what is the axis of symmetry of the graph of function f(X) = X2 - 10X +16

Answers

Answer 1

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

Answer 2

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5


Related Questions

2. Jasmine ran 22 kilometers. One mile is approximately equal to 1.6 kilometers. Which
measurement is closest to the number of miles Jasmine ran?
a 13.75 mil
b. 35.2 mi
c. 23.6 mi
d. 22 mi

Answers

step one it says Jasmine ran 22 km is approximately equal to 1.6 km in which measurement is closest to the number of miles Jasmine ran the correct answer is C

Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2

Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.

Answers

Answer:

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.

Answer:

yes

Step-by-step explanation:

Find the missing dimension of the cylinder, Round your answer to the nearest whole number.
Volume = 250 ft
Diameter is 8ft

Answers

Answer:

[tex]radius = \frac{diameter}{2} \\ = \frac{8}{2} = 4 \: ft \\ volume = \pi {r}^{2} h \\ 250 = 3.14 \times {4}^{2} \times h \\ 250 = 50.24h \\ height = 5 \: ft[/tex]

the answer to your question is 5 ft

Anthony owns a small business selling ice-cream. He knows that in the last week 7
customers paid cash, 40 customers used a debit card, and 32 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.

Answers

Answer:

91

Step-by-step explanation:

91

5 to 20 1 to 4 7 to 480​

Answers

May you please give us the actually question ?

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how much of the job could janice and caren do in 1 day

Answers

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days1 person ⇒ x

Then:

[tex]x=\frac{1 person*\frac{10}{3}days }{3 persons}[/tex] (we cancel the unit "persons")[tex]x=\frac{\frac{10}{3}days }{3}[/tex]x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = [tex]\frac{10}{2}days[/tex]Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

5 days ⇒ 100% of a job1 day ⇒ x

Then:

[tex]x=\frac{1*100}{5}[/tex] (you can use the % if you want, the result is the same)[tex]x=\frac{100}{5}[/tex][tex]x=20[/tex]

As you can see, Janice and Karen just in a day could do 20% of the job.

Multiply or divide
(K²) (k)

Answers

Algebra

For example, (x)(x)=x^2

Add the exponents of the variable to get the correct answer.

(k^3)(k^5)=k^8

Answer and Step-by-step explanation:

When two values have the same base, have exponents, and are being multiplied to each other, then we add together the exponents.

So, we are given k to the power of 3, which is multiplied by k to the power of 5. The powers (exponents) are added together to make 8, and the bases combine to be only one of the bases, being k.

So, we are left with the answer being [tex]k^8[/tex].

I hope this helps!

#teamtrees #PAW (Plant And Water)

Find the slope of the line

Answers

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

if you solve this ..

u are not human being .​

Answers

Answer:

I have not solved

Step-by-step explanation:

I am human being sonI didn't answer

Mark me as brainliest

Heston found the opposite of a number
to be negative 4.2. What is the number?

Answers

um 4.2 maybe since -4.2 and 4.2 or on the opposite scale

A population of rabbits has a mean life span of 10 years with a standard deviation of 2.6 days. If a sample of 30 rabbits is taken from this population, what is the probability the sample will have a sample mean life span of less than 9 years rounded to the nearest tenth of a percent? (Do not type in the percent symbol)

Answers

Rabbits was a good night to see how you are your dad is going to be happy

Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Helpp

Answers

Given:

The equation is:

[tex]y=2x+1[/tex]

To find:

The y-coordinates for the ordered pairs (0, _), (-1, _) and (1, _)for this equation.

Solution:

We have,

[tex]y=2x+1[/tex]

For [tex]x=0[/tex],

[tex]y=2(0)+1[/tex]

[tex]y=0+1[/tex]

[tex]y=1[/tex]

For [tex]x=-1[/tex],

[tex]y=2(-1)+1[/tex]

[tex]y=-2+1[/tex]

[tex]y=-1[/tex]

For [tex]x=1[/tex],

[tex]y=2(1)+1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Therefore, the complete ordered pairs are (0,1), (-1, -1) and (1,3). Plot these points on a coordinates plane and connect them by a straight line as shown in the below figure.

what is the answer to 6x + 5(2x + 7) = 9x + 5

Answers

Answer: OOOOOKAY So I got three answers they all equal to the same thing

Step-by-step explanation:

Exact Form: x = -30/7

Decimal Form: -4.285714..

Mixed Number Form: x - 4 2/7

Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.

Answers

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.

I WILL MARK BRAINLIEST!!!!
A, B C or D?
Box-and-whisker plot​​

Answers

Answer:

the answer for this is A

Step-by-step explanation:

B,D,Erespectively representing the numbers are: 8,16,19.

8 as seen is the lowest.

16 as seen is the median .

19 as seen is the greatest.

Therefore the answer is A.

Question on image. part(2)

will report answers out of question. Thank you

Answers

Answer:

67°

Step-by-step explanation:

< EFB = ½× (163-29) = ½×(134) = 67°

Need help with this

Find each indicated measure for circle O

Answers

Answer:

Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61

Step-by-step explanation:

Angle A = Arc BD/2  (Inscribed Angle)

Angle A = 82/2

Angle A = 41

Arc CE = 2 x Angle CEB (Inscribed Angle)

Arc CE = 2 x 21

Arc CE = 42

Angle C = Arc BD/2 (Inscribed Angle)

Angle C = 82/2

Angle C = 41

Angle D = Arc AC/2  (Inscribed Angle)

Angle D = 80/2

Angle D = 40

Angle ABE = Arc AE/2

Angle ABE = Arc AC + Arc CE/2

Angle ABE = 122/2

Angle ABE = 61

m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

What are angles in a circle ?

