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ra1l [238]
2 years ago
5

Please help me on this! will give you brainliest, ty:,

Mathematics
1 answer:
Artist 52 [7]2 years ago
3 0

Answer: 4^9

Step-by-step explanation:

4^-7 is just 1/4^7 so this is equal to 4^2 divided by 1/4^7. Dividing by a fraction is the same thing as multiplying by its reciprocal (just flip the fraction). So this whole equation is equal to 4^2 multiplied by 4^7. And when you multiply two exponents with the same base, the exponents are just added. So, your answer should be 4^9. Hope this helps! :)

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What number would you add to the equation below to complete the square?x2 + 4x = 0?
julia-pushkina [17]
------------------------------------------------------------------
Equation
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x² + 4x = 0

------------------------------------------------------------------
Add a constant
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x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
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x² + 4x + 2² - 2² = 0

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Form the perfect square
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(x + 2)² = 4 

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Square root both sides
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(x+2) = \pm √4

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Evaluate the square root
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(x+2) = \pm 2

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Solve x 
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x = 2 - 2 or x = -2 - 2

x = 0 or -4

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Answer: The constant to add is 4 and the value of x = 0 or -4
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7 0
3 years ago
Hakim deposited $50 in a saving account earning 10% interest, compounded annually . To the nearest cent , how much interest will
Paraphin [41]

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\bf A=50\left(1+\frac{0.10}{1}\right)^{1\cdot 2}\implies A=50(1.1)^2\implies A=60.5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{earned interest}}{60.5 - 50\implies 10.5}~\hfill

7 0
3 years ago
Read 2 more answers
Given the function f(x) = 2x – evaluate f (4). Enter your answer as a decimal.
Nataly_w [17]

Step-by-step explanation:

F(x)=2x

but x= 4

F(x)= 2(4)

F(x)= 8

1/8 is same as 8

0.125

7 0
2 years ago
A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend
anyanavicka [17]

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ x_{1} = 8 and x_{2} = -4

∴ y_{1} = 0 and y_{2} = 6

∵ m=\frac{6-0}{-4-8}=\frac{6}{-12}

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Substitute the value of m in the form of the equation

∵ y = m x  + b

∴ y = -\frac{1}{2} x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = -\frac{1}{2} x + 4

We can write -\frac{1}{2} x as -\frac{x}{2}

∴ y =  -\frac{x}{2} + 4

- Switch the two terms of the right hand side

∴ y = 4 -  \frac{x}{2}

The equation of Grant's path is y = 4 -  \frac{x}{2}

4 0
3 years ago
If f(x)=2x-4and g(x)=x^2 what is f(g(x))
DerKrebs [107]
F(g(x))
sub g(x) for every x in f(x)

f(g(x))=2(g(x))-4
f(x^2)=2(x²)-4
f(g(x))=2x²-4
7 0
3 years ago
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