Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1

Answers

Answer 1

Graph of the question is missing so I have attached it

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1

Axis Of Symmetry: X = -0.5; Vertex: (-0.5, 0.75); F(x) = X2 + X + 1Axis Of Symmetry: X = -0.5; Vertex:

Related Questions

37:35-(32:24-10).2+√289=

Answers

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

3
Lauren bikes
5
4
miles in
7
hours. How long does it take her to travel one mile?

Answers

The answer is 7
Dkdoenoemwowmw

!!!!!!!!!!!!!!!!!! help

Answers

Answer:

option 1

Step-by-step explanation:

It's given in the question that

a (first term of an A.P.) = 14

d (common difference between terms of A.P.) = -3

So,

2nd term will be = a + d = 14 + (-3) = 11

3rd term = a + 2d = 14 + 2×(-3) = 8

4th term = a + 3d = 14 + 3×(-3) = 5

All these terms are matching with option 1. So, option 1 is the correct option

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the immune response of the recipients. They claim the variance in the immune response is 1.9. It is known that the immune responses follow a normal distribution. A random sample of 30 individuals were given the vaccine and their immune response recorded. It was found that they had a sample variance of 0.9. At the 5% significance level, test the hypothesis that the population variance of the immune response is equal to 1.9 against the two-sided alternative, that it is not. a. State the null and alternative hypothesis. b. Perform the hypothesis test. (You may use any of the methods we discussed that are appropriate for the problem.) c. State your decision. d. State your conclusion in full sentences.

Answers

Answer:

a

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

b

 [tex]X^2 = 13.74[/tex]

c

The decision rule is  

Reject the null hypothesis

d

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

   The variance is [tex]\sigma ^2 = 1.9[/tex]

    The sample size is  n =  30  

    The  sample variance  is  [tex]s^2 = 0.9[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

   

The  null hypothesis is [tex]H_o : \ \sigma^2 = 1.9[/tex]

The alternative hypothesis is  [tex]H_a : \ \sigma^2 \ne 1.9[/tex]  

Generally the test statistics  is mathematically represented as

          [tex]X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }[/tex]

=>       [tex]X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }[/tex]

=>       [tex]X^2 = 13.74[/tex]

Generally  from the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]

=>      [tex]df = 30 - 1[/tex]

=>      [tex]df = 29[/tex]

Generally from the chi distribution table the critical value of  [tex]\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}[/tex] at a degree of freedom  of  [tex]df = 29[/tex] is  

       [tex]X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7[/tex]

=>     [tex]X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5[/tex]

Gnerally from the values obtained we see that

         [tex]X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

what is the answer for this( 7 3 x ∛27 - 2) x 1 5 + √81

Answers

Answer:

5208

Step-by-step explanation:

(73 x ³√27 - 2) x 15 + √81

(73 x 3 - 2) x 15 + 9

(219 - 2) x 24

217 x 24

5208

PLEASE HELP ME OUT FAST MULTIPLE CHOICE IF YOU DOMT KNOW PLEASE DONT RIGHT ANYTHING!

Answers

Answer:

B

Step-by-step explanation:

When you are finding the solution of two lines on a graph, you look at the intersection point and that is the answer. On the given graph, both lines intersect at (4, -3). Thus, that is the solution.

Best of Luck!

Please answer i don't have muc time

Answers

I’m pretty sure it’s -25

8 pencils for 14 dollars

Answers

Answer:

1 pencil will be for 1.75 $

Answer:

$1.75 for each pencil.

Step-by-step explanation:

if you're asking the price for each pencil then its 1,75 for each because 8 multiplied by 1.75 is 14 :))

Please help, solve a and b

Answers

Answer:

AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.

Step-by-step explanation:

Answer:

The distance across the river d=175ft

Step-by-step explanation:

As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE

4x/7x=100/d

d=100×7/4=175

determine the coordinates ​

Answers

Answer:

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

we conclude that:

A(3, 4)  → A'(-4, -3)B(3, 2)  → B'(-2, -3)C(-1, 2)  → C'(-2, 3)

Step-by-step explanation:

We know that If a point P(x, y) is reflected over the line y = -x, the x-coordinate and y-coordinate tend to change places and the signs are reverses.

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

Thus, we conclude that:

A(3, 4)  → A'(-4, -3)B(3, 2)  → B'(-2, -3)C(-1, 2)  → C'(-2, 3)

solve the following equation-7x-4y=-4 -9x-5y=-6

Answers

Answer:

[tex]\boxed{x = 4~~and~~ y = -6}[/tex]

.

Step-by-step explanation:

-7x - 4y = -4 (times 5) -35x - 20y = -20

-9x - 5y = -6 (times 4) -36x - 20y = -24

.

Eliminate both equations

[tex]-35x - 20y = -20[/tex]

-36x - 20y = -24    

[tex]x = 4[/tex]

.

