Use the Desmos graph and equation to get the answer to the vertex, axis of symmetry (x=), x intercepts, and the y intercept

2
f(x)=x -10x+21

Use The Desmos Graph And Equation To Get The Answer To The Vertex, Axis Of Symmetry (x=), X Intercepts,

Answers

Answer 1

Answer:

Vertex: (5,-4)

Axis of symmetry: x=5

X-intercepts: (3,0) and (7,0)

Y-intercept: (0,21)

Step-by-step explanation:

The vertex would be the tip of the parabola, so the vertex is (5,-4)

The axis of symmetry would be a line cutting a parabola in half indicated by the line x=5

X-intercepts are where a function passes through the x-axis or when y=0, so in this case, the x-intercepts are (3,0) and (7,0)

The y-intercept of a function is where a function passes through the y-axis or when x=0, so our y-intercept is f(0)=0²-10(0)+21=21, or (0,21)


Related Questions

Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
4 in.
4 in.
4 in.

Answers

Answer:

volume of cube = side³

volume of cube =(4in)³

volume of cube =64 in³

Identify if the question is
statistical or non statistical.
"Do leopards weigh
more than cheetahs?"
non statistical or statistical

Answers

statistical because you would need to know what cheetahs weigh. same goes for leopards though.

Answer:

statistical!!

Step-by-step explanation:

La natalidad hace que la población aumenta o disminuya??

Answers

Step-by-step explanation:

la natalidad hace que la poblacion aumente

Answer the question above

Answers

Answer:

MJ

Step-by-step explanation:

shxjsowibxkaowwkql

****NOTE YOU WOULD GET 40 points if you answer ****

Answers

Answer:

25%

Step-by-step explanation:

given g(x)=-x-3, solve for x when g (x) =6

Answers

Answer:

x = - 9

Step-by-step explanation:

Given g(x) = - x - 3 and g(x) = 6, then equate, that is

- x - 3 = 6 ( add 3 to both sides )

- x = 9 ( multiply both sides by - 1 )

x = - 9

Answer:

-9

Step-by-step explanation:

g(-6) = -6 - 3

g(-6) = -9

CAN SOMEONE PLEASE HELP ME NOW PLEASE HURRY

Answers

Answer:

your answer is C

Step-by-step explanation:

took the test

It costs $35 to join a gym. The monthly fee is $25. Write and graph an equation in two variables that represents the total cost of a gym membership. Let m represent the number of months and c represent the total cost of the gym membership.

An equation in two variables that represents the total cost of a gym membership is c=
.

Answers

Answer:

c= 35+25m

Step-by-step explanation:

The $35 is a one time payment and the 25 dollars is each month!

Hope this helps!

does anybody know the answer?

Answers

they’re parallel it’s the option your mouse is on in the picture.

Answer:

Option B:

Step-by-step explanation:

As,

It has shown that line d cuts line b by making 90° so those lines are called perpendicular bisectors

Hence,

Option B is the correct symbol shown for perpendicular bisector of line d to line B.

Evaluate the algebraic expression 25/r-4 if r=9

Answers

Step-by-step explanation:

25 / 9 -4 = 25 / 5 = 5

5 is the solution

Answer:

5

Step-by-step explanation:

[tex]\frac{25}{r-4} = \frac{25}{9-4} =\frac{25}{5}= 5[/tex]

replace r with 9

PLEASE HELP!!!
ITS DUE TODAY

Answers

Answer:

8. 7.2

9. 6.7

Step-by-step explanation:

What is the solution to the following equation? (4 points)

2(3x − 7) + 18 = 22

a
1

b
3

c
5

d
6

Answers

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Best answer gets a brainliest

Match the following items. In the figure below, several reflections are illustrated. Note one line of symmetry is m and one is l. Pay close attention to the line of reflection being indicated by R l and R m.

Answers

Answer:

see the photo below

If the probability of Megan drawing a flat stone from a bag is and she draws 1 stone at a
time and replaces it, how many times would you expect Megan to get a flat stone if she
tries 306 times?
a. 34
b. 45
C. 53
d. 66

Answers

You forgot to include the probability percentage so we can’t answer the question.

In a​ survey, 250 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.
Cards Chosen Number 1 2 3 4 5
Frequency 40 70 80 20 40

The theoretical probability of choosing a card with the number 1 is nothing​%. The experimental probability of choosing a card with the number 1 is nothing​%. The theoretical probability is ▼ less than equal to greater than the experimental probability. ​

Answers

Answer:

20%, 16%, greater than

Step-by-step explanation:

1/5*100= 20% 250*20%=50 times 1 is picked up.

Ex. Probability: 40/250*100= 16%

Hopes this makes sense!

Answer: Your welcome!

Step-by-step explanation:

The theoretical probability of choosing a card with the number 1 is 20%. The experimental probability of choosing a card with the number 1 is 16%. The theoretical probability is greater than the experimental probability. This is because the theoretical probability is based on the assumption that each card has an equal chance of being chosen, while the experimental probability is based on the actual results of the survey, which showed that 16% of the people chose a card with the number 1.

