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3 years ago

Expand and simplify (x + 5)(x + 4)

Mathematics

2 answers:

Nina [5.8K]3 years ago

7 0

Answer:

(x+5)⋅(x+4)= x2+9x+20

Step-by-step explanation:

(x+5)(x+4)

+4x+5x+20=

+9x+20

blondinia [14]3 years ago

5 0

Step-by-step explanation:

(x+5)(x+4)

x(x+4)+5(x+4)

x2 +4x+5(x+4)

x2+4x+5(x+4)

x2+4x+5x+20

x2+9x+20

solution

x2+9x+20

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Which is equivalent to (-4)3

sveticcg [70]

Answer(-6)2

Step-by-step explanation:

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3 years ago

given f(x)=4x-1, find the domain value if the range value is -5 given f(x)=4x-1, find the domain value if the range value is -5

olga55 [171]

the domain is -1. Let 4x-1=-5 then solve

6 0

3 years ago

g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav

dusya [7]

Answer:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

$X_1 = 23.4 , P(X_1) =0.67$ represent the result if the economy improves

$X_2 = -11.9 , P(X_1) =0.33$ represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing the data given we got:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

7 0

2 years ago

Karl had planned to drive for 1023 hours on a certain day during his road trip. When he became sleepy, however, he decided to de

netineya [11]

Since Karl became sleepy and decided to decrease his driving time by 25%, he drove <u>767.25 hours</u> that day.

<h3>What is driving time?</h3>

Planned driving time is the estimated time that Karl planned to drive between two points or to one's destination.

The Actual driving time is the actual time that it took Karl to drive from one point to his destination.

Driving time can be estimated or calculated by dividing the distance by the speed.

<h3>Data and Calculations:</h3>

The planned driving hours on a certain day = 1,023 hours

Decrease in driving time = 25%

Percentage of hours Karl drove = 75% (100 - 25)

Hours drove that day = 767.25 hours (1,023 x 75%)

Thus, Karl drove <u>767.25 hours</u> that day.

Learn more about driving time at brainly.com/question/4931057

#SPJ1

8 0

1 year ago

The volume of a paper weight in the shape of a square pyramid is 48 cm3. Find the measure of one side of the base, if the height

Ulleksa [173]

The measure of one side of the base = 4 cm

Formula for the volume of a square pyramid $V=\frac{1}{3}\times a^2h$

The area of the base of the pyramid = 16 cm²

Length of the side of the base of the pyramid = 4 cm

Solution:

Given data:

Volume of a square pyramid = 48 cm³

Height of the square pyramid = 9 cm

Formula for the volume of a square pyramid:

$$V=\frac{1}{3}\times a^2h$ , where a is one side of the base and h is height.

Substitute volume and height in the formula,

$$48=\frac{1}{3}\times a^2\times9$

$$48=a^2\times 3$

Divide by 3 on both sides of the equation,

$$16=a^2$ – – – – (1)

Taking square root on both sides of the equation, we get

a = 4

One side of the base = 4 cm

Area of the base = side × side

It is already found in equation (1),

Area of the base = 16 cm²

Length of the side of the base of the pyramid = 4 cm.

6 0

3 years ago

Read 2 more answers

Expand and simplify (x + 5)(x + 4)​

Expand and simplify (x + 5)(x + 4)