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Law Incorporation [45]
3 years ago
7

How do I evaluate the expression -(p+q)2 /(-6) for p=2 andq=4

Mathematics
1 answer:
Dimas [21]3 years ago
3 0
Plug in the values of p and q where you see them in the equation:

-(2+4)2 / (-6) - Distribute the -1 
(-2-4)2 / (-6) -  Distribute the 2
(-4-8) / (-6) - Subtract what's inside the parenthesis
(-12) / (-6) - Divide
The answer is 2
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6-4x=(3-x)<br> A) -2<br> B) 2<br> C) all real, numbers<br> D) no solution
Semmy [17]
6 - 4x = (3 - x)

Subtract 6 from both sides, as well as adding x to both sides.

-4x + x = 3 - 6

Add like terms.

-3x = -3

Divide both sides by -3.

x = 1

So, your answer is c) All real, numbers because all of the other answer choices are wrong. 

We know this because a) and b) are incorrect. To know if they are incorrect, you just plug in the numbers. When 2 and -2 are plugged into the equation, it is incorrect. So, you solve the equation, and you now know that it is not D) because there is a solution. 

So, once again, your answer is C.

~Hope I helped!~

6 0
2 years ago
Read 2 more answers
You purchase a hat for $17.98. The tax rate is 7%. What is the total cost, with
11111nata11111 [884]

Answer:

I believe the correct answer is B

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What’s the value of f(5)?
devlian [24]

Answer:

f(5) = 25

Step-by-step explanation:

f(x) = 3x + 10

f(5) = 3(5) + 10

f(5) = 15 + 10

f(5) = 25

8 0
2 years ago
Read 2 more answers
Evaluate y(y-x); use x =1, and y=4​
Pepsi [2]

Answer:

12

Step-by-step explanation:

substitute

4(4-1)

4(3)

12

5 0
2 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
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