Pls help with this.

Answer:

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Step-by-step explanation:

Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).

In this question, we have:

[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]

Shifting 1 unit to the left:

[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]

[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]

[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]

[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Answer:

26cm²

Step-by-step explanation:

Perimeter

2x - 4 + 5x - 13 + x + 9 = 40

8x - 8 = 40

8x = 40 - 8

8x = 32

x = 4

Sides of the triangle

Height = 2x - 4 = 2 x 4 - 4 = 4cm

Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm

Base = x + 9 = 4 + 9 = 13cm

Area of triangle

= 1/2 x base x height

= 1/2 x 13 x 4

= 26cm²

Hope this helps

Answer:

26 cm

Step-by-step explanation:

Answer: r= A-P/ Pt

Step-by-step explanation: ur welcome

The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Here,

The formula shown can be used to find A the amount of money Raul has in his saving account.

Raul wants to find r the rate of interest his money earns.

We have to find the equation is correctly solved for r.

What is Rate of interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Now,

The formula which shown to find A is;

A = P + Prt

Hence, equation is correctly solved for r is;

[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]

So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Learn more about the rate of interest visit:

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Answer:

a) Rs 603.68

b) Rs 476.33

c) first division

Step-by-step explanation:

Total profit = profit 1 + profit 2 = P

hence P ~ N(12,74) = [tex]\frac{P-12}{\sqrt{74} } ~ N(0,1)[/tex]

A ) Specifying a Rupee range ( centered on the mean ) that contains 95% probability for annual profit of the company

$13.41 = Rs 603.68

B) specifying the 5th percentile of profit

p = $10.59 ≈ Rs 476.33

C) The  division that has a larger probability of making a loss in a given year is the first division

attached below is a detailed solution of the given problem

A): Range containing 95% probability for profit of company is

(Rs. 99M, Rs. 1026M).

B): Rs. 170.1 Million.

C): First division of the company has larger probability of making a loss.

Given that:

$1 = Rs. 45

[tex]Profit_1 \sim N(5, 3^2) \\ Profit_2 \sim N(7, 4^2)[/tex]

Thus,

Company's profit:

[tex]P \sim N( 5+7, 3^2 + 4^2) = N(12, 5^2)[/tex]

A):

95% of the probability lies between 1.96 standard deviations of the mean.

Thus range is:

[tex]= (12 - 1.96\times 5, 12 + 1.96 \times 5)\\\\= (\$2.2M, \$22.8M)\\ \\= (\rm Rs. \: 99M, \rm Rs. \: 1026M)[/tex]

B): Fifth percentile is calculated as:

[tex]P(Z \leq \dfrac{p-12}{5}) = 0.05[/tex]

From p values of z score table, we get:

[tex]\dfrac{p-12}{5} = -1.644\\p = 12 - 8.22 = 3.78\\[/tex]

Thus at $3.78M dollars, or Rs. 170.1M amount, 5th percentile of profit lies.

Or 5th percentile of profit is Rs. 170.1 Million.

C): Loss is when profit < 0

Thus: p < 0

The first division of company, thus have larger probability of making a loss in a given year.

Learn more here:

https://brainly.com/question/13299273

Answer:

19

Step-by-step explanation:

[tex]\frac{17b - a^{2} }{2}[/tex]

Substitute the "a" and "b"

a = 8

b = 6

[tex]\frac{17 * 6 - 8^{2} }{2}[/tex]

[tex]\frac{17 * 6 - 64}{2}[/tex]

[tex]\frac{102 - 64}{2}[/tex]

[tex]\frac{38}{2}[/tex]

[tex]19[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

number 3. is the correct answer.

Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1

Step-by-step explanation:

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

Answer:

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Step-by-step explanation:

3 (x + 3) −2 < 4

Simplify 3 (x + 3) − 2.

Apply the distributive property.

    3x + 3 ⋅ 3 − 2 < 4

Multiply 3 by 3.

    3x + 9 − 2 < 4

Subtract 2 from 9.

    3x + 7 < 4

Move all terms not containing x to the right side of the inequality.

Subtract 7 from both sides of the inequality.

    3x  < 4 − 7

Subtract 7 from 4.

    3x  < −3

Divide each term by 3 and simplify.

    x < −1

The result can be shown in multiple forms.

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Answer: 42 inches

Step-by-step explanation:

To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches

Answer:

The volume of the pyramid is 42 inches³.

Step-by-step explanation:

The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.

