3}{\sqrt{n}} + ..... + \frac{3}{\sqrt{n}} = n * \frac{3}{\sqrt{n}} = 3 * \sqrt{n}$

On the other hand, when c is negative, f reaches a minimum, $-3 * \sqrt{n}$

8 0

4 years ago

What point on the curve y = √ x is closest to the point (5, 0)?

Alekssandra [29.7K]

For a given (x,√x) on the curve, its distance to (5,0) can be calculated by pythagoras as:

D = √((5-x)² + √x²) = √(x²-9x+25)

We have to find the lowest D. To calculate that, we can find the minimum of x²-9x+25 which is at 9/2 (remember the -b/2a formula).

So the distance is minimal at the point (9/2, 3/√2)

4 0

4 years ago

Using your knowledge about powers of 10 and decimals, determine the value of the metric measurements. - 3 km= ? m

Nikolay [14]

Km=kilometer
m=meter
kilo=1000
kilometer=1000meters
3km= 3 thousand meters

answer is 3000

5 0

3 years ago

James and Simon have a reading assignment to complete. James has read r pages, and Simon has read 75 pages. Together they have r

lakkis [162]

R + 75 = 200 . You take away 75 from 200 and r = 125 so 125 is the answer

5 0

4 years ago

Read 2 more answers