All categories

3 years ago

Y - 4x = -2 2y - 8x = -4

Mathematics

2 answers:

nalin [4]3 years ago

7 0

Answer:

(x, -2+4x)

Step-by-step explanation:

See The image below:)

Fudgin [204]3 years ago

3 0

Answer:

Using substitution method

First make y in equation 1 the subject of formula

Y=4x-2

Sub in equation 2

2(4x-2)-8x=4

8x-4-8=4

8x=4+12

8x=16

X=2

Sub in any of equation to get y

Step-by-step explanation:

Y =4(2)-2=6

You might be interested in

In quadrilateral DBCA, name the angles which are consecutive with angle D.

lisov135 [29]

Answer: The consecutive angles with angle D are B and A.

Explanation:

It is given that DBCA is a quadrilateral. Since it is a quadrilateral it means the have 4 vertices and 4 angles D, B,C,A.

The angles are formed in the order of the figure name. If the quadrilateral name is DBCA, So the order of the angles are D,B,C,A. It means the angle immediate after D is B, the angle immediate after B is C, the angle immediate after C is A and the angle immediate after A is D.

If the quadrilateral name is DBCA it means the sides are DB, BC, CA and AD as shown in the figure.

Consecutive angles of D means the angle immediate before and after the angle D.

In the figure there are some types of quadrilateral and from the figure we can easily noticed that the consecutive angles with angle D are B and A.

3 0

4 years ago

Read 2 more answers

The Capitalist Mutual Fund's portfolio is valued at $45 million. The fund has liabilities of $3 million, and the investment comp

scZoUnD [109]

The answer would be $26.25.

Solution
$45m - $3m = $42M

$42M divided by 1.6M = $26.25 per share

4 0

3 years ago

Read 2 more answers

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 126 in. Find

Zarrin [17]

Answer:

The package of maximum dimensions has:

Width and height = 21 in each , and length = 42 in

Step-by-step explanation:

A package of square cross section has a girth equal to the perimeter of the square ("4 x" if we consider "x" as the side of the square). This quantity, added to the package's length "L" has to be no more than 126 in.

The maximum allowed for priority mail is therefore: $4x+L=126 \,in$

At the same time, we want the volume of the package to be a maximum. The volume of this parcel is defined as the product of all three dimensions of the package:

$V=width\,*\,height\,*\,length\\V=x\,*\,x\,*\,L\\V=x^2\,L$

We can now use the first formula for the priority mail maximum dimensions, to write L in terms of "x" and replace it in the volume formula:

$4x+L=126 \,in\\L=126-4x$

So now the volume expression becomes:

$V=x^2\,(126-4x)=126x^2-4\,x^3$

If the student doesn't know calculus, a graphing tool can be used to find the maximum.

With calculus derivatives the maximum can be easily found:

We can request the derivative of the volume to satisfy the conditions for derivative = 0 and the function concave down to locate the function's "maximum".

$V'(x)=252\,x-12\,x^2\\0=252\,x-12\,x^2\\0=12\,x\,(21-x)$

This tells us that there are two solutions to the derivative equal zero:

$x=0\,\,and\,\,x=21$

The first solution is clearly a minimum since it would render a package of zero volume. the second solution ( $x=21$ ) is the one that corresponds to the maximum of the volume function.