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2 years ago

The sum of two numbers is 42, and one number is twice the other. Find the two numbers

Mathematics

2 answers:

Liula [17]2 years ago

7 0

The correct answer is 28 and 14

NikAS [45]2 years ago

3 0

Answer:

28 and 14

Step-by-step explanation:

14 x 2 = 28

28 + 14 is 42.

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

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Please help me! The answer choices are included in the picture.

Murljashka [212]

Answer:

Step-by-step explanation:

Let's just look at the point G(3) = 3

this point only occurs through one equation which is

g(x) = (1/3)x^2

4 0

3 years ago

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The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine tha

stiks02 [169]

Answer:

Step-by-step explanation:

The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.

The inequality can be used to determine the number of nights the Jones family could spend at the hotel is

750 ≥ 75 + 125h

This can also be written as

75 + 125h ≤ 750

We would solve the inequality for the value of h.

125h ≤ 750 - 75

125h ≤ 675

h ≤ 675/125

h ≤ 5.4

For any value of h greater than 5.4 hours, the inequality will not be true.

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3 years ago

The scatter plot suggests a relationship between time and the distance from the destination. The equation of the line of best fi

viva [34]

Answer:

Strong Negative

Step-by-step explanation:

We already know that the answer is between c and d because the correlation coefficient negative.

We just have to figure out whether it is strong or weak.

In general, anything between -.7 and -1 is considered to have a strong correlation. -.8 is in between -.7 and -1 therefore the correlation is best described as strong negative.

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2 years ago

What is the sum of 0.03 times 10

lubasha [3.4K]

Answer:

0.3

Step-by-step explanation:

also its not a sum, its called a product :)

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3 years ago

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The sum of two numbers is 42, and one number is twice the other. Find the two numbers​

The sum of two numbers is 42, and one number is twice the other. Find the two numbers