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1 year ago

What is an equivalent form of 14(p + 6) − 10(2q + 5)?

Mathematics

1 answer:

aalyn [17]1 year ago

5 0

The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.

<h3>What is mathematical expansion?</h3>

An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.

14(p + 6) − 10(2q + 5)

If we open the bracket, we have

14p − 20q + 34

Therefore option D is correct.

Learn more about mathematical expansion from

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saw5 [17]

Answer:

Step-by-step explanation:

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3 years ago

If the two legs of the right triangle are 5

yanalaym [24]

Answer:

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3 years ago

Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

<em>Find the value of x</em>

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0

3 years ago

weqwewe [10]

Answer:

b. g(x) = ƒ(3x)

Step-by-step explanation:

We can use the graph to find the transformation which has been performed to obtain g.

g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). <u>This eliminates the options a and d.</u>

Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.

So,

6/2 = 3

-6/-2 = 3

The function is stretched by a factor of 3.

Hence, the correct answer is:

b. g(x) = ƒ(3x) ..

6 0

2 years ago

6x-4(3x-5)=2 solve for x.

jeka57 [31]

Answer:

x = 3

Step-by-step explanation:

6x -4(3x-5) = 2

6x - 12x + 20 = 2

-6x = 2 - 20

-6x = -18

x = 3

5 0

2 years ago