The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct?

A: Both the domain and range of the transformed function are the same as those of the parent function.

B: Neither the domain nor the range of the transformed function are the same as those
of the parent function.

C: The range but not the domain of the transformed function is the same as that of the parent function.

D: The domain but not the range of the transformed function is the same as that of the parent function.

There are 188 legs in all

Let's solve this problem step by step:

1. First of all, there are 4 unicorns enjoying themselves playing in the forest, they are: Stardust, Umo, Windthorn and Highflyer are enjoying themselves playing in the forest. Each unicorn has 4 legs, so:

[tex]4 \ unicorns \times 4 \ legs=\boxed{16 \ legs}[/tex]

2. The unicorns notice 8 spiders in the tree, so each spider has 8 legs. Accordingly:

[tex]8 \ spider \times 8 \ legs=\boxed{64 \ legs}[/tex]

3. There are 5 cockroaches, so each cockroach has 6 legs. Accordingly:

[tex]5 \ cockroaches \times 6 \ legs=\boxed{30 \ legs}[/tex]

4. There are 7 bees, so each bee has 6 legs. Accordingly:

[tex]7 \ bees \times 6 \ legs=\boxed{42 \ legs}[/tex]

5. There are 3 deer, so each deer has 4 legs. Accordingly:

[tex]3 \ deers \times 4 \ legs=\boxed{12 \ legs}[/tex]

6. There are 4 cows, so each cow has 4 legs. Accordingly:

[tex]4 \ cows \times 4 \ legs=\boxed{16 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 more deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

Adding all the amounts of legs we have:

[tex]Total=16+64+30+42+16+12+8=\boxed{188 \ legs}[/tex]

Answer:

15 ft

Step-by-step explanation:

Use Pythagorean Thm. If I have two sides:

Then I do this to find the third:

If looking for leg, do sqrt(big square - small square)

If looking for hyp, do sqrt(leg square+leg square)

So what this means since x is a leg, I'm going to do sqrt(17^2-8^2)

17 was bigger than 8 that's why it went first

Anyways now we can just whip out the calculator

sqrt(17^2-8^2)=15

Since this is a right triangle you may use Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex]

a and b are the legs (two sides that FORM the right angle) of the right triangle while c is the hypotenuse (the side that is opposite the right angle)

In this case...

a = x

b = 8

c = 17

Plug these numbers into the formula and solve for x

[tex]x^{2} +8^{2} =17^{2}[/tex]

[tex]x^{2}[/tex] + 64 = 289

[tex]x^{2}[/tex] + (64 - 64) = 289 - 64

[tex]x^{2}[/tex] = 225

To remove the squared from the x take the square root of both sides

x = 15

Hope this helped!

~Just a girl in love with Shawn Mendes

Hello There!

The Answer Would Be 0.25

This is because you have to multiply your original number 5.8 by 0.25 to get the new dilation.

The scale factor is 0.25

[tex]\bf \sqrt{18}~~ \begin{cases} 18=&2\cdot 3\cdot 3\\ &2\cdot 3^2 \end{cases}\implies \sqrt{2\cdot 3^2}\implies 3\sqrt{2}[/tex]

Answer:

C. 3√2

Step-by-step explanation:

√18

= √(9 x 2)

= √9 x √2

= 3√2

Answer:

-3 degrees at 8 pm.

Step-by-step explanation:

That would be  12 - 15

= -3 degrees.

Answer:

-3

Step-by-step explanation:

The answer would be -3, because if it were to go down 15 degrees from when it was 2 PM. The equation you would have to do is 12 - 15. Which answsering that would be -3

Replace f(x) with y:

y = 5x-6

Swith the variables:

x = 5y -6

Now solve for y:

add 6 to each side:

x +6 = 5y

Divide both sides by 5:

y = (x+6)/5

Now replace y with the inverse function f^-1 (x):

f^-1(x) = (x+6)/5

Answer:

See below attachment

Step-by-step explanation:

A p E x

Answer:

The answer is C. Angle with greatest measure

Step-by-step explanation:

In any triangle, there are two property that they always fulfill:

A classical example is in a right triangle: We know that the hypotenuse is the longest side, and also we know that the greatest angle is the right angle.

I have attached an image that shows the properties of the triangles.

Finally, the answer is C. Angle with the greatest measure.

Answer:

Angle with the greatest measure.

