-5(-2)..............

Answer:

Step-by-step explanation:

Step 1             f(x) = [tex]\frac{3x+4}{8}[/tex]                 Given

Step 2            y = [tex]\frac{3x+4}{8}[/tex]                    Change f(x) to y

Step 3            x = [tex]\frac{3y+4}{8}[/tex]                    Switch x and y

Step 4            8x = 3y + 4              multiply each side by 8

Step 5            8x - 4 = 3y               Subtract 4 from each side

Step 6            [tex]\frac{8x-4}{3}=y[/tex]                   Divide by 3 on each side

Step 7            [tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]           Replace y by [tex]f^{-1}(x)[/tex]

Therefore, inverse of the function will be,

[tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]

Sofia made a mistake in step 6. She should have divided both the sides by 3 instead of multiplying each side by 3.

Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

The given function is [tex]f(x)=\dfrac{3x+4}{8}[/tex].

It is required to calculate the inverse of the function.

So, the steps involved in finding the inverse of the function will be,

Step 1:

Write the given function as,

[tex]f(x)=\dfrac{3x+4}{8}[/tex]

Step 2:

Change the function f(x) to y as,

[tex]y=\dfrac{3x+4}{8}[/tex]

Step 3:

Switch x and y as,

[tex]x=\dfrac{3y+4}{8}[/tex]

Step 4:

Multiply each side of the equation by 8 as,

[tex]8x=8\dfrac{3y+4}{8}\\8x=3y+4[/tex]

Step 5:

Now, subtract 4 from each side of the equation as,

[tex]8x-4=3y+4-4\\8x-4=3y[/tex]

Step 6:

Now, it is required to divide each side by 3.

[tex]\dfrac{8x-4}{3}=\dfrac{3y}{3}\\\dfrac{8x-4}{3}=y[/tex]

Step 7:

Now, replace y with [tex]f^{-1}(x)[/tex] as,

[tex]\dfrac{8x-4}{3}=f^{-1}(x)[/tex]

So, the required inverse function should be [tex]f^{-1}(x)=\dfrac{8x-4}{3}[/tex].

Therefore, Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

For more details, refer to the link:

https://brainly.com/question/19606498

Answer:

im gonna go with yes

Step-by-step explanation:

Answer:

is what a perfect square?

Step-by-step explanation:

there is no pic attached

Answer:

Yes, {9,−1,−2,−4},{9,−1,−5,5}

Step-by-step explanation:

Since there is one value of y for every value of x in ((9,9),(−1,−1),(−2,−5),(−4,5)), this relation is a function. The relation is a function.

The domain is the set of all the values of . The range is the set of all the values of

y.Domain:{9,−1,−2,−4}Range:{9,−1,−5,5}

<3

Answer:

15

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Suppose i started from ( x , y ) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

So ;

3 units left :

[tex]x - 3 = 0[/tex]

Add sides 3

[tex]x = 3[/tex]

_________________________________

2 units down :

[tex]y - 2 = - 1[/tex]

Add sides 2

[tex]y = 1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus i started from ( 3 , 1 ) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

This should be what you're looking for.

Answer:

After 5 hours of service, both babysitting services would cost the same.

Step-by-step explanation:

Babysitter's Block: y = 15x + 25

Super Sitters: y = 20x

15x + 25 = 20x

Subtract 15x from both sides;

25 = 5x

Divide both sides by 5;

x = 5

For 5 hours of service, both babysitting services would cost the same.

Answer:

I think its 15600..

Step-by-step explanation:

Answer:

A: m<BOD = 95°

O: m<AOC = 75°

R: m<AOD = 113°

T: m<GUH = 61°

M: m<GUI = 92°

E: m<EUF = 37°

F: m<EUI = 160°

K: m<MAN = 30°

I: m<LAM = 40°

S: m<KAM = 80°

H: m<JAN = 140°

N: m<KAN = 110°

✅I STINK THEREFORE I HAM

Step-by-step explanation:

A: m<BOD = 57° + 38° = 95°

O: m<AOC = 18° + 57° = 75°

R: m<AOD = 18° + 57° + 38° = 113°

T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°

m<FUI = 123°

m<GUH = m<FUI - (m<FUG + m<HUI)

m<GUH = 123° - (31° + 31°)

m<GUH = 61°

M: m<GUI = m<GUH + HUI

m<GUI = 61° + 31°

m<GUI = 92°

E: m<EUH = 129° (given)

m<EUF = m<EUH - (m<FUG + m<GUH)

m<EUF = 129° - (31° + 61°)

m<EUF = 37°

F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI

m<EUI = 37° + 31° + 61° + 31°

m<EUI = 160°

K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,

m<MAN = 30°

I: m<JAM = 110° (given), m<JAK = 30° (given)

