help me with this please and thank you !!

Answer:

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

Verify (f ∘ f−1) (x) = x

(f ∘ f−1) (x) = f [f −1 (x)]

= f (x/3 + 2/3)

⟹ 3(x/3 + 2/3) – 2

⟹ x + 2 – 2

= x

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

m(gradient) =y2-y1/x2-x1

=8-(-1) /4-5

=8+1/-1

=9/-1

=-9

y-y1=m(x-x1)

y-(-1)=-9(x-5)

y+1=-9x+45

y=9x+45-1

y=9x+44(rule)

Inverse>y+44=9x

y+44/9=9x/9

x=y+44/9

Therefore inverse is y=x+44/9

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

Answer:

-95

Step-by-step explanation:

formula in finding this is -3

Arithmetic Sequnce:

-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.

Carry on learning

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

clearly, we see here, this constant is -3.

and we start with -8.

a1 = -8

a2 = a1 - 3 = -8 - 3 = -11

a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14

so, it becomes clear that

an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3

so,

a30 = -8 - 29×3 = -95

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

now, let's find the Area of Semicircle ~

So, Area of the given figure is equal to ~

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

b=29 a=5.5 n=-13 r=12

Step-by-step explanation:

a: 5+8(4)=5+24=29

b: 3-5(-0.5)=3+2.5=5.5

c: 2(-2)^2-5=2(-4)-5=-8-5=-13

d= -3(-1-3)=-3(-4)=12

substitute the variable with the number and pedmas

variable is the letters in the equation: y=5+8x

that's the answer Just look at the picture's

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

Answer:

$624

Step-by-step explanation:

650 * .80 = 520

520 * 1.20 = 624

Answer:

72%

Step-by-step explanation:

36/50 = 0.72

0.72 x 100 = 72%

Answer: 1

Step-by-step explanation: use foil and get 4-3.

Answer:

See answer below.

Step-by-step explanation:

LA = π rl

1st find l    

The radius is 5" and the height is 12"  l = ?

  h and the r is the two legs in the right triangle when drawn in a cone.

Use a²  + b² = c²     ⇔ h² + r² = l²

                                    12² + 5²  = l²

                                   144 + 25 = l²

                                     169 = l²

                                    [tex]\sqrt{169} = l[/tex]

                                        13 = l

Formula for LA = π r l

                  LA = 3.14 × 5 ×13  or with a calculator   LA = π × 5 × 13

                   LA = 204.1  sq.in                                   LA  = 204.2035225 sq. in

I use 3.14 = for π  but you know what the teacher uses in class.

Answer:

A

Step-by-step explanation:

876 divided by 43 = 20

and the remainder is 16

in the case of other options, the quotients are correct but the remainders are wrong.

Therefore, A is the option with both correct quotient and remainder.

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

Answer:

See picture

Step-by-step explanation:

My calculator only allows numbers up to 15 digitss-

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Here

Work

Picture

I just want the points so please tell me I didn't just waste my time :'D