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Step-by-step explanation:

we have

[tex]5y+4=(x+3)^{2}+\frac{1}{2}[/tex]

Exchange x for y and y for x

[tex]5x+4=(y+3)^{2}+\frac{1}{2}[/tex]

Isolate the variable y

[tex]5x+4-\frac{1}{2}=(y+3)^{2}[/tex]

[tex]5x+\frac{7}{2}=(y+3)^{2}[/tex]

[tex]\frac{10x+7}{2}=(y+3)^{2}[/tex]

Take square root both sides

[tex](y+3)=(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

[tex]y=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Let

[tex]f^{-1}(x)=y[/tex]

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

[tex]\bf (\stackrel{x_1}{-13}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-10}{16-(-13)}\implies \cfrac{5}{16+13}\implies \cfrac{5}{29}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{5}{29}[x-(-13)] \\\\\\ y-10=\cfrac{5}{29}(x+13)\implies y-10=\cfrac{5}{29}x+\cfrac{65}{29}\implies y=\cfrac{5}{29}x+\cfrac{65}{29}+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{5}{29}+\cfrac{355}{29}~\hfill[/tex]

Final answer:

The correct equation is 3X-3Y = -6, Therefore option A is correct.

Explanation:

To find the correct equation, we can solve the given system of equations. We can do this by using the method of substitution or elimination. Let's use the method of elimination to solve the system.

Multiplying the first equation by 2 and the second equation by 3, we get:

2(x+3y) = 2(-2) ⟶ 2x + 6y = -4

3(2x-6y) = 3(-8) ⟶ 6x - 18y = -24

Adding these two equations together, we eliminate the variable 'x':

(2x + 6y) + (6x - 18y) = -4 + (-24)

8x - 12y = -28

Now, let's compare this equation to the options given. The correct equation is:

3X-3Y = -6

You are told Y is the number of large vehicles washed and that there were 50 large vehicles.

Replace Y with 50 in the given equation to solve for x ( the number of small cars.

5x + 10(50) = 800

5x + 500 = 800

Subtract 500 from both sides:

5x = 300

Divide both sides by 5:

x = 300/5

x = 60

There were 60 small cars washed.

Answer:

yes the answer would be B  ✌

Divide the distance on the map by 2 to get the number of 8km segments there are, then multiply that by 8km for total distance.

16 cm / 2cm = 8

8 x 8km = 64km total.

ANSWER

[tex]x = 1.6[/tex]

EXPLANATION

The given equation is:

[tex] - 0.5x - 2 = 2x - 1 - 6[/tex]

Group similar terms to obtain:

[tex] - 0.5x - 2x = - 5 - 1 + 2[/tex]

Simplify similar terms,

[tex] - 2.5x = - 4[/tex]

Divide both sides by -2.5

[tex]x = \frac{ - 4}{ - 2.5} [/tex]

[tex]x = 1.6[/tex]

Answer: see table completed.

Step-by-step explanation:

Hope this helps.

-4x = -60

  x = -60 / -4

  x = 15

The answer is

x = 15

Answer:

- 2, 64, 0

Step-by-step explanation:

f(- 3) ← x < 0 ⇒ f(- 3) = - 3 + 1 = - 2

f(8) ← x > 0 ⇒ f(8) = 8² = 64

f(0) → x = 0

f(0) = 0² = 0

The range of a function is the output values ( Y values)

These would be the numbers the arrows are pointing at.

-8, -3 , 5 and 7

The answer is C.

Answer:

6F

Step-by-step explanation:

Let x be the temperature at noon

dropping means we subtract

The temperature at 9 pm was -4.  That goes on the right hand side of the equals

x-10 = -4

Add 10 to each side

x-10+10 = -4+10

x = 6

The temperature at noon was 6 F

Answer:

A. [tex]y\le2x^2-8x+3[/tex]

Step-by-step explanation:

The given parabola has vertex at (2,-5).

The equation of this parabola in vertex form is given by:

[tex]y=a(x-h)^2+k[/tex], where (h,k)=(2,-5) is the vertex  of the parabola.

We substitute the values to get:

[tex]y=a(x-2)^2-5[/tex]

The graph passes through; (0,3).

[tex]3=a(0-2)^2-5[/tex]

[tex]\implies 3+5=4a[/tex]

[tex]\implies 8=4a[/tex]

[tex]\implies a=2[/tex]

Hence the equation of the parabola is

[tex]y=2(x-2)^2-5[/tex]

We expand this to get:

[tex]y=2x^2-8x+8-5[/tex]

[tex]y=2x^2-8x+3[/tex]

Since the outward region was shaded, the corresponding inequality is

[tex]y\le2x^2-8x+3[/tex]

The correct answer is A

Answer:

a number subtracted by four equals twelve and five tenths

Step-by-step explanation:

The graph is attached.

