5 Complete the table. Rounded to the nearest 10 100 1,000 10,000 100,000 1,000,000 3,147,283 68,547 69,000 1,656,908 900,571​

The given statement: " all polynomials are rational functions but not all rational functions are polynomials." is true; its counterexample will be: Not all polynomials are rational functions but all rational functions are polynomials.

Polynomial refers to an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

Now,

Further,

Hence, The given statement: " all polynomials are rational functions but not all rational functions are polynomials." is true; its counterexample will be: Not all polynomials are rational functions but all rational functions are polynomials.

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Answer: 4^15

Step-by-step explanation:

(4^3)^5=

4^(3*5)=4^15

1/3 is equal to 0.3333333...

1/10 is equal to 0.1

If you subtract the two you will get a fraction equal to 0.23333333...

[tex]\frac{1}{3} - \frac{1}{10} \\\\[/tex]

Get a common denominator

[tex]= \frac{10}{30} - \frac{3}{30}[/tex]

Then combine them

[tex]= \frac{10-3}{30}\\\\= \frac{7}{30}[/tex]

Your answer is [tex]\frac{7}{30}[/tex]

Answer:

$4.80. Per lbs

Step-by-step explanation:

Answer:

4.80$

Step-by-step explanation:

24 divided by 5 is 4.8

The correct answer for given question is 6.

If every element of a non-empty set X has only one image or range to a non-empty set Y, a relation 'f' is said to be a function.

Or

If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of x and x is the preimage of y under function f. It is written as;

f: X → Y.

In accordance with the conditions stated in the question:

f(x) = 3x^2 and g(x) = 4x^3 + 1

The composition of functions is defined as fog(x) = f(g(x)), where the input for the function f(x) is the actual expression of the function g(x) in terms of "x":

f(g(x)) = f(4x^3 + 1)

f(g(x)) = 3(4x^3 + 1)^2

f(g(x)) = 3(4x^3 + 1) (4x^3 + 1)

f(g(x)) = 3(16x^6 + 8x^3 + 1)

f(g(x)) = 48x^6 + 24x^3 + 3

Therefore, the degree of the given expression is 6 (the highest power of the variable ‘x’)

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Trina should buy the $6 packages to get 24 necklaces for the least price as calculated by using multiplication and division.

From the attached table let us calculate the cost of buying necklaces in the various packages by using multiplication and division.

For the $4 package:

Number of necklaces in the package = 3

Number of packages Trina should buy (division used) = 24 ÷ 3 = 8

Cost of 8 packages =$ 4 × 8 = $ 32

For the $5 package:

Number of necklaces in the package = 4

Number of packages Trina should buy(division used) = 24 ÷ 4 = 6

Cost of 8 packages =$ 5 × 6 = $ 30

For the $6 package:

Number of necklaces in the package = 6

Number of packages Trina should buy(division used) = 24 ÷ 6 = 4

Cost of 8 packages =$ 6 × 4 = $ 24

Therefore buying the $24 package is the cheapest.

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The equation of the area of the circle (x - 4)^2 + (y + 1)^2 = 9, that is, option B.

The standard form of an equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where, r = radius of the circle and (h, k) are the coordinates of the center of the circle.

Here, we are given that a circle is centered at (4,-1) and has a radius of 3.

Thus, r = 3

h = 4

and k = -1

Therefore, the equation of the circles will be-

(x - 4)^2 + (y - (-1))^2 = 3^2

(x - 4)^2 + (y + 1)^2 = 9

Thus, option B, (x - 4)^2 + (y + 1)^2 = 9 is the correct option.

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Answer:

B

Step-by-step explanation:

23/1000

->What do you do in division you move the decimal to the left

  by looking at the zeros in the denominator.

