If f(x)=x^2+3x+5 what is f(3+h) ?

Answers

Answer 1
f(x)=x^2+3x+5
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2
Answer 2
f(x) = x^2 + 3x + 5
f(3+h) = (3+h)^2 + 3(3+h) + 5 ... replace every x with 3+h
f(3+h) = (3+h)(3+h) + 3(3+h) + 5
f(3+h) = (3^2+2*3*h+h^2) + (3*3+3*h) + 5
f(3+h) = (9+6h+h^2) + (9+3h) + 5
f(3+h) = 9+6h+h^2 + 9+3h + 5
f(3+h) = h^2 + (6h+3h) + (9+9+5)
f(3+h) = h^2+9h+23


Related Questions

PLEASE HELP QUICK I'M OFFERING 12PTS AND BRAINLIEST ANSWER
what is the solution set for the open sentence with the given replacement set w^2 + 9 = 6w, (0,3,6,9)

Answers

do you mean solve it 

How do you solve this equation

Answers

Answer:

  -4

Step-by-step explanation:

Use your knowledge of multiplication facts.

  [tex]\sqrt[3]{-64}=\sqrt[3]{(-4)^3}=-4[/tex]

__

Your calculator may be able to do this for you.

If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 35 miles per hour that left the same starting point 4.5 hours earlier?

Answers

distance = speed * time
d = st

The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t

The family car travels the same distance, d, but since it left 4.5 hours earlier  than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)

We solve the two equations as a system of equations.

d = 95t
d = 35(t + 4.5)

Since d = d, set the right sides of the equations above equal to each other.

95t = 35(t + 4.5)

95t = 35t + 157.5

60t = 157.5

t = 2.625

The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.

Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.

Billy picked 18 oranges. Taylor picked 3 times as many oranges as Billy did. They want to put them in bags with 9 oranges in each bag.



How many bags will they need for all the oranges?

Answers

18*3 = 54
54/9 = 6

So, they would need 6 bags.
I believe the answer is 6.

Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable with 2r degrees of freedom by showing that

Answers

To show that the moment generating function (mgf) of a random variable y = 2px converges to that of a chi-squared random variable with 2r degrees of freedom as p approaches 0, we need to find the mgf of y using the definition of the mgf and substitute the new random variable. Then, by applying the limit as p approaches 0, we can demonstrate the convergence.

In this question, we are asked to define a new random variable, y = 2px, and show that as p approaches 0, the moment generating function (mgf) of y converges to that of a chi-squared random variable with 2r degrees of freedom.

To show this, we need to find the mgf of y by using the definition of the mgf and substituting the new random variable.

Then, as p approaches 0, we need to simplify the mgf and show that it converges to the mgf of a chi-squared random variable with 2r degrees of freedom.

By applying the limit as p approaches 0, we can demonstrate that the mgf of y converges to the mgf of a chi-squared random variable with 2r degrees of freedom.

If it takes 4 men 6 hours to repair a road, How long will it take 7 men to do the job if they work at the same rate ?

Answers

so, there are 4 men working for 6 hours each, after the 6 hours, each man has worked 6 hours each, the total amount of "workhours" is 4 * 6, or 24 workhours, it took  24 workhours to do the whole job.

now, how long will it take for 7 men working at the same rate?,   24/7  <--- that many hours.

the division will give how long each man worked, and since it will be the same amount for each, that many hours it took for the whole job being done by the 7 of them.

[tex]\bf \cfrac{24}{7}\implies 3\frac{3}{7}\implies \textit{about 3 hours 25 minutes and 43 seconds}[/tex]

does this equation describe a linear function
Y=2/x-28

Answers

no soulation would be it
it's not a straight line so it's not a function :3

Audrey has $120 dollars to spend on a tennis racket and lessons. The racket costs $45 and the lessons cost $15 dollars per hour. Define a variable. The write and solve an equation to find how many hours of lessons she can afford.

Answers

45+15x=120
15x is the variable since it is a reoccurring fee.
x = how many hours she can afford
120 = 45 + 15x
first you subtract 45 from both sides
75 = 15x
divide both sides by 15
5 = x

so audrey can afford 5 hours of lessons

i hope this helps!!

What is the value of x?

Answers

the answer would be 35 because you take 120 and add 25 and get 145. then because it can make a straight line you do 180-145 and that equals 35.

How would I solve -x^2 = -36?

