For the function
f
(
x
)
=
5
(
x
+
10
)
f(x)=5(x+10), find
f
−
1
(
x
)
f
−1
(x).

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

Answer:

the answer for this would be -3

Answer:

Step-by-step explanation:

We have;

P = 4500

A = 8550

T= 5 years

I= ?

R=?

We know,

A= P+I

or, 8550=4500+I

∴I=8550-4500= 4050

Now, I= PTR/100

Or, 4050= (4500*5*R)/100

Or, 4050=45*5*R

Or, R= 4050/225

∴R= 18%

Answer:

1.6c - 5

Step-by-step explanation:

-2.6 (5 - c) - c + 8

-13 + 2.6c - c + 8

1.6c -13 + 8

1.6c -5

Answer: -1

Step-by-step explanation:

Look at the patter it has

Answer:

c. the radius

Step-by-step explanation:

To calculate the radius of a sphere:

r = d x ½

where d = diameter

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

In this question, we want to find the average rate of change of a function over an interval, it represents by how much f(x) changes when x changes by 1.

Average rate of change:

The average rate of change of a function over an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

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

Between x = 4 and x = 6, so [tex]a = 4, b = 6[/tex]. Then

[tex]f(a) = f(4) = 2*4^3 + 4 = 132[/tex]

[tex]f(b) = f(6) = 2*6^3 + 4 = 436[/tex]

Then

[tex]A = \frac{436 - 132}{6 - 4} = 152[/tex]

Thus, the average rate of change of the function is of 152, that is, when x changes by 1, y changes by 152.

For another problem involving an average rate of change, you can check https://brainly.com/question/14481908

Answer:

Un batido de proteínas cuesta $ 5,25.

Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

[tex]x + 4\cdot y = 25,50[/tex] (1)

[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)

Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:

1) Despejamos [tex]x[/tex] en (1):

[tex]x = 25,50 - 4\cdot y[/tex]

2) Eliminamos [tex]x[/tex] en (2):

[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]

[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]

3) Simplificamos y despejamos [tex]y[/tex]:

[tex]10\cdot y = 52,50[/tex]

[tex]y = 5,25[/tex]

Un batido de proteínas cuesta $ 5,25.

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!

1 hour = 60 minutes

3.5 hours x 60 = 210 minutes

210 minutes / 7.5 minutes per mile = 28 miles

Answer: 28 miles

Step-by-step explanation:

(8x⁵y³)^(2/3)

= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))

= 4×x^(10/3)×y^(2)

= 4y²(³√x¹⁰)

Answer:

D

Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

Answer:

y=-7/4x +10

Step-by-step explanation:

that the graph, you can plug the equation in desmos,

hope it helps! :)

Step-by-step explanation:

2x-3x=5+10

-x=15

X=-15

2x+1=0.... 1

X-1=0

X=1......2

Substitute the value of x in equation 1

2*1+1=0

2=1

So the value of x is 1 and 2

Answer:

x=-1/2

x=1

x=-15

Step-by-step explanation:

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Learn more about Distance: https://brainly.com/question/17273444

#SPJ2

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

Answer:

a)-2x(x+4x²)+3(x²+2x)

-2x²-8x³+3x²+6x

-2x²+3x²+6x-8x³

x²-8x³+6x

in descending order

-8x³+x²+6x

b)(4x-3)(4x+3)

4x(4x+3)-3(4x+3)

16x²+12x-12x-9

16x²-9

I hope this helps and sorry if it's wrong

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

70,000 multi purpose vehicles were sold in the year 2006

First we need to know the equivalent of 1 lakh.

1 lakh = 100,000

From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.

Converting 0.7lakh to thousands:

0.7lakh= 0.7 × 100,000

0.7lakh = 70,000

This shows that 70,000 multi purpose vehicles were sold in the year 2006

Learn more: https://brainly.in/question/2811622

Answer:

Arthur should select the Mount Joy Pool when there are less than 10 people at the party

Step-by-step explanation:

The initial fee to rent the Woodbridge Pool = $50

The additional fee per person after renting = $5

The initial fee to rent at Mount Joy Pool = 0 (no initial fee)

The fee per person at Mount Joy Pool = $10

The equation of a straight line is y = m·x + c

Ley y  represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;

The total cost of renting Woodbridge Pool, y = 5·x + 50

The total cost of renting the Joy Pool, y = 10·x

Equating both values of y gives;

5·x + 50 = 10·x

∴ 5·x = 50

x = 50/5 = 10

x = 10

From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool

It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool  will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons

Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.

Answer: [tex]b=\sqrt{95}[/tex]

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

[tex]7^2+b^2=12^2[/tex]      [exponent]

[tex]49+b^2=144[/tex]     [subtract both sides by 49]

[tex]b^2=95[/tex]               [square root both sides]

[tex]b=\sqrt{95}[/tex]

Now we know [tex]b=\sqrt{95}[/tex].

Answer:

G: 4x + 0.25 = 4.5x

Step-by-step explanation:

1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph

2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?

3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x

Answer:

57m^2

Step-by-step explanation:

First we need to find the area of both shaded and not shaded regions. Since we are solving area for 2-D images we will use the equation Area=length(with)

Shaded Region: 11(9)=99

Unshaded Region: 8(6)=42

Now we subtract the shaded region with the unshaded region to get an area of 57 Meters. Therefore the area of the shaded region is 57m^2

Answer: 57m^2 is the answer

Answer: x³+8x²+11x-20

Step-by-step explanation:

To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.

-5 is the same as x+5=0

-4 is the same as x+4=0

1 is the same as x-1=0

Now that we have the factors, we can multiply them together.

(x+5)(x+4)(x-1)                  [FOIL]

(x²+4x+5x+20)(x-1)          [combine like terms]

(x²+9x+20)(x-1)                 [FOIL]

x³-x²+9x²-9x+20x-20       [combine like terms]

x³+8x²+11x-20

Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.

Answer:

sh ma at me Ej as he be as h

Step-by-step explanation:

c my zzz bb

dbdgj dd d

sin(24) = x/16

x = 6.51

Answer:625/16 or 39,0625

Step-by-step explanation:

=5*5/2*5÷2*3/5*3

=160/64÷8/125

=625/16 or 39,0625

Answer:

Alternate form is 1525.87891

Answer:

Yusuf is 33 and Ajay is 18

Step-by-step explanation:

Let Y and A stand for the ages of Yusuf and Ajay, respectively.

We are told that:

(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]

(A-5)+(Y-5) = 41  [5 years before sum of their ages was 41]

Take the definition of Y in the first equation and use it in the second:

Y = (1/2)A+24 from the first equation

(A-5)+(Y-5) = 41    The second equation

(A-5)+(((1/2)A + 24)-5) = 41  Replace Y with (1/2)A+24

(A-5)+(1/2)A + 24-5 = 41

A-5+(1/2)A + 24-5 = 41

(3/2)A + 14 = 41

(3/2)A = 27

A = (2/3)(27)

A = 18

Ajay is 18 years old

Yusuf is Y=(1/2)(18)+24

Yusuf is 33 years old

====

Check:  Is Yusuf 24 years more than half the age of Ajay?

Ajay = 18, so (1/2)18 = 9.  Add 24 years to get 33.  Yes, this works since Yusuf is 33 years old

Was the sum of their ages = 41 five years ago?

Ajay would have been 13 and Yusuf would have been 28  28+13 = 41  YES

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5