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hammer [34]
4 years ago
12

For what values a is the equation 1/(a+2) = 1/a + 1/2 true?

Mathematics
1 answer:
serg [7]4 years ago
6 0
The answer 
<span>1/(a+2) = 1/a + 1/2 this equation is equivalent to </span><span>1/(a+2) = 2+a / 2a, it means 
</span>1x( <span>2a) = </span>(a+2) x(2+a) , 2a= (a+2)² =a²+4+4a, so we have a²+2a+4=0, and this last doesnt have any solution (there is no value of a verifying a²+2a+4=0)

so the answer is <span>A. no real values a.</span>
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Solve the inequality x-4 &lt; - 3.Then graph the solution set.show your work.
bearhunter [10]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

<u>  + 4    +4</u>                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

8 0
3 years ago
Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change)
Pani-rosa [81]

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

5 0
4 years ago
Help help help help help
Naddik [55]

Answer:

<, -4

Step-by-step explanation:

-8x-20<12

add 20 to both sides

-8x=32

divide both sides by -8

x=-4

3 0
3 years ago
If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

  • a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

4 0
2 years ago
How do I do it? I’m get confused what do I type in the box?
erastovalidia [21]
I think that’s called (translations)if i’m not wrong
7 0
3 years ago
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