What is the greatest common factor of the terms in the polynomial 4x-32x-60x?
4
4x
4x2
O 4r3

Answer:

there can be 12 identical packages at most. each package will contain:

- 2 coloring books

- 5 crayons

- 7 markers

Step-by-step explanation:

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:

x = 4

Step-by-step explanation:

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

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

x = 4

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:

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:

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:

[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

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

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:

x^2 -2x -15

Step-by-step explanation:

by multiplying the 2 brackets

x^2

-5x + 3x = -2x

3 * -5= -15

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!

Answer:

c is the correct answer i my guest

Answer:

z + 18 or z+18

if you want i can even put it in word form.

Answer:

zjsjsjwjs1 balducci howbto

Step-by-step explanation:

hendrickson

Answer:

True

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

True

Step-by-step explanation:

People save receipts to keep track of their previous purchases and expenses.

I hope this helps

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!

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

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:

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:

1.20, 10.8

Step-by-step explanation:

d = n^2 - 12n + 43

d = 30

30 = n^2 - 12n + 43

0 = n^2 - 12n + 13

now solve for n using quadratic formula:

a=1, b=-12, c=13

n = (-b +- sqrt( b^2 -4ac))/2a

two answers ( one for + the square root, one for - the square root)

n = 1.20, n = 10.8

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:

-90%

Step-by-step explanation:

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:

Not possible

Step-by-step explanation:

These triangles are not congruent

Answer:

16 pieces

Step-by-step explanation:

Please give me brainliest

this is so emaruballos can be marked brainliest and yes the answer is 16

Answer:

Step-by-step explanation:

2 3;8

Answer:

1 7/8.

Step-by-step explanation:

5 * 3/8

= 15/8

= 1 7/8.