The graph of f(x) = (0.5) is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 3 units, then what is the value of k?
Ok=-3
Oka-
O
OK= 1/3
Ok = 3

Answers

Answer 1

Answer:

[tex]k = 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 0.5x[/tex]

[tex]g(x) = 0.5x - k[/tex]

Required

[tex]Find\ k[/tex]

Initial expression of f(x) is [tex]f(x) = 0.5x[/tex]

From the question; we understand that f(x) was shifted down by 3 units;

This implies that

[tex]New\ f(x) = 0.5x - 3[/tex]

Also from the question; we understand that this new f(x) is equivalent to g(x);

In other words;

[tex]New\ f(x) = g(x)[/tex]

Substitute[tex]New\ f(x) = 0.5x - 3[/tex] and [tex]g(x) = 0.5x - k[/tex]

This gives

[tex]0.5x - 3 = 0.5x - k[/tex]

Subtract 0.5x to both sides

[tex]0.5x - 3 - 0.5x = 0.5x - k - 0.5x[/tex]

Rearrange

[tex]0.5x - 0.5x - 3 = 0.5x - 0.5x- k[/tex]

[tex]-3 = -k[/tex]

Multiply both sides by -1

[tex]-3 * -1 = -k *-1[/tex]

[tex]3 = k[/tex]

[tex]k = 3[/tex]


Related Questions

Explain how you can solve the following scenario in two different ways. I owe my friend $16 and my mom owes me $25. how much money will I have after all is settled?

Answers

Answer:

$9

Step-by-step explanation:

Given  I owe my friend $16 and my mom owes me $25

step 1-->take back money from mom

Mom gives back you $25

Now you have $25

Step 2: return the money you owe to friend

you owe $16

You have $25 and return $16

Thus , money you will have = money you have - money you return

money you have = $25 - $16 = $9

Thus, you will have $9 , after all is settled.

PLEASE HELP IM TIMED!!! What is the area of the regular trapezoid below? A trapezoid has a base of 20 inches, height of 8 inches, and top side length of 12 inches.

Answers

Steps:

12* 8 = 96 + two side of triangle (32 when combined) is 128.

Description:

We get 12 inches the top side and the length, then we times it by 8 inches that was the height. Answer will equal as 96. Plus the two side for the triangle and when combined 32 answer will equal as 128. So the correct answer for this question is 128 inches squared.

Answer: The area is 128 inches squared.

Please mark brainliest

Hope this helps.

Place the indicated product in the proper location on the grid. (x + y)(x2 - xy + y2)

Answers

Answer:

25x +3

Step-by-step explanation:

Answer:

x^3 + y^3

Step-by-step explanation:

Hope this helps.

Which of the following equations can be used to find the length of BC in the
triangle below?
B
10
А
130
c
O A. BC = 30 - 10
O B. BC = 30 + 10
O C. (BC)2 = 302 - 102
O D. (B92 = 102 + 302

Answers

Answer:

BC² = 10² + 30²

the answer is D

The length of BC can be founded by the equation (BC)² = 30² + 10².

Pythagoras Theorem:In a Right angle triangle, the square of the length of the hypotenuse is equal to the sum of the square of length of the other two sides.For eg, In a right-angle triangle ΔABC, ∠A = 90°
then, BC² = AB² + AC²

How to solve the given question?In ΔABC, ∠A = 90°, so by Pythagoras theorem,
BC² = AB² + AC²
∴ BC² = (30)² + (10)²

Thus, option D is the correct option.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

If f(x) = 3x - 1, find f(10).

Answers

The answer is 29

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

29

Step-by-step explanation:

3(10)-1

30-1

29

A stack of boards is 6 ft. high. Each board is 4 in. thick. How many boards are in the stack?

