factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)​

Answer:

c

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Answer:

the second one

Step-by-step explanation:

Answer:

6a³ + 4b²

Step-by-step explanation:

2a × a × 3a = 2 × 3 × a × a × a = 6a³

b × 4b = 4b²

putting these together gives 6a³ + 4b²

Hello!

Let's multiply the terms together.

First, let's multiply the a's.

[tex]\bold{2a*a*3a}[/tex]

[tex]\bold{2a^2*3a}[/tex]

[tex]\bold{6a^3}[/tex]

Step-by-step calculations:

2*3=6

a*a*a=a³

6*a³=6a³

Same with the b's:

[tex]\bold{4b^2}[/tex]

Calculations:

b*4b

b=1b

1*4

b*b

4b²

[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{\bf{6a^3~+4b^2}}}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper}[/tex]

Answer:4x(6x+5)

Step-by-step explanation:

I think that's what it is.

Answer:

x= 6 and y=5. i think

Step-by-step explanation:

because the height is at the number 5 and the arrow. same goes for the x

this is for the picture

Expand the mass of each:

Freight train: 9.98 x 10^6 = 9,980,000 kg

Aircraft carrier: 7.3x10^7 = 73,000,000 kg

Now subtract:

73,000,000 - 9,980,000 = 63,020,000 kg

Convert to scientific notation: 6.302 x 10^7 kg

Answer:

LINEAR

Step-by-step explanation:

y depends on x.  x is considered to be the independent variable.

the relationship is LINEAR

Answer:

Step-by-step explanation:

To help you solve

Use the fact that (height of flagpole)/(length of shadow) = tan(angle of elevation).

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

15 - 3 + 10 × 5 ÷ 5 = ? Hence, 48 is the correct answer.

By inserting codes and then using BODMAS Rule:

15 × 3 - 10 ÷ 5 + 5

15 x 3 = 45. Now 10 divided by 5 is 2 and keep the other 5 so:

= 45 - 2 + 5 = 48

I HOPE THIS HELPED YOU.

You are playing a math game, right?

Well anyways, I will solve this for you!!

Let's see the symbols clearly then we will solve

Now, Substitute the symbols in the original expression

Original expression:

[tex] \sf \: 15 - 3 + 10 \times 5 \div 5[/tex]

New expression:

[tex] \tt \: 15 \times 3 - 10 \div 5 + 5[/tex]

[tex] \bf \: 15 \times 3 - 2 + 5[/tex]

[tex] \bf \: 45 - 2 + 5[/tex]

[tex] \bf \underline{ \underline {48}}[/tex]

Answer:

10,000

Step-by-step explanation:

I think it is the right answer

Answer:

60,000

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

step 1: calculate area of rectangle

Area = l × b

= 10× 15

= 150

step 2: calculate area of half a circle

Area = 1/2 (π.r²)

= 1/2 (22/7 × 5²)

=157/4

step 3: Add the area of rectangle and half a circle together

Area = 157/4 + 150

= 189.26

rounded off to the nearest whole = 189

Answer:

$0.48 or 48 cents

Step-by-step explanation:

12 ears of corn = $5.76

1 ears of corn = $5.76 ÷ 12 = $0.48

Answer:

x>1

Step-by-step explanation:

In order to do this, we can take the inequality:

3+2x>5

now there are constants on both sides meaning we can combine them like the following:

3+2x>5

-3      -3

------------

2x>2

Now we can simplify

2x/2>2/2

therefore, the answer is x>1

In order to graph this on a line you would need to put in a circle which is not filled in because x isn't equal to and greater than 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.

You would put this line to the right of 1

o----------->

1 2 3 4 5 6

that is how the line would look like

Answer:

564 patrons.

Step-by-step explanation:

20,304/36 = 564

A partir de las informaciones de la pregunta, se encontró que el lado del primer cuadrado es igual a 7 cm.

The square is a quadrilateral that has all sides (x) equals and angles equal to 90°. The perimeter of a square is equal to the sum of sides, so, p=x+x+x+x=4x.  And the area of square formula is A=x².

Therefor, the AREA 1= x².

From problem data, you can write the area 2.