To solve the given piecewise function, we need to graph each of the functions that compound the main function with their respective domain restrictions.

So, solving we have:

- First function: Positive slope line (red line).

[tex]f(x)=x+1=y\\\\y=x+1, if x<0[/tex]

Let's find the axis intercepts in order to be able to graph the function.

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]y=x+1\\\\0=x+1\\x=-1[/tex]

So, we have that the x-axis intercept is located at the point (-1,0)

Finding the y-axis intercept, we to mate "x" equal to 0, so:

[tex]y=x+1\\\\y=0+1\\y=1[/tex]

So, we have that the y-axis intercept is located at the point (0,1)

Hence, we have that the function exists from the values of "x" less than 0 to the negative infinite or (-∞,0)

- Second function: Horizontal line (blue line).

[tex]y=2,if0\leq x\leq 1[/tex]

Since there is not variable, we know that it's a horizontal line that passes through y equal to 2.

Hence, we have that the function exists between the values of "x" from  0 to 1 or  [0,1]

- Third function: Positive slope line (green line).

[tex]y=x,ifx>0[/tex]

Let's find the axis intercepts in order to be able to graph the function.

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]0=x+\\\\0=x+\\x=0[/tex]

So, we have that the x-axis intercept is located at the point (0,0)

Finding the y-axis intercept, we to make "x" equal to 0, so:

[tex]y=x\\\\y=0\\y=0[/tex]

We have that the function only pass through the point (0,0) or origin.

Hence, we have that the function exists from the values of "x" greater than 2.

So, the graph of the given function is attached.

Have a nice day!

Answer:

the answer is 30

Step-by-step explanation:

because it is an equilateral triangle all sides are the same so if you set 3x+15 equal to 7x-5 and solve for x you get 4x=20 and x= 5

when you plug 5 in to each equation you get 30 for both sides and so it proves that the answer is 30

Y=3x+8

Step-by-step explanation:

The slope is 3

Slope Intercept form is Y=Mx=b

We want to write the given equation in the form y = mx + b.

y-5 = 3(x+1)

y - 5 = 3x + 3

y = 3x + 3 + 5

y = 3x + 8

Done!

Answer:

In the account that paid 3% Ramon put [tex]\$800[/tex]

In the account that paid 6% Ramon put [tex]\$1,600[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

[tex]P(rt)=Pa(rat)+Pb(rbt)[/tex]

in this problem we have

[tex]t=t\ years\\ P=\$2,400\\ Pa=\$x\\ Pb=\$(2,400-x)\\r=0.05\\ra=0.03\\rb=0.06[/tex]

substitute

[tex]2,400(0.05t)=x(0.03t)+(2,400-x)(0.06t)[/tex]

solver for x

Simplify

[tex]2,400(0.05)=x(0.03)+(2,400-x)(0.06)[/tex]

[tex]120=0.03x+144-0.06x[/tex]

[tex]0.03x=24[/tex]

[tex]x=\$800[/tex]

therefore

In the account that paid 3% Ramon put [tex]\$800[/tex]

In the account that paid 6% Ramon put [tex]\$2,400-\$800=\$1,600[/tex]

To solve this problem, we set up an equation representing the total interest earned from the two different bank accounts. After doing a bit of algebra, we find that Ramon put $1200 into each account.

This question falls into the category of the linear system in mathematics which deals with simple interest calculations. The total amount invested by Ramon is $2400 and we don't know how it was distributed into the two accounts, so we can name the amount in the account with 3% interest x and the other with the 6% interest 2400-x, as the total should be $2400.

We know the total interest earned was 5% of the whole sum, so we can set up the equation:

0.03x + 0.06(2400 - x) = 2400 * 0.05.

Solving the equation, we find that x, the amount in the first account, is $1200 and therefore, $1200 must have been put into the second account.

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Answer:

The converse statement is "If its is September then it is my birthday"

Step-by-step explanation:

Answer:

If its is September then it is my birthday basically reverising it

Step-by-step explanation:

Final answer:

To calculate the perimeter of a square with a side length of 5/7 units, multiply the side length by 4 since all sides of a square are equal. The perimeter is 20/7 units.

Explanation:

The question asks, "What is the perimeter of a square with a side length of 5/7 units?" To find the perimeter of a square, we use the formula P = 4a, where P represents the perimeter and a is the length of one side of the square. Since all sides of a square are equal in length, if the side length is 5/7 units, the perimeter would be 4 times 5/7 units.

