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3 years ago

What is the value of (1/2)^3 + (1/3 x 2)?

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

1/3x^2+1/8

Step-by-step explanation:

simplify the equation to 1/8+1/3x^2

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Write a function to represent the set of ordered pairs.

salantis [7]

Answer:

option B) f(x) = x³ - 3

Step-by-step explanation:

we know that

If the function represent the set of ordered pairs, then the ordered pairs, must be satisfy the function

Verify each function

case A) f(x) = -2x

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=-2(2)=-4$

$-4\neq 5$

the ordered pair not satisfy the function

The function nor represent the set of the ordered pairs

case B) f(x) = x³ - 3

Verify (1,-2)

For x=-1 ---> $f(1)=1^{3}-3=-2$ ---> is ok

Verify (2,5)

For x=-2 ---> $f(2)=2^{3}-3=5$ ---> is ok

Verify (3,24)

For x=3 ---> $f(3)=3^{3}-3=24$ ---> is ok

Verify (4,61)

For x=4 ---> $f(4)=4^{3}-3=61$ ---> is ok

the ordered pairs satisfy the function

therefore

The function represent the set of ordered pairs

case C) f(x) = x² - 3

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=2^2-3=1$

$1\neq 5$

the ordered pair not satisfy the function

The function nor represent the set of the ordered pairs

case D) f(x) = 5x² - 7

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=5(2)^2-7=13$

$13\neq 5$

the ordered pair not satisfy the function

The function nor represent the set of the ordered pairs

3 0

3 years ago

4 is to 5 as 10 is to a A.8 B.12 C.12.5 D.20

nexus9112 [7]

Use a proportion.

4 is to 5 as 10 is to a

4/5 = 10/a

4a = 5 * 10

4a = 50

a = 12.5

Answer: C. 12.5

6 0

3 years ago

A ladder is leaning against a building and makes 28 degree angle with the ground.

Dominik [7]

To solve this problem you must apply the proccedure shown below:

1- You have that the laddder makes an angle of $28 degrees$ with the ground and the top of the ladder reaches $35ft$ .

2- Therefore, you have:

$Sin\alpha =\frac{opposite}{hypotenuse}$

Where:

$opposite=35\\ hypotenuse=length\\ \alpha =28degrees$

3-You must substitute values and solve for the lenght, as following:

$Sin(28)=\frac{35}{lenght} \\lenght=\frac{35}{Sin(28)} \\ lenght=75ft$

Therefore, the answer is: $75ft$

7 0

4 years ago

5.Footlocker buys Air Jordans for $30 a pair. They mark it up 75%. How much is the mark-up on a pair of Air Jordans

allochka39001 [22]

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

4 0

3 years ago

Need help with this please

artcher [175]

Answer:

$x^{\frac{2}{3} }$

Step-by-step explanation:

Exponent Rules: $(b^m)^n = b^{mn}$

Exponent Rules: $\frac{x^m}{x^n} = x^{m-n}$

Step 1: Write expression

$\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}$

Step 2: Rewrite radical

$\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}$

Step 3: Multiply powers (numerator)

$\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}$

Step 4: Subtract powers

$x^{\frac{2}{3} }$

8 0

4 years ago