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barxatty [35]
3 years ago
7

What is the value of x, given the following system of linear equations? x + y = 8 and x - y = 2

Mathematics
2 answers:
zaharov [31]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

x + y = 8 \\ x - y = 2 \\ x + y + (x  - y) = 8 + 2 \\ x + y + x - y = 10 \\ 2x = 10 \\  \frac{2x}{2}  =  \frac{10}{2}  \\ x = 5 \\  \\ x + y = 8 \\ 5 + y = 8 \\ y =  8- 5 \\ y = 3 \\  \\ x - y = 2 \\ 5 - 3 = 2 \\ 2 = 2

Gala2k [10]3 years ago
3 0

Answer:

6

Step-by-step explanation

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What is the definition of marginal​ utility? A. The average utility from consuming a good or service multiplied by the number of
Ilya [14]

Answer:  Option 'E' is correct.

Step-by-step explanation:

Marginal utility is the addition utility derived from each successive unit of a particular good.

so, marginal utility is the change in utility from consuming an addition unit of a good or service.

Mathematically, it is expressed as

MU=\dfrac{\Delta TU}{\Delta Q}

Hence, Option 'E' is correct.

4 0
3 years ago
Urgent help!!! <br><br> Write equation in slope intercept form.<br><br> 1.25 (25) = 31.25
Fantom [35]

The equation in slope intercept form is,31.25 = 1.25 \times 25 +0. The given equation is obtained by comparing the standard equation of the straight line.

<h3>What is a slope of a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The given equation is;

1.25 (25) = 31.25

31.25=1.25 (25)

The standard equation of the slope intercept form. is;

\rm y = mx +x

On comparing the given equation with the above equation, we get;

y=31.25

m=1.25

x=25

c=0

The equation in slope intercept form is;

31.25 = 1.25 \times 25 +0

Hence, the above equation is the slope intercept form.

Learn more about the slope of the straight line;

brainly.com/question/3493733

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8 0
2 years ago
If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
Likurg_2 [28]

Hello from MrBillDoesMath!

Answer:

x + 9 and (x + ( i - 7)) are factors

Discussion:

If f(x) has roots -9 and 7-i then

f(x) = g(x)(x - (-9))  (x - (7-i))            ( g(x) is a polynomial of degree less than f(x))

That is, x + 9 and (x + ( i - 7)) are factors of f(x)

BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is  also be a root.

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
Can someone help me with this question please. I'll give the brainliest answer to whoever helps me.
Doss [256]

Answer: \sqrt[5]{y}

I realize its probably not the largest readable font. If you are having trouble reading it, it is the square root of y; however, there is a tiny little 5 in the upper left corner to indicate a fifth root. So you would read it out as "the fifth root of y"

The rule I'm using is

x^{1/n} = \sqrt[n]{x}

and the more general rule we could use is

x^{m/n} = \sqrt[n]{x^m}

where m = 1. This rule helps convert from rational exponent form (aka fractional exponents) to radical form.

5 0
3 years ago
the seventh and eighth grade bands held a joint concert. together there was 188 band members. if the eight grade band is 3 times
Montano1993 [528]
8th grade = 3x = 3(47) = 141 band members.

7th + 8th = 188

7th = x
8th = 3x

x + 3x = 188    ; x = 47 ;  47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade

8th grade = 3x = 3(47) = 141

To check:
x + 3x = 188    ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188



4 0
3 years ago
Read 2 more answers
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