2p2+3p-4 less -2p2-3p+4

Answers

Answer 1

2p^2 + 3p - 4 - (-2p^2 - 3p + 4) =
2p^2 + 3p - 4 + 2p^2 + 3p - 4 =
4p^2 + 6p - 8 <==

Answer 2

Answer:

[tex]4p^{2}+6p-8[/tex]

Step-by-step explanation:

Being a subtraction of polynomials, the second polynomial will change the signs of its terms and then the algebraic sum is done.

[tex]2p^{2} -3p-4 - (-2p^{2} -3p+4)[/tex]

changing the signs

[tex]2p^{2} -3p-4 +2p^{2}+3p-4[/tex]

performing indicated operations

[tex]4p^{2}+6p-8[/tex]

Related Questions

If you were to add all odd numbers between 1 and 11 (both inclusive), the result would be

Answers

The sequence of all odd numbers between 1 and 11 (both inclusive) is
1,3,5,7,9,11

This is an arithmetic sequence with common difference of d=2
The first term is a₁=1.

The number of the term 11 (without counting) is found from
1 + (n-1)*2 = 11
1 + 2n - 2 = 11
2n -1 = 11
2n = 12
n = 6

The sum of the first n terms of an arithmetic sequence is
[tex]S_{n} = \frac{n(a_{1}+a_{n})}{2} [/tex]

Therefore, the sum of the sequence is
S₆ = [6*(1 + 11)]/2
= (6*12)/2
= 36

Answer: 36

Final answer:

By adding all the odd numbers from 1 to 11 inclusive (1, 3, 5, 7, 9, 11), the sum is 36.

Explanation:

If you were to add all odd numbers between 1 and 11 (both inclusive), the odd numbers are: 1, 3, 5, 7, 9, and 11. To find the result of adding these numbers together, you simply add each one sequentially:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

So, the result of adding all the odd numbers from 1 to 11 inclusive is 36.

Find the center and radius of a circle defined by the equation x^2+yy^2+4x-8y+13=0

Answers

hello :
x²+y²+4x-8y +13 = 0
(x² +4x) +(y² -8y )+13 = 0
(x²+4x+4) -4 +(y-8y +16) -16 +13 = 0
(x+2)² +(y -4)² = 7
the center is : (-2 , 4) and radius √7

Given 2 events a and b, and that p(a)=0.30, p(b)=0.45, p(a u b)=0.60. find the probability p(a∩b).

Answers

p(a U b) = p(a) + p(b) - p(a ∩ b)

<=>

p(a ∩ b) = p(a) + p(b) - p(a U b)

I let you do the maths :)

Write the interval (3,20] as an inequality and using set notation

Answers

The interval written could be the domain (x-values) or the range (y-values). I can't make an equation if either one of them is given. The set notation maybe expressed in symbols of (), [], or combination of both. The () is used when the domain or range is not inclusive. Otherwise, you use the [] symbols. In this case, the domain or range starts from any number greater than 3 to 20, inclusive.

Why is sin(20) = sin(160) = -sin(200) = -sin(340)?

Answers

Because they're all the same distance from the x axis on a coordinate plane. Also, remember that in quadrant I, all trig values are positive. In Q II, only sine and cosecant are positive. In Q III, only tangent and cotangent are positive. In Q IV, only cosine and secant are positive. Think of it as All Students Take Calculus.

Answer:

see.

Step-by-step explanation:

The value of sin is the same at the same distance from the cuadrant limit of the point. For the case of 20°, we have that the sin is the same in the following case:

As 20 is positive we use the limit cuadrant at 90°. The distance of 20 to 90 is 70. So, sin(20)=sin(90+70)=sin(160).

Also we have that sin(x) is a odd function, so sin(-x)=-sin(x), so

sin(-20°)= -sin(20°)

-sin(-20°)=sin(20°)

-sin(340°)=sin(20°).

and,

sin(-160°)=-sin(160°)

-sin(-160°)=sin(160°)

-sin(200°)=sin(160°)=sin(20°).

Solve log 6 60 - log 6 30

A.) 2
B.) log 6 2
C.) 5
D.) log 6 30

Answers

[tex]log_a(b) - log_a(c) = log_a(\frac{b}{c})[/tex]

Using that formula we get:

[tex]log_6(60) - log_6(30) = log_6(2)[/tex]

so B is your answer :)

Which value of k would cause the system of linear equations 35x+14y=119 and 5x+2y=k to have an infinite number of solutions?

Answers

The 2 equations are lines on an x/y plane. They are going to have an infinite number of solutions if those lines lie on top of each other. so the first thing you need to do is to get 5x+2y to look like 35x+14y. To do this we need to multiply both sides of the equation by 7 so 5x+2y=k becomes 35x+14y=7k. Now that the left hand side of both equations are the same we can set the right hand side of the equations equal to each other 119=7k or k = 17. Hope that helps.

