Describe the transformation from f(x) = x⁴ to g(x) = (x - 2)⁴ - 3

Option b is true to match the vector field f with the given plot f(x, y)=x, -y

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

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The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

Answer:

Almonds cost $8 per pound and Cashews cost $10 per pound.

Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:

8a + 10c = 60

Only Cashews:

This means that Almonds would be zero.

8(0) + 10c = 60

10c = 60

c = 60/10

c = 6 pounds of cashews

Only Almonds

8 * a + 10(0) = 60

8a = 60

a = 60/8

a = 7.5 pounds of almonds

A mixture of both.

We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.

Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:

8 * 5 + 10c = 60

40 + 10c = 60

10c = 60 - 40

c = 20/10

c = 2 pounds of cashews

Answer:

B.  16

Step-by-step explanation:

x² − 8x = 10

x² − 8x + (-4)² = 10 + (-4)²

x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.

to finish the equation..

x² − 8x + 16 = 26

(x - 4)² = 26

\(\sqrt(x - 4)^2 = \sqrt{26}\)

x = \(\sqrt{26} + 4\)

x = \(4 - \sqrt{26}\)

Answer:

\(\Huge \boxed{\mathrm{B. \ 16}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(x^2-8x=10\)

The equation is in the form ax² + bx = -c. The value of b in the equation is -8.

To complete the square, we need to add (b/2)² = (-8/2)² =  -4² = 16 to both sides.

\(x^2-8x+16=26\)

Factoring left side of the equation.

\((x-4)^2 =26\)

Taking the square root of both sides.

\(x-4=\pm\sqrt{26}\)

Adding 4 to both sides.

\(x=4\pm\sqrt{26}\)

\(\rule[225]{225}{2}\)

Total tickets of a basketball game sold to students are 332 and total tickets sold to adults are 456.

Total number of sold tickets for a basketball game = 788

Total receipts for game = $1,400

Price of game tickets for an adults = $2.50/ticket

Price of game tickets for student = $1.25/ ticket

let us assume that total tickets sold to adults be "x".

Out of 788 , total tickets sold to students = 788 - x

Total money paid by adults = $2.50x

Total money paid by students = $1.25(778 - x)

Total money paid by adults and students will be equal to ($2.50x + $1.25(788 - x) ).

Total receipts for game is $1,400, so

$2.50x + $1.25(788 - x) = $1,400

which is a linear equation of one variable.

Now, we have to solve this equation

2.50x + 1.25×788 - 1.25x = 1,400

=> 1.25x + 985 = 1400

=> 1.25x = 1400 - 985 = 415

=> x = 415/1.25 = 332

So, total tickets sold to adults are 332 . Then,

total tickets sold to students = 788 - 332 = 456.

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Answer:

x equals -11

Step-by-step explanation:

all angles of a triangle have to add up to be 180°

a) The equation of the line of symmetry of the trapezium is x = 3.5.

b) The coordinates of M are (0, 0), C are (3.5, 0), and D are (4, 0).

c) The area of the trapezium can be calculated using the formula for the area of a trapezoid.

a) The line of symmetry of an isosceles trapezium passes through the midpoints of the non-parallel sides. Since the point M is the midpoint of CD and lies on the y-axis, the x-coordinate of M is 0. Therefore, the equation of the line of symmetry is x = 0.

b) Since M is the midpoint of CD, and M lies on the y-axis, the y-coordinate of M is 0. Therefore, M has the coordinates (0, 0).

To find the coordinates of C and D, we need to consider the properties of an isosceles trapezium. Since AB is parallel to CD, and 2CD = AB, the length of CD is half the length of AB. Thus, we can find the length of AB by using the distance formula:

AB = √((7 - (-1))^2 + (3 - (-3))^2) = √((8)^2 + (6)^2) = √(64 + 36) = √100 = 10

Therefore, CD = 10 / 2 = 5.

Since M is the midpoint of CD, CM = MD = 5 / 2 = 2.5.

Given that M is at (0, 0), C will have an x-coordinate of -2.5. The y-coordinate of C is 0 since it lies on the x-axis. Therefore, C has the coordinates (-2.5, 0).

Similarly, D will have an x-coordinate of 2.5 (since it is equidistant from C and M), and a y-coordinate of 0. Therefore, D has the coordinates (2.5, 0).

c) The area of a trapezium can be calculated using the formula: Area = (1/2) * (sum of the parallel sides) * height.

In this case, the parallel sides are AB and CD, both of which have a length of 10. The height of the trapezium is the distance between AB and CD, which is the y-coordinate of C or D, i.e., 0.

Therefore, the area of the trapezium is (1/2) * (10 + 10) * 0 = 0.

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Answer:

$7

Step-by-step explanation:

56/8 =7

Answer:

9 ( -10 - 10y )

Step-by-step explanation:

Answer:

3√6

Step-by-step explanation:

\( {a}^{2} = {b}^{2} + {c}^{2} \)

\( = {1}^{2} + {( \sqrt{53} )}^{2} \)

\( = 1 + 53\)

\( {a}^{2} = 54\)

\(a = \sqrt{54} = 3 \sqrt{6} \)

Answer:

3 quarter of 15

Step-by-step explanation:

Answer:

\(r = d \div 2 \\ to \: get \: the \: answer \: multiply \: \\ it \: by \: the \: perimeter \) r=4.997

Answer:

296,518.4 the one is in the tenths place sunce it's after the decimal

296,518,417 the first 1 in 518 is in the tenths place but the 2nd .. 1 is in the tens place bc no decimal

Answer: im guessing you want the definitions  lmk if im wrong.

