On which number line do the points represent 7 1/2 and +1?

Step-by-step explanation:

Here,

by formula a^2+b^2=(a+b)^2-2ab

so,

or,(a+b)^2-2ab

or,(73)^2-2×65

or,5329-126

=5203 is the answer

If x + 1, x - 5, and x - 2 are in a geometric progression, then there is some constant r for which

x - 5 = r (x + 1)

==>   r = (x - 5) / (x + 1)

and

x - 2 = r (x - 5)

==>   r = (x - 2) / (x - 5)

Then

(x - 5) / (x + 1) = (x - 2) / (x - 5)

Solve for x :

(x - 5)² = (x - 2) (x + 1)

x ² - 10x + 25 = x ² - x - 2

-9x = -27

x = 3

It follows that the ratio between terms is

r = (3 - 5) / (3 + 1) = -2/4 = -1/2

Now, assuming x + 1 = 4 is the first term of the G.P., the n-th term a(n) is given by

a(n) = 4 (-1/2)ⁿ⁻¹

The sum of the first 12 terms - denoted here by S - is then

S = 4 (-1/2)⁰ + 4 (-1/2)¹ + 4 (-1/2)² + … + 4 (-1/2)¹¹

Solve for S :

S = 4 [(-1/2)⁰ + (-1/2)¹ + (-1/2)² + … + (-1/2)¹¹]

(-1/2) S = 4 [(-1/2)¹ + (-1/2)² + (-1/2)³ + … + (-1/2)¹²]

==>   S - (-1/2) S = 4 [(-1/2)⁰ - (-1/2)¹²]

==>   3/2 S = 4 (1 - 1/4096)

==>   S = 8/3 (1 - 1/4096)

==>   S = 1365/512

Answer:

The domain and range remain the same.

Step-by-step explanation:

Hi there!

First, we must determine what increasing a by 2 really does to the exponential function.

In f(x)=ab^x, a represents the initial value (y-intercept) of the function while b represents the common ratio for each consecutive value of f(x).

Increasing a by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).

The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.

The range remains the same as well; for the original function, it would have been [tex]y\neq 0[/tex]. Because increasing a by 2 does not move the entire function up or down, the range remains the same.

I hope this helps!

Answer:

I'm not sure if you have to round it up but I think it's $15681.6

Hope it helps!

Answer:

1st quartile: 1920s / 6

Step-by-step explanation:

First find the median, which is 1950s / 10. There are 5 rows behind it.

The median of those previous 5 rows is 1920s / 6.

9514 1404 393

Answer:

  C.  2cos²(x)

Step-by-step explanation:

The relevant identities are ...

  cos(2x) = cos²(x) -sin²(x)

  cos²(x) = 1 -sin²(x)

__

Then the expression can be simplified to ...

  cos(2x) +1 = (cos²(x) -sin²(x)) +1 = cos²(x) +(1 -sin²(x)) = cos²(x) +cos²(x)

  = 2cos²(x)

9514 1404 393

Answer:

Step-by-step explanation:

The only factor outside parentheses that contain 2 terms is the factor 3/5. It can be distributed. (The correct response is shown.)

  3/5 can be distributed

__

The only like terms that reside on the same side of the equal sign are ...

  18 and -1

Answer:

I believe it’s 900

Step-by-step explanation:

Find out how much milk per student for one day then time 5 the times 600 if I’m wrong please let me know

The average number of total cartons of milk the [tex]600[/tex] seniors drink each school day will be [tex]400[/tex].

The average is the sum of the numbers divided by total numbers .

We have,

Number of juniors [tex]=450[/tex]

Number of Seniors [tex]=600[/tex]

And,

Cartons of milk Juniors drink in [tex]5[/tex] days [tex]=1500[/tex] cartoons

So,

Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=\frac{1500}{5} =300[/tex]

So,

The average Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=\frac{300}{450} =\frac{2}{3}[/tex]

And,

According to the question,

The average Cartons of milk Juniors drink in [tex]1[/tex] day [tex]=[/tex] The average Cartons of milk Seniors drink in [tex]1[/tex] day

i.e.

The average Cartons of milk Seniors drink in [tex]1[/tex] day [tex]=\frac{2}{3}[/tex]

So,

Number of total cartons of milk the [tex]600[/tex] seniors drink each school day [tex]=\frac{2}{3}*600=400[/tex]

Hence we can say that the average number of total cartons of milk the [tex]600[/tex] seniors drink each school day will be [tex]400[/tex].

