The axis of symmetry for the graph of the function f(x) =
-x2 + bx + 10 is x=6. What is the value of b?
--3
Ο Ο Ο Ο

Answers

Answer 1

Answer:

12

Step-by-step explanation:

[tex]y = - x {}^{2} + bx + 10 \\ y = - (x {}^{2} - bx - 10) \\ y = -( (x - \frac{b}{2} ) {}^{2} - \frac{b {}^{2} }{4} - 10) \\ y = - (x - \frac{b}{2} ) {}^{2} + 10 + \frac{b {}^{2} }{4} \\ \\ therefore \: \frac{b}{2} = 6 \\ b = 12[/tex]


Related Questions

simplify 7x + 2 - 3x, if x = 8

Answers

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

(7*8)+2-(3*8)

=34

....

What is the mean of the following numbers?


x-3a,x-2a,x-a,x,x+a

Answers

Answer:

x-a

Step-by-step explanation:

Mean=sum of data /no of data

=x-3a+x-2a+x-a+x+x+a/5

=5x-5a/5

=5(x-a)/5

=x-a

If x = 3, what is the value of x(14 - x)?

Answers

Answer:

33

Step-by-step explanation:

x(14 - x)

Step One: Substitute

3(14 - 3)

Step Two: Brackets/Parenthesis

3(11)

Step Three: Multiply

33

Answer:

33

Step-by-step explanation:

1. Subtract the numbers

(14-3)

2. Multiply the numbers

3*11= 33


Ignore the rotation 90 clockwise

Answers

Answer:

A reflection about y=x

Step-by-step explanation:

The 4 transformations are

TranslationRotationReflectionDilation

Let eliminate which ones won't work.

A translation wouldn't flip the triangle in a different direction after translating it so we won't translate it.

A dilation changes the length for the triangle but the triangles are congruent so we won't dilate it.

A rotation about the orgin wouldn't work nor a specific point so a rotation isnt going to work.

A reflection will work so what will we reflect about.

Some corresponding coordinates are5,6 and 7,61,6 and 7,23,8 and 9,4.

A reflection makes a reflected point equidistant from the line of reflection and their original point is equidistant from line of reflection.

So let find the midpoint of all the points and find a line where all of them are on.

The midpoint respectively are

6,64,46,6

Let find the line that includes both these points.

[tex] \frac{6 - 4}{6 - 4} = \frac{2}{2} = 1[/tex]

So this means our slope is x. The y value corresponds with the x value so the answer is

[tex]y = x[/tex]

So the answer is

"A reflection about y=x

Solve for ? Round to near whole number

Answers

Answer:

? =50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/hyp

Taking the inverse cos of each side

cos^-1 (cos ?) = cos^-1( 14/22)

? =50.47880364

To the nearest degree

? =50

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0: p 0.28 vs Ha: p 0.28 when the sample has n 900 , and p ^ 0.216 with SE 0.01 . Find the value of the standardized z -test statistic.

Answers

Answer:

The value of the standardized z-test statistic is -6.4.

Step-by-step explanation:

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0.28 is tested at the null hypothesis:

This means that [tex]\mu = 0.28[/tex]

p ^ 0.216 with SE 0.01

This means that [tex]X = 0.216, s = 0.01[/tex]

Then

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.216 - 0.28}{0.01}[/tex]

[tex]z = -6.4[/tex]

The value of the standardized z-test statistic is -6.4.

A group of three people are selected at random, what is the probability that all the three people have different birthdays.

Answers

Answer:

1:1

Step-by-step explanation:

this is because they are selected at random 3/3=1

The RAND() function in Excel returns a pseudo-random number between 0 and 1. If you enter this function into 1000 cells (i.e. enter the formula in one cell and copy it to 999 other cells), approximately how many of these cells will contain values less than or equal to 0.2?
a. A number relatively close to 1.
b. A number relatively close to 10.
c. A number relatively close to 100.
d. A number relatively close to 500.
e. A number relatively close to 1000.

Answers

Answer:

c. A number relatively close to 100.

Step-by-step explanation:

Given

[tex]Range: 0 \to 1[/tex]

[tex]N =1000[/tex] --- i.e. the cells

Required

Number of cells that contains less than or equal 0.2

Less than or equal 0.2 means that the numbers are approximately 20% of the whole distribution

So, to calculate the number (n) of these cells, we do the following computation

[tex]n = 20\% * N[/tex]

[tex]n = 20\% * 1000[/tex]

[tex]n = 200[/tex]

200 is closer to 100 than 500. Hence, (c) is correct

What’s the answer and give an explanation.

Answers

Answer:

14 = x and 2.5 = y

Step-by-step explanation:

For ABCD - the top is 8 and the sides are 11. 11 minus 8 is 3. 11 plus 3 equals 14, that’s x.

For GHIJ - the bottom is 8 and both sides are 5.5. So 8 minus 5.5 is 2.5. That’s y.

Q10/ scale factor of polygon ABCD to polygon GHIJ = 11/5.5 = 2

Q11/ scale factor of polygon GHIJ to polygon ABCD = 1:2

Q12/ x = 8 × 2 = 16

        y = 8 / 2 = 4

Q13/ ABCD ⇒ label x as 16, y as 4

         GHIJ ⇒ label HI line to 5.5

Q14/ ratio = 46 : 23

                = 2 : 1

hope this helps....

can you please help me with this question ?​

Answers

Answer:

It is a Cuboid

Area of the base = 12x9

Area of the top = 12x9

Area of the right lateral faces = 9x7

Area of the left lateral faces = 9x7

Area of the front face = 12x7

Area of the rear face = 12x7

Total surface area is the sum of above (please do it yourself)

The volume = base surface Area x height

= 12x9x7 = 756

Be reminded to put in the right unit for Area and volumn

Answer:

its a prism

Step-by-step explanation:

to find area of all the sides, you multiply the bottom and top measurements.

12 x 7 is 84cm[tex]^{2}[/tex]

12 x 9 is 108[tex]cm^{2}[/tex]

9 x 7 is 63[tex]cm^{2}[/tex]

for surface area, add the area of all the faces

63x2+108x2+84X2=510

volume is length x width x hight

12 x 9 x 7 = 756 [tex]cm^{3}[/tex]

Convert the equation into Slope Intercept form (y=mx+b).
9y = -3x + 5

Answers

Answer:

y = -⅓ X + 5/9

slope = - ⅓

...

Answer:

slope intercept form is: (That is in the first pic)

y= - 1/3x + 5/9

slope = - 1/3

Step-by-step explanation:

See image below:) Hope this helps

Match the graph with its function by translating the graph of y = √x.

Answers

Answer:

The correct answer is [tex]y = \sqrt{x} - 4[/tex]

Step-by-step explanation:

We are given:

[tex]y = \sqrt{x}[/tex]

The domain of the function is [0, infinity).

In the graph:

The domain(values of x), is still [0, infinity). Thus, there was no change in the domain, which rules out the first and the third option.

Change:

The change in the graph is that the function starts 4 units down(sqrt(0) = 0, in the graph when x = 0, y = -4). That is, 4 is subtracted from the function, and thus the correct answer is [tex]y = \sqrt{x} - 4[/tex]

i dont get how to do this so i was wondering if someone could explain to me

Answers

Answer:

The are vertical angles.

Step-by-step explanation:

So as you can see in my picture i drew those lines, they are vertically opposite from each other.

Hope this helps!

Good Luck!

Please mark me bralinest if you can :)

Answer:

Vertical

Step-by-step explanation:

<AGB and <EGD are vertical angles because they are vertically opposite from each other since they were created from two lines crossing.

-You know that they aren't adjacent because they aren't next to each other and don't share a side or a vertex.

-They can't be supplementary because they don't add up to 180 degrees

-They can't be complementary because they don't make up 90 degrees

What is the slope of the line that passes through the points (5,8) and (7,4)

Answers

Answer:

slope is -2

Step-by-step explanation:

1. go to geogebra.org/classic (this is a graphing calculator)

2. enter your two points by using the second button on the top of the screen

3. connect a line from one point to the other using the 3rd button on the top of the screen

4. click on the line and it shall tell you the equation, including the slope :O))))

the slope is -2 and the equation is y = -2x + 18

Answer:

-4/2 = -2/1 = -2

Step-by-step explanation:

Slope is rise/run or as the formula states, Y2 - Y1 / X2 - X1

If you substitute the known values into this formula, you will get

4 - 8 / 7 - 5

This simplifies to

-4 / 2

You can then simplify further if needed:

-4/2 = -2/1 = -2

How to write the fraction 34/100 as a decimal

Answers

To write the fraction as a decimal would be 0.34

what is the domain of the function y=^3sqrtX?

Answers

Answer:

A

Step-by-step explanation:

I believe this is correct.

Answer: A
Hope this helps

Which of the following is a disadvantage to using tables? Check all that apply.

MULTIPLE CHOICE
NO LINKS

A. Graphs are much easier to work with for all problems.

B. They force you to do every problem twice, once with a table and once with an equation.

c. It is often difficult to solve complicated problems with tables alone.

D. They organize the data.

Answers

Answer:

C) It is often difficult to solve complicated problems with tables alone.

Step-by-step explanation:

Tables can be regarded mathematical tools used in representation of data in very organised form. The arrangements is in form of rows and columns which often gives description of an array of data in table format. Tables are best use in solving simple problems. Tables helps to show results for calculation that has varying arguments. It should be noted that the disadvantage to using tables is that It is often difficult to solve complicated problems with tables alone.

for what value of a is x-3 a factor of x^3-4x^2+ax-2a

Answers

Answer:

2x

Step-by-step explanation:

because it's2 so two ok carRy on

The value of a is 9.

What is factor?

A factor of polynomial P(x) is any polynomial which divides evenly into P(x).

How to find the solution for a polynomial?

For finding the factor of a polynomial we will perform following steps:

If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then  solve for x.

According to the given question.

We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]

Also, x - 3a is a factor of the given polynomial.

