What is the minimum value of F(x)= 10x^{2} -6x-3
3/10 or -39/10

Answers

Answer 1

Answer: 3/10

Step-by-step explanation:

Take the derivative of [tex]10x^2-6x-3[/tex] to get [tex]20x-6[/tex]. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

[tex]20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}[/tex]

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value


Related Questions

solve for s if -2=4r+2

Answers

The answer should be r=-1

Answer:

[tex]\boxed {s = -2 - 4r}[/tex]

Step-by-step explanation:

Solve for [tex]s[/tex]:

[tex]-2 = 4r + s[/tex]

-Switch sides:

[tex]-2 = 4r + s[/tex]

[tex]4r + s = -2[/tex]

-Subtract [tex]4r[/tex] to both sides:

[tex]4r - 4r + s = -2 - 4r[/tex]

[tex]\boxed {s = -2 - 4r}[/tex]

George and Jerry are selling nuts for their band fundraiserGeorge sold 12 cans of cashews and 7 cans of almonds for $112. Jerry sold 4 cans of cashews and 10 cans of almonds and made $68. Set x = the price for a single can of cashews and y=t0 the price for a single can of almonds. What was the price for a single can of cashews and a single can of almonds? You must write the system of equations for this situation and show how you arrived at your answer in order to receive full credit for this problem.

Answers

Answer:215

Step-by-step explanation:You have to add to get your answer.

12+12=24

24+112=136

136+7=143

143+4=147

147+68=215

Your answer is:215

solve 2(x-2) = 3(x+2)-8

Answers

Answer:

x = -2

Step-by-step explanation:

2(x-2) = 3(x+2)-8

Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.

2x-4 = 3x+6-8

Combine the 6 and -8

2x-4 = 3x-2

Subtract 2x from both sides

-4 = x-2

Add 2 to both sides

-2=x

860÷43 what is the answer?​

Answers

Answer:

20

Step-by-step explanation:

You would do this by dividing 43 into 860

The answer to the problem is 20

Brainliest to the first person with the written steps.

Answers

Answer:

x = 25

Step-by-step explanation:

2(3x - 4) = 5x + 17

6x - 8 = 5x + 17

x - 8 = 17

x = 25

What is the equation of this graph?

A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x+ 2

Answers

Answer:

The equation would be Y= -7/2x + 7

Step-by-step explanation:

With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.

To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.

So we get Y= -7/2x +7

The slope is ALWAYS put next to the variable x.

Hope this helps! :)

(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)

Answer:

D. y= -7/2x +7

Step-by-step explanation:

From the graph we see that (0,7) is a point in which our line intersects on the y axis meaning that it will be our y intercept. Thus eliminating option E.

Next, we know that this graph is moving towards the left side of the graph meaning that the values will turn negative and thus meaning that the graph is decreasing, so our slope will be negative.

We know that slope is Rise/run. In thsi case, the graph doesn't have an even run of 2x or -2x because it doesn't intersect directly at those points. This eliminates A and B.

We are now left with Options C and D. Said before, 2 is our run in this graph because when observing the graph, we see that the point (2,0) is lowered by 7 and moved to the right 2. Meaning that 7 is our rise in this case and 2 would be our Run. But because it is negative pur slope is -7/2x.

Which eliminates C. Thus leaving option D as our answer

Given the ratio of 8 ounces to 1 cup, how many ounces are in 4 cups?

StartFraction 8 ounces Over 1 cup EndFraction = StartFraction question mark ounces Over 4 cups EndFraction

There are ounces in 4 cups.

Answers

Answer: 8/1 = 32/4  (32 ounces in 4 cups)

Step-by-step explanation:

-8 3/4 ÷ 2 1/6 how do I solve this

Answers

Answer:

-4 1/26

Step-by-step explanation:

You will want to Reduce the expression, if possible, by cancelling the common factors.

The graph shows a reflection.

True or false: The pre-image and the image are not congruent.

Answers

Answer:

False

Step-by-step explanation:

That is false

If the pre-image is reflected over any axis, the image will still be congruent to it

4 divided by what gives me the answer

Answers

Answer:

9

Step-by-step explanation:

There are 136 animals at a pet store. 48 are cats. The rest are dogs. What fraction of the animals are dogs? Someone pls help :C

Answers

Answer

[tex]\frac{11}{17}[/tex]

Step-by-step explanation:

first, make an equation. here (d) represents the number of animals that are dogs.

136-48= d

d= 88

now we have [tex]\frac{88}{136}[/tex]

all you have to from here is simplify,

88/136= [tex]\frac{11}{17}[/tex]

Answer:

11/17

I checked on the RSM system it says it is correct

(4.4x10^-6)x(3.9x10^2) in correct scientific notation

Answers

Answer:

1.716*10^-3

Step-by-step explanation:

(4.4*10^-6)*(3.9*10^2)=0.001716

To convert 0.001716, we need to move the decimal places three places to the right to make sure the number is between 1 and 10. Moving three places to the right makes the exponent negative.

5x-2y ≤ 20 can you guys solve this.

Answers


Your answer is y ≥ −10 + 5x/2

Answer:

Step-by-step explanation:

Let's solve for x.

5x−2y≤20

Step 1: Add 2y to both sides.

5x−2y+2y≤20+2y

5x≤2y+20

Step 2: Divide both sides by 5.

5x /5 ≤ 2y+20 /5

x≤ 2 /5 y+4

Answer:

x≤ 2 /5 y+4

Let's solve for y.

5x−2y≤20

Step 1: Add -5x to both sides.

5x−2y+−5x≤20+−5x

−2y≤−5x+20

Step 2: Divide both sides by -2.