Answers

Let's solve your equation step-by-step.
-x^2 = -36

Step 1: Divide both sides by -1.
-x^2/-1 = -36/-1
x^2 = 36

Step 2: Take square root.
x=±√36
x=6 or x=−6

Answer: x=6 or x=−6

I hope this helps you! :)


 the answer to your question is x=6

How do you construct a line segment perpendicular to the segment given through the point given?

Answers

Use the opposite reciprocal of the slope of the known line segment, then plug the point given as well as the opposite reciprocal of the slope into y = mx + b

What is the doubling time of prices which are increasing by 7 percent per year?

Answers

14.3 years

About 14 years and 4 months

Since it is doubling, it must increase by 100%.
100 divided by 7 = 14.28
Final answer:

The doubling time of prices increasing at a rate of 7% per year can be calculated using the Rule of 70, which states that the doubling time of a variable undergoing exponential growth is approximately 70 divided by the growth rate. Thus, the doubling time for these prices would be about 10 years.

Explanation:

The question pertains to the concept of doubling time in the field of finance and economics, specifically how quickly something (prices, in this case) doubles in size or value at a constant growth rate. The doubling time for a variable growing at a 7% annual growth rate can be calculated using the Rule of 70. This rule states that the doubling time of a variable undergoing exponential growth is approximately 70 divided by the growth rate (in this case, 7).

So, to calculate:
Doubling Time = 70 / 7
Doubling Time = 10 years

This means that the prices will double approximately every 10 years if they increase at a constant rate of 7% per year.

Learn more about Doubling Time here:

https://brainly.com/question/33016649

#SPJ2

Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? Select all that apply.

four equal sides
two pair of opposite equal angles
bisecting diagonals
two pair of opposite parallel sides

Answers

The properties of a parallelogram that lead to the conclusion that a square is a type of parallelogram are 2nd, 3rd and 4th options.

Answer:

two pair of opposite equal angles

bisecting diagonals

two pair of opposite parallel sides

is 3.774447444744474447444 a rational number

Answers

No it is an irrational number because it is a decimal with repeating numbers.

what is w reduced by 22? f(w)=

Answers

w reduced by 22 means that 22 will be subtracted from every w - value.

So, to every w-value corresponds a value equal to w - 22.

Using the notation of functions, w is the independent variable or input and f(w) is the function that returns the dependent value or output:

inpunt       otuput

w               f(w) = w - 22

Answer: f(w) = w - 22

At tennis practice, Tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his serve and practices his serve more than 1/2 hour daily.
Which system of inequalities represents Tim’s daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve?
 

The images below are the possible answers,


Answers

He practices his backhand(x) and serve(y) AT LEAST(≥) 2 hours each day
x+y≥2

He practices his backhand(x) LESS THAN(<) his serves(y)
x<y

He practices his serves(y) MORE THAN(>) .5 hours
y>.5

Answer:

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Step-by-step explanation:

Let  x represents the number of hours spent practicing his backhand

Let y represents the number of hours practicing his serve.

Since we are given that Tim practices his backhand and his serve at least 2 hours each day i.e. he practices his backhand and serves for two hours or more than two hours

⇒ x+y≥2 --(a)

We are also given that He works less on his backhand than his serve

⇒x < y --(b)

And we are also given that he practices his serve more than 1/2 hour daily.

⇒ y > 1/2 --(c)

Thus the inequalities are :

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Thus the Option C is correct .




After 2 months on a diet, John’s weight dropped from 168 pounds to 147 pounds. By what percent did John’s weight drop?

Answers

Final answer:

John's weight dropped by 12.5%.

Explanation:

To calculate the percent by which John's weight dropped, we need to find the difference between his initial weight and final weight, and then divide that difference by his initial weight. We can then multiply the result by 100 to express it as a percentage.

Initial weight = 168 pounds
Final weight = 147 pounds

Difference = 168 - 147 = 21 pounds

Percent drop = (Difference / Initial weight) x 100

Percent drop = (21 / 168) x 100 = 12.5%

Therefore, John's weight dropped by 12.5%.

Final answer:

To calculate the percent by which John's weight dropped, subtract his final weight from his initial weight, and divide the difference by his initial weight, then multiply by 100. John's weight dropped by 12.5%.

Explanation:

To calculate the percent by which John's weight dropped, you need to find the difference between his initial weight and his final weight, then divide that difference by his initial weight and multiply by 100.