The value of k in the equation is k = 17 and the equation 5x + 2y = 17 and

5x + 14y = 119 has infinite number of solutions

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 ,

Let the first equation be represented as A

Now , the value of A is

35x + 114y = 119 be equation (1)

Let the second equation be represented as B

Now , the value of B is

5x + 2y = k

For the system of equations to have infinite number of solutions ,

equation (1) = equation (2)

So , 5x + 2y = 35x + 114y

And , 7 ( 5x + 2y ) = 35x + 114y

So , the value of k = 119/7

On simplifying the equation , we get

k = 17

Therefore , the value of k is 17

Hence , the value of k from the equation is k = 17

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3. Suppose e and f are real numbers where e>0 and f<0.
(a) Is -e+f positive or negative. Explain how you know.
(b) Is e-f positive or negative? Explain how you know.
(c) Is f-e positive or negative. Explain how you know.

Answers

Part A:

Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.

The sum of two negative numbers gives a negative number.

Therefore, -e + f is negative.

Part B:

Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive.
Also, since f < 0, this means that f is negative and -f is positive.

Recall that e - f = e + (-f)
The sum of two positive numbers gives a positive number.

Therefore, e - f is positive.

Part C:

Given that e and f are real numbers where e > 0 and f < 0.
Since e > 0, this means that e is positive and -e is negative.
Also, since f < 0, this means that f is negative.

Recall that f - e = f + (-e)
The sum of two negative numbers gives a negative number.

Therefore, f - e is negative.

Tuna provides 30 calories per ounce . On a graph representing the relationship between the number of ounces of tuna a person consumes and the number of calories the tuna provides which quantity should be graphed on the x-axis

Answers

Ounces of tuna will go on the x axis and calories on the y axis. This is because the relationship between the number of ounces a person eats and the calories he consumes then is a positive correlation (a line with a positive slope which goes from lower left to upper right) with x being the independent variable. As x increases, y increases. In other words you can ONLY change the amount of calories you consume WHEN you change the amount of ounces you eat. You can't change the number of calories independent of the number of ounces. The independent variable goes along the x axis, cuz the x variable always represents the independent variable.

Answer:

Step-by-step explanation:

A cone-shaped hat is shown:

A cone is shown with slant height 18 cm and radius 5.7 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.

What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7

Answers

By the Pythagorean Theorem:

h^2=x^2+y^2

18^2=5.7^2+y^2

y^2=18^2-5.7^2

y^2=291.51

y=√291.51

y≈17.07

It's the second explanation down...

Answer:

B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.

Step-by-step explanation:

The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,

[tex]l[/tex] = Slant height of cone,

[tex]r[/tex] = Radius of cone.

Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,

[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]

[tex]h=\sqrt{324-32.49}[/tex]

[tex]h=\sqrt{291.51}[/tex]

[tex]h=17.0736639301586348\approx 17.07[/tex]

Therefore, the height of cone is 17.07 cm and option B is the correct choice.

PLEASEEEEE HELPPPP ASAP NEED TO GET RIGHT!!!! WILL GIVE THANKS

Answers

You are given the function sin θ = 3/√34. You are asked to find the possible coordinates of point Pp on the terminal arm of θ in the first quadrant. The sine function is equal to the opposite side over the hypotenuse side. Let us assign variables as x, y and r where x is the distance of the line to the x - axis, y is the distance of the line to the y - axis and r is the distance of the hypotenuse line. Apply pythagoreas theorem

r² = x² + y²
(√34)² = x² + 3²
34 = x² + 9
x² = 25
x = 5

the coordinates is placed as (x,y) and you already solved these values and so (5, 3)

Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F + G) (2) =

Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F - G) (6) =

Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F G) (2) =

Answers

Answer with Step-by-step explanation:

F = {(0, 1), (2, 4), (4, 6), (6, 8)}

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F+G)(2)=F(2)+G(2)

= 4+5

= 9

F = {(0, 1), (2, 4), (4, 6), (6, 8)}

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F - G) (6) =F(6)-G(6)

=8-9

=-1

F = {(0, 1), (2, 4), (4, 6), (6, 8)}

G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

(F.G) (2) =F(2).G(2)

= 4×5

= 20

What is the answer to this?

Answers

In step 1, Megan attempts to equate the amount of cake per person. She swapped the first fraction. There she should have divided 2 cakes over 75 people, ie., 2/75. Then step 2 would have been:

Step 2: (2)(150) = 75x
Step 3: 300 = 75x
Step 4: x = 300/75 = 4

The odds that you will pick a heart from a standard deck of 52 cards is 13:39. TRUE or FALSE

Answers

the odds of picking a heart is 13:39.

the statement is TRUE.

