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2 years ago

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Which of the following points lies on the line 2x+y=6? 1. (1.4) 2.(0,6) 3. (2,0) A. I only B. 2 only C. 3 only D. 1 and 2 only E

. 2 and 3 only

1 answer:

Paraphin [41]2 years ago

6 0

Your answer is D. 1 and 2 only

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A student solves the following equation for all possible values of x:

bekas [8.4K]

<span><u><em>The correct answer is: </em></u>
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

<u><em>Explanation: </em></u>
<span><u>To solve this rational equation, we cross multiply: </u>
8*(x-4)=2*(x+2).

<u>Using the distributive property, we have </u>
8*x-8*4=2*x+2*2;
8x-32=2x+4.

<u>Subtract 2x from each side: </u>
8x-32-2x=2x+4-2x;
6x-32=4.

<u>Add 32 to each side: </u>
6x-32+32=4+32;
6x=36.

<u>Divide both sides by 6:</u>
</span></span> $\frac{6x}{6}$ <span><span>=</span></span> $\frac{36}{6}$ <span><span>;
x=6.

<u>Extraneous solutions</u> are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).</span></span>

6 0

2 years ago

Read 2 more answers

Express this is scientific notation

Vitek1552 [10]

Place the decimal point right after the first nonzero digit, which is 3.

So you'll go from this $0.003045$ to this $3.045$ after this move.

Now ask yourself: "how many spots must I move the decimal point to get back to 0.003045?"

The answer is "3 spots to the left"

The exponent of the final answer is -3
The negative indicates "move left" and the 3 tells us how many places to move the decimal

Therefore, $0.003045 = 3.045 \times 10^{-3}$

Answer: Choice C)
This is assuming you meant to write the -3 as an exponent

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3 years ago

WILL GIVE BRAINLIEST

Yuliya22 [10]

Answer:

c

Step-by-step explanation:

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1 year ago

Simple interest of $725 at 3.25% for 6 months

Rzqust [24]

The simple interest on the principal amount of $725 at a rate of 3.25% for 6 months is $736.78

<h3>What is simple interest? </h3>

Simple interest is calculated on the loan principal amount or the initial deposit into a savings account. It can be determined by using the formula:

$\mathbf{S.I = P(1 + rt)}$

where:

P = principal = $725
R = rate = 3.25%
T = time = 6 months = 0.5 years

$\mathbf{S.I = 725(1 + 0.0325(0.5))}$

S.I = $736.78

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1 year ago

Which shows the terms of the series? 4 12 48 192 4 12 36 3 12 48 192 3 12 48

Stells [14]

The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

<h3>What is summation?</h3>

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

$\sum_{n=1}^{4} 3(4)^{n-1}$

By solving the above term;

$\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}$

$\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3$

$\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192$

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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2 years ago