All categories

4 years ago

What kind of solution is 4x-3 = 2(2x+1) ?

Mathematics

1 answer:

PSYCHO15rus [73]4 years ago

5 0

~ Simplifying

4x + -3 = 2(2x + -1)

~ Reorder the terms:

-3 + 4x = 2(2x + -1)

~ Reorder the terms:

-3 + 4x = 2(-1 + 2x)

-3 + 4x = (-1 * 2 + 2x * 2)

-3 + 4x = (-2 + 4x)

~ Add '-4x' to each side of the equation.

-3 + 4x + -4x = -2 + 4x + -4x

~ Combine like terms: 4x + -4x = 0

-3 + 0 = -2 + 4x + -4x

-3 = -2 + 4x + -4x

~ Combine like terms: 4x + -4x = 0

-3 = -2 + 0

-3 = -2

~ Solving

-3 = -2

~ This equation is invalid, the left and right sides are not equal, therefore there is no solution.

You might be interested in

What is the fifth term of the geometric sequence 5,15,45,...

denpristay [2]

Answer:

405

Step-by-step explanation:

This is a geometric sequence, so we need the common ratio and the first term

To find the common ratio, we take the second term and divide by the first term

15/5 =3

The common ratio is 3

We are multiplying by 3 each time

The first term is 5

The formula is

an = a1 * (r) ^ (n-1) where n is the term number

We want the 5th term

a5 = 5 * (3) ^ (5-1)

a5 = 5 *3^4

= 5 *81

= 405

7 0

4 years ago

2.1.4 Practice: Adding Rational Numbers

-BARSIC- [3]

Answer:

She ends up at five points after the three turns.

Step-by-step explanation:

4-6= -2

-2+8= 6

6-1= 5

He ends up with 5 points so she does not get the extra 10 points.

3 0

3 years ago

When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote the event of randomly sele

aksik [14]

Answer:

See explanation

Step-by-step explanation:

Given

$M \to$ randomly selecting a male

$B \to$ randomly selecting someone with blue eyes

Solving (a): Interpret P(M|B)

The above implies conditional probability

The interpretation is: the probability of selecting a male provided that a person with blue eyes has been selected

Solving (b): is (a) the same as P(B|M)

No, they are not the same.

The interpretation of P(B|M) is: the probability of selecting a person with blue eyes provided that a male has been selected

3 0

3 years ago

The ratio of girls to boys in your class is 5 to 7. Two girls joined your class. Now the ratio of girls to boys is 6 to 7. How m

Ksivusya [100]

Answer:13 students

Step-by-step explanation: 6+7=13

6 0

4 years ago

Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.

Alex17521 [72]

The function that is a tangent to the graph of f is $f(x) = (5/4)x^4+60$

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

40x + y = 0 is tangent of f(x)
slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

$5a^3 = -40\\a^3 = -8\\a = -2$

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

$f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60$

Therefore,

$f(x) = (5/4)x^4+60$

See more about tangent at brainly.com/question/401236

#SPJ1

4 0

2 years ago