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AleksAgata [21]
3 years ago
7

The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima

tely equal?
A.
-1.5
B.
-1.6
C.
-1.7
D.
-1.8
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
I believe it’s a. -1.5
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Answer:

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Step-by-step explanation:

Use the FOIL method here where

F = first

O = outer

I = inner

L = last

F = x * x = x²

O = -4 * x = -4x

I = 4 * x = 4x

L = -4 * 4 = -16

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vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

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\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

(2^{3\times \frac{1}{3}})^2=4^x


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

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Step-by-step explanation: The answer for number 18. (The first pair of parentheses are optional.)

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