what is the inverse of y=4x-16

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

Answer:a

Step-by-step explanation:

Volume of tissue box with 17 cm height and 8 cm side length base is 1088 cubic centimeters.

To find the volume of the tissue box, you can use the formula for the volume of a rectangular prism:

Volume = Base Area × Height

Since the base of the tissue box is a square, you can find the area of the base by squaring the side length:

Base Area = Side Length^2

Then, you multiply the base area by the height of the tissue box:

Volume = Base Area × Height

Let's plug in the values:

Side Length = 8 cm

Height = 17 cm

First, find the base area:

Base Area = 8 cm × 8 cm = 64 cm²

Then, calculate the volume:

Volume = 64 cm² × 17 cm = 1088 cm³

So, the volume of the tissue box is 1088 cubic centimeters.

The complete question is here:

A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm. What is the volume of a box of tissue?

Answer:(0,-4) , (0,0)

Step-by-step explanation:

It,s where the line intercepts on the graph on the x and y axis

Answer:

The intercepts are where the line passes either the x-axis or y-axis. So depending on which intercepts you're looking for, the intercepts on the x-intercepts (x-axis) are (-4,0) and (0,0). the y-intercepts (y-axis) is (0,0).

Step-by-step explanation:

Answer:

Probably that they are both the same length!

Answer:

they are congruent

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You count the boxes lol

Answer: C) 15 units 2

Step-by-step explanation: Count the number of squares! It is super easy!

3x-5y=8     2x+5y=22

Solve second equation for x; first subtract 5y from each side.

2x=-5y+22    (Divide by 2)

x=-5/2y+11   (Substitute into x into the first equation)

3 (-5/2y+11)-5y=8  (Simplify )

-15/2y +33-5y=8   (Combine like terms)

-25/2y+ 33=8   -25/2y=-25  (Divide each side by -25)

1/2y=1    y=2    Therefore 3x-5(2)=8   3x-10=8   3x=18   x=6

x=6, y=2

- Hope this helps!

Danielle xo

Answer:

[tex]a_0 = -8[/tex]

[tex]a_1=-6[/tex]

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Step-by-step explanation:

The equation of the circle has the following form

[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]

The equation of the circle has the following form

We know that the circle goes through the following points

(1, 7)

(8, 6)

(7, -1).

Then we substitute the values of x and y in the equation

For (1, 7)

[tex](1)^2 + (7)^2 + a_0(1) + a_1(7)=0[/tex]

[tex]1 + 49 + a_0 + 7a_1=0[/tex]

[tex]a_0 + 7a_1=-50[/tex]    (1)

For  (8, 6)

[tex](8)^2 + (6)^2 + a_0(8) + a_1(6)=0[/tex]

[tex]64 + 36 + 8a_0 + 6a_1=0[/tex]

[tex]8a_0 + 6a_1= -100[/tex]    (2)

With these equations is enough to solve the system

[tex]a_0 + 7a_1=-50[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

Multiply the equation (1) by -8 and add it to the equation (2)

[tex]-8a_0 - 56a_1=400[/tex]    (1)

[tex]8a_0 + 6a_1= -100[/tex]    (2)

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

[tex]-50a_1 = 300\\\\a_1 = -6[/tex]

Then

[tex]a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8[/tex]

Finally the equation is:

[tex]x^2 +y^2 -8x - 6y = 0[/tex]

Answer:

A. (0, 7)

Step-by-step explanation:

y=7

All values of y are equal to 7.

When x = 0, y = 7

The y intercept is 7

(0,7)

Answer:

The measure of the third angle is 25°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

Let

x----> the measure of the third angle

90°+65°+x=180°

Solve for x

155°+x=180°

x=180°-155°

x=25°

Answer:

(2x+3)^2

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

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

=4x^2+6x+6x+9

=4x^2+12x+9

The standard form of the given quadratic equation y = (2x + 3)^2 is y = 4x^2 + 12x + 9. This is achieved by applying the square of a binomial rule and simplifying.

The given equation is y = (2x + 3)^2. This is in the form of a squared binomial, which can be expanded and simplified into a standard form of a quadratic equation. The standard form of a quadratic equation is y=ax^2 + bx + c.

To convert the given equation into standard form, we need to apply the square of a binomial rule, which states that (A + B)^2 = A^2 + 2AB + B^2. Here, A = 2x and B = 3.

So, we can rewrite the equation as follows: y = (2x)^2 + 2*2x*3 + 3^2 = 4x^2 + 12x + 9. Therefore, the standard form of the given quadratic equation is y = 4x^2 + 12x + 9.

