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2 years ago

Factorise 6-12x please help me

Mathematics

1 answer:

disa [49]2 years ago

8 0

Answer:

The factorized form of the function is 6 (1 - 2x)

Step-by-step explanation:

Given function;

6 - 12x

This function can be factorized as follows by using common factor of 6 and 12, which is 6;

6 - 12x = 6 (1 - 2x)

Thus, the factorized form of the function is 6 (1 - 2x)

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If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.

Readme [11.4K]

Answer:

b = $22.62^{o}$

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = $\frac{opposite}{hypotenuse}$

Sin b = $\frac{20}{52}$

= $\frac{20}{52}$

= 0.38462

⇒ b = $Sin^{-1}$ 0.38462

= 22.6202

b = $22.62^{o}$

The measure of angle E (= b) is $22.62^{o}$ .

7 0

2 years ago

Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.

umka21 [38]

Given:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= $\frac{4.4}{2}$

= $1.1$ (%)

Time will be:

= $20\times 2$

= $40 \ periods$

As we know the formula,

⇒ $Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}$

By substituting the values, we get

$8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}$

$8375=\frac{Face \ value}{(1.022)^{40}}$

$8375=\frac{Face \ value}{2.3880083}$

The face value will be:

$Face \ value = 2.3880083\times 8375$

$=20,000$ ($)

Learn more about face value here:

brainly.com/question/14862802

5 0

2 years ago

Case bought a 10 week old pig that weighed 30 kg. At 18 weeks the pig weighed 80 kg. The equation (18 − 10)w + 30 = 80 can be us

drek231 [11]

Answer:25/4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them

MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

When x = 3, the area is 216 square centimeters.

When x = 2.4, the area is 138.24 square centimeters.

And when x = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When x = 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when x = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

$c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}$

3 0

2 years ago

Tom opened a lemonade stand to earn money to buy a new bike for $200. He sells a cup of lemonade for $1.00. On the first day he

tia_tia [17]

1 - 8

2 - 16

3 - 32

x - +200

Each lemonade has a profit of $1, so the number of cups of lemonade he sells is the same as the amount of dollars he has. You just need to add each previous day's total to the next day's, doubling the amount of cups from the previous day's for each new day.

4 - (32 x 2 = ) 64

8 + 16 + 32 + 64 = 120. We need at least $80 dollars more, so we continue.

5 - (64 x 2 = ) 128

120 + 128 = $248.00 That's more than enough, so Tom will have enough money for his bike after the fifth day of selling lemonade.

6 0

2 years ago