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astra-53 [7]
2 years ago
13

Find g(4x) g(x)=x²-4

Mathematics
2 answers:
Anna007 [38]2 years ago
8 0

\large{\rm{\underline{\underline{Answer:}}}}

  • Given g(x) = x² - 4 which is function of x and changes with the value of x

Now we have g(4x). This means, we have to replace x by 4x and correspondence to this, the equation will change. I.e.

⇛ g(4x) = (4x)² - 4

⇛ g(4x) =<u> 16x² - 4 </u><u>/</u><u> </u><u>4</u><u>(</u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u><u>)</u><u> </u><u>[</u><u>answer]</u>

7nadin3 [17]2 years ago
3 0

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

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The startup division made 80% of 1/2 of the established division. The startup division’s growth was 1/3 greater than the establi
Gnesinka [82]

Answer:


Step-by-step explanation:

<u><em>First, let's create variables:</em></u>

<u><em>s = startup division</em></u>

<u><em>e = established divisioN</em></u>

<em>The startup division made 80% of 1/2 of the established division. </em>

<em>Let's take a look at what the above statement means: Making 80% of 1/2 means...</em>

<em>0.8 of 1/2 = 0.8*0.5 = 0.4 --> s = 0.4e.</em>

<em>Next: The startup division’s growth was 1/3 greater than the established division’s.</em>

<em>Seems like this is additional information is not needed.</em>

<em>If the divisions made 280,000 combined, how much did the startup division make?</em>

<em>s + e = 280,000 --> s = 280,000 - e, then we can substitude s = 0.4e for s --></em>

<em>280,000 - e = 0.4e --> 1.4e = 280,000 --> e = 200,000.</em>

<em>This means that s = </em><u><em>80,000.</em></u>

<u><em>MARK AS BRAINLEST PLZZZZZ</em></u>


5 0
3 years ago
A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectang
Oksana_A [137]
Use the information to form an equation
x = width
x + 6 = length
perimeter = length + length + width + width
x + x + x + 6 + x + 6 = 44
4x + 12 = 44
4x = 32
x = 32/4
x = 8
width = 8 meters
length = 8 + 6 = 14 meters
8 0
3 years ago
Pls only answer if yk it ill give correct one BRAINLIEST!!
Dmitry [639]

Answer:

X=10, x=4

Step-by-step explanation:

first, divide 14 by 2, and square it; giving you

x^2-14x+(7)^2=-40

Because 7^2 is 49, you have to add 49 to the other side; giving you

x^2-14x+(7)^2=9

Then factor the left side; giving you (x-7)^2=9

Take the square root of both sides, giving you

(x-7)^2= plus or minus 3

Then solve to get two solutions, 10 and 4

8 0
3 years ago
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katrin2010 [14]
The best answer is C : The sum of the measures of two angles os 180 degrees . 

7 0
3 years ago
-2=3(y-2) how do you solve this problem for y​
Ksivusya [100]

Answer:

y= 4/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=3(y−2)

−2=(3)(y)+(3)(−2)(Distribute)

−2=3y+−6

−2=3y−6

Step 2: Flip the equation.

3y−6=−2

Step 3: Add 6 to both sides.

3y−6+6=−2+6

3y=4

Step 4: Divide both sides by 3.

3y /3 = 4 /3

y= 4/3

Answer:

y= 4/3

8 0
3 years ago
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