Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5

Answer:

see below

Step-by-step explanation:

Starting with 50

Took out 20

50-20 = 30

Then the balance was 0

We need to subtract 30 to get to get to 0

30-30 = 0

Taking out 30

Withdrawing 30

Spending 30

All are ways of indicating taking out 30 dollars

Answer:

On Tuesday, Devon took 30 dollars out of his checking account.

Step-by-step explanation:

Starting with: $50        -        Ending with $0

Monday: took out $20 or in other words -20   50-20=30

Tuesday: undetermined, but since that was his last day, it would correspond with $0 so, he must've took out $30 and then ended up with none in the end.

30-30=0

So, he took 30 dollars out on tuesday.

Answer:

x = 7

Step-by-step explanation:

The two triangles are similar by AA similarity.

6 : 36 = x : 42

1 : 6 = x : 42

x = 7

Answer:

Answer would be 7.

Step-by-step explanation:

Answer:

It is not.

Step-by-step explanation:

[tex]15^{2}[/tex]+[tex]7^{2}[/tex]=225+49=274

[tex]16^{2}[/tex]=256

274≠256

Answer:

No, this triangle is not a right triangle

Step-by-step explanation:

If (7 cm)^2 + (15 cm)^2 = (16 cm)^2, then this is a right triangle, by the Pythagorean Theorem.  Otherwise it is not.

15^2 + 7^2 = 225 + 49 = 1225 = 35^2.  This is FALSE, and so:

No, this triangle is not a right triangle

Answer:

yee

Step-by-step explanation:

yee

Answer: X=3

Step-by-step explanation:

Answer:

2x - 3y = 18  (1)

5x + 9y = -10​   (2)

<=>

Multiply both sides of (1) by 5, and multiply both sides of (2) by 2, then:

10x - 15y = 90

10x + 18y = -20

Subtract (2) to (1):

=> 33y = -110 => y = -110/33

Substitute y back into (1):

=> 2*x - 3*(-110/33) = 18

=> 2*x + 10 = 18

=> 2*x = 8

=> x = 4

=> Solution: x = 4, y = -110/33

Hope this helps!

:)

Answer: x=4 y= -10/3

Step-by-step explanation:

Look at the attachment. It should explain.

Answer:

1.) Verb phrase

2.) Noun phrase

3.) Adverbial phrase

Answer:

Correct option: second one -> 24 square units

Step-by-step explanation:

First we need to find the length of each side of the trapezoid, and we do that finding the distance between points:

AB = sqrt( (-1 - (-3))^2 + (2 - (-2))^2) = 4.4721

BC = sqrt( (3 - (-1))^2 + (2 - 2)^2) = 4

CD = sqrt( (5 - 3)^2 + (-2 - 2)^2) = 4.4721

DA = sqrt( (-3 - 5)^2 + (-2 - (-2))^2) = 8

The points B and C have the same y-coordinate, and the points D and A also have the same y-coordinate, so they are the bases of the trapezoid.

The height of the trapezoid is the difference in y-coordinate of points B and A:

height = 2 - (-2) = 4

So the area of the trapezoid is:

Area = (BC + DA) * 4 / 2 = (4 + 8) * 2 = 24 square units

Correct option: second one

Answer:

Its B

Step-by-step explanation:

Answer:

3.2t-2.4

Step-by-step explanation:

-3.6 - 1.9t + 1.2 + 5.1t

Combine like terms

-3.6+ 1.2  - 1.9t +5.1t

-2.4        + 3.2t

Answer:  3.2t-2.4

Step-by-step explanation:

First thing you need to do is do   -1.9t+5.1t= 3.2t. Then you do -3.6+1.2= -1.2.

Then put all this together and you get 3.2t-1.2. (do not do 3.2t+-1.2 this incorrect because we left the subtracting sign

Answer:

g(n) = [tex]\frac{11+5n}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 11 + 5n ( divide both sides by 3 )

m = [tex]\frac{11+5n}{3}[/tex] , thus

m = g(n) = [tex]\frac{11+5n}{3}[/tex]

Answer:

Option C

Step-by-step explanation:

Using the slope formula and the points in the picture: (3,12) (6,19)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-12}{6-3}=\frac{7}{3}[/tex]

The slope of the line is 7/3.

Option C should be the correct answer.

