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Svet_ta [14]
3 years ago
14

What is the solution to 4/a+5/3a<3

Mathematics
1 answer:
scoray [572]3 years ago
3 0
\dfrac{4}{a}+\dfrac{5}{3a} < 3\ \ \ |-3\ \ \ assume\ a\neq0\\\\\dfrac{3\cdot4}{3a}+\dfrac{5}{3a}-\dfrac{3a\cdot3}{3a} < 0\\\\\dfrac{12+5-9a}{3a} < 0\\\\\dfrac{-9a+17}{3a} < 0\iff 3a(-9a+17) < 0\\\\3a=0\to a=0\\\\-9a+17=0\to a=\dfrac{17}{9}
Look at the picture.
Answer:\ a\in\left(0;\ \dfrac{17}{9}\right)

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S=L−rL<br><br> solve for r<br><br> Please solve this fast for much points.
podryga [215]
Subtract L from both sides. 
the expression now becomes,
<span>S−L=−rL</span>
2)Divide by L on both sides.
<span><span><span>S−L</span>L</span>=−r</span>
3)Multiply with a negative sign on both sides in the final step to obtain the expression in terms of r      so the answer is<span> #(L-S)/L = r#</span>
3 0
3 years ago
A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?
ella [17]

Answer:

x=11  

Step-by-step explanation:

We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.

We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.

\text{Area of trapezoid}=\frac{(a+b)}{2}\times h, where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.

Upon substituting our given values in above formula we will get,

63=\frac{7+x}{2}\times 7

63=(7+x)*3.5

Upon dividing both sides of our equation by 3.5 we will get,

\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}

18=7+x

Let us subtract 7 from both sides of our equation.

18-7=7-7+x

11=x

Therefore, the value of x is 11 units.

5 0
2 years ago
The table represents an exponential function.
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3 years ago
Which sequence explains a geometric method of determining<br> 3 - 17i/2 +2i?
never [62]

Answer:

That would be D.

Step-by-step explanation:

first, turn both to polar form. Then you plot the first one and scale by the second. also, using a Rectangular to Polar calculator, we can see that 2.82 is 2 sqrt 2, so it cannot be A or B. It also can't be C since you graph 3-17i first.

7 0
2 years ago
Read 2 more answers
How do you solve this
PilotLPTM [1.2K]
Since 3=30/10, (30+1)/10=31/10. 31s/10=(30+1)/5 ( we get 30 because 5*6=30) = 31/5. Multiplying both sides by 10, we get 31s=62 (since 5 is a factor of 10, we can do 10/5 =2 and multiply 2 by 31). Dividing both sides by 31, we get s =2
7 0
3 years ago
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