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Answer:

For example, the function [tex]y=x^{2}[/tex] does not have a y-intercept of (0, 1). To prove this, let's make x=0, and if the value of 'y' is different from 1, then, the graph does nt have a y-intercept of (0,1):

[tex]y=x^{2}[/tex] ⇒ [tex]y=(0)^{2}[/tex] ⇒ [tex]y=0[/tex]

Therefore, the y-intercept is at (0, 0) not (0, 1).

Answer:

300,000

Step-by-step explanation:

Answer:

300,000 is the nearest **hundred thousand.

Step-by-step explanation:

Read as nearest thousand lol.

Answer:

She will pay more

Step-by-step explanation:

because if you multiply 19x12 you get 228 which is more than 190.

Miss Lacey will pay more than $190 for a year of gym membership because 12 months multiplied by $19 per month equals $228, which is greater than $190.

To determine if Miss Lacey will pay more or less than $190 for a year of gym membership, we need to calculate the total cost for one year. Since a year has 12 months, and the membership cost is $19 per month, we multiply the monthly cost by the number of months in a year:

Annual cost = $19 per month × 12 months

Therefore, the annual cost is:

$19 × 12 = $228

Comparing the annual cost to $190, we find that Miss Lacey will pay more than $190 for a year of gym membership, since $228 is greater than $190. This calculation exemplifies a straightforward mathematical operation involving multiplication and comparison.

Answer:

The determinant of the matrix for the pineapple cake is $4350 ⇒  c

The determinant of the matrix for the chocolate cake is $5075 ⇒  c

Step-by-step explanation:

* Look to the attached file

Answer:

12

Step-by-step explanation:

Mary worked for 30 hours. This is calculated by first determining how many lamps Mia assembled, then subtracting this from the total to find out how many lamps Mary assembled. Finally, we divide the number of lamps assembled by Mary by her rate to find out how many hours she worked.

The question requires us to find out how many hours Mary worked if we know that together, Mary and Mia assembled 600 lamps, Mary assembles 10 lamps per hour, Mia assembles 12 lamps per hour, and Mia worked for 25 hours.

First, we can determine how many lamps Mia assembled by multiplying her working hours by her rate, resulting in 300 lamps (12 lamps per hour * 25 hours).

Next, we subtract the number of lamps assembled by Mia from the total to find how many lamps Mary assembled, resulting in 300 lamps (600 lamps total - 300 lamps assembled by Mia).

Finally, we can calculate how many hours Mary worked by dividing the number of lamps she assembled by her rate, resulting in 30 hours (300 lamps / 10 lamps per hour).

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All of them could be as A would be an equilateral B,C,D would be irregular triangles and 3 would be an Isosceles triangle but if you had to go with one it would be A

Answer: the answer is going to be A like other guy said was true

Step-by-step explanation: A

Answer: 5 5/6 feet per rotation

Step-by-step explanation:

d/t=175/30=5 5/6

Yea u have to do that the most effective is the 10 bc penny is right

The Yearling, a novel by Marjorie Kinnan Rawlings, tells of Jody's bond with a deer despite family conflict over crop damage.

Combining sentences 8 and 9:

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

Starting sentences with different parts of speech:

(1) One of my favorite novels is The Yearling.

(2) By Marjorie Kinnan Rawlings, it captures my imagination.

(3) About a yearling, which is a young deer or fawn, it unfolds.

(4) Taking place in Florida during the 1870s, it immerses readers in its setting.

(5) An interesting plot it possesses.

(6) During a hunting trip, a boy named Jody finds the yearling.

(7) Jody’s father, Penny, had shot the fawn’s mother without realizing that it had a baby.

(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.

(10) Finally, Penny orders Jody to get rid of the deer because it is destructive, but Jody refuses to obey his father.

Lengthening sentence 10 by adding detail:

(10) Finally, Penny, frustrated by the relentless destruction wreaked by the deer on their precious crops, sternly orders Jody to get rid of the deer, demanding obedience from his son. However, defying his father's command, Jody adamantly refuses to part ways with his beloved companion.

Answer:

(7, -2.4). (3,8,1) = 9

The vectors are not perpendicular

Step-by-step explanation:

The  inner product between two vectors A = {a, b, c} and B = {d, e, h} is:

[tex]A * B = a * d + b * e + c * h[/tex]

In this case the vectors are (7, -2,4) and (3,8,1). Then the product point is:

[tex](7, -2,4). (3,8,1) = 7 * 3 + (- 2) * 8 + 4 * 1\\\\(7, -2.4). (3,8,1) = 9[/tex]

The dot product between two vectors is equal to zero only if the vectors are perpendicular to each other.

In this case the dot product is nonzero, therefore the vectors are not perpendicular

Answer:

14 gallons

Step-by-step explanation:

First determine the amount of miles per gallon her car will go by dividing the amount of miles by the amount of gallons.

228/9.5 = 24 miles per gallon

This means on a trip of 336 miles she will use 14 gallons.

336/24= 14 gallons

I am pretty sure the answer would be (a)

Answer:

250 cubic cm

Step-by-step explanation:

First step is to measure the volume of the rectangular prism... which is easy... it's the width * length * height.  Since we have a square base, the width and length are the same: 5 cm.  The volume is then: 5 * 5* 12 = 300 cubic cm.

The volume of a pyramid is obtained by the following formula:

V = (1/3) * base_area * height

We have the base area (5 * 5 = 25) and we have the height: 6 cm (half of 12 cm).

So, the volume of the pyramid is:

V = (1/3) * 25 * 6 = (1/3) * 150 = 50 cubic cm

The volume inside the prism but OUTSIDE the pyramid is then the volume of the prism (300 cubic cm) - the volume of the pyramid (50 cubic cm), so 250 cubic cm.

Answer:

The weight of the larger marble paperweight is 4.05 lb

Step-by-step explanation:

we know that

If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube

Remember that the scale factor is the ratio between corresponding sides

Let

z ------> the scale factor

x -----> the weight of the larger marble paperweight

y -----> the weight of the original marble paperweight

[tex]z^{3} =\frac{x}{y}[/tex]

In this problem we have

[tex]z=3[/tex]

[tex]y=0.15\ lb[/tex]

substitute and solve for x

[tex]3^{3} =\frac{x}{0.15}[/tex]

[tex]x=(27)(0.15)=4.05\ lb[/tex]

therefore

The weight of the larger marble paperweight is 4.05 lb

If there are 10 orders for every 65 students, and there are 416 students, the total amount of orders would be:

(416/65) x 10

= 64

Therefore, 64 students will order/eat pizza in Miss Jenkins School

The answer is 64 students.

Hope this helps!

Answer:

y = (3/5)x + 3

Step-by-step explanation:

You can see immediately that the y-intercept is (0, 3).

As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3.  Thus, the slope of this line is m = rise / run = 3/5.

Starting with the generic y = mx + b, we get y = (3/5)x + 3.

Answer:

Y=3/2x-3

Step-by-step explanation:

3/2 is the slope. Remember, rise/run. so the rise is 3 and the run is 2. so up three since its positive and right 2 cuz its positive. and the -3 is the y inercept. hope this helps love :)

Answer:  Option B

[tex]F (x) = x ^ 4-x ^ 2 + 4[/tex]

Step-by-step explanation:

We have the function [tex]G (x) = x ^ 4-x ^ 2[/tex] and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0

Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).

The function F(x) cuts the y axis and y = 4.

For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.

The transformation that shifts the graph of a function k units upwards is:

[tex]F (x) = G (x) + k[/tex]

Where [tex]k> 0[/tex].

In this case k = 4. Therefore:

[tex]F (x) = G (x) +4\\\\F (x) = x ^ 4-x ^ 2 + 4[/tex]

The answer is Option B

Answer:

Option C.

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

we have

[tex]g(x)=x^{2}-576[/tex]

we know that

To find the zeros, equate the equation to zero

[tex]x^{2}-576=0[/tex]

[tex]x^{2}=576[/tex]

square root both sides

[tex]x=(+/-)24[/tex]

therefore

[tex]0=(x+24)(x-24)[/tex]

Answer:

C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Answer:

6

Step-by-step explanation:

The difference between the third quartile and first quartile is known as interquartile range.

The upper quartile is the median of upper half of the data.

The lower quartile is the median of lower half of the data.

Let's arrange in least to greatest:

4,5,6,6,7,8,9,9,10,10,12,12,14,15

The upper half of the data is 9,10,10,12,12,14,15

The median is the 4th number here, so 12. Thus, third quartile = 12

The lower half of the data is 4,5,6,6,7,8,9

The median is the 4th number here, so 6. Thus, first quartile = 6

Interquartile range (difference in third quartile and first quartile) = 12 - 6 = 6

Find the Greatest Common Factor (GCF)

GCF = 5x^2

Factor out the GCF. (Write the GCF first. Then in parenthesis, divide each term by the GCF)

5x^2(5x^4/5x^2 + 10x^3/5x^2 + -175x^2/5x^2)

Simplify each term in parenthesis

5x^2(x^2 + 2x - 35)

Factor x^2 + 2x - 35

= 5x^2(x - 5)(x + 7)

Answer: 48.6 degrees

Step-by-step explanation:

Here we use the sin(-1) which is opp/ hypt. We get the ratio of 3/4 and put in our calculator .75 sin(-1) and get the output 48.59, which is rounded to 48.6.