Substitute the value of x to one of equations

[tex]-7x - 4y = -4[/tex]

[tex]-7(4) - 4y = -4[/tex]

[tex]-28 - 4y = -4[/tex]

[tex]-4y = - 4 + 28[/tex]

[tex]-4y = 24[/tex]

[tex]y = \frac{24}{-4}[/tex]

[tex]y = -6[/tex]

Step-by-step explanation:

ib2j2nwj wjwjw wjw w wiw w akwbysks soshsiw sksns sks sos sisIyah lah s ais ssj sj

if 2500 is invested for 4 years and 500 is earned in simple interest, then the yearly interest rate is?

Answers

Answer:

500/4=125

Step-by-step explanation:

Have a nice Day , I would appreciate it if you could mark my answer brainliest

please help me step by step ​

Answers

Answer:

should be just be like doubling everytime

Step-by-step explanation:

6 water and 4 powder

12 water 8 powder

18 water 12 powder

it's the same ratio so it should taste the same, like 3 water and 2 powder is going to taste the same as 18 water and 12 powder

A school is selling t-shirts and hoodies to raise money. Cara bought a t-shirt and 2 hoodies for $60. Jack bought 3 t-shirts and one hoodie for $60. How much is one t-shirt and one hoodie?

Answers

One t-shirt is 12$ and one hoodie is 24$

ILL GIVE BRAINLEST ​

Answers

Answer:

the 4th one

Step-by-step explanation:

Answer:

147/2

Step-by-step explanation:

Hi! y=k/x

y=21/4 and x=14 so k=147/2

Please mark brainliest and let me know if you have any more questions!

An elm tree is 3 and 1/2 times as tall as an apple tree . The apple tree is 10 and 2/3 feet tall how tall is the elm tree

Answers

Answer:

111  1/3 feet tall

Step-by-step explanation:

A plastic board that is 15 feet long is leaning against a wall
perpendicular to the ground. The point at which the wooden
board touches the wall is 12 feet above the ground. How far
away is the base of the board from the bottom of the wall?
feet

Answers

Answer:

9 ft

Step-by-step explanation:

a²+b²=c²a²+12²=15²a²+144=225225-144=81√81=9

Please help me slove this problem
-6x + 4 = -20

Answers

Answer:

x = 4

Step-by-step explanation:

-6x + 4 = -20, Subtract 4 on both sides

-6x = -24, Divide -6 on both sides

x = 4

I need help please I have to finish this

Answers

Answer:

x = 80 degrees

y = 25 degrees

Step-by-step explanation:

First find angle BCA.

We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.

Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.

50+50+ x = 180 degrees

x= 180 - 100 = 80 degrees

Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.

So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.

please give thanks by clicking the heart button :)

Which is the correct answer?​

Answers

Answer:

I think it is B

Step-by-step explanation:

I cannot be sure about it though as I am just started learning about it at school myself. Plus, I can't read the writing that well 'cause I think the screen is slightly sideways. Hope this helps! :)

Help me with this I need help

Answers

23.3
Can I get a brainlist

3. (03.01 LC) The domain of the following relation: R: {(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)} is (1 point) {8, 10, 4, 6, -9) {-4, 1, 5, 8) O {-4, 8, 5, 1, 5} No domain exists​

Answers

Answer:

{-4, 1, 5, 8}

Step-by-step explanation:

The domain of a relation are all of the inputs (or x-values) of it.

Identify the x-values shown.

{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}

{-4, 1, 5, 8} is the domain of the relation.

Hope this helps.

If ABCD is a rectangle, find the measure of angle ABD.

Answers

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

The measure of angle ABD is 31°

What are alternate interior angles?

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

Given;

Angle CDB= 31°

Now

Angle ABD= Angle CDB (alternate interior angles)

Angle ABD= 31°

Therefore, angle ABD will be 31°

Learn more about angles;

https://brainly.com/question/7116550

#SPJ5

Suppose ALI was told that relative to the other scores on a NTS test, his score was the 95th percentile i.e., his percentile score is 95. How do we interpret it?

Answers

We do a percentage 95% would be his score

HELP ME PLZ

A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65

Answers

Answer:

c is the correct answer i my guest

c is the answer to the question

The coordínates of point A in a cordinate grid are -2,-3point A is reflectes Across the Y axis to obstinada point B and across the X a is tonobtain point C

Answers

Answer:

B(2,3),C(2,-3)

Step-by-step explanation:

On y-axis symmetry有手就行

what is the opposite of love​

Answers

Answer:

opposite of love is hate

hope this answer will help you

Answer:

Hate is opposite of love

What’s 3/8 OF 5 as a mixed number

Answers

Answer:

Step-by-step explanation:

2 3;8

Answer:

1 7/8.

Step-by-step explanation:

5 * 3/8

= 15/8

= 1 7/8.

what is the percent of change from 300,000 to 30,000 its 90​

Answers

Answer:

-90%

Step-by-step explanation:

Find the slope of the line that passes through the two points given.
(-3, 1) and (-1,5)

Answers

Answer:

2/-3

Step-by-step explanation:

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