Match the trinomials with their factors. Tiles a2 + a − 20 a2 − 9a + 20 a2 − 8a − 20 a2 − 12a + 20 a2 − 19a − 20 Pairs Factors Trinomials (a − 4)(a − 5) arrowBoth (a − 10)(a − 2) arrowBoth (a − 4)(a + 5) arrowBoth (a − 10)(a + 2) arrowBoth

Answers

Answer 1

For this case we have to factorize the following trinomials as the product of two binomials.
We have then:
a2 + a - 20
(a + 5) (a-4)

a2 - 9a + 20
(a-5) (a-4)

a2 - 8a - 20
(a-10) (a + 2)

a2 - 12a + 20
(a-10) (a-2)

a2 - 19a - 20
(a-20) (a + 1)

Answer 2

Trinomial [tex]a^2 + a - 20[/tex] with factors (a + 5)(a - 4)
Trinomial [tex]a^2 - 9a + 20[/tex] with factors (a - 4)(a - 5)
Trinomial [tex]a^2 - 8a - 20[/tex] with factors (a - 10)(a + 2)
Trinomial [tex]a^2 - 12a + 20[/tex] with factors (a - 10)(a - 2)

To match the trinomials with their factors, we can factor each trinomial and compare the factors given:
1. Factorizing trinomial [tex]a^2 + a - 20:[/tex]
The factors are (a + 5)(a - 4).
This matches with the pair (a - 4)(a + 5).
2. Factorizing trinomial [tex]a^2 - 9a + 20:[/tex]
The factors are (a - 4)(a - 5).
This matches with the pair (a - 4)(a - 5).
3. Factorizing trinomial [tex]a^2 - 8a - 20[/tex]:
The factors are (a - 10)(a + 2).
This matches with the pair (a - 10)(a + 2).
4. Factorizing trinomial [tex]a^2 - 12a + 20:[/tex]
The factors are (a - 10)(a - 2).
This matches with the pair (a - 10)(a - 2).
Therefore, the correct matches are:
- Trinomial [tex]a^2 + a - 20[/tex] with factors (a + 5)(a - 4)
- Trinomial [tex]a^2 - 9a + 20[/tex] with factors (a - 4)(a - 5)
- Trinomial [tex]a^2 - 8a - 20[/tex] with factors (a - 10)(a + 2)
- Trinomial [tex]a^2 - 12a + 20[/tex] with factors (a - 10)(a - 2)

Related Questions

A spinner is to be used during a probability experiment. The spinner is separated into all congruent sections of which 8 sections are orange, 4 sections are yellow, and 2 sections are green. What is the probability written in simplest form that the spinner will NOT stop on a green section during the first spin?

Answers

Not green...means orange or yellow

Total sections=8+4+2=14, orange and yellow sections=8+4=12

P(y or o)=12/14

P=6/7 (about 85.7%)

[tex] |\Omega|=14\\
|A|=12\\\\
P(A)=\dfrac{12}{14}=\dfrac{6}{7}\approx86\% [/tex]

HELP!

What is Jacobson's conjecture?

Answers

In abstract algebra, Jacobson's conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian ring.

Identify the number that does not belong explain why. 50.1 (repeating)- 50/2 -50.1 and the square root of 50

Answers

50/2. It equals 25 which isn't a decimal. 50.1 (repeating), 50.1, and the square root of 50 are all decimals.

The answer is the square root of 50.

This is because it’s the only nonreal number. Real numbers can be expressed as fractions. This means that whole numbers, decimals, fractions, and any number that can be ultimately put as a fraction is a real number.

50/2 is already a fraction, so it’s real. 50.1 can also be made in to a fraction. 50.1 (repeating) has a pattern to its decimal values, meaning it is also able to be a fraction. However, the square root of 50 is a number with decimal values that go on forever and never have a pattern to it, and thus cannot be put into a fraction. Thus, the square root of 50 is not a real number, and so is the odd one out.

the rate of 4 shirts for $32.00

Answers

the answer is $8

hope this helps

Hey there!

The rate is 8 or $8 for each shirt.

Hope this helps! :)

Barney has a balance of $780 on a credit card with an APR of 31.3%, compounded monthly. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 19.1%, compounded monthly? (Assume that Barney will make no payments or new purchases during the year, and ignore any possible late-payment fees.)

