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3 years ago

Factor: 4x2 + 4xExpand: -(x – 3)

Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

<h2>Question: Factor: 4x2 + 4x</h2>

Find the GCF.

$gcf = 4x$

Factor out the GCF.

$4x( \frac{4 {x}^{2} }{4x} + \frac{ {4x} }{4x} )$

Simplify each term in parentheses.

$4x(x + 1)$

Hence, the answer is 4x(x + 1).

<h2 /><h2>Question: Expand: -(x - 3) </h2>

Remove parentheses.

$- x + 3$

Regroup terms.

$3 - x$

Therefor, the answer is 3 - x.

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Two numbers whose sum is 29 and their difference is 15

n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15 (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29 ⇒ y = 29 - 22 = 7

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2 years ago

Write the equation of a line that goes through the points (-7,10) and (1,4)

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I’m pretty sure the answer is y=3/4x-13/4

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3 years ago

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Which best describes the transformation from the graph of f(x)2 to the graph of f(x)=(x-3)2-1

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The giving functions are from dofferent types. transforming a function does not change it's type so it is impossible to transfer f(x)=2 to f(x)=(x-3)^2-1.

5 0

3 years ago

The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

miss Akunina [59]

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

$a ^ 2 = b ^ 2 + c ^ 2$

where $a$ is the hypotenuse.

$a ^ 2 = 4 ^ 2 + 4 ^ 2$

$\sqrt { a ^ 2} = \sqrt { 3 2 }$

$a = 5 . 6 5$

Therefore, the length of the hypotenuse is 5.65 cm.

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4 years ago

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A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl

lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0

3 years ago

Factor: 4x2 + 4xExpand: -(x – 3)​

Factor: 4x2 + 4xExpand: -(x – 3)