Archie can buy 5 buckets of popcorn and 2 drinks for $16.25. Terry can buy 3 buckets of popcorn and 1 drinks for $9.50. Assume that all buckets of popcorn are the same price and all drinks are the same price.

[tex](f+g)(x)=x+8+4x-3=5x+5[/tex]

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

[tex](x-3)(2x^2-5x+1)[/tex]

Distributive property will be used for the product:

[tex]x(2x^2-5x+1)-3(2x^2-5x+1)\\[/tex]

Multiplication will give us:

[tex]=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3[/tex]

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

Answer:

The product is 2x³ - 11x² + 16x - 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to find the product of binomial by trinomial

- If (ax² ± bx ± c) and (dx ± e) are trinomial and binomial, where

 a , b , c , d , e  are constant, their product is:

# Multiply (ax²) by (dx) ⇒ 1st term in the trinomial and 1st term in the  

 binomial

# Multiply (ax²) by (e) ⇒ 1st term in the trinomial and 2nd term in

the binomial

# Multiply (bx) by (dx) ⇒ 2nd term the trinomial and 1st term in  

the binomial

# Multiply (bx) by (e) ⇒ 2nd term in the trinomial and 2nd term in    the binomial

# Multiply (c) by (dx) ⇒ 3rd term in the trinomial and 1st term in  

 the binomial

# Multiply (c) by (e) ⇒ 3rd term the trinomial and 2nd term in  

the binomial

# (ax² ± bx ± c)(dx ± e) = adx³ ± aex² ± bdx² ± bex ± cdx ± ce

- Add the terms aex² and bdx² because they are like terms

- Add the terms bex and cdx because they are like terms

* Now lets solve the problem

∵ The binomial is (x - 3) and the trinomial is (2x² - 5x + 1)

∴ (x)(2x²) = 2x³

∵ (x)(-5x) = -5x²

∵ (x)(1) = x

∵ (-3)(2x²) = -6x²

∵ (-3)(-5x) = 15x

∵ (-3)(1) = -3

∴ (x - 3)(2x² - 5x + 1) = 2x³ + -5x² + x + -6x² + 15x + -3

- Add the like terms

∵ -5x² and -6x² are like term

∴ Their sum is -11x²

∵ x and 15 x are like terms

∴ Their sum = 16x

∴ (x - 3)(2x² - 5x + 1) = 2x³ - 11x² + 16x - 3

* The product is 2x³ - 11x² + 16x - 3

Answer:

B

Step-by-step explanation:

We basically want to find the volume of this cylinder.

The volume of a cylinder is given by the formula  [tex]V=\pi r^2 h[/tex]

where r is the radius and h is the height.

We plug the info given and find the volume:

[tex]V=\pi r^2 h\\V=\pi (0.28)^2 (0.83)\\V=0.20[/tex]

Correct answer B

Answer:

see explanation

Step-by-step explanation:

Note that 9x² and 49y² are perfect squares.

9x² = (3x)² → 3x is the first term

49y² = (7y)² → 7y is the second term

Hence

(3x + 7y)² = 9x² + 42xy + 49y²

Answer:

B

Step-by-step explanation:

Answer: 180/600

Step-by-step explanation: 100x6=600 and 30x6=180

Answer:

x = -3/b

x = -1

Step-by-step explanation:

-2(bx-5)=16

Divide each side by -2

-2(bx-5)/-2=16/-2

bx-5 = -8

Add 5 to each side

bx-5+5 = -8+5

bx = -3

Divide each side by b

bx/b = -3/b

x = -3/b

If b = 3

x = -3/3

x = -1

Answer:

-3/b; -1

Step-by-step explanation:

A. Solve the equation

[tex]\begin{array}{rcr}-2(bx - 5) & = & 16\\bx - 5 & = & -8\\bx & = & -3\\x & = & \boxed{\mathbf{-3/b}}\\\end{array}[/tex]

B. Value when b = 3

[tex]\begin{array}{rcr}x & = & -3/3\\x & = & \boxed{\textbf{-1}}\\\end{array}[/tex]

Answer:

C (20, 3) = 1140

Step-by-step explanation:

We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.

This is a problem of combinations where the order of trios is not important.

[tex] C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) } [/tex]

[tex]C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}[/tex]

C (20, 3) = 1140

Answer:

C(20, 3)

Step-by-step explanation:

have a good day

Answer:

A. Down on the left, down on the right

Step-by-step explanation:

Let x be negative infinity

f(-∞) = -3 (-∞)^4+ 7(-∞)^2 - 12(-∞) + 13

f(-∞) = -3 (∞)^4+ 7(∞)^2 + 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

f(∞) = -3 (∞)^4+ 7(∞)^2 - 12(∞) + 13

The term that dominates is ∞^4

That term is negative because of the -3, so it goes down

It is down at -∞ and down and +∞

The end behavior of the function is determined by the sign of the leading coefficient and the degree of the highest-powered term. Since the leading coefficient for f(x) = -3x^4 + 7x^2 - 12x + 13 is negative and the degree is even, it results in a down on the left, down on the right end behavior.

To determine the end behavior of a polynomial function, like f(x) = -3x^4 + 7x^2 - 12x + 13, you look at the coefficient and degree of the highest-powered term. The highest-powered term in the function is -3x^4.