To determine whether the statement is true or false, we need to calculate the odds of picking a heart from a standard deck of 52 cards and compare it to the given odds of 13:39.

Step 1: Calculate the number of hearts in a standard deck.

A standard deck of 52 cards contains 13 hearts.

Step 2: Calculate the total number of cards in the deck.

A standard deck of 52 cards contains 52 cards.

Step 3: Calculate the odds of picking a heart.

The odds of picking a heart can be expressed as the ratio of the number of favorable outcomes (hearts) to the number of unfavorable outcomes (non-hearts).

Number of hearts: 13

Number of non-hearts: 52 - 13 = 39

So, the odds of picking a heart is 13:39.

Now, let's compare the calculated odds (13:39) with the given odds (13:39).

Since the calculated odds match the given odds, the statement is TRUE.

A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. When will the rocket be 196 feet in the air?

A.) after 2.0 seconds

B.) after 3.5 seconds

C.) after 4.5 seconds

D.) after 7.0 seconds

*The answer is B, after 3.5 seconds. If anyone wants to properly explain how this is the correct answer, I will give you brainliest.*

Answers

h ( t ) = 112 t - 16 t²
When the rocket is 196 feet in the air:
196 = 112 t - 16 t²
16 t² - 112 t + 196 = 0

divide everything by 4 ( just makes numbers smaller and easier to work with)

4 t² - 28 t + 49 = 0

Now factor the equation:
( 2 t - 7 )² = 0
2 t - 7 = 0
2 t = 7
t = 7 : 2
t = 3.5 s

The rocket will be 196 feet in the air after 3.5 seconds.

What is the length of chord AB ?

A. 5.8 ft
B. 5.5 ft
C. 6.1 ft
D. 6.25 ft

Answers

It could be 2.25 + 2.25 = 5.5

The answer is A. 5.8 ft

3 - 2.25 = 0.75

3^2 - 0.75^2 = 8.4375
√8.4375 = 2.9

AB = 2 (2.9) = 5.8

Eduardo bought a refrigerator with a sticker price of $2400. If he paid $35 a week for two years, what was the approximate markup rate on the refrigerator?
A. 65.9%
B. 51.7%
C. 34.1%
D. 75.8%

Answers

There are 52 weeks a year
In 2 years there are 104 weeks

Total paid
35×104=3,640

markup rate
((3,640−2,400)÷2,400)×100=51.7%

It's b

Answer:

The correct answer is option B

Step-by-step explanation:

Payment done per week [tex]= 35 dollar\\[/tex]

Total number of weeks in a year [tex]= 52 weeks\\[/tex]

Total number of weeks in two year [tex]= 104 weeks\\[/tex]

Total amount paid in two weeks

[tex]= 35 * 104\\=3,640\\[/tex]

The make up rate is basically the amount paid over and above $2400

[tex]=(\frac{3640 - 2400}{2400} ) * 100\\= 51. 7 perecent[/tex]

Line GJ is tangent to point A at point G.

What is m∠AGJ?

Answers

m<AGJ = 90 degrees

hope it helps

GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point ⇒ m∠АGJ = 90°

Simplify 7x + (x – 4)(x + 5) – 5x.

Answers

7x+(x-4)(X+5)-5x
7x+(X*2+ 5x-4x-20)-5x
7x+(X*2+ x-20)-5x
X*2+3x-20

Answer:

x^2 + 3x – 20

Step-by-step explanation:

I just did the assignment

Susie and Amelia solved the same equation using two separate methods. Their work is shown in the table below:

Answers

Susie made the error when she subtracted 2

Answer:

(C)

Step-by-step explanation:

Explanation of Susie's method:

The given equation is:

[tex]2x-3=4x-2[/tex]

[tex]2x-2x-3=4x-2x-2[/tex]

[tex]-3=2x-2[/tex]

[tex]-3+2=2x[/tex] ( she made a mistake when she subtracted 2)

[tex]-1=2x[/tex]

[tex]x=-\frac{1}{2}[/tex]

Susie made a mistake in step 4 when she subtracted 2,

Thus, option C is correct.

A realty developer sell residential lots fir 4,000 per square meter plus a processing free of 25,000. one of the lots the realty developer is seling cost 625,000.

Answers

selling cost = (price * lots) + processing fee

625000 = ( 4000 * lots) + 25000
625000 - 25000 = 4000 * lots
600000 = 4000 * lots

lots = 600000 / 4000 = 150.

a pizza delivery shop averages 21 minutes per delivery with a standard deviation of 3 minutes. what is the probability that a pizza takes less than 15 minutes to be delivered?

