Given x doesn't equal to 0, find the positive value of b such that the equation 3/x + x/3=b will have exactly one solution.

Answer:

[tex]d=\frac{3}{2}=1.5[/tex]

Step-by-step explanation:

We have the function:

[tex]y=a(x-2)(x-1)[/tex]

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

[tex]d=\frac{1+2}{2}=3/2=1.5[/tex]

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

[tex]y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a[/tex]

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

[tex]x=-\frac{b}{2a}[/tex]

So, we will substitute -3a for b and a for a. This yields:

[tex]x=-\frac{-3a}{2a}=\frac{3}{2}=1.5[/tex]

Confirming our answer.

Answer:

Temperature is a measure of the average kinetic energy of the particles in an object.

Step-by-step explanation:

which means its b

Answer:

[tex]\frac{10}{3}[/tex]  

I hope this helps!

Answer:

number of pins to perfect score

120/300=40/100

answer is 40%

Step-by-step explanation:

think sorry if im  wrong

Divide 120 by 300:

120/300 = 0.4

Multiply by 100 for the percentage:

0.4 x 100 = 40%

The decimal is 0.40

Answer:

1  1/3

Step-by-step explanation:

Volume of Cube1

= s³ = 8³ = 512ft³

Volume of Cube2

= s³ = 6.5³ = 274.625ft³

Difference in volume

237.375ft³

Answer:

b

Step-by-step explanation:

because because of the distribution property that turns into 4x + 2

Answer:

B

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Add 13.6to both sides.

60.4+13.6=v

Simplify  60.4+13.6   to  74

74=v

Switch sides.

v=74

Remove the v and = and the answer is

74

Answer:

-3

Step-by-step explanation:

-12 divided by 4 -3

Answer:15.5

Step-by-step explanation:

Answer:

15.5 feet

Step-by-step explanation:

To work out the perimeter of any shape, you need to add the lengths of all the sides together for the total perimeter.

4.5 + 6.4 + 4.6 = 15.5 ft

Answer:

10.08

Step-by-step explanation:

Answer:

262.07

Step-by-step explanation:

i hope it right have a good day

can i get brainliest and the taxes are 10.08

Answer:

The answer is m= 2.4r.

The equation that represents and reflects the relationship between x and y is [tex]\mathbf{y =2.4x}[/tex]

Let y represents the amount they collect, and x represents the number of raffle tickets they sell.

So, the ratio is represented as:

[tex]\mathbf{y : x =24 : 10}[/tex]

Express the ratio as fractions

[tex]\mathbf{\frac{y }{ x} =\frac{24 }{ 10}}[/tex]

Divide 24 by 10

[tex]\mathbf{\frac{y }{ x} =2.4}[/tex]

Multiply both sides by x

[tex]\mathbf{y =2.4x}[/tex]

So, the equation that represents and reflects the relationship between x and y is [tex]\mathbf{y =2.4x}[/tex]

See attachment for the graph of [tex]\mathbf{y =2.4x}[/tex]

Read more about proportional equations at:

https://brainly.com/question/894687

Answer:

im not sure but i think impossible

Step-by-step explanation:

Answer:

100 x 38

Step-by-step explanation:

100

x 38

-------

3800 <------ Is the product. It is bshown  lby...

The left side

Has been shaded green with 46 blocks.

The red is the same thing with 46 blocks.

The blue has eight blue blocks from the second side.

The second side:

This show's about 38 shaded blue blocks.

The white side doesn't.

I hope this helps! My brother helped me figure out this also.

Answer:

-0.333333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

Answer: 20% (20 percent)

Step-by-step explanation:

Protein has 4 cal per gram and a solid eating routine around 12 to 20% of your absolute day by day calories

Answer:

it is -7/1 or -7

Step-by-step explanation:

Answer:

8.96 dollars off.

So the cost of the sweater is 16.64

Step-by-step explanation:

I multiplied 25.60 by .35 to get 8.96 dollars off,

Then, I subtracted 25.60 and 8.96 to get a cost of 16.64

Answered by:

matthewarvin06

If this helped, please leave a rating and a thank you! It's very much appreciated and motivated me to keep doing this. Thanks!

Answer:

I hope this helps!

Answer:

15/4 --> 3 3/4

21/4 --> 5 1/4

28/4 --> 7

5/4 --> 1 1/4

Step-by-step explanation:

Awnser: Expertise=C Stereotype=C

Answer:

according to dictionary:

expertise -a high level of special knowledge or skill

stereotype - a fixed idea about a particular type of person or thing, which is often not true in reality.

Answer:

H!

Step-by-step explanation:

Answer:

i think its the first one

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The greatest number of friends is 6

Step-by-step explanation:

It's 6 because he wants to be able to give his friends all the cards evenly, but he only has 6 basketball cards which menas that if he wanted to give away more cards, he wouldn't be able to give them basketball cards.

Answer:

178.5

Step-by-step explanation:

First, you take 8*10 and the subtract 7. Second, because it is a fraction, you divide it by 4*10-4. Basally,  its 8*10=80-7/4*10=40-4