Identify a1 and r for the geometric sequence defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1 a1 = r =.

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

2. Switch y to x and x to y

x=8y-2

3. Solve for y:

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

1. Add 2 to both sides.

 x=8y-2

+2     +2

2. Divide both sides by 8.

x+2=8y

---     ---

8       8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4  

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

3. Solve for y:

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

1. Subtract 6 from both sides.

x=2/3y+6

-6        -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

x-6=2/3y

2/3x-4=y

3. Write in f-inverse form

g^1(x)=2/3x-4

C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

3. Solve for y:

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

1. Add 12 to both sides.

x=-4y-12

+12    +12

2. Divide both sides by -4

x+12=-4y

------    ---

-4        -4

-1/4x-3=y

3. Write in h-inverse form

h^2(x)=-1/4/x-3

Answer:

[tex]x=-\frac{15}{2}[/tex]

Step-by-step explanation:

Start by distributing the 6 to each of the terms in the parentheses:

6(x)+6(9)=9

6x+54=9

Subtract 54 from both sides

6x+54-54=9-54

6x=-45

Divide both sides by 6

x=-45/6

Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.

x=-15/2

[tex]\huge \boxed{\tt x= - 7.5}[/tex]

Step-by-step explanation:

[tex] \to \sf6(x+9)=9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]

[tex] \\ \\ [/tex]

Round of -15 / 2 to get product as - 7.5

[tex] \to \sf x= - 7.5[/tex]

Verification:

6(x+9)=9

6(- 7.5 +9) = 9

6 × 1.5 = 9

9 = 9

Hence verified ~☆

Answer:

[tex]x = 14 - 3[/tex]

Step-by-step explanation:

*The key word 'less than' means to subtract.

x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.

In other words, the backpack didn't increase in pounds.

3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.

x = 143 is incorrect. This equation is unrealistic.

x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)

Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Answer: 1.5hr

Step-by-step explanation:

Answer:

w43324424

Step-by-step explanation:

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches

Answer: 3:2 is the scale he should use

Step-by-step explanation: You simplify 24/16 by the GCF (greatest common factor) The GCF of 24 and 16 is 8 so [tex]\frac{24}{16}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{2}[/tex]. 3/2 could also be written as a scale or ratio which is 3:2.

Answer:

D. Subtraction Property of Equality

Step-by-step explanation:

D. Subtraction Property of Equality

From 6-7, you subtract 132 from both sides. You can only do this because of the subtraction property of equality which essentially means that if you subtract something from one side of the equation, you also have to subtract it from the other side. In this case, you subtract 132 from both sides, therefore it is D.

Answer:

21

Step-by-step explanation:

On the left side, 2 multiply by 3 is 6. So you can do the same thing to the right side. 7 multiply by 3 is 21.

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

Probabilities are used to determine the chances of events

The probability that the salesman left his sunglasses in the first store is 0.16

The given parameter is:

p = 1/5 ---- the probability that he left his sunglass

The probability that he did not leave his sunglass would be:

q= 1- 1/5

Evaluate the difference:

p = 4/5

So, the probability that the salesman left his sunglasses in the first store is:

Pr = 1/5 * 4/5

Evaluate the product

Pr = 4/25

Express as decimal

Pr = 0.16

Hence, the probability that the salesman left his sunglasses in the first store is 0.16

Read more about probabilities at:

https://brainly.com/question/25870256

Answer:

4,3

Step-by-step explanation:

1 plus 3 equals 4.

-3 plus 6 equals 3.

Answer:

45 and 46

Step-by-step explanation:

let x = the smaller number

thus, x + 1 is the next consecutive number

x + x + 1 = 91

2x + 1 = 91

2x = 90

x = 45

x + 1 = 46

Answer:

1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..

HOPE IT HELPS

Answer:

The y intercept should be 9 and the graph is incorrect.

