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Sophie [7]
3 years ago
15

Please help to identify these equations. thank you, much appreciated!! ​

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:

the left curve is: y=(x+2)³-1;

the right curve is: y=3(x-2)³-1

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If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift
Jlenok [28]
Hi! Sorry if this is wrong, but I believe it would be f(x)= |x+5|-4. This is because it shifts to the left, so it is adding 5 to the x in the absolute value bars. And it shifting 4 units down would be negative. Hope this helps!
6 0
3 years ago
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Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)

Plugging the values.

⇒ cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)

We know that the values :

sin(45) =cos(45) = \frac{1}{\sqrt{2} }

sin(60)=\frac{\sqrt{3} }{2}  and  cos(60)=\frac{1}{2}

So,

⇒ cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})

⇒ cos(45-60)=(\frac{1}{2\sqrt{2} }  + \frac{\sqrt{3} }{2\sqrt{2} })

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }  ...<em>rationalizing </em>

⇒ cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}

⇒ cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}       ...<em>taking 2 as a common factor</em>

<em>⇒ </em>cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}

To find the exact values we have to put the values of sq-rt .

As<em>, </em>\sqrt{2}=1.41     and   \sqrt{6} =2.44

Then

<em>⇒ </em>cos(45-60)=\frac{( 1.41+2.44)}{4}<em />

<em>⇒ </em>cos(45-60)=\frac{( 3.85)}{4}<em />

⇒ cos(45-60)=0.96

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0
2 years ago
Please help me !! thank you all
Finger [1]
Ok so basically.... 15^2= 9^2+ x^2

15*15

225= 81+x
-81. -81

144=x^2

12=X

Im pretty sure it’s right!
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8 0
2 years ago
Jose earns $9 commission for every phone and $4 commission for every accessory he sells. On a given day Jose makes $253 in commi
andrezito [222]

Answer:

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Step-by-step explanation:

Let us denote the number of phones as ‘p’ and number of accessories as ‘a’ So, we can write the following equations from the given data:

Given that levi made $ 253 commission

<u>9p + 4a = 253 (1) </u>

And,  Jose sold  sold 8 more accessories than phones. So we can frame a equation as follows:

<u>p + 8 = a (2)</u>

These two equations can be used and solved to determine the number of phones and accessories sold.

7 0
3 years ago
Sahil's little brother is three years old how many weeks old is he
hodyreva [135]
156 weeks old. Hope I helped!
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3 years ago
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