if f(x) = 2x/7 +4, which of the following is the inverse of f(x)?
​

Answer:

Answer:

[tex]y = 5x + 3[/tex]

Step-by-step explanation:

Given

[tex]y = 3x - 2[/tex]

[tex]10(x + \frac{3}{5}) = 2y[/tex]

Required

The second equation in slope intercept form

We have:

[tex]10(x + \frac{3}{5}) = 2y[/tex]

Divide both sides by 2

[tex]5(x + \frac{3}{5}) = y[/tex]

Open bracket

[tex]5x + 3 = y[/tex]

Rewrite as:

[tex]y = 5x + 3[/tex]

Hence, the equation in slope intercept form is: [tex]y = 5x + 3[/tex]

Answer: I agree with the other person

Step-by-step explanation:

Answer:

(-5,31/2)

Step-by-step explanation:

open bracket

y=1/2x^2+5x+28

compare with y=ax2+bx+c

use formula (-b/2a,4ac-b2/4a)

Step-by-step explanation:

12/3.75 = 3.2 a gallon

Answer:

C

Step-by-step explanation:

The slope of C is 3/2 and it stays consistent unlike the other ones.

Answer:

M(-5/2, -2)

Step-by-step explanation:

Add the x-coordinates & divide by 2.

Add the y-coordinates and divide by 2.

x-coordinates: -4, -1

(-4 + (-1))/2 = -5/2

y-coordinates: -8, 4

(-8 + 4)/2 = -4/2 = -2

M(-5/2, -2)

Answer:

50 and 150

Step-by-step explanation:

Raheem- (2x+50)

Usman- x

(2x+50)+x=200

3x+50=200

3x=150

x=50

plug in the numbers

Given:

The inequalities are:

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

To find:

The graph for the given system of inequities.

Solution:

We have,

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

The related equations are:

[tex]y=\dfrac{2}{3}x+3[/tex]

[tex]y=-\dfrac{1}{3}x+2[/tex]

Table of values

x                       [tex]y=\dfrac{2}{3}x+3[/tex]                        [tex]y=-\dfrac{1}{3}x+2[/tex]

0                             3                                           2

3                             5                                           1

Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].

Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].

In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.

[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.

Therefore, the required graph is shown below.

Answer:

[tex]f) \: r2 \div r1 \: = 5 \div 1[/tex]

Step-by-step explanation:

[tex] \frac{a1}{a2} = \frac{1}{25} = \frac{\pi \times (r1)^{2} }{\pi \times (r2)^{2}} [/tex]

[tex] {(\frac{r2}{r1})}^{2} = 25[/tex]

[tex] \frac{r2}{r1} = 5[/tex]

Answer:

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )

4(x² - x) + 1 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - x

4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Answer:

equivalent

Step-by-step explanation:

Answer and explanation:

Keira could get or look up an electronic copy of the book online. Once she has an electronic copy(pdf for instance) of the book, she can count number of e's in her book using the PDF reader or any software extension(good number of tools online) that would do just that.

Factors for Keira to consider:

How many lines and words are there on average per page; how many words are there per line?

How many e's are there manually counting for at least 5 pages.

Problems Keira might have in collecting data:

If book is physical and not an electronic copy, Keira may have to go through a tedious task of counting manually. She could make a rough estimation based on a few pages counted but she would need more accurate figures which requires the tedious task of counting e 's manually

Answer:

well your answer should be "F"

Step-by-step explanation:

we have

Y<-2x+10  -----> inequality A

The solution of the inequality A is the shaded area below the dashed line

Y = -2x+10

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

Y<1/2x-2 ----> inequality B  

The solution of the inequality B is the shaded area below the dashed line

Y= 1/2x-2

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

i hope this helps

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]

[tex]\bold{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.Di ko alam

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

pa tama nalang kung mali ah

tao lang nag kakamali rin hehe

[tex]\bold\blue{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.F

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

Taga Pilipinas ka din ba o hindi?

Answer:

Step-by-step explanation:

If cost price (CP) is greater than selling price (SP) , then the item is sold for loss.

Loss = CP - SP

Loss% = [tex]\frac{loss}{CP}*100[/tex]

If SP is greater than Cp, then the item is sold for a profit.

Profit =SP -CP

Gain % = [tex]\frac{gain}{CP}*100[/tex]

a)  CP = $50    ; SP = $30   ; CP > SP,  loss

Loss = 50 - 30 = $ 20

Loss % = [tex]\frac{20}{50}*100=20*2[/tex]

            = 40% loss

b) CP = £ 5000 ; SP = £6250  ; SP > CP ,  Profit

Profit = 6250 - 5000 = £ 1250

Profit % = [tex]\frac{1250}{5000}*100=25[/tex]

          25% Profit

Respuesta:

Significar

Explicación paso a paso:

Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.

Dados los datos:

2,4, 5, 2, 3, 3, 3, 5

La media = Σx / N = 2.3

Modo = 3

Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3

Si se agrega un valor extremo: digamos 80

2, 2, 3, 3, 3, 4, 5, 5, 2, 80

Nueva media = Σx / N = 11,88

Mediana = 1/2 (n + 1) th término

Mediana = 1/2 (10) término = 3

Modo = 3

Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.

Answer:

Option (1)

Step-by-step explanation:

Given inequality is,

-4(x + 3) ≤ -2 - 2x

Further solve this inequality,

-4x - 12 ≤ -2 - 2x

-4x + 2x - 12 ≤ -2 - 2x + 2x

-2x - 12 ≤ -2

-2x - 12 + 12 ≤ -2 + 12

-2x ≤ 10

-x ≤ 5

x ≥ -5

Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.

Option (1) is the answer.

Answer:

[tex]Sets = 27[/tex]

Step-by-step explanation:

Given

[tex]Coin = 1[/tex]

[tex]Toss = 5[/tex]

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]

Next, we list out all outcomes with at most 3 heads

, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]

So, the number of set is:

[tex]Sets = 27[/tex]

Answer:

x × 3 + 5[tex]x^{2}[/tex] - x- 5

reorder the terms

3x + 5[tex]x^{2}[/tex] - x - 5

collect like terms

2x + 5[tex]x^{2}[/tex] - 5

reorder the terms

Solution

5[tex]x^{2}[/tex] + 2x -5

Answer:

[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

H

Answer:

25

Step-by-step explanation:

you would do the total which is 45-20

Answer:

AG = 18

Step-by-step explanation:

The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.

Lets make x represent AG.

So, 2/3 of x is 12

or

[tex]\frac{2}{3}[/tex]x = 12

Multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] , which is [tex]\frac{3}{2}[/tex].

( [tex]\frac{3}{2}[/tex]) [tex]\frac{2}{3}[/tex]x = 12 ([tex]\frac{3}{2}[/tex])  (x is left alone, the fractions = 1 when multiplied)

x = 12 ([tex]\frac{3}{2}[/tex])         ( 12 times 3 = 36, divided by 2 = 18)    

x = 18

Answer:

11.3

Step-by-step explanation:

first we find angle F.

remember, all angles in a triangle always sum up to 180 degrees.

so,

F = 180 - 90 - 61 = 29 degrees

now we use the law of sines.

EF/sin(D) = ED/sin(F) = DF/sin(E)

DF = x

sin(E) = sin(90) = 1

5.5/sin(29) = x/1 = x

x = 11.3