Algebra Find the value of x.

Recall that domain is in x axis

Thus from the graph we can see,

the domain is  x ≥ -1   and x ≤ 3

Thus final domain: -1 ≤ x ≤ 3

Answer:

[tex]\textsf{domain:}\quad-1\leq x\leq 3[/tex]

[tex]\textsf{range:}\quad\dfrac{16}{3}\leq y\leq 27[/tex]

Step-by-step explanation:

Information

Domain of a function: set of all possible input values (x-values)

Range of a function: set of all possible output values (y-values)

Closed circle:  less than or equal to and greater than or equal to (≤ or ≥).

Open circle: less than or greater than (< or >)

Domain

There is a closed dot at x = -1 and x = 3

Therefore, the domain is -1 ≤ x ≤ 3

Range

To calculate the exact range, we need to figure out the equation of the function (as it is difficult to read the exact value of y at x = -1).

From inspection of the graph, we can identify the following ordered pairs:

(1, 12)  (2, 18)  (3, 27)

General form of an exponential equation: [tex]y=ab^x[/tex]

Inputting the first two ordered pairs into the exponential equation:

[tex]\implies ab^1=12[/tex]

[tex]\implies ab^2=18[/tex]

Dividing the equations to find b:
[tex]\implies \dfrac{ab^2}{ab^1}=\dfrac{18}{12}[/tex]

[tex]\implies b=\dfrac32[/tex]

Inputting b into the first equation to find a:

[tex]\implies \dfrac32a=12[/tex]

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

Therefore, the equation of the function is: [tex]y=8\left(\dfrac32\right)^x[/tex]

Input  [tex]x = -1[/tex]  into the equation to find y:

[tex]\implies 8\left(\dfrac32\right)^{-1}=\dfrac{16}{3}[/tex]

Therefore, the range is [tex]\dfrac{16}{3}\leq y\leq 27[/tex]

[tex]\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}[/tex]

Answer:

ITS (B) 30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The conjugate of given complex number is ~

[tex]\qquad \tt \dashrightarrow \: \overline{z} = - 12i[/tex]

Conjugate of a complex number is the same number with its imaginary part having opposite sign.

Eg. if z = a + i b

Then it's Conjugate = a - i b

Answer:

The quantity we sold more than the competitors is 161.

What are percentages?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

How much more did we sell?

Quantity sold more = percentage sold more x number sold by competitors

46% x 350

0.46 x 350=161.

Answer:

  A.  -3

Step-by-step explanation:

We recognize the given equation as being in point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

Comparing that to the given equation ...

  y -5 = -3(x -17)

we see that m = -3.

The slope of the line is -3.

Answer:

Mean - 7.4

Median - 8.5

Mode - 9

Step-by-step explanation:

Mean - add up all of the numbers = 74

then divided by the numbers of numbers (10 numbers) (74/10) = 7.4

Median - the middle number of the data set

Mode - the number most frequent

This is the list of choices that accompany that question:

A) The number is greater than 2. ---> FALSE BECAUSE IT INCLUDES GREATER THAN 10, AND 10 IS THE LAST NUMBER OF THE SET.

B) The number is not divisible by 5. ----> FALSE BECAUSE 10 IS DIVISIBLE BY 5.

C) The number is even or less than 12. ---> THIS CAN BE RIGHT BECAUSE 1) ALL THE NUMBERS SHOWN ARE EITHER EVEN OR LESS THAN 12 AND THE DEFINITION, AND 2) THE DEFINITION DOES NOT INCLUDE A NUMBER OUT OF THE NUMBERS SHOWN.

D) The number is neither prime nor composite. ---> FALSE BECAUSE ANY NUMBER IS EITHER PRIME OR COMPOSITE.

E) The square root of the number is less than 3. ---> FALSE BECAUSE THE SQUARE ROOT OF 10 IS GREATER THAN 2.

Answer:

11.3 ft

Step-by-step explanation:

[tex]V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)[/tex]

Since, gravel is in the shape of right circular cone.

[tex]\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft[/tex]

Answer:

It is Statistical. Karissa would have to count how many boogers she has in her left nostril.

Step-by-step explanation:

.

The given question is not a statistical question.  So, option (B) is correct. Since this is not related to any other data and there is no variation with the previous data, this is not a statistical question.

The statistical question is a question that can be answered by collecting data and there will be a variation in the data used for calculating.

Given that " How many boogers does Karissa the orge have in her left nostril?"

This question does not need any collection of data. So, this is not a statistical question.

Therefore, option B is correct.

Learn more about the statistical question here:

https://brainly.com/question/12150562

#SPJ2

Answer:

0.15 cubic meters

Step-by-step explanation:

Formula volume = π x radius² x height

Answer

πr2h

Step-by-step explanation:

What do 12y and 8y represent?  You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.

