Simplify the following polynomial expression. A. B. C. D.
(5x^4-9x^3+7x-1)

Here is the work and explained sentence :)

Answer:

Step-by-step explanation:

(f•g)(x) = f(g(x)) = f(1/x) = 1/x +7

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

and

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the smaller cube

y ----> the perimeter of the larger cube

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

in this problem we have

[tex]z=\frac{2}{5}[/tex] ----> scale factor

substitute

[tex]\frac{x}{y}=\frac{2}{5}[/tex]

u just divide 4,632 by 20,000

Answer:

-15368

Step-by-step explanation:

Answer:

a)26,31,36

Step-by-step explanation:

add by 5

26, 31, 36  next three terms in the sequence.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Given

a = 6

d = 11-6 = 5

aₙ = a + (n-1)d

n = 5, 6, 7

a₅ = 6 + (5-1)5

a₅ = 6 +20 = 26

a₆ = 6 + (6-1)5

a₆ = 6 +25 = 31

a₇ = 6 + (7-1)5

a₇ = 6 +30 = 36

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Answer: x² + y² - 2x - 8y + 13 = 0

Step-by-step explanation:

the equation of the circle is in the form (x - a)² + (y - b)² = r²

where (a,b) is the center of the circle and r is the radius

      hence the equation is

                         (x - 1)² + (y - 4)² = 2²

                         x²-2x+1+y²-8y+16= 4

                         x²+ y² -2x- 8y + 17 =4

                         x² + y² - 2x - 8y = -13

                          x² + y² - 2x - 8y + 13 = 0

Answer:

The larger square is 6 cm on a side

Step-by-step explanation:

Let x = the side of square 1

Let y = side of square 2

A= s^2

Area of square 1 = x^2

Area of square 2 = y^2

The total area of both squares = x^2 +y^2 = 45

We know that y = 2x

Substituting in

x^2 + (2x)^2 = 45

x^2 +4x^2 = 45

5x^2 = 45

Divide each side by 5

5x^2/5 = 45/5

x^2 = 9

Take the square root of each side

sqrt(x^2) = sqrt(9)

x = 3

y = 2x = 2(3) = 6

The larger square is 6 cm on a side

Answer:

Slope 0: second graph

slope less than 0: fourth graph

slope undefined: fifth graph

slope greater than 1: third grpah

Step-by-step explanation:

Answer:

slope 0: second on the red line on top

less than 0: 4th graph \

undefined:5th graph |

greater than 1: first one /

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The median is the # in the middle, and since 3 is used 3 times, it´s the most used # and is in the middle

[tex]\huge{\boxed{3}}[/tex]

The median is the middle number when the numbers are arranged least to greatest, which they already are.

Take numbers away two at a time, one from the front and one from the back.

1,2,3,3,3,8,8,11,15

2,3,3,3,8,8,11

3,3,3,8,8

3,3,8

This means that the median is [tex]\boxed{3}[/tex]

Answer: 12 blue marbles

Step-by-step explanation: Set up a proportion.

4/5 = x/15

Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x

Divide by 5 on each side.

x = 12

There are 12 blue marbles.

Answer:distance=(3,3)

Step-by-step explanation:

5-2=3

Answer:

The answer is 3 square root 2.

Step-by-step explanation:

Using the distance formula and you will get 4.242...... and then you will get 3 square root 2.

13 is prime because there is only 1 factor 1 and 13.

Answer:

prime

Step-by-step explanation:

Answer:

Step-by-step explanation:19.5+16.87+4.02+2

=42.39$

So, you just have to recognize the line splitting the circle in half, line LJ.  So, if JC (arc) is 94, then do 180-94=86.  ∠LJC is an inscribed angle, so it's half of 86, which is 43°.

43° is your answer.