−2y /−2 ≤ −5x+20

−2 y≥ 5 /2 x−10

Answer:

y≥ 5 /2 x−10


A tree grows 10 inches each year. When the tree is 6 years old, it is 108 inches tall.
Use this information to write an equation.
How tall will the tree be in 50 years?

Answers

It should be 608 inches because 10x50 is 500 and if you add the 108 inches to it then I it would be 608!

what is the solution to x + 9 = -18​

Answers

Answer: x= -27

Step-by-step explanation: subtract 9 from both sides to get x by itself

Answer:

X=-27 Should be the answer

Step-by-step explanation:

Subtract 9 from both sides of the equation

X = -18 - 9

Subtract 9 from -18

X = -27

what is 5/8x + 1/5x = 99

Answers

x = 120

Too long to exaplin.

Just trust me

Hope this helps I attached a photo with answer and steps

an online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store charges to ship n boxes. Use the explicit formula to determine how much you online store charges when shipping 11 boxes.​

Answers

Answer:

An explicit formula for the shipping cost is  = . The store charges $55 when shipping 11 items.

Step-by-step explanation:

An online store charges when shipping 11 boxes would be; 55 dollars

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with their adjacent terms differing with one common difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term, and the common difference.

Given that the online store charges $5 to ship one box and $10 to ship two boxes.

We have to write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.

From what we know so far;

y = 5n

Now Using the explicit formula to determine how much the online store charges when shipping 11 items.

y = 5(11)

y = 55 dollars

Hence, A online store charges when shipping 11 boxes would be; 55 dollars

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

Which of the following best describes the blue line in the image below

Answers

C i believe it will Be!

Answer:

C the line through point C that is perpendicular to the segment AB

Please can someone answer this

Answers

Answer:

The correct answer is a total of 9 arrangements with a total of 8 balloons in each. 4 mb, 3 wb, 2 ob.  

Step-by-step explanation:

There is a total of 72 balloons just divide by 8.

72/8 = 9

since 32, 24, 16 are divisible by 8 now we can divide and get 9 arrangements.

4 maroon ballons

3 white balloons

2 orange balloons

9 total

Helppppppdhsgsgagagagagsgsgsgsgsgdgdgdhdhsushdhdhshshshsgsgs

Answers

Answer:

I believe the answer would be 50.714 degrees, I'm not sure how they want you to round that though.

2x - 4 = 7x - 34 could u help thanks

Answers

Answer:

2x-4= 7x-34

30=5x

6=x

Step-by-step explanation:

bring the variables to one side and numbers to the other by either subrtracting or adding depending on the values.

now divide 5 on both sides

now you have the answer

I hope this helps!

If correct ill give brainlist

Answers

Answer:

x=40

Step-by-step explanation:

Hi I don’t get it either welp

I need help ASAP plz helppppppppp

Answers

Answer:

C

Sorry no step by step in a hurry.

explain why the slope of line a is 2/6​

Answers

Answer:

Step-by-step explanation:

Hi so 2/3

where slope means rise over run

so  it means the first point or you slope(x1 y1)

and you take that point, go up 2 on Y, and move 6 unit to the left(x)

6• 4^2 + (6-8) • 3 ?? HELP PLSZZZZZZZ

Answers

Answer:

90

Step-by-step explanation:

6x4^2+(-2)x3=

6x16-2x3=

96-6=

90

Answer:

90

Step-by-step explanation:

You would use PEMDAS (or GEMDAS) to solve it.

First solve the parenthesis:

[tex]6*4^{2} +(6-8)*3[/tex]

[tex]6*4^{2} -2*3[/tex]

Then you would solve the exponent:

[tex]6*4^{2} -2*3[/tex]

[tex]6*16 -2*3[/tex]

Then you would solve for multiplication/division in the order they appears:

[tex]6*16 -2*3[/tex]

[tex]96 -2*3[/tex]

[tex]96 -6[/tex]

Finally, subtract/add the numbers in the order they appear:

[tex]96 -6[/tex]

[tex]90[/tex]

What single transformation was applied to triangle AAA to get triangle BBB?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Translation

(Choice B)
B
Rotation

(Choice C)
C
Reflection

(Choice D)
D
Dilation

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

answer is step 5 choice a

3. You sell storm windows and doors. You receive a straight

commission of 8% of the selling price of each storm window

and 12% of the selling price of each door. What total

commission will you receive for selling $5,400 in storm

windows and $28,790 in doors?

Answers

Answer:

[tex]\$3886.8[/tex]

Step-by-step explanation:

Commission received on selling each storm window [tex]=8\%[/tex] of the selling price of each storm window

Commission received on selling each door [tex]=12\%[/tex] of the selling price of each door

Amount earned on selling storm windows = $5,400

Amount earned on selling doors = $28,790

Commission received on selling storm windows [tex]=\frac{8}{100}(5,400)=\$432[/tex]

Commission received on selling doors [tex]=\frac{12}{100}(28,790)=\$3454.8[/tex]

Therefore,

Total  commission received [tex]=432+3454.8=\$3886.8[/tex]

Brynn rides her bike 84 miles in 4 hours.
a. Create a ratio of Brynn's miles per hour.

Answers

Answer:

21:1

Step-by-step explanation:

84 / 4=21

is 7.2 a negative number?​

Answers

Answer:

no

Step-by-step explanation:

unless it has a - in front of it no

Answer:

no

Step-by-step explanation:

PLEASE HELP FAST. EASY POINTS

Answers

To find the box to the top left, we can multiple the sides like rectangles. To find the top left box, we can multiply -1 and 0.5y to get -0.5y.

To find the box on the bottom right, we can multiply the sides like rectangles again. To find the bottom right box, we can multiply 24x and 3 to get 72x.

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