[tex]y=-6x+12\\\\\text{When}~ x = -1\\\\y=-6(-1)+12 = 6+12 = 18[/tex]

Answer:

59.55555555555556

Step-by-step explanation:

Answer:

B   or  C

Step-by-step explanation:

B area =  2 ( 6 x5 + 5 x 4  + 4 x 6) = 148 square feet

C area = 2 ( 8x3 + 3x7 + 7x8) = 202 sq ft

Answer:

$319.60

Step-by-step explanation:

Normal Game console cost : $399.50

Discount: %20 (0.20)

$399.50×0.20= $79.90

Total cost of discount $79.90

$399.50-$79.90= $319.60

New cost after Discount= $319.60

Answer:

102cm^2 - hope this helps

Step-by-step explanation:

find the area of the rectangle first in the middle

which equals 6 x 13 = 78cm^2

then find the traingles on the side

(6 x 4) / 2 = 12

there are 2 traingles so it would be 12 + 12 = 24

so all together the area would be 78 + 24 = 102cm ^2

Answer:

Step-by-step explanation:

To solve this problem, you need to determine the volume of the prism.

Volume of the prism formula:

[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]

Multiply them all together.

[tex]\sf{8*15.2*5.8=\boxed{\sf{705.3}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Option D, [tex]705.3\ cm^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of a rectangular prism

[tex]V = l * w * h[/tex]

[tex]V = (15.2\ cm) * (8\ cm) * (5.8\ cm)[/tex]

[tex]V = 705.28\ cm^3[/tex]

Answer:  Option D, [tex]705.3\ cm^3[/tex]

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substitute given values into the equation:

[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]

[tex]\implies y=8000(1.045)^x[/tex]

So the graph will have a y-intercept of (0, 8000)

Answer:

x=11 and t=6

Step-by-step explanation:

If ABC and KLM are approximately equal, 44 degrees=4x and 18 inches=3t.

44/4=11

18/3=6

Answer:

the answer is 4 i hoped this helped

Step-by-step explanation:

Answer:

  (x, y) = (2 35/74, 2 25/74)

Step-by-step explanation:

The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.

__

A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...

  b(x-h) -a(y-k) = 0

For the given line and point, the perpendicular line will be ...

  7(x -2) +5(y -3) = 0

  7x +5y -29 = 0

Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...

  Δ = (-5)(5) -(7)(7) = -74

  Δx = (7)(-29) -(5)(-4) = -183

  Δy = (-4)(7) -(-29)(-5) = -173

  x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730

  y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378

__

For more on the cross multiplication method, you can read ...

https://brainly.com/question/26397343

Answer:

44.452

Step-by-step explanation:

Using the Pythagorean theorem you can use:

51^2 = 25^2 + w^2

2601 = 625 +w^2

w^2 = 1976

w = 44.452

Answer:

The width is 44.5in.

Step-by-step explanation:

25^2 + b^2 = 51^2

625 + b^2 =2601

b^2= 2601-625=1976

Square root it (1976)

=44.45= 44.5

Answer:

How many players in the starting line up ???

If 1 then its 15 ways

If 2 then its 15 × 14 = ___

If 3 then its 15 × 14 × 13 = ___

Answer:

I try my best to give you answer

Answer:

B

Step-by-step explanation:

45 items is not a reasonable number, as the suitcase itself probably weighs about 20 pounds, and the likeliness of each item weighing about 1/2 a pound is unreasonable.

Answer:

The answer is 31.

Step-by-step explanation:

Since Beau's suitcase weighs 40 pounds he packed at least 35 items. Anything less than 35 items couldn't be possible.

See attachment. I got it right on my quiz:)

Answer:

78°

Step-by-step explanation:

the whole measure of a triangle =180° =3angles plus together

the 1st + 2nd angle = 90°+12°=102°

the 3rd angle = 180°-102°=78°

Answer:

12 m

Step-by-step explanation:

3 ⅔

= 3 + 2/3

= 9/3 + 2/3    { LCM = 3 }

= ( 9 + 2 ) / 3

= 11/3

In the diagram,

Length ( l )= x m

Breadth ( b ) = 3 ⅔ m = 11/3 m

Given that area of the rectangle = 44 m²

Formula : -

Area of the rectangle = lb

lb = 44

x * 11/3 = 44

x = ( 44 * 3 ) / 11

x = 4 * 3

x = 12 m

Therefore,

the missing length = 12 m

Answer:

Rosie has walked 163.8 kilometers by the 10th day,

Step-by-step explanation:

We know that the first day is 18 kilometers.

90% = 0.9

0.9 x 18 = 16.2

There are 9 more days

16.2 x 9 = 145.8

Now we add the first day

145.8 + 18= 163.8