pls try itt brainliiestttt

Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2                                                                                                     -------------------------------------------------------------------------------

You were a big help on another question, so i am here to return the favor! <33

:o)

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

7 knights × x hours = 1 knight × 24 hours

x hours = 1 knight × 24 hours/ 7 knights

x hours = 3.4285714286 hours

Approximately = 3.43 hours

Therefore, each knight would spend 3.43 hours on guard duty in one day

Answer:

x = ±2[tex]\sqrt[]{2}[/tex]-2

Step-by-step explanation:

x^2+4x-4=0

x^2+4x=4

x^2+4x+4=4+4

(x+2)^2=8

x = ±2[tex]\sqrt[]{2}[/tex]-2

Answer:

Slope = 3

Y intercept = 1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept.

So in your question

-3x+y=1

add 3x to each side to get

y = 3x+1

3 is m

1 is b

so the slope is 3

the y intecept is 1

Answer:

1.5 x 6 = 9

Step-by-step explanation:

9/6 because 6 t's and then we get 1.5 and so we multiply that by 6 and get 9

Answer:

B. -30

Step-by-step explanation:

[tex]x = -20\cdot \frac{3}{2} = -30[/tex]

Answer:

15 heads out of 30

Step-by-step explanation:

The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore,  230  is the total number of different sequences for 30 coin flips.

We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or  (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.

Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):

(3015)230=1551175201073741824≈0.1445≈14.45%

15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.

If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\[/tex]

You flip a coin 30 times then the expected value will be

The probability of getting tails is 0.5 then the expected value will be

[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer: if ur looking 4 the surface area, then its 216 cm2.

Step-by-step explanation:

a= 1/2 b h

a= 1/2 (6) (4)

a= 12

12x2=24

a=lw

a= 12(5)

a= 60

60x2= 120

a=lw

a= 6(12)

a= 72

24+72+120= 216

Answer: Im going to say C

Step-by-step explanation: Because the lines both look the same they could be even.

Answer:

108 cubic units

Step-by-step explanation:

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Volume of a rectangular prism XYZ = Length × Width × Height

= 2 unit × 9 unit × 6 unit

= 108 cubic units

Answer:

30

Step-by-step explanation:

12×5=60 60÷1/2=30

srry if I was wrong

12×5=60 60÷1/2=30 i hope it's right!! :)

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

To the nearest inch it'll be

d×3.14=63

= 20 inches

Answer:

Step-by-step explanation:

let width=x

length=x+7

x(x+7)=30

x²+7x-30=0

x²+10x-3x-30=0

x(x+10)-3(x+10)=0

(x+10)(x-3)=0

either x=-10 (rejected being negative)

or x=3

width=3 cm

length=3+7=10 cm

Perimeter=2(10+3)=2×13=26 cm

The two angles are vertical angles so they are congruent.

3x+18=5x

2x=18

x=9

Answer: your anawer is D

Step-by-step explanation:

Answer:11808

Step-by-step: so start by putting the 328 on top of 36 then after multiple 6 by 8 2 and 3 then bring down the answers then do a 0 then multiply 3 by 8 2 and 3 and you get 11808

Answer:

3

Step-by-step explanation:

11x4=44

3x4=12

hope this helps :)

Answer:

it would be B.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

a.

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

b.

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

Answer: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

Answer:

This is 0.002 but I think you mean

36 divided by 1/12=

3

I don't think its possible to do this... you have to have 2 equations

The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Learn more about slope-intercept form on:

https://brainly.com/question/4074386

Answer:

Step-by-step explanation:

First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.

We then have 3x + 12 = 3x + 12, or 12 = 12.  This is always true; the given equation has an infinite number of solutions.

Answer:

B) (x-3)^2=21

Step-by-step explanation:

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Answer:

A. All four sides must be congruent.

Step-by-step explanation:

A quadrilateral has four sides. A rhombus has four equal sides, which are congruent. The angles can be different. It doesn't have four lines of symmetry. One triangles sums to 180 degrees not 4. 4 triangles would sum up to 720 degrees