All categories

3 years ago

What is the solution set of (3x - 1)2 = 5?

Mathematics

1 answer:

Virty [35]3 years ago

8 0

The answer to (3x-1)2=5 is x= 7/6

You might be interested in

Felicia keeps track of the changes in value of her baseball card collection.for what three situations might the changes be repre

lord [1]

If she gains a card that would be a positive 1, if she sells one that would be negative 1, and if she keeps one than that would be 0.

6 0

2 years ago

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago

The side length of a square is represented by the expression 2x + 5. Which expression represents the difference between the area

musickatia [10]

Answer:

$4x^2 + 22x + 15$

Step-by-step explanation:

The side length of a square is represented by the expression 2x + 5.

The area of a square is given as:

$A = a^2$

where a = length of side of the square

The area of the square is therefore:

$A = (2x + 5)^2\\\\A = (2x + 5)(2x + 5)\\\\A = 4x^2 + 20x + 25$

The perimeter of a square is given as:

$P = 4a$

The perimeter of the square is therefore:

$P = 4(2x + 5) \\\\P = 8x + 10$

The difference between the area of the square and the perimeter of the square is:

$4x^2 + 30x + 25 - (8x + 10)\\\\4x^2 + 30x + 25 - 8x - 10\\\\4x^2 + 30x - 8x + 25 -10\\\\4x^2 + 22x + 15$

The expression that represents the difference between the area and the perimeter of the square is:

$4x^2 + 22x + 15$

7 0

3 years ago

Which number is greater 17×10^8 4×10^8

Sunny_sXe [5.5K]

Answer:

17×10^8 is greater

Step-by-step explanation:

The expontent comes first which gives you

1000000000 then you multiply that with 17 to get

1700000000

3 0

2 years ago

Read 2 more answers

The volume of this cylinder is 20,403.72 cubic yards. What is the radius? Use ≈ 3.14 and round your answer to the nearest hund

MakcuM [25]

The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).

To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.

4 0

2 years ago