Answers

Barney can save
$119.66
in interest over the course of a year if he transfers his balance to a credit
card with an APR of 19.1%, compounded monthly. The correct answer between all
the choices given is the first choice or letter A.

Answer:

Barney will save about $119.66.

Step-by-step explanation:

The compound interest formula is:

A=[tex]p(1+\frac{r}{n})^{nt}[/tex]

Case 1:

when p = 780

r = 0.313

n = 12

t = 1

Putting the values in formula:

[tex]780(1+\frac{0.313}{12})^{12}[/tex]

A = [tex]1.36204\times780=1062.39[/tex]dollars

Interest accured = [tex]1062.39-780=282.39[/tex] dollars

Case 2:

when p = 780

r = 0.191

n = 12

t = 1

Putting the values in formula:

[tex]780(1+\frac{0.191}{12})^{12}[/tex]

A = [tex]1.20863\times780=942.73[/tex]dollars

Interest accured = [tex]942.73-780=162.73[/tex] dollars

Now difference in interest in both cases = [tex]282.39-162.73=119.66[/tex] dollars

Hence, Barney will save about $119.66.

Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the previous row for each row in the section, how many seats are in row 15? How many seats total are there in the section?

Answers

Row 15 has 41 seats, and the entire section has 493 seats.

We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:

13+2(n-1)

Using 15 for n,
13+2(15-1) = 13+2(14) = 13+28 = 41

To find the total number of seats, we evaluate the sum
[tex]\Sigma_{n=1}^{17} 13+2(n-1)[/tex]

Using technology to evaluate this sum, it is 493.

you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years

Answers

use the exponential function of f(x)= 100x times (1.08)^2

You would have approximately $448.68 in the account after 15 years.

To calculate the amount in the account after 15 years, compounded monthly at 8% interest, you can use the formula for compound interest:A=P×(1+r/n)^ntWhere:

A is the future value of the investment,

P is the principal amount (initial deposit),

r is the annual interest rate (as a decimal),

n is the number of times interest is compounded per year, and

t is the time the money is invested for in years.

Here,

P=100,r=0.08,n=12 (compounded monthly), and t=15 years.

A=100×(1+0.08/12)^12×15

A=100×(1+0.08/12)^180

A=100×(1+120.08)^180

A=100×(1+0.08/12)^180

A≈100×(1.00666667)^180

A≈100×4.48678

A≈448.678

Complete question:

you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?

please help me how do u write in y intercept form a line that goes through (0,2) , (4,1) with a slope of -2??

Answers

Use the point slope form equation: y - y1 = m(x - x1)

(0, 2), (4, 1); m = -2
Plug the numbers in. I will use (0, 2).

y - 2 = -2(x - 0)
y - 2 = -2x
y = -2x + 2

Please contact me if you have further questions.

Inez and Felicia had three days to read a book. Inez read 40 pages the first day, 60 pages the second day, and 125 pages the third day. Felicia read the same book, but she read an equal number of pages each of the three days. How many pages did Felicia read each day?

Answers

Felicia read 57 pages in a day. If you do the math. 40+60+125=157 which is basically the total number of pages in the book. Since we know it is equally read in 3 days we divide 157 by 3 thus receiving 57

How to do probibility

Answers

In order to solve a probability question, start by defining the sample space, which is the set of all possible outcomes in the game.

How to come up with probability ?

To calculate the probability of someone landing on an even number and a primary color in a game or situation, you need to specify the range of numbers and the set of colors that someone can land on.

Determine which outcomes are favorable for your event. In this case, you want someone to land on an even number and a primary color. So, the favorable outcomes would be even numbers (2, 4, 6) and primary colors (red, blue, yellow).

Calculate the probability of landing on an even number and landing on a primary color separately.

Probability of landing on an even number:

There are 3 even numbers out of 6 possible outcomes, so the probability is 3/6 or 1/2.

Probability of landing on a primary color:

There are 3 primary colors out of 6 possible outcomes, so the probability is 3/6 or 1/2.

If point N is translated 6 units to the left and 5 units down, what are the coordinates of N'?

Answers

Well it would just be (6,5) if N had no coordinates which we can assume is 0

Answer:

(-6, -5)

Step-by-step explanation:

Let the position of point N (0,0)

As we know in a graph, a graph consist of horizontal and vertical lines.

