factorise:

a) 2y^3-4y^2-2y+4
b) 2x^2+7x+3

Answer:

x= 37/12

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Sq rt. (0-1)^2+(3- -5)^2

(1)^2+(8)^2

1+64=65

Step-by-step explanation:

B) square root of 65

.................

Answer:

b=-9 that the right answer

Answer:

4800m³

Step-by-step explanation:

V=[tex]\frac{lwh}{3}[/tex]=[tex]\frac{(30)(24)(20)}{3}[/tex] =4800

Answer: 2 kilometers.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle, the longest side  (in this case the distance between  the courthouse and the city pool) and a and b are the other sides.

Replacing with the values given:

4.4^2 = 3.9^2 + b^2

19.36 = 15.21+b^2

19.36-15.21 = b^2

4.15 = b^2

√4.15 = b

b=2 km

Feel free to ask for more if needed or if you did not understand something.

Answer:

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

Step-by-step explanation:

Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:

Watersports:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

System:

[tex]\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.[/tex]

We can isolate "x" on the first equation:

[tex]x = \frac{780 - 9*y}{12}[/tex]

And use it on the second:

[tex]7*[\frac{780 - 9*y}{12}] + 11*y = 570\\5460 -63*y = 6840 - 132*y\\132*y - 63*y = 6840 - 5460\\69*y = 1380\\y = 20\\[/tex]

We can now use this value to find "x":

[tex]x = \frac{780 - 9*20}{12} = 50[/tex]

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

Answer:

10 miles

Step-by-step explanation:

∠1 = 70° and ∠3 = 40°.  Angles of a triangle add up to 180°, so ∠2 = 70°.

Using law of sines:

10 / sin(∠2) = x / sin(∠1)

10 / sin(70°) = x / sin(70°)

x = 10

Answer:

The probability that the socks picked is not blue is 11/14

Step-by-step explanation:

In this question, we are to calculate that a socks selected from random from the group of socks given in the question is not a blue socks.

This means the socks would either be a black or a white socks

Firstly, we find the total number of socks = 8 + 6 + 14 = 28 socks

Now the probability of picking a blue socks will be 6/28 = 3/14

We must understand that the probability of not picking a blue socks = 1 - the probability of picking a blue socks

Thus, the probability of not picking a blue socks will be 1 - 3/14 = 11/14

Answer:

The probability that a sock chosen at random is not blue P = 11/14 = 0.786

Step-by-step explanation:

Probability is the chances of getting a particular outcome.

Given:

Black socks = 8

Blue socks = 6

White socks = 14

Total = 8+6+14 =28

The probability that a sock chosen at random is not blue P;

P = number of non-blue socks ÷ total number of socks

Number of non blue socks = black + white socks = 8+14 = 22

Substituting the values;

P = 22/28 = 11/14

P = 11/14 = 0.786

Answer:

D = 2.75 cm

Step-by-step explanation:

D = C÷ π

D = 8.65 ÷ 3.14

D = 2.754

D = 2.75 cm

Answer:

d = 2.75 cm

Step-by-step explanation:

C = 2π·r } => C = dπ => d = C/π

2r = d

d = 8.65cm/3.14 ≈ 2.75 cm

Answer:

a) The modal class for this case represent the class with the highest frequency

And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8

b) [tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]

Step-by-step explanation:

Part a

The modal class for this case represent the class with the highest frequency

And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8

Part b

For this case we need to find the mid point of each interval:

Interval   Midpoint  Frequency

18-20          19                 3

20-22         21                 2

22-24         23                 7

24-26         25                 8

And we can find the sample mean with this formula:

[tex] \bar X = \frac{\sum_{i=1}^n f_i x_i}{n}[/tex]

And replacing we got:

[tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]

The class with the highest frequency  represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency of 8 and an estimate of the mean age of these employees is 23.

Given :

The table shows the age, in years, of employees in a company.

A) The class with the highest frequency  represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency 8.

B) To estimate the mean age of these employees, first, determine the midpoint.