To learn more about average click here

https://brainly.com/question/4539347

#SPJ2

Answer:

Switch x and y, and solve for y

[tex]f^{-1}(x) =\frac{(x -4)^3}{8}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3\sqrt{8x} + 4[/tex]

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

[tex]f(x) = \sqrt[3]{8x} + 4[/tex]

Replace f(x) with y

[tex]y = \sqrt[3]{8x} + 4[/tex]

Switch x and y

[tex]x = \sqrt[3]{8y} + 4[/tex]

Now, we solve for y

Subtract 4 from both sides

[tex]x -4= \sqrt[3]{8y} + 4-4[/tex]

[tex]x -4= \sqrt[3]{8y}[/tex]

Take cube roots of both sides

[tex](x -4)^3= 8y[/tex]

Divide both sides by 8

[tex]\frac{(x -4)^3}{8} = y[/tex]

So, we have:

[tex]y =\frac{(x -4)^3}{8}[/tex]

Hence, the inverse function is:

[tex]f^{-1}(x) =\frac{(x -4)^3}{8}[/tex]

Answer:

x

y

f^-1(x)= 1/8(x-4)^3 (plug in choices to match)

Step-by-step explanation:

You see, the guy above me already got it right. 1/8(x-4)^3 and (x-4)^3/8 are essentially the same thing. The only difference is either dividing by 8 and multiplying by 1/8, and that's only a visual difference.

Answer:

Option B

Step-by-step explanation:

If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),

Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}[/tex]

                 k = [tex]\frac{3}{2.4}[/tex]

Therefore, Option B will be the correct option.

Answer:

18

Step-by-step explanation:

Assuming the sides are 12 and 38

Since this is a right triangle, we can use trig functions

We know the opp side and the adj side of the angle in questions

tan ? = opp /adj

tan ? = 12/38

Taking the inverse tan of each side

tan ^-1 (tan ?) = tan ^-1 (12/38)

?=17.52556

To the nearest degree

? = 18

If the side is 36,

tan ? = opp /adj

tan ? = 12/36

Taking the inverse tan of each side

tan ^-1 (tan ?) = tan ^-1 (12/36)

?=18.43494

To the nearest degree

? = 18

Answer:

tăng lên 5.000 nghìn đồng

Step-by-step explanation:

mỗi chuyến bay có 0.5% hành khách mất hành lí

mỗi người đòi bồi thường 1.000.000 đồng

do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000

Answer:

x = -2

Step-by-step explanation:

x^2 + 4x + 4 = 0

quadratic formula:

-b +or- sqrt(b^2-4ac)/2a

-4 +/- sqrt ((-4)^2-4*1*4)/2*1

-4+/- sqrt(16-16) / 2

-4 +/- 0 / 2

-4/2

-2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

11/20 = 55/100 = 55%

9514 1404 393

Answer:

Step-by-step explanation:

In the US, a decimal point is represented by a period. This value is interpreted as an integer with no fractional part, so the fractional part is zero:

 12,963.00

__

Some other places, a comma is used to identify the beginning of the decimal fraction. In that form, this number has a fractional part that has 3 as its thousandths digit. The value of 3 is less than 5, so the number is simply truncated at the hundredths place.

  12,96

If the thousandths digit were 5 or greater, then 1 hundredth would be added to the truncated number.

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

Expand the expression as

(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵

… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵

Then taking the inverse transform, you get

LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]

… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]

… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]

… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴

Answer: Y=10.76 √(x-9.12)+43.64

Step-by-step explanation:

Answer:

5 x 4 = 20.

Step-by-step explanation:

5 + 5 = 10

5 + 10 = 15

5 + 15 = 20!

Please mark brainliest!

- KanaKittyKat

Answer:

5 x 4 = 20

5 + 5 + 5 + 5 = 20

Answer:

it can be any number1234567890

Second question isn't well formatted

Answer:

Number of republicans = 207

Number of democrats = 245

Step-by-step explanation:

Let :

Number of republicans = x

Number of democrats = x + 38

Total number of representatives from the two parties = 452

Tge number of representatives from each party can be calculated thus ;

Number of democrats + number of republicans = total number of representatives

(x + 38) + x = 452

x + 38 + x = 452

2x = 452 - 38

2x = 414

x = 414 / 2

x = 207

Number of republicans = 207

Number of democrats = 207 + 38 = 245

Answer:

Step-by-step explanation:

A trig identity is tan(x) = sin(x)/cos(x) so

tan(A) = (4/7)/(3/7) = 4/3

Answer:

72°

Step-by-step explanation:

[tex] m\angle \: 6 = m \angle \: 8 \\ (corresponding \: \angle s) \\ m\angle \: 8 = 72 \degree \\ \therefore \: m\angle \: 6 = 72 \degree \\ \\ m\angle \: 14 = m \angle \: 6 \\ (corresponding \: \angle s) \\\therefore \: m\angle \: 14 = 72 \degree [/tex]

Answer:

my answer is in the image above

Answer:

[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]

[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]

[tex]\frac{20-x}{x} =3[/tex]

[tex]20-x=3x[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

[tex]So, CD=5[/tex]

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