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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

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

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.

Answer:

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

Step-by-step explanation:

On y-axis symmetry有手就行

Answer:

-90%

Step-by-step explanation:

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

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

Answer:

0

Step-by-step explanation:

srry if it's wrong :/

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

Answer:

500/4=125

Step-by-step explanation:

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

Answer:

9 ft

Step-by-step explanation:

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:

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:

Answer:

c is the correct answer i my guest

Answer:

111  1/3 feet tall

Step-by-step explanation:

Answer:

2/-3

Step-by-step explanation:

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

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 :))

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°

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

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

Answer:

opposite of love is hate

hope this answer will help you

Answer:

Hate is opposite of love

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 :)

Answer:

x = 4

Step-by-step explanation:

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

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

x = 4

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.

Answer:

distance

Step-by-step explanation:

Step-by-step explanation:

The key to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two numbers as long as we subtract the smaller number from the larger.

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! :)

Answer:

c. y=2x+6

Step-by-step explanation:

In slope intercept for (y=mx+b) m is the slope and b is the y-intercept.

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!