Since <KAL ≅ <LAM, therefore,

m<LAM = ½(m<JAM - m<JAK)

m<LAM = ½(110° - 30°)

m<LAM = 40°

S: m<KAM = m<KAL + m<LAM

Since <KAL ≅ <LAM, therefore,

m<KAM = 40° + 40°

m<KAM = 80°

H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN

m<JAN = 30° + 40° + 40° + 30°

m<JAN = 140°

N: m<KAN = m<KAL + m<LAM + m<MAN

m<KAN = 40° + 40° + 30

m<KAN = 110°

Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.

✅We would have:

I STINK THEREFORE I HAM

Answer:

100/35 = 2

35 goes into 100 2 times

Step-by-step explanation:

Answer:

It"s the second answer, "An 8-foot ramp leans....".

Step-by-step explanation:

Answer:

Step-by-step explanation:

⊕ An 8-foot ramp leans against a building 5 feet away.  

cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°

Answer:

2(30-7x)

Step-by-step explanation:

=14+14x-65-9

=14+14x-79

=60+14x

=2(30-7x)

Answer:

1) dividend

2) divisor

3) quotient

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.

I hope this might help you

Mark it as brainliest answer and follow me

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

common ratio is 2/5

First term is  125/2

The sum of the first n terms is: [tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]

The infinite sum is: [tex]S_\infty =\frac{625}{6}[/tex]

Step-by-step explanation:

The 4th term is 4, and the seventh term is 32/125 so we use the definition of nth term of a geometric sequence to create the following two equations:

[tex]a_4=a_1\,*\,r^{4-1} = a_1\,*\,r^3\\4=a_1\,*\,r^3\\and\\a_7=a_1\,*\,r^{7-1} = a_1\,*\,r^6\\\frac{32}{125} = a_1\,*\,r^6[/tex]

Now we divide a7 by a4 to get rid of a1 and work on determining the common ratio of the sequence:

[tex]\frac{a_7}{a_4} =\frac{8}{125} =\frac{a_1\,r^6}{a_1\,r^3} =r^3\\then\\r=\sqrt[3]{\frac{8}{125} } =\frac{2}{5}[/tex]

So, the common ratio is 2/5

we can now determine the first term:

[tex]a_4=4=a_1\,*\,(2/5)^3\\a_1=\frac{125*4}{8} =\frac{125}{2}[/tex]

The sum of the first n terms is given by the formula:

[tex]S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{1-(2/5)} \\S_n=\frac{125}{2} \, \frac{1-(2/5)^n}{3/5}[/tex]

and therefore, the infinite sum is:

[tex]S_\infty = a_1\,\frac{1}{1-r} = \frac{125}{2} \,\frac{5}{3} =\frac{625}{6}[/tex]

Answer:

Because the weather was generally better this year compared to last year, the attendance may have increased.

Step-by-step explanation:

took test

Answer:

C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.

Step-by-step explanation:

edge 2020

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

Answer:

250 centimeters

Step-by-step explanation:

2 meters into centimeters is 200 so 200+50=250

Answer:

100cm

Step-by-step explanation:

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

Answer:

[tex]\huge\boxed{\sf Agnes\ Score = 688\ points}[/tex]

Step-by-step explanation:

[tex]\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points[/tex]

Since, Agnes scored 20 % fever than Amy.

So,

Agnes Score = Amy's Points - 20 % of Amy's Points

Agnes Score = 860 - 172

Agnes Score = 688 points

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Yes

Step-by-step explanation:

Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.

Answer:

To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).

Step-by-step explanation:

[tex]14^{2} +18^{2} = 19^{2}[/tex]

Now solve to see if it equates to be true.

196 + 324 = 361

520 [tex]\neq[/tex] 361

That means 14, 18, and 19 can't form a triangle.

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

Answer:

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

Answer:

26

Step-by-step explanation:

13 in 1/2 hour

13:1/2

26:1

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = [tex]\frac{5}{8}[/tex]

 Slope of ST = [tex]-\frac{8}{5}[/tex]

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

Answer:

2) 8x^2 -6x-7 hope this helps