How do you graph the inequality 4x+3<7x-9 on a number line?

Answers

Answer 1
Answer: 4x+3<7x-9 \ \ | -7x \n \n4x -7x+3<7x -7x-9 \n \n-3x+3<-9\ \ |-3\n \n-3x+3-3<-9-3\n \n-3x<-12 \ \ /:(-3)

x> (-12)/(-3)\n \n x >4



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Answers

Its A im pretty sure. It cant be c or d and i dint think its b

Help asap please :))))))

Answers

On A, the bottom side is 4 and on B, it's 8.

8/4 gives you 2.

What is 76.78 rounded to the nearest whole number?

Answers

Lets look at the number. 76.78. In each of the different place holders the number is higher than 5. Lets do some examples. 74 rounded to the nearest whole number is going to be 70. 76 rounded to the whole number will be 80. The .78 in your question also contributes. 

Answer: 80
When rounding to the "nearest whole number" you will need to either round up or down.
If its within 1 2 3 or 4 you round down, so if our number was 73, the nearest whole number would be 70.
Our question here consist of 76.78. 
Well just by looking at the first part of the number, 76, we already know that we are rounding up. so in doing this, I was able to get 80 because when 5 6 7 8 or 9 you round up.

Please I need help fastWhich inequality best models the situation if variable w is the weight of dogs that would be allowed?

An apartment complex allows small dogs that weigh less than 20 pounds. Show the possible weights of dogs that would be allowed.

A.
w < 20 and w must be a positive number.

B.
w < 20 and w may be a negative number.

C.
w > 20 and w must be a positive number.

D.
w > 20 and w may be a negative number.

Answers

since it is "less than," the inequality sign will be "<"

since a dog has to weigh something, and its weight cannot be negative, "w" will have to be a positive number

the correct answer is A

Your new cell phone plan costs $45 per month. You pay an extra $0.05 for every text message sent. If you send 60 texts this month, how much will your bill be?

Answers

   $0.05                     $45
x      60          =     +    $3
-----------              -------------
         $3                    $48 per month 

If the APR of a savings account is 4.8% and interest is compounded monthly,what is the approximate APY of the account?

O A. 1.05%

O B. 10.49%

O C. 4.91%

O D. 4%

Answers

Answer:

  C.  4.91%

Step-by-step explanation:

The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.

Approximation

For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.

Exact computation

For nominal annual rate r compounded n times per year, the effective annual rate is ...

  r' = (1 +r/n)^n -1

For r = 0.048 and n = 12, this becomes ...

  r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%

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Additional comment

After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.