⇒ [tex]x - 3 = 0[/tex]

⇒[tex]x = 3[/tex]

⇒ 3 is the one solution of the given cubic polynomial.

If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).

So, substitute the value of x in the given polynomial.

[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]

⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]

⇒[tex]27 - 36 + 3a - 2a= 0[/tex]

⇒[tex]-9 + a = 0[/tex]

⇒ [tex]a = 9[/tex]

Therefore, the value of a is 9.

Find out more information about factor  and solution of polynomial here:

https://brainly.com/question/26354419

#SPJ2

Brainiest and 10 Points
Iready Test

Answers

Option C. (200+400)-250=p will help him figure out the exact amount of points Michael needs to get

Hey does anyone know how to solve this need an answer quickly

Answers

I’m so so sorry I don’t know that I wish I could help but I can’t :(

Find the area of the shaded religion.

Giving brainliest! <3

Answers

Answer: 240 feet

Step-by-step explanation:

What you could do is find the area of the whole thing. 12x25 is 300. Then, you can find the area of the white part, which is 60, because you multiply 12x5. then, you would subtract 60 to 300, which would get you to 240 feet.

Answer:

The answer is : 240cm² for the shaded part

The unshaded part is = 60cm²

The whole rectangle = 300cm²

Step-by-step explanation:

Area is = WL

W = width (while the) L= length

The Area = 25 × 12 = 300

The area of the full rectangle is = 300

The unshaded part is = 5 × 12 = 60

So the shaded part is = 300 - 60 = 240cm²

[tex]so \: the \: answer \: is \: = 240cm^{2} [/tex]

What Two numbers add to -2 and multiply to -99

Answers

Answer and Step-by-step explanation:

To numbers that add to -2 and multiply to -99 are:

-11 and 9.

When we do -11 + 9, we get -2.

When we multiply -11 by 9, we get -99.

#teamtrees #PAW (Plant And Water)

-11 and 9 would be the correct answer

Enter the value that will complete this expression for converting 72 inches to yards

Answers

Answer:

the answer is 12 inches

Step-by-step explanation:

there is 1 foot per 12 inches

or

12 inches make a foot

Please help is for now

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

Given:

[tex]-2(1-4x)=3x+8[/tex]

Let's distribute the parenthesis

[tex]-2+8x=3x+8[/tex]

Let's subtract [tex]-3x[/tex] from both sides

[tex]-2+5x=8[/tex]

Let's add [tex]2[/tex] to both sides

[tex]5x=10[/tex]

Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone

[tex]x=2[/tex]

Hope this is helpful

Step-by-step explanation:

How to solve your problem

−2(1−4)=3+8

-2(1-4x)=3x+8−2(1−4x)=3x+8

Solve

1)

Rearrange terms

−2(1−4)=3+8

-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8

−2(−4+1)=3+8

-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8

2)

Distribute

−2(−4+1)=3+8

{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8

8−2=3+8

{\color{#c92786}{8x-2}}=3x+88x−2=3x+8

3)

Add 

2

22

 to both sides of the equation

8−2=3+8

8x-2=3x+88x−2=3x+8

8−2+2=3+8+2

8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2

4)

Simplify

Add the numbers

Add the numbers

8=3+10

8x=3x+108x=3x+10

5)

Subtract 

3

3x3x

 from both sides of the equation

8=3+10

8x=3x+108x=3x+10

8−3=3+10−3

8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x

6)

Simplify

Combine like terms

Combine like terms

5=10

5x=105x=10

7)

Divide both sides of the equation by the same term

5=10

5x=105x=10

55=105

\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510

8)

Simplify

Cancel terms that are in both the numerator and denominator

Gabriela believes that purchasing the sound system is an essential purchase . Does that mean buying a sound system is an essential purchase for everyone ? Why or why not ? Be sure to use the terms essential " and " discretionaryin your response.

Answers

no because not every one wants or needs a essential sound system

What is the approximate volume of the cone? Use 3.14 for pi

Answers

Answer:

157 cm cubed

Step-by-step explanation:

hope this helps!

Answer:

157cm3

Step-by-step explanation:

V=1/3πr2h

=1/3*3.14*5*5*6

=5*5*2*3.14

=157cm3

In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?

Answers

Answer:

100 grams

Step-by-step explanation:

1/2 * 1/2 = (1/2)² = 1/4

1/4 * 400 = 100

an investment of Rs 100000 is made which on interest at the rate of 8% per year if the interest is compounded continuously to what value with investment grow in 7 year period​

Answers

Answer:

A = $174,742.21

A = P + I where

P (principal) = $100,000.00

I (interest) = $74,742.21

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100,000.00(1 + 0.08/12)(12)(7)

A = 100,000.00(1 + 0.006666667)(84)

A = $174,742.21

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $100,000.00 at a rate of 8% per year compounded 12 times per year over 7 years is $174,742.21.

Please help image attached
A) is -4 a solution to this inequality

B) choose the correct inequality

Answers

yes : there is a closed dot on -4 which means it can be -4
C : x is greater than 40, Eric has practiced more than 40 hours
Hope this helps!

Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee

Answers

Answer:

x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_

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