HELP!!


Given f(x)= x^2 -3 and g(x)= x+2/x , find (g-f)(4). Show all work.

Answers

Answer 1

Answer:

-8.5

Step-by-step explanation:

Given

f(x)= x^2 -3 and g(x)= x+2/x

To find

(g-f)(4)

Solution

(g-f)(4) = g(4) - f(4) =4+2/4 - (4² -3) =4 + 0.5 - 16 + 3 =-8.5

Related Questions

Factor the algebraic expression 18a + 14 18a + 14 = (Factor completely.)

Answers

Answer:

You cannot factor that any more.

Step-by-step explanation:

The equation is as simple as it can be.

Which is a valid proportion?

Answers

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

Find the number for which:
75% is 4.5 cm

Answers

4.5/3= 1.5*4

6 is your answer

40 subtracted from five times a number is 8 more than the number write the equation

Answers

Answer (let x be the number):

5x - 40 = x + 8

I hope this helps!

The number in the equation 5n - 40 + 8 = n is 8.

What is a numerical expression ?

A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.

We can also construct numerical expression form real life scenarios.

According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.

Let the number be 'n'.

∴ 5n - 40 + 8 = n

5n - n = 40 - 8.

4n = 32.

n = 32/4.

n = 8.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ2

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
105 is on the graph

Answers

Answer:

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)

Let f(x) = 3x + 2 and g(x) = - 2x + 1 Find g(f(- 2))

is it
a: -7
b: 17
c: 0
d:9​

Answers

Answer:

(d) 9

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

g(f(x)) = - 2(3x + 2) + 1 = - 6x - 4 + 1 = - 6x - 3

g(f(-2)) = - 6(- 2) - 3 = 9

What is the value of [(3/5)^0]^-12

Answers

Answer:

The value is 1

Step-by-step explanation:

3/5 = 0.6

0.6^0 = 1

1^-12 = 1

. A sporting goods store offers a rewards program where the customer earns a $20 gift card for every 1,500 points. Suppose a new customer receives a certain number of points when signing up and earns a number of points for every dollar purchased at the store. If a new customer has 750 points after spending $30 and 1,025 points after spending $85, how much does the customer have to spend to earn the first gift card?​

Answers

390 because 1025 plus 85 =1,110-1,500 = 390 so he has to spend 390 more

solve for x, and explain how u did it :)

Answers

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You​

Answers

Answer:

draw the diagram and multiply 5x20

Please answer this thanks

Answers

Answer:

c

Step-by-step explanation:

What is the average daily temperature for all ten years?



49.6
50.8
52.4
53.6

Answers

Answer:

51.6

Step-by-step explanation:

Add them together and divide by 4

Answer: it would be D. 53.6

<3

Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23

Answers

C) 18 is not a prime number
1, 2, 3, 6 ,9, 18
Are all factors of 18, making it not prime
18 is not a prime number

PLEASE PPL ARE GETTING IT WRONG!!!

Answers

2.95/5=
.59 per pound

Answer:

0.59

Step-by-step explanation:

the process is of unitary method

Unit 3 lesson 16 homework

Answers

Answer:

huh what is your question ????

someone pleaseee answer

Answers

Answer:

B

Step-by-step explanation:

B-aby you got the stuff

I believe it’s 5. This is because when doing 5X3=15 and then 15+7=22 then solving for the other one and doing 5X2=10 and then doing 10+12=22. This shows that 5 is correct because you’re getting the same value for the solution. Hope this helps:)

Problem
What is the constant of proportionality in the equation y=3xy

Answers

Answer:

-3

Step-by-step explanation:

y=3xy and subtract y on both sides that gives u -1 and then you have -1=3x and then divide 3 on both sides you are left with -3 =x

Harriet used the work below to determine the percent equivalent to One-eighth.

Step 1: One-eighth = StartFraction question mark Over 100 EndFraction
Step 2: 8 divided by 100 = 0.08
Step 3: 0.08 times 1 = 0.08
Step 4: 0.08 percent

What was Harriet’s error?
In Step 1, she set up the proportions incorrectly.
In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor.
In Step 3, she multiplied the numerator instead of the denominator by the factor.
In Step 4, she forgot to move the decimal.

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation: It's B

FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?

Answers

Answer D

step by step

1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840

Answers

Step-by-step explanation:

Given that,

Distance, d = 10.5 km = 10500 m

Time, t = 8 minutes = 480 s

We need to find the unit rate of a train motion. The distance divided by time is equal to the speed of the object.