Answer:

[tex]\mathrm{1.}\; m=\mathrm{N/A};\: \mathrm{none}; \: x=14\\\mathrm{2.}\; m=0;\: (0,-5); \:y=-5\\\mathrm{3.}\; m=2;\:(0, -6); \: -2x+y=-6\\[/tex]

Step-by-step explanation:

Problem 1:

Problem 2:

Problem 3:

Answer:

0.18 cents an ounce

Step-by-step explanation:

Take 2.16 and divide it by 12.

Step-by-step explanation:

Since KQ bisects RS, we have KR = 0.5SR.

=> 2x - 8 = 0.5(x - 1)

=> 2x - 8 = 0.5x - 0.5

=> 1.5x = 7.5, x = 5.

Answer:

A: 2/15

Hope this helped!

Answer:

function

Step-by-step explanation:

pls brainly give

Answer:

[tex] \frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24} [/tex]

hope it can help u~~

Answer:

375 calories each

Step-by-step explanation:

2000-875=1125

1125/3=375

Answer:

add the answers then subtract

Step-by-step explanation:

hope this is right

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

dotted line that is at (0,1) then the dotted line goes up to the right and also down to the left so for going up its 1 up 1 over and then also draw a line on the orgin 0,0 that goes in the opposistedirection so left up one to the left one and do that corner to corner that line is filled in and then to get your anwser shade in the area below your secoundline to the bottom of the first line which is going to be bottom left of your graph   step-by-step explanation:

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

Answer:

-

Step-by-step explanation:

Answer:

Proved all parts below.

Step-by-step explanation:

As given ,

|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]

To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0

                 b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .

                 c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .

Proof -

a)

As given x is a real number

Also , by definition of absolute value of x , we get

| x | ≥ 0

Now,

if |x| = 0

⇒ x = 0 and -x = 0

⇒ x = 0 and x = 0

⇒ x = 0

∴ we get

| x | = 0 ⇒  x = 0

Hence proved.

b)

To prove - | x | ⋅ | y | = | x y |

As we have,

|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]

|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]

|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]

We have 4 cases : i)  when x > 0 , y > 0

                              ii) when x > 0 , y < 0

                              iii) when x < 0, y > 0

                              iv) when x < 0, y < 0

For Case I - when x > 0 , y > 0

⇒ |x| = x, |y| = y

⇒|x|.|y| = xy

For Case Ii - when x > 0 , y < 0

⇒ |x| = x, |y| = -y

⇒|x|.|y| = -xy

For Case Iii - when x < 0 , y > 0

⇒ |x| = -x, |y| = y

⇒|x|.|y| = -xy

For Case IV - when x < 0 , y < 0

⇒ |x| = -x, |y| = -y

⇒|x|.|y| = (-x)(-y) = xy

∴ we get , from all 4 cases

| x | ⋅ | y | = | x y |

Hence Proved.

c)

To prove - | x + y | ≤ | x | + | y |

Let

|x| = |x + y - y|

    ≥ |x + y| - |y|     ( Triangle inequality)

⇒ |x| + |y| ≥ |x + y|

Hence Proved.

Answer:

1

Step-by-step explanation:

Answer:

Sorry this is late!

Step-by-step explanation:

Answer:

f(8)=91 is the answer

answer is 91

Answer:

a.0.5984

b.0.2394

c.0

d.13.4

Step-by-step explanation:

We are given that

a=6.3,b=20.5

The pdf of uniform distribution

[tex]f(x)=\frac{1}{b-a}=\frac{1}{20.5-6.3}=0.0704[/tex],6.3<x<20.5

            0, otherwise

Now,

a.

P(10.2<x<18.7)=[tex]\int_{10.2}^{18.7}f(x) dx[/tex]

[tex]=0.0704[x]^{18.7}_{10.2}[/tex]

[tex]P(10.2<x<18.7)=0.0704(18.7-10.2)=0.5984[/tex]

b.P(x>17.1)

[tex]P(x>17.1)=\int_{17.1}^{20.5}0.0704dx[/tex]

[tex]=0.0704(20.5-17.1)[/tex]

[tex]=0.2394[/tex]

c.P(x<6.3)=0

d.E[x]=[tex]\frac{a+b}{2}=\frac{6.3+20.5}{2}=13.4[/tex]

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

Answer:

I think the first one is the answer

Answer: y = 2

Step-by-step explanation: Horizontal means y =

Answer:

○ [tex]\displaystyle y = 2[/tex]

Step-by-step explanation:

This is a STRAIT HORISONTAL LINEAR EQUATION, therefore sinse every x-coordinate will have the same y-coordinate of [tex]\displaystyle 2,[/tex] this is the option you would pick.

I am joyous to assist you at any time.