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loris [4]
3 years ago
15

Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu

s 1 − 3 + 3 = x + 3 Square root of negative 2x plus 1 = x + 3 Square root of negative 2x plus 1 − 1 = x + 3 − 1 Square root of negative 2 x = x + 2 ( Square root of negative 2 x )2 = (x − 4)2 −2x = x2 − 8x + 16 −2x + 2x = x2 + 8x + 16 + 2x 0 = x2 + 10x + 16 0 = (x + 2)(x + 8) x + 2 = 0 x + 8 = 0 x + 2 − 2 = 0 − 2 x + 8 − 8 = 0 − 8 x = −2 x = −8 Both solutions are extraneous because they don't satisfy the original equation. What error did Eloise make?
Mathematics
1 answer:
faltersainse [42]3 years ago
4 0
She kept the + 3 on the right side of the equation in her second step, she forgot to eliminate it..... there fore, it would have been -2x + 1 = x + 3 not -2x + 1 - 3 +3 = x+3
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lisov135 [29]

The function is given f(x)=2^x+3.

Now let's solve for f(-2).

f(-2)=2^{-2}+3

Rule of negative exponent: x^{-1}=\frac{1}{x^1}.

f(-2)=\frac{1}{2^2}+3

f(-2)=\frac{1}{4}+\frac{3}{1}

Rule for sum of fractions: \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}.

f(-2)=\frac{13}{4}

And the result is:

f(-2)=\boxed{\frac{13}{4}=3.25}

4 0
3 years ago
Will give brainliest!
vichka [17]

Answer:

it is all of them except irrational

Step-by-step explanation:

natural number = whole positive integers

integer = whole number

rational = number which can be expressed as a ratio or fraction

4 0
3 years ago
Read 2 more answers
The value of a certain rare stamp is 160% of its value three years ago if the stamp is worth $220 then what is it’s worth today
xz_007 [3.2K]

Answer:

572$

Step-by-step explanation:

100% of 220 is 220 so add them together. Then find 60 % of 220. To find 10% of a number move the decimal to the left one time. Which is 22. After that, multiply 22 by 6 because it's 60%. then ad 220+220+132=572.

6 0
3 years ago
Read 2 more answers
EXPRESS THE SOLUTION AS AN INEQUALITY
mote1985 [20]

Answer:

Step-by-step explanation:

0 ft <s<=51/3 ft

so the third is the answer

3 0
3 years ago
A system of two equations is shown below: equation
Ber [7]
The answer is c, or 3b+6!!
7 0
3 years ago
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