                   AREA 2 =(x+3)*(x+3)=x²+51, then

                                    x²+3x+3x+9=x²+51

                                    6x=51-9

                                    6x=42

                                    x=7

Learn more about area of square here:

https://brainly.com/question/11239678

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

Step-by-step explanation:

I asked my teacher and she said it was correct.

Answer:

73461.53 Cents

Step-by-step explanation:

There are 52 weeks/yr

1k = 100,000 cents

Salary/week:

[tex] \frac{38.2}{52} \times 100000[/tex]

= 0.7346153 x 100000

Salary/Week = 73461.53 Cents

Answer:

The parking lot is 25 feet long and 22 feet wide

Step-by-step explanation:

Let's say the rectangle is [tex]x[/tex] feet long. It means it has to be [tex]x+3[/tex] feet wide.

Knowing it's area we can write an equation for the unknown:

[tex]x(x+3) = 550\\x^2+3x-550 = 0\\x= \frac12(-3\pm\sqrt{2209})\\x_1=-25: x_2=22[/tex]

Since we're talking about measures of length, the negative answer is obviously not interesting, so we're left with [tex]x=22[/tex]

Answer:

11.5 meters

Step-by-step explanation:

Since we know the perimeter of a hexagon, and we know in a hexagon there are 6 equal sides, then we can find the length of each side.

P = 6*x, where P is the perimeter and 6 is the total amount of sides and x is the length of each side. Plug in 69 for P and solve your equation.

69 = 6x

Divide by 6 on both sides to isolate x

11.5 = x

Hope this helps

Answer:

Each side is 11.5 m

Step-by-step explanation:

A hexagon is a 6 sided figure

The  figures has sides that are all the same length

P = 6s where s is the side length

69 = 6s

Divide each side by 6

69/6 = 6s/6

11.5 =s

Each side is 11.5 m

[tex]\\ \rm\rightarrowtail 36h=1080[/tex]

[tex]\\ \rm\rightarrowtail h=1080/36[/tex]

[tex]\\ \rm\rightarrowtail h=30cm[/tex]

we know that,

CSA of a Triangular prism

1080cm²⇢12+12+12 x height

1080cm²⇢36cm x height

height⇢ 1080cm²/ 36cm

height ⇢ 30cm

Hence ,the height of the given triangular prism would be 30cm

Answer:

WY = 180

Step-by-step explanation:

the diagonals of an isosceles trapezoid are congruent , so

ZX = WY , that is

8y - 4 = 7y + 19 ( subtract 7y from both sides )

y - 4 = 19 ( add 4 to both sides )

y = 23

Then

WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180

Answer:

The answer is 6.72

Step-by-step explanation:

Here, if we double the amount of grapes and money we get,

2 (500) = 1000g

2 (2.8) = 5.6

So, for 1000 g it costs 5.6

and for 100 g it costs 0.56

We need to find the cost 1.2 kg of grapes

So,

5.6 + 0.56 + 0.56 = 6.72

Thus, The cost of 1.2 kg of grapes is 6.72

-TheUnknownScientist 72

Answer:

6.72

Step-by-step explanation:

Cost of 500 grams = 2.8

Cost of 1 gram = 2.8/500 = 0.0056

Cost of 1.2 kg = ?

1.2 kg = 1,200 g

Cost of 1.2 kg:

= 0.0056 × 1,200

= 6.72

________

Hope it helps ⚜

Answer:

a = 3, b = 8

Step-by-step explanation:

Since x+3 is a factor, x=-3 is a root. =>  f(−3)=2(−3)3+a(−3)2−b(−3)+3=0

=>  9a+3b=51   =>  3a+b=17 — (1)

x-2 leaves a reminder of 15 =>  f(2)=2(2)3+a(2)2−b(2)+3=15

=>4a−2b=−4=>2a−b=−2 —- (2)

Adding (1) & (2),  5a=15=>a=3

Substituting the value of a in (1),  b=8

15 inches.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

y2 - x1 / x2 - x1

10 - (-2) / 6 - 4

10 + 2 / 2

12 / 2

6

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

PEMDAS

P: PARENTHESES

E: EXPONENT

M: MULTIPLICATION

D: DIVISION

A: ADD

S: SUBTRACT

3X4 15

12÷5= 2.5

ANSWER:2.5