Which of the following statements is not true if f(x) = 2x2 + x – 3 and g(x) = 2x3 + 3x2 – 2x – 3?

Answer:

z= 4-x-y

z= -1+4x-y

z= 2-x

Step-by-step explanation:

z = 2-x

y = -1-z +4x

substitute

x -1 -2+x +4x + 2 -x = 4

-1 + 5x = 4

5x = 5

x = 1

z = 1

1+y+1 = 4

y = 2

Answer:

polynomial of degree 10

Step-by-step explanation:

The degree of the polynomial is the sum of the exponents, that is

[tex]w^{7}[/tex]y³ → has degree 7 + 3 = 10

Answer: Cup-$14, Saucer-$6.5

Step-by-step explanation:

Given

Cup and saucer costs $20.5

A cup and two saucer costs $27

Assume the price of cup and saucer are x and y

So, we can write

[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]

Solving [tex](i)\ \text{and}\ (ii)[/tex] we get

[tex]x=\$\ 14, y=\$\ 6.5[/tex]

Thus, the cost of the cup is $14 and that of the saucer is $6.5

Answer:

hi

Step-by-step explanation:

hi

Answer: A,B, and E for sure. I'm not sure about C though.

Step-by-step explanation:

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

Answer:

One big change during Kublai's reign was that foreigners became the rulers and administrators. Since they didn't trust the local people, they moved in a large number of Muslims and other people to help them rule the empire. The Mongols had their own religious belief called Shamanism.

Answer:

x = 23/30

Step-by-step explanation:

4(8x - 3) - 6 = 5 + 2x

32x - 12 - 6 = 5 + 2x

32x - 18 = 5 + 2x

32x - 2x = 5 + 18

30x = 23

x = 23/30

Answer:

30x=14

Step by Step Explanation:

32x-9=5+2x

32x-2x=30x

30x-9=5

5+9 is 14

30x=14

Answer:

65 girls and 45 boys

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

because i said so 2+2+2=6 and x=5 but two x=10

Answer:

x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t

Step-by-step explanation:

Answer:

child = $14

senior = $8

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

52 - 38 = 14

child = $14

3s + 14 = 38

3s = 24

divide by 3

senior = $8

Answer: 3x-1(-5x)-3

Step-by-step explanation:

−3-x-1(-5x)+4x

-3+3x-1(-5x)

3x-1(-5x)-3

Answer:

C = 25.12

Step-by-step explanation:

C = 2πr

C = 2(3.14)(4)

C = 6.28(4)

C = 25.12

Answer: i would say A and D but i'm not sure of the others

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

[tex]P = 2[/tex]

[tex]G = 3[/tex]

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

This gives:

[tex]P(G_1\ and\ G_2) = P(G_1) * P(G_2)[/tex]

[tex]P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}[/tex]

[tex]P(G_1\ and\ G_2) = \frac{3}{10}[/tex]

[tex]P(P_1\ and\ P_2) = P(P_1) * P(P_2)[/tex]

[tex]P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}[/tex]

[tex]P(P_1\ and\ P_2) = \frac{1}{10}[/tex]

Note that: 1 is subtracted because it is a probability without replacement

So, we have:

[tex]P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)[/tex]

[tex]P(Same) = \frac{3}{10} + \frac{1}{10}[/tex]

[tex]P(Same) = \frac{3+1}{10}[/tex]

[tex]P(Same) = \frac{4}{10}[/tex]

[tex]P(Same) = \frac{2}{5}[/tex]

Answer:

B 2208cm squared

you follow this formula

A=2(wl+hl+hw)

w means width

l means length

h means height

input the numbers and you got your answer.

Hope this helped ;)

Answer:5760 cm2

Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2

Answer:

O-O

Step-by-step explanation:

XD i took the last comment

Answer:

its D

Step-by-step explanation:

Question:

There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.

You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event

(a) The probability of selecting two solid chocolates in a row.

(b) The probability of selecting a caramel and then a coconut candy.

Answer:

[tex](a)[/tex] [tex]P(Chocolates) = \frac{7}{29}[/tex]

[tex](b)[/tex] [tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]

Step-by-step explanation:

Given

[tex]Coconut = 5[/tex]

[tex]Caramel = 10[/tex]

[tex]Chocolate = 15[/tex]

[tex]Total = 30[/tex]

For probabilities without replacement, 1 is subtracted after the first selection.

So, we have:

Solving (a): Two solid chocolates

This is calculated as:

[tex]P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)[/tex]

[tex]P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{1}{2} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{7}{29}[/tex]

Solving (a): Caramel and Coconut

This is calculated as:

[tex]P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]

Answer:

You know that the beginning salary is $32,000, and it is raised by $1,000 per year.

a) We want to find a recursive relation, let's try to find a pattern:

S₁ = salary on the first year =  $32,000

S₂ = salary on the second year = $32,000 + $1,000 = $33,000

S₃ = salary on the third year = $33,000 + $1,000 = $34,000

and so on.

We already can see that the recursive relation is: "the salary of the previous year plus $1,000", this can be written as:

Sₙ = Sₙ₋₁ + $1,000

Such that S₁ = $32,000

b) Your salary in the fifth year is S₅

Let's construct it:

S₃ = $34,000

S₄ = $34,000 + $1,000 = $35,000

S₅ = $35,000 + $1,000 = $36,000

Your salary on the fifth year is $36,000

c) When we have a recursive relation like:

Aₙ = Aₙ₋₁ + d

The sum of the first N elements is given by:

Sum(N) = N*(2*A₁ + (N - 1)*d)/2

Then the sum of your salary for the first 20 years is:

S(20) = 20*(2*$32,000 + (20 - 1)*$1,000)/2

S(20) = $830,000

Answer:

my best guess would be H

Step-by-step explanation:

I hope this helped and if you have more details that could help me get to a more appropriate answer pls comment them and I'll do my best to help but like I said with what you provided my best guess would be H

Answer:

20, 18, 14, and 24 are all not perfect squares

Step-by-step explanation:

In the term, 17y 17 is the coefficient of 17y.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

The term 17y together is a variable, In 17y 'y' is also a variable.

In front of 'y' the constant number is 17 and it is called the coefficient of 'y'.

learn more about coefficients here :

https://brainly.com/question/30066987

#SPJ6

Answer:

B. Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

The answer is D, because in step c. you add  to both sides to get rid of the  on the right hand, so you use the fact that you can add the same number to both sides of an equation.

Likewise, in step f. you divided both sides by  to get rid of the  coefficient, so you use the fact that you can divide both sides of an equation by the same number.

...............................................................................................................................................

Answer:

Option C and B

Step-by-step explanation:

In the question step C is 23 + 11 = -11 +(-4x) + 11

which is in the form of a + b = c + a

In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.

property which signifies this step is

Addition property of equality :

In step 'f' expression is

In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.

In this step division property of equality has been applied.

Therefore Option C and B are the correct options.

Answer:

B. Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

hope it helps...

Answer:

x = 13

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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

x² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

x = [tex]\sqrt{169}[/tex] = 13

The little lines inside the two angles mean they are the same.

The 3 inside angles of a triangle equal 180 degrees.

One angle is 146 , so the other two need to equal 180-146 = 34 total.

34/ 2 = 17

Both angle 1 and angle 2 are 17 degrees each.

17, 17

Step-by-step explanation:

assuming both 1 and 2 are congruent and the total amount of angles should add up to 180* we can subtract 180(total) - 146(given) to get 34(angle 1+2) and and divide by 2 since both 1 and 2 are congruent they are the exact same angle

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

Answer:

LCM of 45 and 60: 180

Step-by-step explanation: