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2 years ago

7x + 4y = 2 7x + 2y = 8

Mathematics

1 answer:

Mariana [72]2 years ago

3 0

Answer:

x = 2 , y = − 3

Step-by-step explanation

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , − 3 )

Equation Form: x = 2 , y = − 3

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Which represents the solution set of 5(x+5)<85

andrey2020 [161]

X<12
5(x+5)<85 
5(x + 5)/5 < 85/5 
x + 5 < 17 
x + 5 - 5 < 17 - 5

3 0

2 years ago

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

In my number the digit in the ones place is double the digit in the tens place. the sum of the digits is 3

jasenka [17]

The number is 21 because 2 is 1 doubled, and 2+1 is 3.

6 0

3 years ago

Calculate the force when the pressure is 18 N/M squared and the area is 4 M squared.

Doss [256]

The force is 72 Newton

8 0

3 years ago

-5+22=r-4+3r+5 I need help please and thank u

Brilliant_brown [7]

Answer:

r = 4

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-5 + 22 = r - 4 + 3r + 5

Step 2: Solve for r

Combine like terms: 17 = 4r + 1
Subtract 1 on both sides: 16 = 4r
Divide 4 on both sides: 4 = r
Rewrite: r = 4

Step 3: Check

Plug in r to verify it's a solution.

Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
Add/Subtract: 17 = 3(4) + 5
Multiply: 17 = 12 + 5
Add: 17 = 17

6 0

3 years ago