The horizontal line, known as x axis, consist of negative numbers on the left side of number line and positive numbers on right side of number line separated by 0.

Similarly, the vertical line , also know as y axis consist of negative numbers on the below side of number line and positive numbers on above side of number line separated by 0.

If we translate point N 6 units to left from origin, then the x coordinate is -6

Similarly, if we translate 5 units to down, than y coordinate is -5

Hence, the coordinates are (-6,-5)

A rectangular wall has a length of 12 ft and a width of 8 ft. The wall has two rectangular windows. Each window has a width of 3 ft and a height of 5 ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window? Enter your answer, as a decimal rounded to the nearest hundredth, in the box. P(choosing a point on a window) = The figure shows two rectangles inside a larger rectangle. The two smaller rectangles each have a length of 3 feet and a width of 5 feet. The larger rectangle has a length of 12 feet and a height of 8 feet.

Answers

The wall area (including windows) is
A = (12 ft)×(8 ft) = 96 ft²

The area of one window is
A = (3 ft)×(5 ft) = 15 ft²a

The total window area as a fraction of the total wall area is
P(window) = (2×15 ft²)/(96 ft²) = 5/16 = 0.3125

The probability that Andrea will randomly choose a spot on a window is
P(choosing a point on a window) ≈ 0.31.

Answer:

the frst guy is right go dude your rock i love bing suportive!!

Step-by-step explanation:

Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x

Answers

First, we are going to use the Pythagorean identity: [tex]sin^2(x)+cos^2(x)=1[/tex] to rewrite our expression. Solving for [tex]sin^2(x)[/tex] in our Pythagorean identity we get that [tex]sin^2(x)=1-cos^2(x)[/tex], so we can rewrite our expression as follows:
[tex] \frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)} [/tex]

Next, we are going to use the trig identity: [tex]csc(x)= \frac{1}{sin(x)} [/tex] to completely simplify our expression:
[tex] \frac{1}{sin(x)} =csc(x)[/tex]

We can conclude that [tex] \frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)[/tex]

A plumber charges $100 to come to a house and $95 dollars per hour that he is there. If the total cost of the plumber’s visit to a house was $385, how many hours was the plumber working at the house?

Answers

3 hours.

First, you have to subtract 100 from 385 to find the total cost of hours at the house. Then, since he charges $95 every hour, you have to divide 385/95 and you get 3 as your answer. Hope this helped :) .

bag of coins contains two quarters 5 dimes 3 nickels and 4 pennies if two coins are randomly chosen from the bag one after the other not replaced and if the total value of the chosen coins is $0.26 what is the probability that a third coin randomly chosen from the back will be a penny

Answers

A - the total value of the first two chosen coins is $0.26
B - third chosen coin is a penny

[tex]P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\ |\Omega|=14\cdot13=182\\ |A|=2\cdot4\cdot2!=16\\ |A \cap B|=16\cdot3=48\\\\ P(A \cap B)=\dfrac{48}{182\cdot12}=\dfrac{2}{91}\\ P(A)=\dfrac{16}{182}=\dfrac{8}{91}\\\\ P(B|A)=\dfrac{\dfrac{2}{91}}{\dfrac{8}{91}}=\dfrac{2}{91}\cdot\dfrac{91}{8}=\dfrac{1}{4} [/tex]

LAST QUESTION! Please help! Please

Answers

The correct answer is: [C]: " 37, 680 mm³ " .
________________________________________________________

Explanation:
________________________________________________________

The formula for the volume, "V" , of a cylinder is:

→ V = [tex] \pi [/tex] * r² * h ;

→ in which "r = length of radius" ; "h = height" ; ________________________________________________________

{Note that the formula for the volume, "V" , of a cylinder is:

→ " Base area * height " .
________________________________________________________

→ Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;

→ and the formula for the "area of a circle = [tex] \pi [/tex] * r² " ;

  → in which "r = length of the radius" .

As such, the formula for the volume, "V" , of a cylinder is:
______________________________________________________
→ Volume = (Base area) * (height) ;

= ( [tex] \pi [/tex] r² ) * h ;
______________________________________________________

→ V = [tex] \pi [/tex] r² h ;

in which: "V = volume  {in "cubic units" ; or, write as " units³ " } ;

"r = radius length" ;

"h = height" ;
_____________________________________________________
→ Now, we shall solve for the volume, "V", of the given cylinder in this question/problem:
_____________________________________________________

→ V = [tex] \pi [/tex] r² h ;

in which: "r = radius = ? " ;

  → To find "r" ; We are given the diameter, "d = 40 mm" ;

→ Note that: "r = d/2 = (40 mm) / 2 = 20 mm " ;

{i.e., "the radius is half of the diameter".}.

