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ryzh [129]
2 years ago
5

Which expression represents the phrase the product of 15 and the quantity 12 more than a number x

Mathematics
2 answers:
Stells [14]2 years ago
8 0
<span>The equation that represents the product of 15 and the is 12 more than a number would be (x+12)15=y. !</span>
My name is Ann [436]2 years ago
7 0
<span>(x+12)15=y. ! is prob the answer</span>
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By writing sin 3x = sin(2x+x), show that sin 3x = 3 sin x - 4 sin^3 x.
Ksju [112]

Given the trigonometry expression:

sin 3x = sin(2x+x),

In trigonometry identity;

Sin(A+B) = sinAcosB + cosAsinB

The expression above will then become;

sin(2x+x) =sin2xcosx+cos2xsinx\\sin(2x+x) =2sinxcosxcosx + (1-2sin^2x)sinx\\sin(2x+x) =2sinxcos^2x + (1-2sin^2x)sinx\\

Recall that sin^2x + cos^x = 1, hence;

sin(2x+x) =2sinx(1-sin^2x)+ (1-2sin^2x)sinx\\Expand\\sin(2x+x) =2sinx-2sin^3x+ sinx-2sin^3x\\sin(2x+x) =2sinx + sinx-2sin^3x-2sin^3x\\sisn(2x+x) = 3sinx-4sin^3x

This shows that sin3x =3sinx-4sin^3x (Proved!)

Learn more here: brainly.com/question/7331447

8 0
3 years ago
Luke can paint 91 portraits in 7 weeks.
dimulka [17.4K]
91 divided by 7 is 13. so he can paint 13 in 1 week. 13 x 4 equals 52 so he can paint 52 portraits in 4 weeks.
8 0
2 years ago
Read 2 more answers
X-5y=21 and-6x=24 solve by substitution
Zepler [3.9K]

Answer:

The value of x is (-4) and y is (-5)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • x – 5y = 21
  • -6x = 24
<h3><u>To Find</u>;</h3>
  • Value of x
  • Value of y

Now,

-6x = 24

-6x/(-6) = 24/(-6)

x = -4

So, Substitute the value of x in x – 5y = 21

x – 5y = 21

-4 – 5y = 21

-4 + 4 – 5y = 21 + 4

-5y = 25/

-5y/(-5) = 25/(-5)

y = -5

Thus, The value of x is (-4) and y is (-5)

<h3><u>For </u><u>Verification</u>;</h3>

x – 5y = 21

-4 – 5(-5) = 21

-4 + 25 = 21

21 = 21

-6x = 24

-6(-4) = 24

24 = 24

L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist 72</u>

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2 years ago
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Mariana [72]
Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey. 
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Answer:

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Step-by-step explanation:

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