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2 years ago

3/4 to the 3rd power

Mathematics

1 answer:

spin [16.1K]2 years ago

8 0

The number 3/4 to the power 3 is equal to 27/64.

Given that the number is 3/4 and we are required to find the value of that number to the power 3.

In mathematics, a power series is basically an infinite series of the form where aₙ represents the coefficient of the nth term and c is a constant.

Number= $(3/4)^{3}$

To find the value of 3/4 to the power 3, we have to multiply 3/4 by 3/4 two times.

$(3/4)^{2}$ =3/4 *3/4 *3/4

=27/64

Hence the number 3/4 to the power 3 is equal to 27/64.

Learn more about number at brainly.com/question/1746829

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Elina [12.6K]

Answer:

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3 years ago

What is the greatest common factor of 6a, 8a^2, and 14?

Sergio [31]

Answer:

8a is the common favor of 6a

Step-by-step explanation:

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3 years ago

Read 2 more answers

HELPPP ASAPPP!! 50 POINTS!!!

OleMash [197]

Answer:

Part 1)

The possible multiplicities are:

$x=-7$ multiplicity 1

$x=-3$ multiplicity 3

$x=2$ multiplicity 1

$x=5$ multiplicity 2

Part 2

The factored form is

$p(x)=(x+7)(x+3)^3(x-2)(x-5)^2$

Step-by-step explanation:

Part 1.

The missing diagram is shown in the attachment.

The zeroes of the seventh degree polynomial are the x-intercepts of the graph.

From the graph, we have x-intercepts at:

$x=-7$ , $x=-3$ , $x=2$ , and $x=5$ .

The multiplicities tell us how many times a root repeats.

Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.

The possible multiplicities are:

$x=-7$ multiplicity 1

$x=-3$ multiplicity 3

$x=2$ multiplicity 1

$x=5$ multiplicity 2

Note that the total multiplicity must equate the degree.

Part 2)

According to the factor theorem, if $x=a$ is a zero of p(x), then $(x-a)$ is a factor.

Using the multiplicities , we can write the factors as:

$x+7$

$(x+3)^3$

$(x-2)^1$

$(x-5)^2$

Therefore the completely factored form of this seventh degree polynomial is $p(x)=(x+7)(x+3)^3(x-2)(x-5)^2$

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4 years ago

Factor 4a^2-b^2-2a+b

Marianna [84]

Answer:Equation at the end of step 1

STEP

4a2 - b2

Simplify ————————

2a - b

Trying to factor as a Difference of Squares:

2.1 Factoring: 4a2 - b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (2a + b) • (2a - b)

Canceling Out :

2.2 Cancel out (2a - b) which appears on both sides of the fraction line.

Final result :

2a + b

Step-by-step explanation:

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3 years ago

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total

julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

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3 years ago