Answer:

Your correct answer is option C. 7/3

Step-by-step explanation:

Answer:

3455.75

Step-by-step explanation:

Answer:

Option 3 y=ex-3 hoping this helps

Answer:

Step-by-step explanation:

4y = 20 + 8x

y = 5 + 2x

Answer:

Option B

Step-by-step explanation:

-8x + 4y = 20

[tex]-8x+8x+4y=20+8x \leftarrow \text {Addition Property of Equality.}\\4y=20+8x\\\\\frac{4y}{4}=\frac{20+8x}{4} \leftarrow \text {Division Property of Equality.}\\y=5+2x\\\boxed {y=2x+5}[/tex]

Option B should be the correct answer.

Answer:

1a) C, D, E   is over 600 cubic inches.

1b) x4.8 greater  The sphere is x4.8 greater than the first cone.

Step-by-step explanation:

A) Smaller Right cylinder V≈565.49   cubic inches

B) Smaller cone V≈188.5  cubic inches

C)  Cylinder right prism V≈1696.46  cubic inches

D) Right circular cone V≈565.49     cubic inches

E ) Sphere V≈904.78 cubic inches

1b) Volume of sphere/volume of smaller cone

is 904.78/188.5=  4.7998938992  =  x4.80 greater.

The value of JW is 14 units.

A triangle is a polygon with 3 sides. The area of a triangle with base b and height h is given by A = (1/2)bh.

Given that, JB is the median of the triangle and JW = 6x + 2 and JB = 10x + 1.

The distance between the centroid and a vertex of a triangle is 2/3 of the length of the median, therefore, it follows:

JW = (2/3)JB

Substitute the values:

6x + 2 = (2/3)(10x + 1)

18x + 6 = 20x + 2

2x = 4

x = 2

Substitute x = 2 into the expression for JW:

JW = 6(2) + 2

JW = 14

Hence, the value of JW is 14 units.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

The answer is A.

I used a graphing calculator.

Answer:

the first one

Step-by-step explanation:

slope: use rise-over-run theorem. the slope of the graph rises -2 for every 1 unit over, so slope is -2x

intercept: the line crosses the y-axis at y=3, hence +3

put it together: y=-2x+3

Answer: 140%

Step-by-step explanation:

STEP 1: FIND THE CHANGE IN # OF PEOPLE:

initial # of people: 144

final # of people: 346

change in # of people = (final - initial)

change in # of people = (346 - 144)

change in # of people = 202

STEP 2: FIND THE % CHANGE

202/144 = x/100

(100)(202/144) = x

100(1.4) = x

140% = x

Answer:

140 %

Step-by-step explanation:

(346-144)/144 * 100

(202/144) * 100

Answer:

5.2

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

Division by zero is not defined.  Therefore, x must be greater than zero.  Also:  The square root function is defined only for x greater than zero or equal to zero.  Together these restrictions tell us that the domain is (0, infinity ).

Answer:

15

Step-by-step explanation:

-5+20=20-5

15

Answer: 10y^4

Since it can go 10y^4(3y^4+1)

Step-by-step explanation:

Answer:

10y^4

Step-by-step explanation:

in order to solve you would have to find the prime factors of each term i order to find the GCF.

hope this helped ;)

The answer would look something like this:

[tex]\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}[/tex]

There could also have a simplified version.

I hope this helps.

Answer:

y=-3/2x-.5

Step-by-step explanation:

(5,-4) and (1,-2)

Step 1: find slope:

-4-2/5-1=-6/4=-3/2

y=mx+b

y=-3/2x+b

2.: Plug in point

(1,-2)

-2=-3/2*1+b

-2=-3/2+b

-2+3/2=b

b=-.5

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = [tex]\pi r^{2} h[/tex]

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

Answer:

[tex]a = \frac{1}{2} [/tex]

[tex]b = 0[/tex]

Step-by-step explanation:

[tex]a - b = \frac{1}{2} \\ a + b = \frac{1}{2} \\ \\ a - b + a + b = \frac{1}{2} + \frac{1}{2} \\ a + a = \frac{2}{2} \\ 2a = 1 \\ \frac{2a}{2} = \frac{1}{2} \\ a = \frac{1}{2} [/tex]

[tex]a + b = \frac{1}{2} \\ \frac{1}{2} + b = \frac{1}{2} \\ b = \frac{1}{2} - \frac{1}{2} \\ b = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

x=3

Step-by-step explanation:

substitute x into the equation