  → " r = 20 mm " ;

  → " h = height = 30 mm " {given in figure) ;

  → For [tex] \pi [/tex] ; let us use " 3.14 " — which is a commonly used approximation.

→ For this question/problem, none of the answer choices are given "in terms of [tex] \pi [/tex] " ;
→ so we shall use this "numerical value" as an "approximation" ;
_______________________________________________________

Now, let us plug in our known values into the formula;
and calculate to find the volume, "V", of our given cylinder; as follows:
_______________________________________________________

  → V = [tex] \pi [/tex] r² h ;

= (3.14) * (20 mm)² * (30 mm) ;

= (3.14) * (20)² * (mm)² * (30 mm) ;

= (3.14) * (20)² * (30) * (mm³) ;

= (3.14) * (400) * (30) * (mm³) ;

= 37, 680 mm³
__________________________________________________

The volume is: " 37, 680 mm³ " ;

→ which is: Answer choice [C]: " 37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!

how to tell if an ordered pair is a solution to a function

Answers

A) yes
B) yes
C) no

For each of these, substitute the value of x in the ordered pair into x in the function.

For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.

For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.

For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.

How do you subtract mixed numbers

Answers

You arrange it like you would a regular number(numerator and denominator , or let me show you rather eh?

8 5/6 8 15/18
- = - = 6 7/18
2 4/9 2 8/18

So your answer is 6 and 7 over 18

Okay first you need to change the fractions into an improper fraction. So 8 5/6 become 53/6 ( multiply 6 and 8 then add 5), and 2 4/9 becomes 22/9(multiply 9 and 2 then add 4). Next you need to find a common denominator that 6 and 9 can go into which is 18. So you multiply the improper fractions by numbers that will make your denominator 18. Multiply 53 and 6 by 3 , and multiply 22 and 9 by 2. Your new fractions should be 159/18 and 44/18. Then you subtract the numerators and keep the denominator the same. The answer is 115/18. You can convert it back to a mixed number if you want. - Nae

there are 450 mangoes and oranges in a fruit stall.There are twice as many mangoes as there are oranges

Answers

equation is 2x (mangoes) + x (oranges) = 450.

2x + x = 450
3x = 450
x = 150

so now we have the amount of oranges= 150

150 * 2 = 300

so oranges = 150, mangoes = 300, and to check our work
150 + 300 = 450

x +2x=450
3x=450
x=450/3
x=150

there are 150 oranges and 300 mangoes

What is the size of the triangle angles?

Answers

That triangle would be right triangle. :) :)

HAPPY TO HELP

EXPLAIN AND NO ONE SENTENCE ANSWER

Answers

Draw a line from K to M. If you draw any angle whose vertex is on the upper side of KM, you get two angles that add to 180o. One of the angles is 104x + 1.

But ...

What do you do about the arc? It is 211o - 1? That value = the central angle. A central angle is the angle going from K to the center of the circle to M. 1/2 that amount is the angle going to anywhere on the arc of the circle. So that is 1/2 of 211 - 1 = 105.5x - 1/2

These two angles when added together = 180o

105.5x - 1/2 + 104x + 1 = 180o Collect like terms on the left
209.5x + 1/2 = 180 Subtract 1/2 from both sides
209.5x = 180 - 1/2
209.5x = 179.5 Divide by 209.5
x = 179.5 / 209.5
x = 0.8568

<KLM = 104*0.8568 + 1
<KLM = 89.1 + 1
<KLM = 90.1o <<<<< answer

PLEASE ANSWER CORRECTLY ASAP:

Solve this system of equations:

y = x2 – 3x + 12

y = –2x + 14

Substitute the values of x, –1 and 2, into either original equation to solve for the values of y.

What are the solutions of the system of equations?

One solution is (–1, __ )

The second solution (2, ___)

Answers

first one, subsitute x=-1 for x

[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(-1)^2-3(-1)+12[/tex]
[tex]y=1+3+12[/tex]
[tex]y=16[/tex]
so one solution is (-1,16)

2nd one, subsitute 2 for x

[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(2)^2-3(2)+12[/tex]
[tex]y=4-6+12[/tex]
[tex]y=10[/tex]
the second soltuion is (2,10)

so one solution is (-1,16)
the second solution is (2,10)

Answer:

Step-by-step explanation:

give brainliest

A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3, 4)
(3.5, 4)

Answers

The answer is...

(4,3)

Hope this helps!!! :)

-Jared

PLEASE HELP WITH #10

Answers

The variable r represents radius. The distance around the circle, if laid into a straight line, is 3 times as long, but has about 0.14 units left. The second power exponent tells us that the circle has two dimensions, not three like a sphere. I hope I answered your question, because some of it was cut off.

suppose the probability that a US resident has traveled to Canada is 0.18 to Mexico is 0.09 and to both countries is 0.04 what's the probability that an American chosen at random has travel to either Canada or Mexico

Answers

Canada OR Mexico OR both
0.18 + 0.09 + 0.04 = 0.31

what is the difference between theoretical and experimental probability

Answers

Theoretical probability is what you can calculate without regard to what will happen in the "real world." For example what is the theoretical probability of drawing a red king from a standard deck of cards (no jokers)? It would be 2/52 or 1/26 [The kings would be the king of diamonds and the king of hearts]. That makes absolutely no reference to what would happen in Vegas if you played this simple game for 10 hours.

Before I leave this part of the discussion, there is a computer simulation that mimics this game. It is called the Monte Carlo method. What you do is run a million draws from a computer deck of cards (1 to 52) and draw 1 card. If it is either the King of hearts or the king of diamonds you give yourself 1 point and record that a draw has taken place. If not you just record that a draw has taken place.

I just ran this simulation and out of a million draws, 38575/1000000 came back as successful. 1/26 = 0.03846 which means that the rounded version was accurate to 3 decimal places. But it was not the same as the theoretical draw.

A real world or experimental probability is like the Monte Carlo method. A survey is another real world or experimental probability. Who would have predicted the results of the last American election? Who would have thought that though Hillary got the popular vote, she was not elected?

Theoretical: what you calculate.
Experimental: what you get from a sample for example or a survey. Think elections or insurance policies.

How many natural numbers are from 17 to 28?

Answers

12 natural numbers are there
Natural numbers are all the numbers greater than zero so just count the number of numbers there and you will get the answer

Hello there, and thank you for asking your question here on brainly.

Short answer: 11

Why?

Natural numbers are any positive number. How many numbers are inbetween 17 and 28? That would be 11. You can subtract the two numbers to figure that out. {28 - 17 = 11}

Hope this helped you! ♥

which is an equation of the line that passes through the point (3,-1) and is perpendicular to 2y-3x=7

Answers

Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with?

which of the following values are zeroes for the function below? select all that apply. g(x)=(x^2+4x-12)(x-3)

Answers

what are your answer choices?

answer and explanation:

g(x)=(x^2+4x-12)(x-3)

(x+6)(x-2)(x-3)

x+6=0

-6 -6

x= -6

~~~~~~~~~~~~~~~~~~~

x-2=0

+2 +2

x=2

~~~~~~~~~~~~~~~~~~~

x-3=0

+3 +3

x=3

~~~~~~~~~~

answer: -6, 2, 3.

Two points move along a circle of length 120m with a constant speed. If they move in different directions, then they meet every 15 seconds. When going in the same direction, one point catches up to the second every 60 seconds. Find the speeds of the points.

Answers

Let x and y be the speeds of the two points. The circle is of length 120m that is Circumference of circle is 120m.When the points are moving in opposite directions, they meet in every 15 seconds.That is the points cover 120m in 15 seconds.As they are moving in opposite directions, so the relative speed will be equal to the sum of speeds of both points.Speed= Distance ÷Time = 120÷15=8m per seconds.

x+y=8

When going in the same direction, one point catches up to the second every 60 seconds.Speed= 120÷60=2 m per seconds

x-y=2.

Solving the two equations by elimination method:

x+y=8.

x-y=2

Adding the equations:

2x=10 ,x=5m / sec.

x+y=8

5+y=8

y=3m/sec.

Thus, the speed of the two points is 5 m/s and 3 m/s.

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