simplify this problem

Answer:

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term

Step-by-step explanation:

Answer:

Options C and D.

Step-by-step explanation:

The given functions are

[tex]f(x)=2^{x-6}+3[/tex]

[tex]g(x)=2^{x-3}+2[/tex]

We need to find the transformation from f(x) to g(x).

Now, write the function g(x) in the form of f(x).

[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]

[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]

[tex]g(x)=f(x+3)-1[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (2)

Where, a is horizontal shift and b is vertical shift.

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.

From (1) and (2), we get

[tex]a=3>0[/tex], so graph shifts 3 units left.

[tex]b=-1<0[/tex], so graph shifts 1 unit down.

Therefore, the correct options are C and D.

Answer:

B, 210

Step-by-step explanation:

there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d

First number can be 1 out of 10

Second number can be 1 out of 9

Third number can be 1 out of 8

Fourth number can be 1 out of 7

Total combinations = 10 x 9 x 8 x 7 = 5,040

The answer is D. 5,040

Answer:

4

Step-by-step explanation:

2x - 1 = 7

2x = 8

x = 4

Answer:

you go to the teacher and ask for help

Step-by-step explanation:

get up take paper toteacher and ask

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

Answer:

m<OMN = 25

m<LMN = 41

Step-by-step explanation:

m<OMN = 2x + 9

m<LMN = 6x - 7

m<OML = 66

m<OMN + m<LMN = m<OML

2x + 9 + 6x - 7 = 66

8x + 2 = 66

8x = 64

x = 8

m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25

m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41

Answer:

m<OMN = 25

m<LMN = 41

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

Answer:

There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.

Step-by-step explanation:

We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.

If pa² + qa + r = 0 and p > 1.

Thus, D = q² - 4pr.

If D > 0, then the equation has 2 real solutions.

If D = 0, then the equation has 1 real solution.

If D < 0, then the equation has 0 real solutions.

We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:

p = 5

q = -6

r = 10

D = q² - 4pr

D = (-6)² - 4(5)(10)

D = 36 - 200

D = -164

D < 0

Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.

I hope this helps! Sorry if my English didn't really help with having a clearer explanation.

Answer:

none is equivalent. all are wrong

Answer:

B)

Step-by-step explanation:

6x - 9

Here, 6x is a term and -9 is another term

Answer:

distributive property

Step-by-step explanation:

5(8+3)=5*8+5*3

This is an example of the distributive property

The 5 is distributed to each of the terms inside the parentheses

Answer:

coin: ball:

1

head -- 6

7

1

tail -- 6

7

The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.

Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
              H                    T
      -----------------    ---------------
      1       6      7      1      6    7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}

Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.

Step-by-step explanation:

Solve the following system:

{8 x + 9 y = 9 | (equation 1)

3 x - 5 y = 20 | (equation 2)

Subtract 3/8 × (equation 1) from equation 2:

{8 x + 9 y = 9 | (equation 1)

0 x - (67 y)/8 = 133/8 | (equation 2)

Multiply equation 2 by 8:

{8 x + 9 y = 9 | (equation 1)

0 x - 67 y = 133 | (equation 2)

Divide equation 2 by -67:

{8 x + 9 y = 9 | (equation 1)

0 x+y = -133/67 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{8 x+0 y = 1800/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Divide equation 1 by 8:

{x+0 y = 225/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Collect results:

Answer: {x = 225/67 , y = -133/67

Answer:

4/5

Step-by-step explanation:

y=mx+b where m is slope

Answer: 4/5

Step-by-step explanation:

Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope

Answer:

The speed of aircraft is 600 mph.

Step-by-step explanation:

Given distance = 120 miles

Time for which jet flew : from 10:20 AM to 10:32 AM

Total duration for which jet flew =  10:32 - 10:20  = 12 minutes

(from 10 hours 32 minutes and 10 hours 20 minutes

10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)

here time is in minutes, we have to convert it in hours

we know

60 minutes = 1 hour

1 minutes = 1/60 hour

multiplying LHS and RHS by 12

1*12 minutes =  (1/60) *12hour

12 minutes =  (1/60) *12hour

12 minutes = 1/5 hours

We know

speed = distance / time

distance = 120 miles

time = 1/5 hours

speed = 120 miles/ (1/5 hours)

speed = 120 * 5 mph = 600 mph

The speed of aircraft is 600 mph.

Answer:

Total Students = 3a - 2b

Step-by-step explanation:

Given

Students in drama club = a

There are twice as many students in cooking club as in drama club;

So, Students in cooking club = 2a

Members of both clubs = b

Required

Expression for total students in cooking or drama club but not both;

To do this, number of students in individual clubs need to be calculated;

Let Students in drama club only  be represented by D and Students in cooking club only be represented by C

So,

D = Students in drama club - Members of both clubs

D = a - b

Similarly,

C = Students in cooking club - Members of both clubs

C = 2a - b

So, total students in cooking or drama club but not both D + C

Total students = a - b + 2a - b

Collect like terms

Total Students = a + 2a - b - b

Total Students = 3a - 2b

Answer:

false

Step-by-step explanation:

A function has a one to one correspondence.  That means each input goes to one  output.  12 goes to 2 different outputs so it is not a function

Answer:

false

Step-by-step explanation:

f(x) is not a function because an input can I have more than one output.

Answer:

D

Step-by-step explanation:

Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!

[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)² = (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

Answer:

25.2

Step-by-step explanation:

Volume of container: 2x3x5=30

0.84x30=25.2

Answer:

(–4, –1)

Step-by-step explanation:

Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.

Hence, the coordinate pair for the translated point S' are (–4, –1).

Answer:

3

Step-by-step explanation:

Plugging 14 into the given model equation, you get:

[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]

Hope this helps!

Answer:

The answer is 3

Step-by-step explanation:

Since both fractions have the same denominator, divide the numerators:

15/3 = 5

There are 5 servings.

Answer:

The Answer is 2160000000

Answer:2160000000

Step-by-step explanation: