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3 years ago

What is the solution to the inequality -6+12p+31 > 71

Mathematics

2 answers:

Helga [31]3 years ago

8 0

Step-by-step explanation:

-6 + 12p + 31 > 71

12p + 25 > 71

12p > 46

p > 23/6.

sattari [20]3 years ago

4 0

Answer:

Step-by-step explanation:

12p>71+6-31

12p>46

p>23/6

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A painter uses 1.2 liters of the paint to cover 1 meter squared of the wall.

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What is the effect on the graph of the function f(x) =5x when f(x) is replaced with f(x) + 9?

Nimfa-mama [501]

Answer:

When we add 9 to the function we are shifting the function up 9 units.

Step-by-step explanation:

If it were added inside the function, it woulds shift it left or right.

But since it is outside the function, we will shift it up or down

When we add 9 to the function we are shifting the function up 9 units.

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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

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This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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