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

a. m < A = [tex]\frac{1}{2}[/tex] mBD

= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]

= [tex]39^{0}[/tex]

b. mCE = 2m < CBE

= 2 × [tex]20^{0}[/tex]

= [tex]40^{0}[/tex]

c. m < c = m < A = [tex]39^{0}[/tex]

d. m < D = [tex]\frac{1}{2}[/tex] mAC

= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]

= [tex]37^{0}[/tex]

e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE

= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]

= [tex]57^{0}[/tex]

Hence, m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

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How many 5 minutes intervals are there in 1 ¼ hours?​

Answers

Answer:

1 1/4 hours=60+15 minutes =75 minutes

hence, 75 divided by 5 = 15 five minutes intervals:)

Ans: 15 five minutes intervals

Answer:

There are 15 five minute intervals

Step-by-step explanation:

60 minutes is 1 hour

1/4 hours is 15 minutes

1 1/4 hour is 60+15 = 75 minutes

75 minutes / 5 minutes =15

There are 15 five minute intervals

(The following math problem is from my math book)

Select TWO questions that can be answered by calculating 2 1/4 ÷ 3/8.

A. Sarah has 214 cups of sugar. A recipe she makes requires 38 cups of sugar per batch. How many batches can Sarah make with the sugar she has?

B. There were 214 pizzas in the kitchen. Martina and her friends ate 38 of the pizza. How many pizzas were left?

C. Ivan makes 214 quarts of salad dressing. Vinegar makes up 38 of the volume of the salad dressing. How many quarts of vinegar did Ivan use?

D. Junior ran 214 miles today. This is 38 the distance he ran last weekend. How many miles did Junior run last weekend?

E. A 38-ton load is placed in a 214-ton truck. How much does the truck weigh with the load in it?

Answers

Answer:

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.

Find the value of x. If necessary, round to the nearest tenth.

Answers

Answer:

10.3 in

Step-by-step explanation:

a = (1/2)b*h

53 = (1/2)x * x

53 = (1/2)x²

Multiply both sides by 2

106 = x²

Take the square root of both sides

x = 10.3

PLEASE HELP ASAP <3 Express as a trinomial (3x+5) (x+1) :)

Answers

Answer:

[tex]3x^2+8x+5[/tex]

Step-by-step explanation:

[tex](3x+5)(x+1)[/tex]

[tex]3x(x+1)+5(x+1)[/tex]        Distribute

[tex]3x(x+1)+5(x+1)[/tex]        Distribute [tex]3x(x+1)[/tex]

[tex]3x^2+3x+5(x+1)[/tex]        

[tex]3x^{2} +3x+5(x+1)[/tex]         Distrbute [tex]5(x+1)[/tex]

[tex]3x^2+3x+5x+5[/tex]            Combine like terms

[tex]3x^{2} +8x+5[/tex]

Answer:

3x²+8x+5

Step-by-step explanation:

Hi there!

We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)

we can multiply using FOIL; firsts, outers, inners, and lasts

Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)

So we'll multiply:

3x*x=3x²

Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1)  (remember to include the sign!)

So we'll multiply:

3x*1=3x

then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)

So we'll multiply:

5*x=5x

finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)

So we'll multiply:

5*1=5

now let's add up everything:

3x²+5x+3x+5

we have some like terms that we can combine

3x²+8x+5

Hope this helps!

Use mapping notation to descrittranslation left 3 units and down 5 units.
A (x) → (x - 3,75)
B. (x, y) = (x +3. y-5)
C. (x,y) → (x - 3, y + 5)
D. (x,y) → (*- 5.y+3)
Please select the best answer from the choices provided
A
B
С
D
WHATS THE ANSWER

Answers

Answer:

Step-by-step explanation:

please helppp!! I don't know how to do this

Answers

Answer:

it would be (-2,-4)

Answer:

I = (- 2, - 4 )

Step-by-step explanation:

point I is positioned 2 left ( - direction ) and 4 down ( - direction ) from O

The ordered pair ( coordinates ) of point I = (- 2, - 4 )


At a meeting attended by 23people, the females were 7 more than the males. How many males were there?​

Answers

Answer:

8

Step-by-step explanation:

x+x+7=23

2x=16

x=8

There were 8 males in the meeting.

How many males were there?

Let us assume,

The number of males = x

Number of females = 7+x

Total people = 23

x + x+ 7= 23

2x + 7 =23

2x = 23 - 7

2x = 16

x= 8

There were 8 males in the meeting.

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Find the value for x

Answers

43= 2x-7 43+7=50 50/2=25 X=25

what is the value of (-5+5i)+ (4-4i)?

Answers

Answer:

Step-by-step explanation:

(-5+5i)+(4-4i)

=-5+5i+4-4i

=-1+i

Answer:
-1+I

1+Step-by-step explanation:

What is the measure of ∠R to the nearest degree?

31°

53°

58°

80°

Answers

Answer:

80 i took the test

Step-by-step explanation:

becuause

Answer: the real answer is 53

Step-by-step explanation:

I choose 80 and got it incorrect

good morning all
i m hving exam today
i need your all support

Answers

Answer:

Good luck I will support you also

If a = 8 and an = an 1 + 2 then find the value of a4.

Answers

Answer and Step-by-step explanation:

The answer is 32.

When 8 is plugged in for a, we would have to multiply 4 by 8.

When doing so, we get the answer to be 32.

#teamtrees #PAW (Plant And Water)

A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?

Answers

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line

Answer:

The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.

Step-by-step explanation:

I have the same exact question and I also do acellus.

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