Answer:

8.5 in

Step-by-step explanation:

step 1

to find the width, the equation would be:

P/2-L

step 2-plug in

43/2-13=

8.5

Answer:

Step-by-step explanation: 10 + 10 = 20

46 - 20 = 26

26 divided by 2 = 13

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for a linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

Let's find sides one by one

[tex]\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=\sqrt{13}=3.2[/tex]

[tex]\\ \tt\hookrightarrow b=\sqrt{2^2+4^2}=\sqrt{20}=4.2[/tex]

[tex]\\ \tt\hookrightarrow x=\sqrt{1^2+4^2}=\sqrt{17}=4.1[/tex]

Now

[tex]\\ \tt\hookrightarrow s=\dfrac{4.2+4.1+3.2}{2}=5.7[/tex]

Apply herons formula

Area

[tex]\\ \tt\hookrightarrow \sqrt{5.7(5.7-3.2)(5.7-4.1)(5.7-4.2)}=\sqrt{5.7(2.5)(1.6)(1.5)}=5.84units^2[/tex]

On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The table of the given x value is,

x          3,     4,     5,     6,     7

f(x)      12,   24,   28,   96,   192

The average rate of change of value is the ratio of overall change of function output value to the input value.

For the input values of 4 and 7 let's find the average rate of change,

[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]

Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Learn more about the data table here;

https://brainly.com/question/15602982

Answer:

4

x-value is the average rate of change 56

Answer:

31.47

Step-by-step explanation:

WX - 11

3.1 x 13.7 - 11

42.47 -11

=31.47

Hi!

I can help you with joy!

All we have to do here is plug in the numbers.

wx-11

(3.1)(13.7)-11

Multiply:

42.47-11

Subtract:

31.47 (Answer)

I hope this helps!

Ask me if you have any questions.

~Misty~

-[tex]\bf{Silent~[/tex]-

Answer:

A circle has a worth of 0. If your talking about the corners.

Answer:

If P(x) has the roots -11 and 6, then its multipliers can be written as

Step-by-step explanation:

P(x)=(x+11)(x-6)

P(x)=x2-6x+11x-66

P(x) = x2+5x-66

Answer:

-33

Explanation:

29-(-36-(-27-31)+40)=

29-(-36-(-56)+40)=

29-(-36+58+40)=

29-62=-33

Answer:

With exponents:

Without exponents

Step-by-step explanation:

Factorization of 36:

Factorization of 45:

-Chetan K

Answer:

The Prime factorization of 36 and 45 is 3²

36 = 2 × 2 × 3 × 3

= 2² × 3²

45 = 3 × 3 × 5

= 3² × 5

Prime Factorization = 3²

____________________

The exponential function represented in the table is given by:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Considering the table, that has points (2,36) and (3,54), we have that:

[tex]36 = ab^2[/tex]

[tex]a = \frac{36}{b^2}[/tex]

[tex]54 = ab^3[/tex]

[tex]54 = \frac{36}{b^2} \times b^3[/tex]

[tex]36b = 54[/tex]

[tex]b = \frac{3}{2}[/tex]

Hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

When x = 2, y = 36, hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]

[tex]\frac{9}{4}a = 36[/tex]

[tex]a = 16[/tex]

Hence, the function is:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

[tex]r=\frac{a-p}{pt}[/tex]

Step-by-step explanation:

Solve [tex]a=p+prt:[/tex]

[tex]r=\frac{a-p}{pt}[/tex]

Answer:

Percent increase : 20%

Step-by-step explanation:

First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

64,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Brainliest?!

Answer:

5 if the value of y become 5 it makes this true

Hi! Let's solve this inequality!

Move 12 to the right side, using the opposite operation.

y>17-12

y>5

Thus, any value of y greater than 5 will make this inequality true.

Let's try 6, since 6 is greater than 5.

12+6>17

18>17

Yeah, it worked :)

Thus, any value of y greater than 5 will make this inequality true.

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

[tex]\bf{M^a^g^i^c^a^l[/tex]

Answer:

96cm

Step-by-step explanation: