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lilavasa [31]
3 years ago
11

Is y=2^x -15 a linear equation

Mathematics
2 answers:
enyata [817]3 years ago
8 0
No, it’s not a linear equation.
Vlad1618 [11]3 years ago
3 0

Answer:

No

Step-by-step explanation:

It is a non linear equation

A linear equation is and equation in which all the powers of variables and constants are 1 while here the power of 2 is x

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z​
Roman55 [17]

Answer:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

Step-by-step explanation:

Given system of equations:

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To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}

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\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}

Apply the <u>zero-product property</u> and solve for x:

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Substitute the found values of x into the <u>second equation</u> and solve for y:

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Therefore, the solutions are:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

6 0
1 year ago
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While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price
shepuryov [24]

Answer:

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Step-by-step explanation:

Given the information:

  • The original price: $5
  • Discount : 20%
  • Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

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=> the total cost of the bunch of balloons :

The actual price + tax price

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