Age              Frequency              Midpoint

18-20                    3                             19

20-22                   2                             21

22-24                    7                             23

24-26                    8                             25

The formula of the sample mean is given by:

[tex]\rm \bar{X} =\dfrac{\sum^{n}_{i=1}f_ix_i}{n}[/tex]

[tex]\rm \bar{X} = \dfrac{19\times 3+21\times 2 +23\times 7+25\times 8}{3+2+7+8}[/tex]

[tex]\rm \bar{X} = 23[/tex]

For more information, refer to the link given below:

https://brainly.com/question/20747890

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.

Answer:

54

Step-by-step explanation:

Answer: £165.41

Step-by-step explanation:

Price of bike when purchased in 2010 = £300

Depreciation rate yearly = 18%

Value of bike in 2011

Purchased price - depreciation value

= £300 - £300 * 0.18

= £300 - £54

= £246

Value of bike in 2012

= 2011 Price - depreciation value

= £246 - £246 * 0.18

= £246 - £44.28

= £201.72

Value of Bike in 2013

= price of 2012 - depreciation value

= £201.72 - £201.72 * 0.18

= £201.72 - £36.31

= £165.41

Price in 2014 would be £165.41

Answer:

a-5 and b-2 5+2=7 and 5*2=10

Step-by-step explanation:

a+b=7 and ab=10

Answer:

they're all in the same grade

Answer:

x = - 2, x = - 1

Step-by-step explanation:

Given

f(x) = x² + 3x + 2

To find the zeros let f(x) = 0, that is

x² + 3x + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 2 and + 1, since

2 × 1 = 2 and 2 + 1 = 3, thus

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1

Answer:

Real Zeros: -1, -2

Step-by-step explanation:

[tex]x^{2} +3x+2=0\\[/tex]

Plug into quadratic equation formula:

[tex]\frac{-3+\sqrt{3^{2}-4ac} }{2(1)}= -1 \\\frac{-3-\sqrt{3^{2}-4ac} }{2(1)}= -2[/tex]

Hope this helped!

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem since we know the legs

a^2+b^2 = c^2

12.75 ^2 + 17^2 = c^2

162.5625+289= c^2

451.5625 = c^2

Take the square root of each side

sqrt(451.5625) =sqrt( c^2)

21.25 = c

Answer: the answer will be 21.25

Step-by-step explanation:

hope it help you..if it help then plz mark as brainliest

Answer:

75 between E and B.........

Answer:

4

Step-by-step explanation:

2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9

Answer:

9:16

Step-by-step explanation:

3^2:4^2=9:16

I hope this helped and have a good rest of your day!

Answer:

65mm

Step-by-step explanation:

From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.

Answer:

3/8^4*38

Step-by-step explanation:

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

Answer:

[tex] x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} [/tex]

Answer:

the probability is 1/80

Step-by-step explanation:

Readmore at : https://brainly.com/question/3325543

Answer:

the probability is 1/80

Step-by-step explanation:

Please give brainliest

Answer: I think u have to multiply all da numbers.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

You would need to subtract when:

Step-by-step explanation:

If there is a negative number like 4 -5

If there is a parentheses,

A subtraction sign.

Hope this helps you.

Step-by-step explanation:

3x-5+23x-9

26x-5-9=26x-14

2(13x-7)

Answer :

C

Step-by-step explanation:

3x – 5 + 23x – 9 = 26x - 14

2 . 13x = 26x

2. -7 = -14

2 ( 13x -7) so answer is C

or another way :

a. 2(14x -6)  = 28x - 12

b. 3x(13x-6)  = 39x² - 18x

c. 2(13x -7)  = 26x - 14

d. 3x(13x - 5) = 39x² -15x

so answer is C

Hope this helps ^-^

Answer:

8m+3

Step-by-step explanation:

Let m be the number of lemon used in a pitcher of lemonade.

Serena sold 8 pitchers of lemonade, therefore she used 8m lemons.

Since there is a leftover of 3 lemons, we add:8m+3

Therefore:

Total number of lemons Serena has can be determined by the expression: 8m+3

where m is the number of lemons used in one pitcher of lemonade.