Step-by-step explanation:

Trapezoid- Is a quadrilateral with only one pair of parallel sides.

Parallelogram-  Is a four-sided plane rectilinear figure with opposite sides parallel.

Really hope this helped!! :)

like I said if you wanted other answers lmk!

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Based on the given linear equations, the number of 7th-grade students and 8th-grade students is 120 students and 150 students respectively. Hence, Mia's solution is correct.

The value of h in the given linear equation is determined as follows:

9 rectangles = 270 students

1 rectangle = 30 students

7 + h = 11

h = 11 - 7

h = 4

The number of 7th-grade students and 8th-grade students is then determined as follows:

7th-grade students:

4 * 30 = 120 students

8th-grade students:

5 * 30 = 150 students

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The main memory process that accounts for Shayla's ability to retain the vocabulary she learned in her first semester Spanish class is long-term memory.

Long-term memory is a type of memory storage that has a vast capacity and can store information for extended periods of time, ranging from minutes to years. It allows for the encoding, storage, and retrieval of information that can be retained for a long duration.

In Shayla's case, the vocabulary she learned in her Spanish class is stored in her long-term memory, enabling her to access and retain that information even after the class has ended. Long-term memory plays a crucial role in the consolidation and retention of learned knowledge and experiences, contributing to the long-term retention of information.

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Answer:

The slope is negative, and m = -3/5

Step-by-step explanation:

The line is going down, so the slope is negative, and using the slope formula, m = -3/5.

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

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the expression equivalent to f(p+r) is 5p + 5r.

The expression equivalent to f(p+r), where f(x) = 5x, is 5p + 5r. To understand this, we substitute (p+r) into the function f(x):

f(p+r) = 5(p+r)

Next, we distribute the 5 to both p and r:

f(p+r) = 5p + 5r

This equivalent expression arises from the definition of f(x) = 5x, where the function multiplies any given input x by 5. In this case, we substitute (p+r) into the function, resulting in 5 multiplied by the sum of p and r. Consequently, the expression 5p + 5r represents the value obtained by applying the function f to the sum of p and r. It is important to note that the function f(x) = 5x implies a linear relationship, where the function scales the input by a factor of 5.

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Answer:

option b

Step-by-step explanation:

you can't take out anything, not an x or a 2

Answer: Owlgebra?

Step-by-step explanation: Math jokes are trash

Answer:

owlgebra

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

From the picture attached,

In the parallelogram ABCD,

Length of diagonals AC and BD are equal.

By the property,

"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".

Therefore ABCD is a rectangle.

That means all interior angles of the given rectangle will be 90°.

Now we apply Pythagoras theorem in right triangle ΔABC,

AC² = AB² + BC²

(22)² = (12)² + (BC)²

484 - 144 = (BC)²

BC = √340

BC = 18.44 inches

Dimensions of the given box are 12 inches by 18.44 inches.

Dimensions of the rectangular tray is 11.5 inches by 18 inches.

Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.

Therefore, Option D will be the answer.

if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

How do you know if a triangle is HL congruent?

Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

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Answer:

(2,4)

Step-by-step explanation:

The formula for a circle is ( x - h )^2 + ( y - k )^2 = r^2

From this formula the center of the circle is always (h,k)

For this question h=2 and k=4 so the center of the circle would be (2,4)

Answer:

first option

They will make the same amount in week 25

Step-by-step explanation:

Answer:

x=46°

Step-by-step explanation:

base angles in an isosceles triangle are equal

180-88 = 92°

92/2=46°

46 + 46 +88 = 180

Answer:

A triangle always will equal 180° degrees. Each other angle equals 46°.

Step-by-step explanation:

180° - 88° = 92°

92 ÷ 2 = 46°

Hope this helps :)

Answer:    6% sales tax rate

Step-by-step explanation:

In order to place 8 distinguishable rooks on an 8x8 chessboard without any of them being able to capture each other, you will need to ensure that each rook occupies a unique row and column.

Step 1: Place the first rook. There are 8 different locations to choose from (one in each row).
Step 2: Place the second rook. There are 7 remaining locations to choose from, as you cannot place it in the same row or column as the first rook.
Step 3: Place the third rook. There are 6 remaining locations to choose from, avoiding the rows and columns of the first two rooks.
Step 4: Continue this process until all 8 rooks have been placed.

To find the total number of ways to place the 8 distinguishable rooks, multiply the number of choices for each step:

8 (choices for rook 1) * 7 (choices for rook 2) * 6 (choices for rook 3) * 5 (choices for rook 4) * 4 (choices for rook 5) * 3 (choices for rook 6) * 2 (choices for rook 7) * 1 (choice for rook 8) = 40,320 ways.

To solve this problem, we can use the principle of multiplication. We start by placing the first rook in any of the 64 squares on the chessboard. There are 64 choices for the first rook.

Next, we need to place the second rook in a location that is not attacked by the first rook. Since rooks can attack any square in the same row or column as them, we need to choose a square that is not in the same row or column as the first rook. There are 7 rows and 7 columns remaining, so there are 14 squares in which the second rook can be placed.

For the third rook, we need to choose a location that is not attacked by either the first or second rook. This means we need to choose a square that is not in the same row or column as the first two rooks. There are 6 rows and 6 columns remaining, so there are 12 squares in which the third rook can be placed.

Continuing in this way, we see that the number of choices for the nth rook is equal to the number of rows and columns remaining after the (n-1)th rook has been placed. So, the total number of ways to place all 8 rooks on the chessboard is:

64 × 14 × 12 × 10 × 8 × 6 × 4 × 2 = 16,777,216

Therefore, there are 16,777,216 ways to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other.

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