[tex]\text{Rate}=\dfrac{\text{Distance}}{\text{time}}\\\\=\dfrac{10500\ m}{480\ s}\\\\=21.87\ m/s[/tex]

So, the unit rate is 21.87 m/s.

Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?

Answers

Answer:

1/45

Step-by-step explanation:

Someone please help with letter B

Answers

Answer:

No because the coefficiant is different for each pair of mothers and daughters

Step-by-step explanation:

what is 71 3/7% equal to in simplest form?

Answers

23 2/3 simplest form

Answer:

23 2/3 i think sorry for the other my sponese  my sister came and typed the response

What is the Greatest Common Factor of 16 and 18
06
8
O 4
02

Answers

Answer:

2

Step-by-step explanation:

2 is the hfc or gfc (depending on if you say highest or greatest) becausee it is the largest factor in both numbers

Ruth got to the library at 1030 am.
She stayed at the library for 50 minutes.
Then she walked home.
Ruth took 1 1/4 hours to walk home.
(b) At what time did Ruth get home?

Answers

Answer:

She got home at 12:35 P.M.

Step-by-step explanation:

She got to the library at 10:30 am.

She spent 50 minutes there

10:30 + 50 mins can be seperated to 30 mins and 20 mins

So, 30 mins goes to 11 and 20 mins more equals 11:20.

She took 1 1/4 hours to get home

1 hour more means 12:20, and since 1/4 of an hour is 15 mins,

12:20 + 15 = 12:35 P.M

hope this helped!

Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.

a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.

b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.

Answers

Answer:

a) Equation for Snow Dome Ski Resort:

[tex]I_s = 65+t[/tex]

Equation for Mt. Winterpark Ski Resort:

[tex]I_m = 74+\frac{t}{2}[/tex]

b) After 19 hours, Snow dome will have more snow.

Step-by-step explanation:

Given that:

Initial snow at Snow Dome Ski Resort = 65 inches

Snowing rate at Snow Dome Ski Resort = 1 inch per hour

Initial snow at Mt. Winterpark Ski Resort = 74 inches

Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour

a) To write equations that show amount of snow at each resort.

Let the time in hours be represented by [tex]t[/tex].

Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour

Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour

Equation for Snow Dome Ski Resort:

[tex]I_s = 65+t[/tex]

Equation for Mt. Winterpark Ski Resort:

[tex]I_m = 74+\frac{t}{2}[/tex]

b) Time at which Snow Dome has more snow.

Using the above equations, we can write the following inequality:

[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]

After 18 hours have passed, they will have equal amount of snow.

After 19 hours, Snow dome will have more snow.

Please help me with question number 2

Answers

Answer:

this is easy u need just to put values in the formula

Step-by-step explanation:

putting values in the formula

T =

[tex]2\pi \sqrt{l \div g} [/tex]

T =2×3.14√0.65÷9.8

T= 6.28√0.066

T=6.28×0.25

T=1.617s answer

PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

1,3,5 I believe. I hope you have a great day boyyyyyyyyyyy
I agree with the person on the top

A company has 3835 employees. Each employee is to be given an ID number that consists of one capital letter followed by 1 digits.
How many different ID numbers are possible?

Answers

Answer:

7670

Step-by-step explanation:

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer:

cost per unit of gas i.e y= 0.36

Step-by-step explanation:

Let cost per unit of electricity = x

and cost per unit of gas = y

The equations required will be:

[tex]600x+100y=390 ---- eq(1)\\400x+250y=326----eq(2)[/tex]

We need to find value of y i.e cost per unit of gas

Solving equations to find value of y

We will use elimination method

Multiply equation 1 by 4 and 2 by 6

[tex]2400x+400y=1560 ---- eq(1)\\2400x+1500y=1956----eq(2)[/tex]

Subtracting eq 1 from eq 2

[tex]2400x+1500y=1956----eq(2)\\2400x+400y=1560 ---- eq(1)\\- \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ -\\----------------\\1100y=396\\y=\frac{396}{1100}\\y=0.36[/tex]

Solving we get y=0.36

Putting value of y in eq(1) to find value of x

[tex]600x+100y=390\\600x+100(0.36)=390\\600x+36=390\\600x=390-36\\600x=354\\x=\frac{354}{600}\\x=0.59[/tex]

Value of x = 0.59

But we need to find only cost of unit of gas i.e y

So, cost per unit of gas i,e y= 0.36

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