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Kipish [7]
3 years ago
12

What to the power of four equals 256

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0
A good way to determine this is to use logarithms, the inverse of exponents.
In any given equation, if y=b^x, then logbase(b) of y = x

Due to a property of logarithms, you can also write logbase(b) of y as logy/logb.
The "log" button can be found easily on most modern calculators, so you can follow along too.
Anyways, though, our problem says that 256 = b^4
You can apply logarithms, but an easier way to do this is to square-root 256 twice. 
sqrt256->16
sqrt16->4
4^4 is 256. Let's check, shall we?
4*4 is 16. That *4 is 64. 64 *4 is... 256!
Those are just a couple ways to go about it, though.

Schach [20]3 years ago
3 0
4 Hope this helped ;):):)
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Solve by substitution <br> X^2= 2y + 10<br> 3x-y = 9
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Answer:

x=-4\\ x=-2\\ y=-21\\ y=-15

Step-by-step explanation:

x^{2} =2y+10

y=-9+3x

x^{2} =2(-9+3x)+10

x^{2} =-18+6x+10

x^{2} =6x-8

x^{2} -6x+8

x=-4, -2

y=-9+3(-4)

y=-9-12

y=-21

y=-9+3(-2)

y=-9-6

y=-15

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3 years ago
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What is the equation for this math problem? Steven spent $90 on clothes. He bought a pair of jeans that cost $34 and spent the r
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Answer:

The equation for the given maths problem is $ 34 + $ 8x = $ 90  

Step-by-step explanation:

According to question :

The Total amount spent on  cloths = $ 90

The cost of a pair of jeans  = $ 34

The cost of each t-shirt pair = $ 8

The amount spent on t-shirt = $ 90 - $ 34 = $ 56

Let the number of t-shirt pair = x

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Or,  $ 8x = $ 90 - $ 34

∴         x = \frac{ 90 -  34}{8}

Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90  Answer

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Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of his time practicing his multiplication facts.How many hours di
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marusya05 [52]

Answer:

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  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

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<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

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Answer:

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Step-by-step explanation:

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