Answers

Answer:

18 Boards

Step-by-step explanation:

Convert 6ft into inches,

[tex]6*12=72[/tex] (inches high stack)

Divide the result by four (the height of each board),

[tex]72/4=18[/tex]

Help me plz this is hard will give points

Answers

Answer:

C = 14pi

Step-by-step explanation:

C = pi d

The radius is 7 so the diameter is

d = 2r

d = 2*7

=14

C = pi *14

C = 14pi

Answer:

Step-by-step explanation:

we know circumference of a circle = [tex]\pi[/tex]d

here radius = 7 mm

diameter = 2*7= 14mm

therfore circumference = [tex]\pi[/tex] * 14

ie C = 14[tex]\pi[/tex]

therefore 2nd  option is the answer

Dya had an account balance of $532.00 in her checking account. Over the next month, she deposits $210.00, pays her annual credit card fee of $25.00, and makes ATM withdrawals of $300.00 and $60.00 from an ATM that charges a $2.50 fee per transaction. What is her account balance at the end of the month?

Enter your answer as a dollar amount, such as: $21.00.

Answers

Answer: $352.00
=Opening balance + Deposit - Credit cars charge - ATM withdrawal - withdrawal charges

=532+210-25-(300+60)-(2.5×2)
=$352.00

Mindy used 160 beads to make 25% of the bracelets needed for her friends. How many bracelets does she need to make all her friends bracelets?

Answers

All you need to do is 160-25%

Answer:

640

Step-by-step explanation:

160=25%

25 times 4=100

therefore 160 times 4=100%

Write the explicit rule,

Answers

Answer:

[tex]a_{n}[/tex] = 20n + 12

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 52 - 32 = 72 - 52 = 92 - 72 = 20

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 32 and d = 20, thus

[tex]a_{n}[/tex] = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12

The ratio x:y is 3: 1 Which of the following statements is correct? A x is 3/4 of y B y is 1/3 of x C x is 1/3 of y D y is 1/4 of x

Answers

Answer: i say B is correct

Answer:

i think it's C i may be wrong

Step-by-step explanation:


In the graph below, find the coordinate of the image point. O is the origin and P is the point (4, 3). R x and R y are reflections around the x- and y- axes.



Complete the following:

R x D o, 2 : (2,4)

(4, -8)
(-4, 8)
(-4, -8)

Answers

I need to see the graph but my guess for this question would be the first one , Hope this is the correct answer :)

Answer:

(-4,-8)

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. The “?” in the table represents the number (blank) because the average rate of change on every interval of the function is (blank).

Answers

Answer:

The answers to the blanks are:

381/3

The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.

Step-by-step explanation:

How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:

2. x = 2 (were added 4 to the first number -2)

   f(x) = 17 (were added 12 to the first number 5)

3. x = 5 (were added 3 to the second number 2)

   f(x) = 26 (were added 9 to the second number 17)

4. x = 9 (were added 4 to the third number 5)

How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:

  f(x) = 38 (were added 12 to the third number 26)

Consider the function.
What is the x-intercept of f-^1(x)?​

Answers

Answer:

(2 1/2, 0)

Step-by-step explanation:

In the picture attached, the complete question is shown.

f(x) = 2 1/2 - 3 1/3 * x

or

f(x) = 5/2 - (10/3)*x

f^-1(x) is the inverse of f(x), which is obtained replacing f(x) by x, and x by y, and solving for y, as follows:

x = 5/2 - (10/3)*y

(10/3)*y = 5/2 - x

y = (5/2)*(3/10) - x*(3/10)

y = (3/4) - (3/10)*x

f^-1(x) = (3/4) - (3/10)*x

at x-intercept, f^-1(x) = 0,

(3/4) - (3/10)*x = 0

(3/4) = (3/10)*x

x = (3/4)*(10/3)

x = 5/2 or 2 1/2

Answer:

d - (2 1/2,0)

Step-by-step explanation:

got it right on edge

simplify (3x^2)^6 PLZ I NEED IT FAST! I WILL GIVE BRAINLIEST!

