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2 years ago

The system equations 2y=14-2x and y=-x+7

Mathematics

1 answer:

Artemon [7]2 years ago

6 0

Answer:

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps! :D

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Need help with solving please solve!

valkas [14]

Answer:

(a) S= $\frac{D}{T}$

(B) S(average speed)=65.04 $\frac{km}{hr}$

Step-by-step explanation:

Given

D=S*T

So, S= $\frac{D}{T}$

and

T=11.5 Hr

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3 years ago

Howmany lines of symmetry does a circle have

d1i1m1o1n [39]

It has infinite lines of symmentry

8 0

3 years ago

Read 2 more answers

a clown needed 275 ballons for a party. the ballons only came in two pack. how many packs of ballons would he need?

MA_775_DIABLO [31]

If i understood your question right you are asking if a clown needs 275 balloons but there is only 2 balloons per pack. you would need 137.5 packs but you'd probably round up to 138.

Hope that helps

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3 years ago

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For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number

Ulleksa [173]

ANSWER
$x \: > \: 17$

EXPLANATION

The given function is

$f(x) = 2 {x}^{2} - 31x - 51$
Let us split the middle term to get,

$f(x) = 2 {x}^{2} -34x + 3x- 51$

We factor to obtain,

$f(x) = 2x(x - 17) -+3(x - 17)$

$f(x) = (2x -+3)(x -17)$

Let us find the zeros of f(x),

$(2x +3)(x - 17) = 0$

Either

$2x +3 = 0 \: or \: x - 17 = 0$
$x = -\frac{3}{2} \: or \: x = 17$

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

$\frac{- \frac{3}{2} + 17}{2} = 7.75$
Hence the axis of symmetry of the parabola has equation,

$x = 7.75$

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
$x \: > \: 7.75$

The function will be increasing and positive for
$x \: > \: 17$

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3 years ago

The length of a rectangle is 2 more than twice the width. The perimeter is 76 feet. Find the length and width of the rectangle.

vlabodo [156]

So we can set x= width
2x+2 = length
so 2(x)+2(2x+2)= 76
so that will give us 2x+4x+4=76
6x=72
x=12
so 12 is width and 26 is length

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3 years ago