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3 years ago

(f×g) (x) (4x+8)×(2x-12)

Mathematics

2 answers:

RoseWind [281]3 years ago

6 0

Answer:

$= (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)$

Paladinen [302]3 years ago

5 0

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

−48x+16x−96)

=(8x

−32x−96)

=8(x

−4x+12)

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Please help me asap!

poizon [28]

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.

8 0

3 years ago

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome

Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10% of his customers buy a magazine

This means that $P = 0.1$

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055$

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

3 0

3 years ago

Read 2 more answers

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allsm [11]

Answer:

$A=384\ cm^2$

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

$A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2$

So, the area of the triangle be $384\ cm^2$ .

5 0

3 years ago

PLZZZZ HELPPPP

denis23 [38]

Answer:

The area of the backyard is <u>944 ft²</u>.

Step-by-step explanation:

Given:

a = 23 ft, b = 32 ft, and c = 36 ft.

Now, to find the area of the backyard.

So, we get a rectangle and a triangle if we divide the figure.

Thus, a rectangle and a triangle as shown in below figure.

So, a = 23 ft, b = 32 ft, c = 36 ft, and d = 32 ft.

And, e = 36 - 23 = 13 ft.

Now, to get the area of the rectangle we put formula:

Area = $length\times width$

$Area=a\times b\\Area=23\times 32\\Area=736\ ft^2.$

Now, to get the area of the triangle we put formula:

$Area=\frac{1}{2} \times base\times height$

$Area=\frac{1}{2}\times d\times e$

$Area=\frac{1}{2} \times 32\times 13$

$Area=\frac{416}{2} \\Area=208\ ft^2.$

So, to get the total area of backyard we add both the areas of the rectangle and triangle:

$736+208$

$=944\ ft^2.$

Therefore, the area of the backyard is 944 ft².

4 0

3 years ago

What is the maximum length of umbrella that could fit in a box 8" by 15"?

Nookie1986 [14]

Answer:

The maximum length of the umbrella should be 15"

Step-by-step explanation:

We can actually visualize the umbrella and comparing it in terms of length with the box

So that for the umbrella to fit into the box it length must be equal or less than the length of the box

Given data

Length of box l=15"

Width of box w= 8"

The symbol " represents inches a unit for measuring le3

Hence the maximum length of umbrella that can fit into the box is the length of the box 15"

Anything more than 15" will not fit in.

4 0

3 years ago

(f×g) (x) (4x+8)×(2x-12)​

(f×g) (x) (4x+8)×(2x-12)