Answers

Answer:

729x^12

Step-by-step explanation:

3x^2*3x^2*3x^2*3x^2*3x^2*3x^2

Help idk how to do it

Answers

Answer:

b=15

Step-by-step explanation:

360-90=270

270+60=330

360-330=30/2=15

Answer:

The measure of angle b is 15 degrees,

Step-by-step explanation:

Both triangles are isosceles. The inside one is also a right triangle. Since the big triangle is isosceles and the two angles add up to 120 degrees, they also have to be equal, meaning ∠P≅∠R=60 degrees. The inside triangle is also isosceles, meaning that m∠a=60°-b, which 60°-b representing the measure of the last angle in the smaller triangle. Since ∠a and the third angle are congruent, they each have to equal 45°. 60°-45°=15°. The measure of ∠b=15°.

Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did she earn? *

Answers

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

[tex]\frac{15}{100}=0.15[/tex]

Now, take the total amount of the sales and multiply it by this decimal.

[tex]59,500*0.15=8925[/tex]

given:F(x)=2x and G(x) =X^2+2 find F/G(-1) A)-2/3
B)-2
C)2/3

Answers

Answer:

A)  -2/3

Step-by-step explanation:

To find the answer look at what it's asking you to do.  (f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{2x}{x^2+2}[/tex]

Now you need to find (f/g)(-1).  Plug in -1 wherever there is an x and simplify.

[tex](f/g)(-1)=\frac{2*-1}{(-1)^2+2}\\ (f/g)(-1)=\frac{-2}{1+2}\\ (f/g)(-1)=\frac{-2}{3}[/tex]

Your answer is -2/3

Question 11 (Multiple Choice Worth 1 points) (05.05 MC) The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3. If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle? C(3, −2), D(−2, −2) C(3, −3), D(−2, −3) C(−3, 3), D(−3, −2) C(−2, 3), D(−2, −2)

Answers

Answer:

  C(3, −3), D(−2, −3)

Step-by-step explanation:

The given segment is 5 units long. (You can subtract the coordinates or count the grid squares to see this.)

In order for the area to be 30 square units, the product of length and width must be 30.

  30 = 5×width

  30/5 = width = 6

The horizontal line that is 6 units below the one shown is at y = -3. That is, the coordinates of C and D will have y-values of -3. Only one answer choice matches.

Answer:

C(3, −3), D(−2, −3)

Step-by-step explanation:

One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.

Answers

Answer:

A = 236,000 (1.04)^t

population in 2009 : 335,902 people

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form) = 4/100 = 0.04

t= years passed from 2000

A = population after t years  

Replacing with the values given:  

A = 236,000 (1+ 0.04)^t

A = 236,000 (1.04)^t

Population in 2009.

t = 2009-2000 = 9  

A = 236,000 (1.04)^9

A = 335,902 people

Feel free to ask for more if needed or if you did not understand something.  

Graph the function defined by f(x) = |x+ 2].

Answers

Answer:

Here is the graph:

Hope it helps......!

FOR A TEST, PLEASE HELP Two angles are supplementary if their sum is​ 180°. The larger angle measures three degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are​ supplementary, find the measure of each angle. The smaller angle measures ? degrees. The larger angle measures ? degrees.

Answers

Step-by-step explanation:

I think writing the given out helps a bit.

x = small angle

2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.

small angle + large angle = 180

Now just substitute!

[tex]x+(2x+3)=180\\3x=177\\x=\frac{177}{3} \\x=59[/tex]

Now that you know what x equals (aka the smaller angle) now you can find the larger angle.

[tex]2(59)+3\\118+3\\121[/tex]

Answer:

The smaller angle equals 59°

The larger angle equals 121°

Good luck!

Solve for the variable "d" in the following equation.