Since the highest degree of the function is even (4), the arms of the graph will go in the same direction. That direction is determined by the sign of the leading coefficient, which is negative in this case. Therefore, the end behavior of f(x) is: Down on the left, down on the right.

So, the correct answer is Option A.

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Answer:

The measure of arc AC is 85°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

m∠ABC=(1/2)[arc AC]

substitute

(4x-5.5)°=(1/2)[5x+25]°

(8x-11)°=(5x+25)°

8x-5x=25+11

3x=36

x=12°

Find the measure of arc AC

arc AC=(5x+25)°

arc AC=5(12)+25=85°

Answer:

The answer is 85

Step-by-step explanation:

I just took the test

Answer:

y=

−1

2

x+3

Step-by-step explanation:

is solved for y

Answer:

45.2 MB

Step-by-step explanation:

19.3% is equivalent to [tex]\frac{19.3}{100}[/tex]

Given that the total size of the file is 234 MB and only [tex]\frac{19.3}{100}[/tex] has been downloaded,

number of MB downloaded,

= [tex]\frac{19.3}{100}[/tex] x 234 MB

= 45.162 MB

= 45.2 MB (rounded off to nearest tenth)

Answer:

Step-by-step explanation:

First, you convert 19.3 to a decimal. That is 0.193. Then, you multiply 0.193 and 234 to get 45.162 megabytes. Since it is asking for the number of megabytes, you will have to round it and get 45 megabytes.

in total: thirty-six (36) markers.

Answer:

3.6

Step-by-step explanation:

replace x with -3

f(-3)=0.6(3-(-3))

f(-3)=0.6(6)

f(-3)=3.6

Answer:

3.6.

Step-by-step explanation:

Replace x by -3 in the function and work it out:

f(-3) = 0.6(3 - (-3))

= 0.6(3 + 3)

= 0.6*6

= 3.6 (answer).

Answer:

278 probly

Step-by-step explanation:

i just subracted 981 and 703

Answer:

9

Step-by-step explanation:

3root^857375

Answer:

95

Step-by-step explanation:

The product of the prime factors of 857375 are

5 × 5 × 5 × 19 × 19 × 19 ← express as combination of pairs

= (5 × 19) × (5 × 19) × (5 × 19)

= 95 × 95 × 95 = 95³

Hence

[tex]\sqrt[3]{857375}[/tex] = [tex]\sqrt[3]{95^{3} }[/tex] = 95

Experience and education are examples of advanced qualifications that is used to determine a high wage paid to an employee.

"Experience is the skill or knowledge that a person can get by learning or doing some professional work or from life."

"Education is an activity which helps an individual to achieve a particular aim of life."

"Advanced qualifications is an activity which helps an individual to increase in the level of education and their learning skills for achieving something better in life."

"Wage is the income which an individual earn with respect to the work he performed"

Hence, option d is correct.

To learn more about experience and education here

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x/-9 ≥ 3

To solve for x, multiply both sides by -9

x ≥ 3 *-9

Because the number is negative reverse the inequality sign.

x ≤ -27

Answer:

83,962

Step-by-step explanation:

You must subtract the miles gained while on the road trip from the miles the car had after the road trip.

86,445-2,483=83,962

the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.

Hope this helps!

Answer:

x < 11

Step-by-step explanation:

2- 2x>-20

Subtract 2 from each side

2-2- 2x>-20-2

-2x> -22

Divide by -2.  Remember that flips the inequality

-2x/-2 < -22/-2

x < 11

The answer is:

The function intercepts de x-axis at "x" equal to 1.631.

To find the x-intercept of the function, we need to make f(x) or "y" equal to 0, and then, isolate "x".

So, isolating we have:

[tex]f(x)=3^{(x-1)} -2\\\\0=3^{(x-1)} -2\\\\3^{(x-1)}=2\\\\Log_{3}(3^{(x-1)})=Log_{3}(2)\\\\x-1=0.631\\\\x=0.631+1=1.631[/tex]

Hence, we have that the function intercepts de x-axis at "x" equal to 1.631.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

x = 7

Step-by-step explanation:

The photo should show you how to do it.

Answer:

Inconsistent equations describes a system of equations that has no solution.

Step-by-step explanation:

Inconsistent equations have no solutions and contain no further classes.

Inconsistent equations are defined as two or more equations that can never be solved, based on using one set of values for the variables.

Answer:

=  1872x^2 - 1960q^2 - 1386xq

Step-by-step explanation:

First you should distribute.

(24x * 56q), (24x * 78x), (-35q * 56q), (-35q * 78x)

=1344xq + 1872x^2 - 1960q^2 - 2730xq

Now you combine like terms.

=  1872x^2 - 1960q^2 - 1386xq

**NOTE that (^2) means "squared"

Since there are no more like terms that is your final answer. I hope this helps love! :)

Answer:

Could you repost and attach a picture to go along with your problem?

Answer:

3

Step-by-step explanation:

[ 3.6 ] represents the greatest integer function [ x ]

If x is an integer use that integer

If x is not an integer use the next smaller integer

[ 3.6 ] is not an integer, hence

[ 3.6 ] = 3

Answer:3

Step-by-step explanation: edge 2021

Answer:

[tex]\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]

Step-by-step explanation:

we know that

Te volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=(r/2)\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (r/2)^{2}h[/tex]

[tex]V=\frac{1}{12}\pi r^{2}h[/tex]

Te volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

[tex]\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}[/tex]