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77julia77 [94]
2 years ago
5

-5/2 x (3x + 4) < 6x - 3x Please show work

Mathematics
2 answers:
Pie2 years ago
8 0

Answer:

x >  -  \frac{20}{21}

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

-15x - 20 < 6x

-15x - 6x < 20

-21x < 20

<u>x</u><u> </u><u>></u><u> </u><u>-</u><u>2</u><u>0</u><u>/</u><u>2</u><u>1</u>

Bingel [31]2 years ago
3 0

Answer:

\tt{}x  >  -\frac{21}{20}

Step-by-step explanation:

\tt{} -  \frac{5}{2}  \times (3x + 4) < 6x - 3x

\tt{}-  \frac{5}{2} x - 10

\tt{}- 15x - 20 < 6x

\tt{}- 21x = 20

\tt{}x  >  -\frac{21}{20}

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Compute the following.<br> f(40) − f(0)/40 − 0
Rudik [331]

Answer:

the slope of the tangent line at (40, f(40))the slope of the tangent line at (15, f(15)) the slope of the tangent line at (10, f(10))the slope of the line segment from (10, f(10)) to (40, f(40))

6 0
2 years ago
Christian buys a 3500 computer using an installment plan that requires 17% down and a 3.7 interest rate how much is his down pay
melamori03 [73]

Answer: $869.90 × 12 = $10,438.80.

Step-by-step explanation:

5 0
3 years ago
What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
aalyn [17]

Answer:

  StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

  (a^b)^c = a^(bc)

__

So the expression simplifies as ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}

9 0
3 years ago
Simplify (-8)(-2) + 11<br> 027<br> 0 -1<br> 0-5
Schach [20]
Answer:-5
-8x-2=-16
-16+11=-5
4 0
3 years ago
What is the surface area of a rectangular prism?<br><br>length : 3<br>width : 3<br>height = 5
elixir [45]
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area. 
This surface area of this rectangle prism is 78.
4 0
3 years ago
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