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3 years ago

Which are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options. A)x< 5

Mathematics

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

C and D or 3 and 4 0-0

Step-by-step explanation:

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Solve 5^3x+1 = 4^x-5 for x

tensa zangetsu [6.8K]

For the equation $5^{3x+1}=4^{x-5}$ take the $\log$ from both sides:

$\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.$

Find x:

$3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.$

Answer: correct choice is D

7 0

3 years ago

Read 2 more answers

What is the percent of change from 6,000 to 60?

Thepotemich [5.8K]

Answer: 99% decrease

Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.

The amount of change is the difference between 6,000 and 60 and the original number is 6,000.

6,000 - 60 is 5,940 so we are left with $\frac{5,940}{6,000}$ and dividing 6,000 into 5,940 gives us 0.99.

Finally, since the problem is asking us for the percent, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.

So when a number changes from 6,000 to 60, it has decreased by 99%.

6 0

3 years ago

What is the measure of ∅? A. 2.5 π radians B. 2.5 radians C. 4 radians D. 5 radians

natka813 [3]

Answer:

C. 4 radians

Step-by-step explanation:

$20=\frac{\pi (Ctrl.Angle)(5)}{180}$

Ctrl Angle = ∅

∅ = $\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }$

in radians:

∅ = $\frac{720}{180} =4$

Hope this helps

4 0

2 years ago

Best Deal 1

scoray [572]

Answer:

C) 18 cents

Step-by-step explanation:

Given,

This weeks deal -

Quantity of Flour Price ($) Price per pound ($)

3 pounds 5.25 (5.25/3) = 1.75

5 pounds 9.75 (9.75/3) = 1.95

7 pounds 12.60 (12.60/3) = 1.80

10 pounds 14.20 (14.20/3) = 1.42

12 pounds 18.24 (18.24/3) = 1.52

The lowest price per pound is $1.42. Therefore, this is the current week's best deal.

The last week's best deal was = $`1.60/pound

The difference between the unit price for previous week's best deal and this week's best deal = $1.60 - $1.42 = $0.18

Therefore, 18 cents.

8 0

4 years ago

Please do these no fake stuff please. Click on the paperclip to see problems.

inessss [21]

Answer:

Which problems ?

Step-by-step explanation:

6 0

4 years ago