2p²q³×5pq÷10p³q⁴ PLEASE SOLVE THIS EQUATION WITH WORKING. THANK YOU!

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=-2x² and g(x)=x+4.

Now, (f·g)(x)=f(x)×g(x)

= -2x² ×(x+4)

(f·g)(x)= -2x³-8x²

Here, (g·f)(x)=g(x)×f(x)

= (x+4)×(-2x²)

(g·f)(x)= -2x³-8x²

Therefore, option A is the correct answer.

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Answer:

16in ^2

Step-by-step explanation:

4*4

Answer:

Area of rectangle is 16

Step-by-step explanation:

Area of rectangle = base, 4, times the height, 4

Area of rectangle = 4 times 4

Area of rectangle = 16

Answer:

x=-10

Step-by-step explanation:

3=-(4x+7)+3x

move all terms to the left:

3-(-(4x+7)+3x)=0

calculate terms in parentheses: -(-(4x+7)+3x), so:

-(4x+7)+3x

add all the numbers together, and all the variables

3x-(4x+7)

get rid of parentheses

3x-4x-7

add all the numbers together, and all the variables

-1x-7

Back to the equation:

-(-1x-7)

get rid of parentheses

1x+7+3=0

add all the numbers together, and all the variables

x+10=0

move all terms containing x to the left, all other terms to the right

x=-10

Answer:

2500

Step-by-step explanation:

Step 1:

( 25 × 43 ) + ( 25 × 57 )

Step 2:

1075 + 1425

Answer:

2500

Hope This Helps :)

Option 2

Step-by-step explanation:

[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]

Substitute values into the point slope form

y-y1 =m(x-x1)

y- 4= 4/5(x-5)

y -4= 4/5x -4

y= 4/5 x -4+4

y= 4/5x

Answer:

Step-by-step explanation:

f(x) = 8.3x + 8.1

To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x

That's

8.3x + 8.1 = 65.37

Subtract 8.1 from both sides

That's

8.3x + 8.1 - 8.1 = 65.37 - 8.1

8.3x = 57.27

Divide both sides by 8.3

[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]

We have the final answer as

Hope this helps you

Answer:

-37/24

Step-by-step explanation:

Answer:

b or 80

Step-by-step explanation:

80 is the average number of brown trout in the lake.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

given, Two samples were taken of fish caught on Small Lake and are shown in the table given.

Total fish were taken in both samples = 9 + 3+ 15 + 11 + 1 + 11

Total fish were taken in both samples = 50

Brown fish in both samples = 3 + 1

Brown fish in both samples = 4

Thus,

the average number of brown trout in the lake = 4/50 * 1000

Since there are 1000 fish in total in the lake

the average number of brown trout in the lake = 80

Therefore,  the average number of brown trout in the lake is 80.

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Complete question:

Answer:b

Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.

Answer: B

Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!

Answer:

The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .

Step-by-step explanation:

Answer:

y = -7x + 11

Explanation:

Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.

Answer:

I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.

Step-by-step explanation:

Answer:

12r^2 +r-7

Step-by-step explanation:

Answer:

b=(3x² – 5x – 2)

l=(2x² + 12x - 4)

perimeter= 2(l+b)

=2( 2x² + 12x - 4+3x² – 5x – 2)

=2(5x²+7x-6)

=(10x²+14x-12) units

Hope it helps:-)

Answer:

X=8

Step-by-step explanation:

First subtract the read pages with the unread pages which is 168.

Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8

Answer:

[tex]d = \sqrt{13}[/tex] or d = 3.61

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

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Answer:

The answer is -96

Step-by-step explanation:

First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.

I hoped that helped! You are welcome! :)

Answer:

It will last 8 days

Step-by-step explanation:

divide 5 1/3 by 2/3

Answer:

k = 16

Step-by-step explanation:

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Subtract 67 from both sides of the equation:

k + 67 = 83

k + 67 (-67) = 83 (-67)

k = 83 - 67

k = 16

16 is your answer for k.

~

Answer:

{x,y}={1,2}

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Answer:

.9274 is a integer

Step-by-step explanation:

rational numbers have to be able to be written as a fraction.

.9274 is not a whole number.

therefore it is an integer.

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

Answer:

b

Step-by-step explanation:

im 50% sure this write dont blame me man

The coordination of the ship's position at noon will be (0.5,2).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. they are typically expressed by the x-value and y-value pairs (x,y).

As per the given L(-4,7) and B(5,-3)

The midpoint of the above coordinates will be given as,

x = (-4 + 5)/2 = 1/2

y = (7 - 3)/2 = 2

Thus, (0.5,2) will be the location of the ship.

Hence "The coordination of the ship's position at noon will be (0.5,2)".

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The missing photo is attached below,

which number is irrational? 25.23 is irrational because 8 is a rational number.

Answer:

None

Step-by-step explanation:

First let's define the meaning of irrational.

It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)

25.23 is rational and 8 is also rational.

Answer:

-6 degrees F

Step-by-step explanation:

We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.

Answer:

The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6

Answer:

-2/3

Step-by-step explanation:

Step 1:

-1/3 ÷ 1/2

Step 2:

-1/3 × 2/1

Answer:

-2/3

Hope This Helps :)

Answer:

The number is 27

Step-by-step explanation:

let the number be x

3/4 ( 7-x)=-15

21/4 - 3/4x=-15

collect like terms

-3/4x=-15-21/4

-3/4x=-81/4

divide both sides by -3/4

x=27