-> 3 zero so move the decimal to the right 3 times

   so the answer will be 0.023

Answer Is B as 23/100 is also 0.23 (Two Zeros Shift)

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Ian drove 192 miles with 6 gallons

The first step is to calculate the number of miles he drove with one gallon

224= 7

x=1

cross multiply

7x= 224

x= 224/7

x= 32

The number of miles he drove with 6 gallons can be calculated as follows

32= 1

y= 6

cross multiply

y= 32 × 6

= 192

Hence he drove 192 miles with 6 gallons

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Answer: 31 times

Step-by-step explanation:

Answer:

$31.6666667

Step-by-step explanation:

$64 - $16.50 =$47.5

$47.5÷$1.50 =$31.6666667

i used a calculator

Answer here:

Explanation here:

Answer:

18

Step-by-step explanation:

value of x 10

10x-12=10*10-12

=32

Answer:

answer [-19]d + [4]p +[2]

Answer:

[tex]-9d-4p-6-10d+8=-19d-4p+2[/tex]

Step-by-step explanation:

[tex]-9d-4p-6-10d+8[/tex]

[tex]=-9d-10d-4p-6+8[/tex]

[tex]=-19d-4p-6+8[/tex]

[tex]=-19d-4p+2[/tex]

So the answer would be -19d-4p+2

hopefully this helps you ~

Answer:Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 12 steps forward, and Shaunte walked 8 steps backwards. Which expression correctly represents the distance between the friends?      The answer is b 12 + -8=20

Step-by-step explanation:

Answer: f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Step-by-step explanation:

Both are quadratic equations: -x^2 or x^2

Blue graph: x^2 since it's facing up

f(x)=(x-b)^2

Vertex: When x=-1, y=0 ==> 0=(-1+b)^2

0=-1+b

b=1

f(x)=(x+1)^2

f(x)=(x+1)(x+1)

f(x)=x^2+x+x+1

f(x)=x^2+2x+1

Red graph: -x^2 since it's facing down

g(x)=-x^2+b

Vertex: When x=0, y=1 ==> 1=(0)^2+b

1=0+b

b=1

g(x)=-x^2+1

f(x)=x^2+2x+1 and g(x)=-x^2+1 ==> 1st option

Answer:

Step-by-step explanation:

The points up to now are

94+82+87−2=261

Explanation:

Kiko must make up the difference:

360−261=99

points.

The measure in linear-regression analysis that provides the percent of variation in the dependent variable as explained by the regression equation is the Coefficient of Determination.

This is a measure that allows us to see just how much the variation in the dependent variable, is as a result of the independent variable and is therefore explained by the regression equation.

The Coefficient of Variation is very important because it helps to show the usefulness and accuracy of the regression equation model.

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The parallel lines are y = 2x + 3 and y = 2x - 5

The given equations are linear equations

Linear equations are represented as

y = mx + c

Where the slope of the linear equation is

Slope = m

Linear equations that have the same slope are parallel

This means that y = mx + c and y = mx + b are parallel lines because the slopes of the linear equations is m

Using the above as a guide, the parallel lines are y = 2x + 3 and y = 2x - 5

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Answer:

149.08

Step-by-step explanation:

9,589+5,319= 14,908

14,908 in decimal form is 149.08

therefore, your answer is 149.08

Answer:

AB and CD are parallel lines

Step-by-step explanation:

Parallel lines are the lines that do not intersect or meet each other at any point in a plane which ,ezns AB and CD are parallel

Answer:

1. 5h

2. 4h

3. h

4. ht

5. hx (x + 1)

Step-by-step explanation:

Answer:   [tex]6\sqrt{3}[/tex]

Reason:

For any 30-60-90 triangle, the long leg is exactly [tex]\sqrt{3}[/tex] times as long compared to the short leg.

In other words,

[tex]\text{long leg} = (\text{short leg})*\sqrt{3}[/tex]

In this case, the short leg is 6 units long. The short leg is always opposite the smallest angle 30 degrees. Once again, this only applies to 30-60-90 triangles.

The present ages of Ann and Julie are 12 years and 8 years, respectively.

Let x, y be the current ages of Ann and Julie, whose features are synthetized in the following linear equations:

Ann is 4 years older than Julie

x = y + 4

x - y = 4                                (1)

4 years ago, Ann was twice as old as Julie

x - 4 = 2 · (y - 4)

x - 4 = 2 · y - 8

x - 2 · y = - 4                         (2)

Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations: (x, y) = (12, 8)

The present ages of Ann and Julie are 12 years and 8 years, respectively.

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Answer:

The nearest whole number is 830.

We have a three digit -  829.9.

We have to convert it into nearest whole number.

Step-by-step explanation:

Answer:

M/paws= (3x-3) and m/rqs

=(x+19).

the value of x is

Step-by-step explanation:

Answer: Jacob sold 20 cards

Step-by-step explanation: