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Oksanka [162]
3 years ago
12

Solve and graph the inequality 6 + 3n ≤40

Mathematics
1 answer:
Kazeer [188]3 years ago
7 0
6+3n≤40
Use inverse operations i.e.
4x+2<10
    -2    -2
4x<8
4*x/4<8/4
x<2
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The value of which of these expressions is closest to e?
mars1129 [50]

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

7 0
3 years ago
A truck driver has a route that takes him 125 miles each way each day that he works. If he makes 15 roundtrips on this route per
7nadin3 [17]

Answer: 3,750 miles

Step-by-step explanation:

Route takes him 125 miles each way so in a day he travels:

= 125 + 125

= 250 miles

He made 15 roundtrips so total miles is:

= 15 * 250

= 3,750 miles

3 0
3 years ago
Factor completely:<br><br> <img src="https://tex.z-dn.net/?f=3x%5E3%2B21x%5E2%2B36x" id="TexFormula1" title="3x^3+21x^2+36x" alt
guajiro [1.7K]
To factor, you can first treat it like a single bracket and find the common factor. In this case, the common factor is 3x, so you get
3x(x² + 7x + 12)
Now you can factor the bracket normally, by finding factors of 12 that add up to make 7. The factors would be 3 and 4, so the bracket becomes (x + 3)(x + 4).
This leaves your final answer as
3x(x + 3)(x + 4)

I hope this helps!
5 0
3 years ago
Solve the proportion.
masya89 [10]

Answer:

14

Step-by-step explanation:

21 divided by 1.5 from the 3/2 you get 14

3 0
3 years ago
Read 2 more answers
What is the value of this equation
pickupchik [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

e^{3x+6} =8

taking log on both side

lne^{3x+6}=ln8

(3x+6)lne=ln8

Plugging the value of ln e as 1

3x+6=ln8

Subtracting 6 in both sides

3x+6-6=ln8-6

3x=ln8-6

Dividing 3 in both sides

x=\frac{ln8-6}{3}    ........................  Answer

Hope it will help :)

8 0
3 years ago
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