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3 years ago

If the expression f^2+g^4-2f+1 is rewritten in the form a^2+(g^2)^2, what must be the value of a?

Mathematics

1 answer:

sdas [7]3 years ago

6 0

Answer: √(f^2 - 2f + 1) = a

Step-by-step explanation:

We have that:

f^2+g^4-2f+1 = a^2+(g^2)^2

And we want to find the value of a, so we should isolate it.

f^2 + g^4 - 2f + 1 = a^2 + g^(2*2) = a^2 + g^4

where i used that (x^y)^z = x^(y*z)

We can remove the term g^4 in both sides of the equation and get:

f^2 - 2f + 1 = a^2

now we can apply the square rooth to both sides and get

√(f^2 - 2f + 1) = a

So we just found the value of a.

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if someone deposited 2000 at 6% simple intrest . how long will it be before she has 2600 in her account

den301095 [7]

30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest. Question: How long will it become 2 600 dollars. Well, you didn’t mention if it’s an annual interest or monthly interest. But let’s say that it’s a monthly interest, then let’s start solving: => 2000 Is the original amount + 6% interest first month = 2000 * .06 = 120 => 2000 + 120 = 2120 2nd month = 2120 *.06 = 127.2 => 2120 + 127.2 = 2247.2 3rd month = 2247.2 *.06 = 134.832 => 2247.2 + 134.832 = 2382.032 4th month = 2382.032 * .06 = 142.92192 => 2382.032 + 142.92192 = 2524.95392 5th month = 2524.95392 * .06 = 151.497 => 2524.95392 + 151.497 = 2676.45 Thus, on the fifth month she will earn this amount.

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4 years ago

when price of indomie noodles was lowered from #50 to #40 per unit, quantity demanded increases from 400 to 600 units per week.

Nataly [62]

Answer:

The price elasticity of demand is -10

Step-by-step explanation:

Given

$p_1,p_2 = 50,40$

$q_1,q_2 = 400,500$

Solving (a): The coefficient of price elasticity of demand (k)

This is calculated as:

$k = \frac{\triangle q}{\triangle p}$

So, we have:

$k = \frac{500 - 400}{40 - 50}$

$k = \frac{100}{-10}$

$k = -10$

<em>Because |k| > 0, then we can conclude that the company made a wise decision.</em>

7 0

3 years ago

IN NEED OF ANSWER :( A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the th

vichka [17]

Answer:

a = 33ft

b= 66ft

c = 48 ft

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

a (shortest side)= a
b (second side)=2a (twice the length of the shortest side)
c (third side)= a+15 ( 15 feet more than the length of the shortest side)

Since:

Perimeter = a+b+c

Replacing with the values given:

147 = a+2a+(a+15)

147 = a+2a+a+15

147-15 = a+2a+a

132 = 4a

132/4 = a

33 ft= a

Substituting a =33 in the other expressions:

b=2a = 2(33) = 66 ft

c= a+15 = 33+15 = 48 ft

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3 years ago

The width of the statue of libertys head from ear to ear is 10 ft. The height of the statues head from chin to cranium is 17 ft

Marat540 [252]

It is taller by 7 ft and 3 inches

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3 years ago

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larisa [96]

$(5x - 2)^2 = 15$

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$5x - 2 = \pm\sqrt{15}$

Add 2 to both sides:
$5x = pm\sqrt{15} + 2$

Divide both sides by 5:
$x = \dfrac{ \pm\sqrt{15} + 2}{5}$

Answers:
$x = \dfrac{ \sqrt{15} + 2}{5} \ or \ \dfrac{ - \sqrt{15} + 2}{5}$

Answer: (B) and (E)

5 0

3 years ago

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