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kykrilka [37]
3 years ago
11

5y + 4(-5 + 3y) = 1 – y solve step by step please

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

Answer:

\boxed {y = \frac{7}{6}}

Step-by-step explanation:

Solve for the value of y:

5y + 4( -5 + 3y) = 1 - y

-Use <u>Distributive Property</u>:

5y + 4( -5 + 3y) = 1 - y

5y - 20 + 12y = 1 - y

-Combine like terms:

5y - 20 + 12y = 1 - y

17y - 20 = 1 - y

-Take -y and add it to 17y:

17y + y - 20 = 1 - y + y

18y - 20 = 1

-Add 20 on both sides:

18y - 20 + 20 = 1 + 20

18y = 21

-Divide both sides by 18:

\frac{18y}{18} = \frac{21}{18}

\boxed {y = \frac{7}{6}}

Therefore, the value of y is \frac{7}{6}.

Studentka2010 [4]3 years ago
3 0
Step by step, meaning explaining the equation right and answer?
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A linear function and its inverse are given.
jarptica [38.1K]

Answer:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13        for the function.

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4         for the inverse.

Step-by-step explanation:

we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:

g(y) = x.

now we have

y=4x-3

y=(1/4)x+3/4

The only table that works for our first function is:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13

You can see this by replacing the values of x and see if the value of y also coincides.

Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

The second table is that one:

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4

7 0
3 years ago
Read 2 more answers
Need some help with this please
saveliy_v [14]
-0.83 for it’s the lowest number
5 0
3 years ago
Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when n = 1. 1 4
Colt1911 [192]

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

45 + n,

Now, if the value of n is 1.1. Then the sum will be,

45+n\\\\=45+1.1\\\\=46.1

Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

Learn more about Expression:

brainly.com/question/13947055

6 0
2 years ago
The polynomial 3x ^ 3 - 16x ^ 2 + 31x - 20 the area of a trapezoidal desktop . Of the bases of the x ^ 3 - 5x the height of the
vaieri [72.5K]

Answer:

Step-by-step explanation:

Given:

Area = 3x^3 - 16x^2 + 31x - 20

Base:

x^3 - 5x

Area of trapezoid, S = 1/2 × (A + B) × h

Using long division,

(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x

= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh

= 2S/Bh - A/B

= (2S/B × 1/h) - A/B

Since, x^3 - 5x = B

Comparing the above,

A = 32x^2 - 92x + 40

2S/B = 6

Therefore, h = 1

6 0
3 years ago
Need help pls explain
Scilla [17]

Answer:

  • C. 93°

Step-by-step explanation:

WY  is the diameter.

WX and XY sum to 180° as half the circle.

<u>Central angle is equal to intercepted arc:</u>

  • mXY = m∠XVY = 87°
  • mWX = 180° - mXY = 180° - 87° = 93°

Correct choice is C

4 0
2 years ago
Read 2 more answers
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