Given that f(x) = x/2 +5,
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(5)

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

Answer:

hi

Step-by-step explanation:

Answer:

Try looking this up on the internet or something, I will suggest some sites,

Slader, and math -

way

Answer: 3.8 square kilometers.

Step-by-step explanation:

Area of a triangle = (base × height) ÷ 2.

The base of this triangle is 2km

The height of this triangle is 3.8km

2 × 3.8 ÷ 2 = 3.8km²

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2

The given relationship is:

g(1) = 0

g(n) = g(n-1) + n

g(2) = ?

Since g(1) is already known

g(2)  =   g(1)  +  2

Note that g(1) = 0

Substitute g(1) = 0 into g(2)  =   g(1)  +  2

g(2) = 0  +  2

g(2)  =  2

Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2

Learn more on sequence here: https://brainly.com/question/6561461

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

5418-6= 5412

Hope this helps

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

----------------------------------------------------

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

it's the only one not there

Answer:

Step-by-step explanation:

Carlos made:

Lily made:

Together they made:

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

Answer:

x=5.4

y= 9

z= 11

Step-by-step explanation:

5x= 27

x= 5.4

2y-5=y+4

y=9

3z = 33

z =11

Answer:

Let me know if you'd like me to clarify something. Good luck

Answer:

it depends

Step-by-step explanation:

I could be very committed,

im 15 in july my name is mercedes. and im bi, I skate and taken

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

A= -75

B= -60

C= -45

D= -15

E= 15

F=30

Step-by-step explanation:

Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.

Hope this helped!

Answer:

C

Step-by-step explanation:

yeyeyeye

Answer:-10hy-4h

Step-by-step explanation:

h*-10y and h*-4

Answer:

42

Step-by-step explanation:

trust me i had the same answer and it was right

Answer:

because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly

Step-by-step explanation:

(-7, 0)

i promise im right

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.

Given:

The value of car before two years = £10000

The value of the car decreases by 5% each year.

To find:

The present value of the car.

Solution:

The exponential decay model for present value is

[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]

Where, a is the initial value, r is the rate of decay and t is time in years.

Putting P=10000, r=5 and t 2, we get

[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]

[tex]y=10000\left(1-0.05\right)^2[/tex]

[tex]y=10000\left(0.95\right)^2[/tex]

On further simplification, we get

[tex]y=10000(0.95)(0.95)[/tex]

[tex]y=9025[/tex]

Therefore, the present value of the car is £9025.

Answer:

-14/20

-21/30

Step-by-step explanation:

-7/10

-7x2=-14 and -10x2=-20

-14/20

-7/10

-7x3=-21 and -10x3= -30

-21/30

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

Answer:

eight hundred seventy five thousand five hundred eighty four

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

Answer:

(Not sure)

x = 12

Step-by-step explanation:

x + 3 = 15

CLT

X = 15-3

× = 12