Answer:

Final answer is  [tex]a_0=-9[/tex]

Step-by-step explanation:

Given equation is [tex]5-a_0=14[/tex]

Now we need to solve the given equation [tex]5-a_0=14[/tex] for the unknownd variable  [tex]a_0[/tex] .

We can do that by isolating [tex]a_0[/tex]

To isolate [tex]a_0[/tex], let's subtract 5 from both sides

[tex]5-a_0-5=14-5[/tex]

[tex]-a_0=9[/tex]

multiply both sides by -1

[tex]-a_0(-1)=9(-1)[/tex]

[tex]a_0=-9[/tex]

Hence final answer is  [tex]a_0=-9[/tex]

Answer:

At the beginning

16 men and 24 women

In the end

16 men and 20 women

Step-by-step explanation:

Call x the number of men on the bus and call y the number of women on the bus.

We know that the initial ratio between men and women is 2: 3

And the final ratio is 4: 5

So

[tex]\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x[/tex]   (1)

After the 4 women are down, the proportion is:

[tex]\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4[/tex]   (2)

Substitute the value of y in the first equation and solve for x

[tex]\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men[/tex]

Now solve for y.

[tex]y = \frac{3}{2}(16)\\\\y=24\ women[/tex]

Then at the end there were

[tex]y = 24-4 = 20[/tex] women

Answer:

The solution is incorrect and the equation has 1 solution

Step-by-step explanation:

Malia subtracted 6 instead of dividing by 6.

correct solution:

6x=48

x=48/6

x=8

ANSWER

P(n)=2n-125

EXPLANATION

Profit equals selling price minus cost price.

P(n)=R(n)-C(n)

The cost price is given by the function;

C(n)= 2n + 125

The selling price is represented by the function:

R(n)=4n

The function that represents the profit function is :

P(n)=4n-(2n+125)

Expand

P(n)=4n-2n-125

Simplify:

P(n)=2n-125

Answer:P = 2n – 125

Step-by-step explanation: Ur welcome <3

The answer is 16, good luck

Maybe 2??? tell me if right.

Solve by using Pythagoras triangle concept

x^2 + 15^2 = (9+x)^2

x^2 + 225 = 81 + 18x + x^2

x^2 - x^2 + 225 - 81 = 18x

144 = 18x

144/18 = x

x = 8

Answer:

x = 8

Step-by-step explanation:

Since the triangle is right use Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 9)² = x² + 15² ← expand factor on left side

x² + 18x + 81 = x² + 225 ( subtract x² from both sides )

18x + 81 = 225 ( subtract 81 from both sides )

18x = 144 ( divide both sides by 18 )

x = 8

Answer:

1/9

Step-by-step explanation:

1/3 times 1/3 = 1/9

The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Jesse has a bottle of lemonade

The lemonade is 1/3 empty

So , the amount of lemonade left in the bottle is = 1 - 1/3

                                                                                = 2/3

The number of friends Jesse shares the lemonade with = 3 people

So , the total number of people = 4 people

Now , the equation will be

Total lemonade each person get =
Amount of lemonade left in the bottle / total number of people

Total lemonade each person get = ( 2/3 ) / 4

                                                       = 2/12

                                                       = 1/6

                                                       = 0.1667

Hence , The fraction of lemonade bottle each of them get is 16.67/100 or 16.67 %

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The answer will be 48 is the area if the square

The system of equations is

X+y=70

X-y=36

Where x and y are the two numbers

X=36+y ( from second)

36+y+y=70;

2y=70-36;

y=17

X+17=70

X=70-17=53

Numbers are 17, 53.

20 children can get a serving of popcorn

Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.

The answer is 20 because first you have to set up a division equation. It would be 5 divided by 1/4.You can’t divid with a fraction so you must change it into a multiplication sentence. The new equation would now be 5 times 4/1 and the answer would be 20. Therefore, Ms.Chloe can freed 20 children.