Difference in weight = Final weight - Initial weight = 147 - 168 = -21 Percent weight drop = (Difference in weight / Initial weight) * 100 = (-21 / 168) * 100 = -12.5%

So, John's weight dropped by 12.5%.

write an expression for the quotient of a number and 5 decreased by 4

Answers

q=x/5-4

let me know if you have any questions

Find the missing measures for the rectangle.

l = _?_
w = 2 cm
A = _?_
P = 25 cm

A) 12.5 cm; 25 cm2

B) 10.5 cm; 21 cm2

C) 12.5 cm; 21 cm2

D) 10.5 cm; 25 cm2

Answers

P = 2(L + W)
P = 25
W = 2

25 = 2(L + 2)
25 = 2L + 4
25 - 4 = 2L
21 = 2L
21/2 = L
10.5 = L.......so ur length is 10.5 cm

A = L * W
A = 10.5 * 2
A = 21 cm^2

so ur answer is B. 10.5 cm, and 21 cm^2

If f(x)=-2(5)^x what is f(2)

Answers

What the question is asking is for you to evaluate the function f at x=2, which means you'll need to substitute the x in the function for 2, giving you:

f(2) = -2(5)²

[11 (y- 10)] = (4y- 5) what is y

Answers

[11(y-10)=(4y-5)

11y-110 = 4y -5
    +110       +110
11y = 4y + 105
-4y   -4y
7y = 105

y= 15

Show why the function f(x) = 3rad x is not differentiable at x=0

Answers

[tex]f(x) = 3\sqrt{x}[/tex]
[tex]f'(x) = -\frac{3}{2\sqrt{x}}[/tex]

When x = 0, f'(0) becomes undefined. Thus, we know that there is no derivative at x = 0. You could also show it by taking the limits, which is the fundamental of calculus. Show that as x approaches 0 from the negative side is not equal to the value as x approaches 0 from the positive side.

What this tells us is that there is no uniquely distinct point that satisfies the continuity of the curve in order for the graph to have a specific gradient at x = 0; thus, this means there is no gradient at x = 0, and hence, the function is not differentiable at x = 0

At Chelsea's workplace, 30 people drink 2 cups of coffee a day on average. A pot of coffee has 10 cups of coffee. How many pots of coffee are needed each day?

Answers

6 pots would be the answer. 
30*2=60
1 pot=10
60 divided by 10 = 6

6 pots

6 pots

6 pots

6 pots

WHO IS GOOD AT MATH!!!!! Solve this problem.
326-9²+32= ?

Answers

277; You want to use the order of operations so first, figure out 9 squared which is 81 so you take 326-81+32 , 326-81=245 then 245+32=277

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3885 cm3 ​​ of water in the aquarium. How deep is the water in the aquarium -

Answers

14 cm is your answer
hope it helps


Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26

Answers

its B because 3/10ths is a little bit more than 0.35, but way less than 0.41

Answer:

C. [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let x be the number which is more than 0.35 but less than 0.41,

⇒ 0.35 < x < 0.41

[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]

[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]

∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],

Hence, option C is correct.

The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the transformed function?
A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a

B was incorrect, whats answer?

Answers

y = (x + a)2 - b is the answer

The top of a manhole cover is shaped like a circle. The area of the manhole cover is 380 square inches. What is the circumference of the manhole cover, to the nearest inch? 

Answers

need to find the radius first

 area = pi*r^2

380 = PI *r^2

380/PI = r^2

r^2 = 121

r = sqrt(121) = 11 inches

 radius is 11 inches


 now calculate circumference:

 c = 2*PI*r

 C = 2 * 3.14 * 11

circumference = 69.08 = 69 inches

At 1 P.M., there were 16 seagulls on the beach. At 3p.m., there were 40 seagulls. What is the constant rate?

Answers

at 1 p.m. there were 16 seagulls....at 3 p.m. there were 40 seagulls....that means in 2 hrs (from 1 to 3) there was an increase of (40 - 16) = 24 birds....
24 birds in 2 hrs = 24/2 = 12 birds per hr....ur constant rate is 12 per hr

5,550 divide 10 to the power of 3

Answers

This would be 5.55

5550÷10^3=5.55

Hope this helps

The solution involves dividing 5,550 by 1,000, which gives 5.55. The expression 10³ represents 1,000, simplifying the division. Therefore, 5,550 divided by 10 to the power of 3 equals 5.55.

To solve the problem 5,550 divided by 10 to the power of 3, follow these steps:

First, understand that 10 to the power of 3 is equivalent to 10³.Calculate 10³: 10 × 10 × 10 = 1,000.  Now, divide 5,550 by 1,000: 5,550 ÷ 1,000 = 5.55.

Therefore, 5,550 ÷ 10³ = 5.55.

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