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kozerog [31]
2 years ago
9

In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.4

6. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Mathematics
1 answer:
Ivahew [28]2 years ago
5 0

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

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Answer:

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Step-by-step explanation:

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3 years ago
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Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
If contact lenses cost 80$ how much will they cost if they are with 10% off?
nevsk [136]

10% of 80 = 8

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2 years ago
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Romashka-Z-Leto [24]

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Step-by-step explanation:

6 0
3 years ago
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