Performing the multiplication:

P = 4 × (5/7) units

P = (4 × 5) / 7 units

P = 20/7 units

Therefore, the perimeter of the square is 20/7 units.

Answer:

all real numbers

Step-by-step explanation:

The range of the function f(x) = (6)x after it has been reflected over the x-axis is the single value y = -6, which represents a horizontal line at that height.

The question asks about the range of the function f(x) = (6)x after it has been reflected over the x-axis. Since f(x) is a constant function, its graph is a horizontal line at the height of y = 6 for any value of x within the domain 0 ≤ x ≤ 20. When this function is reflected over the x-axis, the range becomes the set of values that f(x) takes on after the reflection, which would be a horizontal line at y = -6.

Now, let's formulate what happens after the reflection: If the original range of f(x) is a horizontal line at y = 6, then after reflecting over the x-axis, the new range will be a horizontal line at y = -6. Therefore, the range of the reflected function is the single value y = -6.

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Answer:

D) x = 40.5

Step-by-step explanation:

When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.

The left side of the larger triangle is 12 + 15, so it is 27.

The left side of the smaller triangle is 12.

So, part of the proportion will be [tex]\frac{27}{12}[/tex]

The bottom side of the larger triangle is x.

The bottom side of the smaller triangle is 18.

So, part of the proportion will be [tex]\frac{x}{18}[/tex]

The full proportion will be:

[tex]\frac{27}{12}=\frac{x}{18}[/tex]

Cross multiply and solve for x.

27(18) = 12x

486 = 12x

40.5 = x

Answer:

# The growth value of the function is 1/3 ⇒ 2nd

# f(x) shows exponential decay ⇒ 3rd

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3}) ^{x}[/tex] ⇒ 4th

Step-by-step explanation:

* Lets explain the exponential function

- The form of the exponential function is f(x) = a b^x, where a ≠ 0,

  b > 0 , b ≠ 1, and x is any real number

- a is the initial value of f(x) ⇒ (when x = 0)

- b is the growth factor

- The exponent is x

- If the growth factor (b) is in between 1 and 0 then it is exponential

 decay

* Lets solve the problem

∵ [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

- Lets find the initial value

∵ At the initial position x = 0

∴ [tex]f(0)=3(\frac{1}{3})^{0}=3(1)=3[/tex]

* The initial of f(x) is 3

∵ b = 1/3

∵ b is the growth factor of the function

* The growth value of the function is 1/3

∵ b = 1/3

∵ 0 < b < 1

∴ The function is exponential decay

* f(x) shows exponential decay

- A vertical stretching is the stretching of the graph away from the x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

∵ [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∵ Its parent function is [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

∴ k = 3

∵ k > 1

∴ the function is stretched vertically

* The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∴ The true statements are:

# The growth value of the function is 1/3

# f(x) shows exponential decay

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

Answer:

1 * 5 = 5cm

3 * 5 = 15cm

2 * 5 = 10cm

Step-by-step explanation:

1+3+2 = 6

then do 30 / 6  = 5 to find one part of the ratio

1 * 5 = 5

3 * 5 = 15

2 * 5 = 10

Answer:  The lengths of the sides of the triangle are:

____________________________________

                     " 5 cm, 15 cm, and 10 cm " .

____________________________________

Step-by-step explanation:

____________________________________

1x + 3x + 2x = 30 ;  

In which the sides are:

1x ;  3x,  2x ;  

Find:  1x  ; 3x;  and 2x .

____________________________________

Let us begin by finding "x" :

____________________________________

1x + 3x + 2x = 30

1x + 3x + 2x = 6x ;  

→  6x  =   30  ;

Divide each side of the equation by:  " 6 " ;

     to isolate "x" on each side of the equation; and to solve for "x" ;

 →  6x / 6  = 30 / 6 ;

to get:

 →   x  =  5  ;

______________________________________

Now, solve for the length of each side;

______________________________________

 1x  =     x   =   5 cm ;

 3x =  (3*5) = 15 cm ;

 2x  =  (2*5) =  10 cm ;

______________________________________

Answer:  The lengths of the sides of the triangle are:

                     5 cm, 15 cm, and 10 cm .

_______________________________________

Hope this helps!

       Best wishes to you in your academic pursuits

              — and within the "Brainly" community!

_______________________________________

Answer:

1/24

Step-by-step explanation:

Step-by-step explanation:

-1 7/8+1 11/12

=-15/8+23/12 by taking Lcm as 24 we get:

=-45+46/24=1/24