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vova2212 [387]
3 years ago
11

\sqrt{3} } " alt=" \frac{7}{5 - \sqrt{3} } " align="absmiddle" class="latex-formula">
write the expression in simplified radical form
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Rationalize denominator in order to vanish radical term from denominator,

\frac{7(5+ \sqrt{3})}{(5- \sqrt{3})(5+ \sqrt{3})} =  \frac{7(5+ \sqrt{3}) }{25-3} =  \frac{35+7 \sqrt{3} }{22}
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PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
How is 0.009 and 0.9 related
Marysya12 [62]
They are related as they are both decimals, and carry a 9. They are therefore 90th of some strange
3 0
3 years ago
How much interest is earned on $250 at 10% for five years
djyliett [7]
$154.63

Year 1: $25
Year 2: $27.5
Year 3: $30.25
Year 4: $33.28
Year 5: $36.60
3 0
3 years ago
Complete the table of values for y=2x squared + x
Lapatulllka [165]

Answer:

y=2x^2 + 2x - 3 x -2 -1 0 1 2

Step By Step Explanation:

The values can be find by plugging the x values in the equation which gives us the y value ,

x -2 -1 0 1 2

y 1 -3 -3 1 9

(b) Plot the points on the graph and join by a smooth curve.

(c) The line y=1 will be passing through 1 and parallel to x-axis.

(d) solve 2x^2 + 2x - 3 = 1

Subtract 1 from both the sides ,

2x^2 + 2x - 2 = 0

Factoring out the 2 from the equation ,

2(x^2 + x - 1) = 0

x^2 + x - 1 = 0

Apply the quadratic formula

x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5

5 0
3 years ago
Integral sqrt(4+3x) dx
Alisiya [41]
Let 4 + 3x = u

then 3dx = du
 
or, <span>1/3∫<span>u√</span>du
</span> 
= <span>1/3<span>u^<span>3/2</span></span>/(3/2)
</span> 
= <span>2/9∗(4+3x<span>)^<span>3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span></span></span>
3 0
3 years ago
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