[tex]F=\frac{Gm_1 m_2}{d^2}[/tex]

Answers

[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]

F x [tex]d^{2}[/tex] = G[tex]m_{1}m_{2}[/tex]

[tex]d^{2}[/tex] = [tex]\frac{Gm_{1}m_{2}}{F}[/tex]

d = ±[tex]\sqrt{\frac{Gm_{1}m_{2}}{F} }[/tex]

Since "m1" and "m2" represent different masses, we can change them to different letters. This will make it easier to solve.

m1 = m

m2 = n

F = G*m1*m2/d^2 → F = Gmn/d^2

Steps to solve for d:

F = Gmn/d^2

~Multiply d^2 to both sides

d^2 * F = d^2 * Gmn/d^2

~Simplify

d^2 * F = Gmn

~Divide F to both sides

d^2*F/F= Gmn/F

~Simplify

d^2 = Gmn/F

~Take the square root of both sides

√d^2 = ±√Gmn/F

~Simplify

d = ±√Gmn/F

Since we are done solving for d, we can input "m1" and "m2" to replace "m" and "n".

d = ±√Gmn/F → d = ±√G*m1*m2/F

Therefore, the answer is [ d = ±√G*m1*m2/F ]

Best of Luck!

Circumference and area of a circle (picture provided)

Answers

Answer:

B

Step-by-step explanation:

The formulas we need are below:

C=dπ

A=r²π

d=2r

Plug in the values.

d=12

C=12π

A=36π

C=12(3.14)=37.68

A=36(3.14)=113.04

B matches

What is the solution of x + [tex]\frac{1}{5}[/tex] (x - 1) = 1?
A. 1
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{2}{3}[/tex]
D. [tex]\frac{5}{3}[/tex]

Answers

Your answer would be A.1

Answer:

[tex] \boxed{A. \: 1} [/tex]

Step-by-step explanation:

[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]

solve for s
13s - 8s - -19 = 4
S =​

Answers

Answer:

s = -3

Step-by-step explanation:

13s - 8s - -19 = 4

Combine like terms

5s +19 = 4

Subtract 19 from each side

5s +19-19 = 4-19

5s = -15

Divide by 5

5s/5 = -15/5

s = -3

Answer:

-3

Step-by-step explanation:

1) combine like terms:

5s--19=4

5s+19=4

subtract 19 from both sides:

5s=-15

s=-3

Hope this helps!

Your mom is taking you shopping at the mall. She has $78 to spend on you. You already know that $18 of that money is for your school backpack. You need to get 2 shirts and 2 pairs of pants for your school uniform. The pants and the shirts cost the same amount for each. How much does each shirt or pair of pants cost?

Answers

Answer:

each coat $15

Step-by-step explanation:

$78-$18 divided by 4 =15

hope this helps :)

Answer:

The answer is that each shirt and pair of pants costs 15$

Step-by-step explanation:

So you have 78$, and you already need to buy a backpack so then you have 60$ dollars because the backpack is 18$, and 2 shirts and 2 pairs of pants is 4 pieces of clothing in all, 60$ divided by 4 pieces of clothing equals 15$ per piece of clothing (78 - 18 = 60 divided by 4 = 15)

Simplify the expression completely. −4g+8−5+ 2g

Answers

Answer:

-2g+3

Step-by-step explanation:

-4g + 8 - 5 + 2g

= (-4g+2g) +(8-5)

= (2-4)g + 3

= -2g +3

This equation is simplified as you can't solve it further

Answer:

-2g + 3

Step-by-step explanation:

Add like terms (-4g and 2g, 8 and -5), like so:

-4g + 2g = -2g

8 - 5 = 3

Put it all together:

-2g + 3

All of the following are equivalent to 3:8 = x : 32 except

8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x

Answers

Answer:

3:8=x:32

Step-by-step explanation:

3:8=x:32, x=12

but in x:8=3:32 x=0.75

Phil starts with gallons of gas in his tank,
Phil uses
of the gas and then fills the tank with 5 gallons.
Which expression represents the amount of gas now in his tank

Answers

You never said how much gas Phil had to start with
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