2c + -2 = -6
what isthe answer

Answers

2c + -2 = -6
-(-2) -(-2)
————————
2c = -4
————
2

C = -2

How do you multiply 80 to get 55

Answers

You have to divide 55 by 80 which = .6875

x+1/x-1-x-1/x+1=7/12​

Answers

Given:

The equation is:

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

To find:

The value of x.

Solution:

Formulae used:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](a-b)(a+b)=a^2-b^2[/tex]

We have,

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

Taking LCM, we get

[tex]\dfrac{(x+1)^2-(x^2-1)^2}{(x-1)(x+1)}=\dfrac{7}{12}[/tex]

[tex]\dfrac{x^2+2x+1-(x^2-2x+1)}{x^2-1^2}=\dfrac{7}{12}[/tex]

On cross multiplication, we get

[tex]12(x^2+2x+1-x^2+2x-1)=7(x^2-1)[/tex]

[tex]12(4x)=7x^2-7[/tex]

[tex]48x=7x^2-7[/tex]

[tex]0=7x^2-48x-7[/tex]

Splitting the middle term, we get

[tex]7x^2-49x+x-7=0[/tex]

[tex]7x(x-7)+1(x-7)=0[/tex]

[tex](7x+1)(x-7)=0[/tex]

[tex]x=-\dfrac{1}{7},7[/tex]

Therefore, the values of x are [tex]-\dfrac{1}{7}[/tex] and [tex]7[/tex].

The area of a square garage door is 9 square yards. How long is each side of the garage door?

Answers

Answer: 2.25

2.25 x 4 = 9, and a square has 4 sides, so 2.25 is your answer ! : )

Which set of ordered pairs is not a direct variation?

{(2,6), (8,12), (14,18)}
{(6,6), (12,12), (18,18)}
{(3,6), (6,12), (9,18)}
{(2,6), (4,12), (6,18)}

Answers

Answer:

The first option is not a direct variation

Step-by-step explanation:

When we talk of a direct variation, as one value increases, the other value increases too

Or as one value decreases, the other value decreases

A direct variation is of the form;

y = kx

k = y/x

where k is the coefficient of variation that must be a constant value all through the set of values

The values we are comparing here are the x and y values

So

let us take a look at the options;

The first option is not a direct variation

For the first option, the rate of increase is not constant;

2/6 = 1/3 , 8/12 = 2/3 , 14/18 = 7/9

for the second;

the ratio is 1 to 1

for the third;

3/6 = 1/2 ; 6/12 = 1/2; 9/18 = 1/2

for the fourth;

2/6 = 1/3, 4/12 = 1/3 , 6/18 = 1/3

A multiple of 18 that is also a square numbers​

Answers

18x18 is 324 i hope this help

Tom's property has a shape of a parallelogram with the dimensions of l= x +75 and w= x + 45. If the perimeter is 300 feet, what is the value of x

Answers

Answer:

15 feets

Step-by-step explanation:

The perimeter of a parallelogram is given as :

P = 2(l + w)

l and w are the bases :

Substituting the values into the equation :

P = 2(x + 75 + x + 45)

P = 2(2x + 120)

P = 300

Hence ;

300 = 4x + 240

300 - 240 = 4x

60 = 4x

Divide both sides by 4 to isolate x

60 /4 = 4x / 4

15 = x

x = 15 feets

Trechelle is buying a sports coat that has a regular price of $90. This coat is on sale with a 20% discount. She knows she needs to pay 8\%8% sales tax on the discounted price. Trechelle thinks to herself 20\%-8\%=12\%20%−8%=12%. She now believes this means she is really only getting a 12% discount, and 12% of $90 is $10.80. She works out the sports coat will cost her $79.20$. Is Trechelle’s reasoning correct or will the sports coat actually cost a different amount?

Answers

Answer:

Trechelle's reasoning is incorrect.

Step-by-step explanation:

the cost is $88.2. hope it helps bye.

The equation 230 = d – 240 describes the distance in miles between Pensacola and Tampa. If d is the distance between the two cities, how many miles apart are Pensacola and Tampa?

Answers

Answer:

hi

Step-by-step explanation:

470. 230= d-240. Add 240 to both sides so it becomes 230+240= d. 230+240= 470 so the distance is 470 miles

Use the distributive property to multiply, combine like terms & find the equations
34(x + 5) - 2(x+5)

Answers

Answer:

32+160

Step-by-step explanation:

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

What is the area of the shaded region?

Answers

Answer:

The Area of the Shaded Region: C. (25π – 24) cm^2

Step-by-step explanation:

Just took the Unit Test on Edg (2020-2021)!!

how to write 0.00007 in scientific notation

Answers

Answer:

As 7.0 is the same as seven, 0.00007 written in scientific notation is seven multiplied by 10 to the power of negative five.

Step-by-step explanation:

Answer:7x10 ^-5

Step-by-step explanation:

PLEASE HELP!! GIVING 20 PTS!!

Answers

Answer:

1. a translation of (-1,3)

2. a reflection across a line through points  (0,4) and (3,4)

Identify CD.

Here is link to photo: https://thinkwell.cachefly.net/questionbank/95001-96000/95286/img/95286a.svg

Answers

What????????????????????

There are 95 seats on a train. 76 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer

80%.............

Step-by-step explanation:

76/90 is .8 which is 80%

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