Answer:

[tex]m=-\frac{26}{83}[/tex]

Step-by-step explanation:

Since you are asking for the value of [tex]m[/tex], it is reasonable to assume that we are dealing with an equation here and you forgot to type the equal sign. Given that, I assume our equality is [tex]38=12-m-82m[/tex]. Let's solve it step-by-step:

Step 1. Subtract 12 from both sides of the equation

[tex]38-12=12-12-m-82m[/tex]

[tex]26=-m-82m[/tex]

Step 2. Combine like terms (m terms)

[tex]26=(-1-82)m[/tex]

[tex]26=-83m[/tex]

Step 3. Using the reflexive property of equality: if a = b, then b = a

[tex]26=-83m[/tex]

[tex]-83m=26[/tex]

Step 4. Divide both sides of the equation by -83

[tex]\frac{-83m}{-83} =\frac{26}{-83}[/tex]

[tex]m=-\frac{26}{83}[/tex]

We can conclude that the value of m is [tex]-\frac{26}{83}[/tex].

Next time be more careful writing your question :)

D. is the answer.

your welcome hunty

Answer:

Step-by-step explanation:

Actually, none of the posted possible answers is correct.  The slope of the horizontal line is zero, whereas the slope of the given equation is 8.  There is no number which, when multiplied by 0, results in a non-zero product.

However, if we are ADDING instead of multiplying, then the correct number is 8, because 0 + 8 = 8.

[tex]\text{Hey there!}[/tex]

[tex]\text{Evaluate:\ }\bf{4x^3+4x}\text{ if x = 3}[/tex]

[tex]\text{If we know what the x-value is then replace the x with 3}[/tex]

[tex]\bf{4(3)^3+4(3)}[/tex]

[tex]\bf{4(3)^3+12}[/tex]

[tex]\text{4 = 4}[/tex]

[tex]\bf{3^3=27}[/tex]

[tex]\text{4(3) = 12}[/tex]

[tex]\text{4(27) + 12}[/tex]

[tex]\text{4(12)=108}[/tex]

[tex]\text{108 + 12 = 120}[/tex]

[tex]\boxed{\boxed{\text{Answer: 120}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y-3=1/2(x-1).

To get from point slope to slope intercept, distribute the slope

y-3 = 1/2 x -1/2

Then add 3 to each side

y-3+3 =1/2 x -1/2 +3

y = 1/2x +2 1/2

Or if we want the last term as an improper fraction

y = 1/2x + 5/2

Solution:

Let Required length of breadth be x

Now, We have ;

So, Length of Rectangle = x + 46

Length of Rectangle = 64 + 46

Length of Rectangle = 110 inches

Now, Breadth of Rectangle = 64 inches.

Answer:

Length = 109 inches and width = 64 inches

Step-by-step explanation:

Perimeter = 2(length + width)

Let the width of the rectangle be 'w' inches

Length of the rectangle would be = 45+w inches

2((45+w)+w) = 346

2(45+2w) = 346

90 + 4w = 346

4w = 346 - 90

4w = 256

w = [tex]\frac{256}{4}[/tex]

w = 64 inches

Length = 45 + 64 = 109 inches

Length = 109 inches and width = 64 inches

Answer:

13.6

Step-by-step explanation:

"A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm"

Down to the nearest .1 centimeter means round to the nearest .1, so the solution is 13.6cm

A ruler that can measure to the nearest 0.1cm would be able to accurately measure a wire of 13.58cm up to 13.5cm. The remaining 0.08cm cannot be measured accurately by this ruler.

In this context, the term 'precision' refers to the smallest measurement that can be reliably marked by an instrument. Given that the ruler can measure to the nearest 0.1 centimetre, the most precise measurement the ruler can make is till decimals of one place. Therefore, for a wire measuring 13.58cm, the ruler will be able to precisely measure till 13.5cm. The wire's length of '0.08cm' beyond '13.5cm' cannot be accurately measured with this ruler as it doesn't have markings to measure in this range.

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