Dahlia is simplifying (3 t) Superscript 4 using these steps:

(3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3 times 3 times 3 times t times t times t times t


Although Dahlia is correct so far, which step could she have used instead to simplify the expression (3 t) Superscript 4?
(3 t) Superscript 4 = 3 t Superscript 4
3 Superscript 4 Baseline t = 81 t
4 (3 t) = 12 t
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4

Given:

The function is:

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

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.

To find:

The equation of the transformed function.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.  So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get

[tex]g(x)=(-1)f(x+7)+11[/tex]

[tex]g(x)=-(x+7)+11[/tex]                     [tex][\because f(x)=x][/tex]

[tex]g(x)=-x-7+11[/tex]

[tex]g(x)=-x+4[/tex]

Therefore, the required function is [tex]g(x)=-x+4[/tex].

Answer:

Step-by-step explanation:

Everything Shoes:

E * 0.8 = 115

E = 115/.8 = $143.75

~~~~~~~~~~~~~~~~

B * 0.15 = 7

B = 7/.15

B = $46.67

Answer:

Alternate Interior Angles

Step-by-step explanation:

They are alternate interior angles. The reason this works is because 4 is opposite to 3, meaning that 4 is equivalent to the value of (180-Angle3)

Meanwhile 6 is equivalent to (180-Angle5). Angle 5 is the same value is Angle 4.

28000 is the answer.

you count two numbers from front and approximate

Answer:

Step-by-step explanation:

radius of circle is 12

also there is 2 right angles in the triangle if you wanted to solve this problem yourself

but here's the answer:

arc angle of the triangle inside the sircle is double the angle closest to x.

(the pointy area of the triangle is half the angle length of the arc)

i can add more though:

Answer:

17000+3400 =

Step-by-step explanation:

Answer:

25,160

Step-by-step explanation:

ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.

Answer:

it looks like the length of one of the parts is

Step-by-step explanation:

sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3

so 3×sqrt(125)=33.54 inches of tape which is way less then than 86

Answer:

63 is the range of the following test scores.

Step-by-step explanation:

1. The largest number is 95.

2. The smallest number is 32.

3. The range is the difference between the largest and the smallest number.

4. Subtract 95 - 32 which equals 63.

5. 63 is the range of the following test scores.

Answer:

2400 seconds

Step-by-step explanation:

Answer:

40 min = 2400 sec

Step-by-step explanation:

Answer:

397

Step-by-step explanation:

Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;

Por teorema del resto, tenemos;

p (x) = (x - a) · Q (x) + R

Dónde;

p (x) = El número, que se divide

Q (x) = El cociente

(x - a) = El divisor

R = El resto

Dado que el número más pequeño es 4, el resto, 0 <R <4

Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;

R = 1

Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;

(x - a) · Q (x) = 396

R = 1, dar;

p (x) = 396 + 1 = 397

Por lo tanto;

El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397

Answer:

5a) -8 .     Plan : addition/negative?

5b) -30 .   Plan: subtraction/negative?

Step-by-step explanation:

Im not so sure about what "Plan" means, hopefully you know..

5a)

-15 + 7 = 7 - 15 = -8

5b) -10 +(-20) = -10 - 20 = -30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Below

Step-by-step explanation:

So lets start with the first one:

-15+7

We are going to add these together, and will get -8.

Next we have:

-10+(-20)

When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.

So we can think of this as:

-10-20

And since the -10 is negative, and we are subtracting it, it is going to get more engative:

-10-20=-30

This is the solution answer.

I do not know what the answer to the plan is, i dont understand what plan means.

Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

$88.48

Step-by-step explanation:

First, we can check the formula for compound interest, which is

[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).

Thus, our equation is

[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]

Divide both sides by 7.911083 to isolate P, and we get

P = 88.48 (rounded to the nearest cent)

Answer:

a.= 24 b.=-21 c. is x=-7 or 3

Step-by-step explanation:

Step-by-step explanation:

a) f(5)= 5² + 4 x 5 -21

=24

b) f(0)= 0² + 4 x 0 -21

= -21

c) f(x)= 0

=> x² + 4x -21 =0

=> x = 3, x= -7

Answer:

C =(x-3)(x-2)/x

or

x²-5x+6/x

Step-by-step explanation:

2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x

Factorizing the given factors

1) 2x^2 - 4x - 6

= 2x^2 - 6x+2x - 6

= 2x(x-3) +2(x-3)

= (x-3)(2x+2)

2) x^2 - 4

= (x+2) (x-2)

3) 2x^2 + 2x

= 2x( x+1)

Putting the factors

(x-3)(2x+2)/x + 2   *  (x+2) (x-2)/2x( x+1)

= (x-3)(2x+2) (x-2)/2x( x+1)

= 2(x-3)(x+1) (x-2)/2x( x+1)

=(x-3)(x-2)/x

Now multiply

(x-3)(x-2) =x²-5x+6

Then the answer becomes  x²-5x+6/x

Answer:

Step-by-step explanation:

Straight line equation is in the form of:

Lets verify the options:

Answer:

A

Step-by-step explanation:

the middle angle has to be equal to make the entire angle equal

Answer:

[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]

Answer:

[tex]8^{5}[/tex] or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex]  because 6-1 = 5

Answer:

c

Step-by-step explanation:

Answer:

x is greater than or equal to 3

So it is the first answer.

Answer:

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Answer: yeah looks logically correct

Step-by-step explanation: I he got the watch he was 1st

Fact is he didn't get the watch therefore he wasn't first

Therefore 2nd holds true also - if not first then not in station

No watch = not in station

Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ5

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

Answer:

subtract 8 from both sides

Step-by-step explanation: