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Ivahew [28]
3 years ago
8

How to solve 3x+y=6 and y=-3 using substation method

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

since they give you y this is a very simple problem

simply replace y with -3 and get

3x+(-3)=6

adding a negative number is the same as subtracting a positive number

3x-3=6

add 3 on both sides

3x=9

divide by 3 on both sides

x=3

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
If the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?
Igoryamba
Is there any other known values?
7 0
3 years ago
Read 2 more answers
Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti
Elodia [21]

The inverse of the function f(x)  = 4(x-3)² + 2 is f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

The given function is:

f(x)   =  4(x  - 3)²  +  2

To find the inverse of the function:

Make x as the subject of the formula

4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3

Replace x by f^{-1}(x) and replace f(x) by x

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Therefore, the inverse of the function is:

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Learn more here: brainly.com/question/17285960

4 0
2 years ago
Tell whether the expression 3x^4 -5x +7 is a polynomial. If it is polynomial , find the degrees and determine whether it is a mo
ioda

Given:

The polynomial is:

3x^4-5x+7

To find:

The degrees and determine whether it is a monomial, binomial, or trinomial.

Solution:

We have,

3x^4-5x+7

The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.

Monomial: Polynomial with one term.

Binomial: Polynomial with two terms.

Trinomial: Polynomial with three terms.

In the given polynomial, we have three terms 3x^4,-5x,7. So, the given polynomial is trinomial.

Therefore, the degree of the polynomial is 4 and it is a trinomial.

5 0
2 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions.
kicyunya [14]

Answer:

3x - y = -3

Step-by-step explanation:

divide everything by 4, the greatest common factor. That's all you need to do.

4 0
2 years ago
Read 2 more answers
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