Answers

We have the mean, μ = 21 and the standard deviation, σ = 3

We want P(X<15)

Standardizing gives:

P(X<15) = P(Z<(15-21)/3)
P(X<15) = P(Z< -2) ⇒ When the value of the z-score is negative, we will read the value of z<2 on the z-table then subtract the answer from 1

P(X<15) = 1 - P(Z<2)
P(X<15) = 1 - 0.9772
P(X<15) = 0.0228

the probability that pizza takes less than 15 minutes to be delivered is 0.0228 = 2.28%

Round answer as needed

The product of three and a number is thirty-three. What is the number? N = 11 N = 30 N = 36

Answers

Answer:

Step-by-step explanation:

N=11

(06.02)The graph shows the number of weeks a movie has been in theaters and the number of tickets sold each week
Which statement best describes the relationship between the number of weeks a movie has been in theaters and the number of tickets sold?

As the number of weeks increases, the number of tickets sold decreases.
As the number of weeks increases, the number of tickets sold increases.
As the number of weeks decreases, the number of tickets sold decreases.
No relationship can be determined.

Answers

Looking at the graph, you can see that as more weeks pass, the amount of tickets sold are slowly decreasing.

Therefore, A) As the number of weeks increases, the number of tickets sold decreases would be the correct answer.

As the number of weeks increases, the number of tickets sold decreases so option (A) will be correct.

What is a graph?

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two.

In another word, graph is geometrical relation of the analytical variable.

For example to draw the equation y = 6x +8 this will draw a straight line in the coordinate geometry.

In the given question it is clearly visible that as the weeks in theater are increasing the points are going down on the y-axis which is tickets sold.

As the number of weeks increases, the number of tickets sold decreases hence option (A) will be correct.

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You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.

Answers

50+30y

It is 30y because there are 7 days in a week and each week you deposit $5 so 5*7 is 30.

Is it possible for one point to be in two different planes?

Answers

Yes, it is possible for one point to be in two different planes. Imagine this: take the point in the corner of a room. That point is part of 3 planes (both walls and the floor).

To add, in mathematics, a plane is a flat, two-dimensional surface.

Answer:

Yes, it is possible for one point to be in two different Planes.

This can be explained in following way.

The Intersection of two plane is a line.And on a line infinite number of point lies.

So,"yes" one point or Infinite number of points can be common between two different planes.

anna owes home antiques Whose value is 160000 today assuming normal growth. however anna believes the value will grow at 16% per year for the next three years she wants to take this rapis growth ibto consideration when valuing the buisness for potential sale find the future value of the buisness in three years then use that future value to find the present value at a rate 8% compounded annually

Answers

The formula is
A=p (1+r)^t
A future value?
P present value 160000
R interest rate 0.16
T time 3years
A=160,000×(1+0.16)^(3)
A=249,743.36

Use that future value to find the present value at a rate 8% compounded annually
To find p (present value) solve the formula for p
P=A÷ (1+r)^t
Where r is 0.08
P=249,743.36÷(1+0.08)^(3)
p=198,254.33

Which expression represents the area of the shaded triangle?

Answers

Answer:

B. [tex]\frac{1}{2}\times (5.7)\times (1.9)[/tex]

Step-by-step explanation:

We have been given an image of a triangle. We are asked to choose the correct option that represents the area of the shaded region.

We know that the area of a triangle is half the product of its height and base.

Upon looking at our given diagram we can that shaded region is in form of triangle and the height of both triangles is 5.7 meters. We can also see that the base of shaded triangle is 1.9 meters.

[tex]\text{Area of triangle}=\frac{1}{2}\times (\text{Height *Base})[/tex]

[tex]\text{Area of shaded region}=\frac{1}{2}\times (5.7)\times (1.9)[/tex]

Therefore, option B is the correct choice.

Answer:

Step-by-step explanation:

Solve for x: 3/4x+5/8=4x

Answers

3/4x+5/8 = 4x
4x - 3/4x = 5/8
13/4x = 5/8
x = 5/8 * 4/13
x = 5/26

Bao Yu is completing the square to solve the polynomial equation.

x2 – x – 3 = 0

What should be her first step?

adding –x to both sides of the equation

adding –3 to both sides of the equation

isolating the first term, x2

isolating the constant, –3

Answers

Solution:

The square of the given equation can be completed as below:

Here we will make the terms on left hand side such that it gets the form of [tex]a^2\pm2ab+b^2=(a\pm b)^2[/tex]

[tex]x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\[/tex]

Hence the correct option is isolating the constant , -3.

The polynomial equation x^2 – x – 3 = 0 is a quadratic equation, and the first step in completing the square is (d) isolating the constant, –3

What are polynomials?

Polynomials are expressions that are represented with variables and coefficients

Below are the steps taken to determine Bao Yu's first step

The equation is given as:

x^2 – x – 3 = 0

Isolate the constant -3 in the equation.

So, we have:

x^2 – x = 3

Hence, the first step in completing the square is (d) isolating the constant, –3