Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.

Answers

Answer 1

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).


Related Questions

El seño Alonso pidió prestado dinero a una tasa del 8% anual . Si el cargo por interéses ese año es de $360 cuánto recibirá de préstamo?

Answers

Answer:

$ 4500

Step-by-step explanation:

Dejar;

Principal sea P

El tiempo sea T

Tasa sea R

Interés sea yo

De la pregunta;

R = 8%, T = 1 año, I = $ 360, P =?

De;

I = PRT / 100

100I = PRT

P = 100 I / RT

P = 100 * 360/8 * 1

P = $ 4500

Evaluate. 2.2^3 . 2^-5 .2^-1

A. -4
B, -8
C. 1/4
D. 1/8

Answers

Answer:

Step-by-step explanation:

2^3 . 2^- 5 . 2^- 1

= 2^( 3 - 5 - 1 )

= 2^( 3 - 6 )

= 2^- 3

= 1 / 2^3

= 1 / 8

If

2 . 2^3 . 2^- 5 . 2^- 1

= 2^1 . 2^3 . 2^- 5 . 2^- 1

= 2^( 3 - 5 - 1 + 1 )

= 2^( 3 - 5 )

= 2^- 2

= 1 / 2^2

= 1 / 4

A rabbit population triples every year. If the rabbit population starts with 4 rabbits, then how many will there be in 6 years?

Answers

Answer:

there would probably be around 60 rabbits

Which situations are BEST modeled by an exponential function?
A)
The yearly depreciation of a car
B)
An investment compounded annually
The cost of screws sold by the pound,
D
The amount of sugar to make a pound of fudge,
E)
The annual growth rate of a city's population

Answers

Your answer is going to be d

How do you solve this?

Answers

Answer: A. 85.5 square feet

Step-by-step explanation: Hope this help :D

Serena's rabbit weighs 3 1/2 pounds. Jarod's rabbit weighs 3 times as much as Serena's rabbit. How much does Jarod's rabbit weigh?

Answers

The answer would be Jarod’s rabbit weights 10.5 pounds

!!!!!!NEED HELP ASAP BRAINLIEST REWARD!!!!!!

a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

example below:

Answers

Step-by-step explanation:

!!!!NEED HELP ASAP BRAINLIEST REWARD!!!!!!

a. Provide two independent events that you know the probability of.

b. Explain how you know these events are independent.

c. Find the probability that they both occur.

a. Provide two dependent events.

b. Explain how you know these events are dependent.

c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.

example below: xD xD XD xD xD

HELP pls help I will give brainiest

Answers

Answer:

3. True

4. False

5. A

Step-by-step explanation:

A sector with a radius of 12 cm has an area of 607 cm. As = 607 cm r = = 12 cm What is the central angle measure of the sector in radians?​

Answers

Answer:

the answer is 607 divided by 12 which is going to give you 50,53

Fast!!!!
I’ll give brainiest

Answers

A. !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

A) Collinear

Step-by-step explanation:

Points that are on the same line are called collinear points. A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines.

suzanne is running a 5km race. so far she has ran 1,250m. how many more meters does she need to run to complete the race?

Answers

Answer: 3750 m

Step-by-step explanation:

Remember that there are different units; one is in km and the other is in m

I’ll go from km to m

1 km = 1000 m

Therefore 5 km = 5 x 1000 m

5km = 5000 m

Now, we just subtract to find how much more Suzanne have to run

5000 m - 1250 m = 3750 m

A line passes through the points (4, -1) and (2,3). What is the slope of the line?
-2. 2
1/2
-1/2

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for, how many sidewalks must he shovel to meet his goal?

Answers

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

simplify 7y + 2x + 3x + 2y

Answers

9y+5x is the answer

Answer:

9y+5x

Step-by-step explanation:

To simplify you need to combine the numbers with like terms so this should be right.

PLS HELP NOBODY WILL HELP ME JUST SPAM ANSWERS I WANNA CRY JUST PLS ANYONE? ILL DEFINETLY GIVE BRAINLIEST : (

Answers

Answer:

7(left answer), 3(top left answer), and 10(top right answer)

Step-by-step explanation:

So what are two things that go into 21?

21 and 17 and 3

Out of those two, which is a factor of 70? Right off the bat we know 7 is.

THis isnt the greatest factor of 70, but it is for both 21 and 7, so now we know the left answer for hieght is 7.

Now 3 must be the top left answer, because you must make 21 with 7. 7 Goes into 21 3 times, so it has to be 3. So now we know that the top left anhswer is 3.

Finally we have our top right answer. We already know that the height is 7, now we need to find the width. All we have to do is divide 70 by the 7 heigh, and we will find our width:

70/7

=

10

So now we know that the top right answer is 10.

Sorry that you couldnt get a real answer from people, I hope this is in time to help!

Someone help me im struggling!!

Answers

Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

Brainliest and 15 points will mark brainliest if you have a correct response to my question and people that give irresponsible answers get their account reported.

Answers

Answer:

Part A: One.

Part B: (3, 5)

Step-by-step explanation:

Part A: A solution to a pair of equations is generally where the two functions intersect. As we can see, a graph is provided, so things are facilitated. We can see that they only intersect once, which means only one answer.

Part B: The solution, which as we have learned is where the two lines intersect, is (3, 5), as that is, again, the point of intersection.

A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?

Answers

4 Oranges, 310 divided by 5= 64, 64 times 4=248.

How many 30° angles does it take to make a full turn?

Answers

360 degrees is a full turn, so if you multiply 30 degreed by 12, you go around in a circle.

neeeeed helppppppppppppppppppppppppp

Answers

Answer:

I think the first one would be 49 and then 61 hope it helps :)

Collecting-

-4s + 5 + 5s - 3s​

Answers

-2s+5 is the answer I think.

You combine like terms

Answer:

-2x+5

Step-by-step explanation:

Let's simplify step-by-step.

−4x+5+5x−3x

=−4x+5+5x+−3x

Combine Like Terms:

=−4x+5+5x+−3x

=(−4x+5x+−3x)+(5)

=−2x+5

Hope this helps :)

HELP 15 POINTS
Write a rule for the nth term of the sequence. Then find a20 -
51,48,45,42

Answers

Answer:

45 because it is what I think

Heeeeeeeeeeeeeeeeeeeeeeeeelp me

Answers

Answer:

12-5=7

area of rectangle=length x width

7x20=140

area of square = side^2

5x5=25

140+25=165

hope that answers your question

Step-by-step explanation:

Answer:

165 in^2

Step-by-step explanation:

Split the polygon and make 1 rectangle and 1 square.

Now you got a 5x5 square and a 7x20 rectangle

Do the square one first...

5 x 5=25 in

Now do the rectangle one...

7 x 20=140 in

Last add them...

25+140=165 in^2

Hope this helps!!

Have a good day!!!

plsss beggg i need this right now. deadline now at 6:00 pm and it's 5:03 here so please answer this :(​

Answers

Answer:

Step-by-step explanation:

-First one is -17.3

-6 months

-ıdk this one

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

what is 3/8 plus negative1/2

Answers

Answer:

-1/8

Step-by-step explanation:

write all numerators above the least common denominator 8

3-4/8

calculate the product

-1/8

Answer:

negative 1/8 or 0.125

Step-by-step

-1/2 cancells out the plus, so it is just 3/8 - 4/8 = -1/8

This is the question I'm having trouble with in math class

Answers

Answer:

c

Step-by-step explanation:

ik

Round to the nearest tenth
Find x.

Answers

9514 1404 393

Answer:

  73.4°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 23/24

  x° = arcsin(23/24) ≈ 73.4°

20 points!!!!

in2. Round to the nearest whole
The area of the figure below is
number

Answers

Answer:

=760

Step-by-step explanation:

Area: [tex]\pi r^{2}[/tex]

diameter= 44

radios= 22

area of full circle:

3.14(22)^2

= 1519.76

Area of half circle"

1519.76/2= 759.88

=760

∛44x-7 -5=0 find the x

Answers

Answer:

x = 3.

Step-by-step explanation:

(∛44x - 7) - 5 = 0

Cube the expression.

44x - 7 - 125 = 0

Subtract.

44x - 132 = 0

Add 132 to both sides.

44x = 132

Divide by 44.

x = 3.

Proof:

(∛44x - 7) - 5 = 0

(∛44(3) - 7) - 5 = 0

(∛132 - 7) - 5 = 0

(∛125) - 5 = 0

5 - 5 = 0

0 = 0

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