Factor quadratic trinomials

Factor Quadratic Trinomials

Answers

Answer 1
1. (x - 9) + (x + 5)
You split the x^2 into two xs
The one with an x (-4x) is what the two numbers should equal
-9 + 5 = 4
The one without an x (-45) is what the two numbers product should be
-9 times 5 = -45
*so remember the x is the sum of the two
*no x is the product of the two
Theres no quick trick to find the answer u just have to plug it in
*start with all the numbers that multiply for the no x (-45)
-3 and 15 or 3 and -15 is obviously not it as the sum does not equal -4
Those sums equal 12 or -12
I’ll do one more and ur on ur own comrade (ok and ill do number 4)
3. (x - 8) + (x - 9)
ok this time both the answers have a negative
*if it has only one negative in the problem there are going to be TWO negatives in the answer
-8 and -9 sum is -17
-8 and -9 sum is 72
If there was only one negative in the answer it would make the 72 negative and there is no -72 in the problem
So this one is
(x - 8) + (x - 9) (u dont have to have it like this u can put the (x - 9) in the front doesn’t matter which way it’s just the signs (- & +) that matter
OK now 4.
4. This one is very easy as all u need to do is find the two numbers for the product
(X - 6) (X + 6)
(Again it doesn’t matter which () is in front just the SIGNS INSIDE THE PARENTHESES ( + & - )
GL


Related Questions

Direction: Read and understand each problem and solve. Show your solution if necessary.

1. There are 3 gold medalist, 5 silver medalist and twelve bronze medalists. One student is randomly chosen for an interview. Find the probability that the student is a silver medalist.

2. A letter is chosen from the word MATHEMATICS. What is the probability that the letter is?
a. consonant?
b. vowel?
c. not a letter A?

3. Suppose the probability that a television is defective is 0.123. What is the probability that a television is not defective? ​

Answers

[1] 0.25, 0.25%, or [tex]\frac{1}{4}[/tex]

     We will divide the number of wanted outcomes by possible outcomes.

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}[/tex]

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}[/tex]

(b)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}[/tex]

(c)

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}[/tex]

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

(6+9i)(6-9i) How to solve?

Answers

[tex]~~(6+9i)(6-9i)\\\\=6^2-(9i)^2~~~~~~~~~~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)]\\\\=36-81i^2\\\\=36-81(-1)~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=36+81\\\\=117[/tex]


PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE

According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's

Answers

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84

Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

True or False? A circle could be circumscribed about the quadrilateral below.
O A. True
B. False

Answers

The Answer is A, which is true.

A circle could be circumscribed about the quadrilateral is true.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points

If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.

Here, the opposite sides are 115 and 65

115+65=180

The other opposite sides have 90 and 90

90+90=180, which means that it is true that a circle can be circumscribed about the quadrilateral above.

Hence, A circle could be circumscribed about the quadrilateral is true.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ7

Which expression is equivalent to (4mn/m^-2n^6)^-2

Answers

The expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]

How to determine the equivalent expression?

The expression is given as:

(4mn/m^-2n^6)^-2

Apply the law of indices

[tex](4m^{1 + 2}n^{1-6})^{-2[/tex]

Evaluate the sum and the differences

[tex](4m^{3}n^{-5})^{-2[/tex]

Apply the negative exponent

[tex]\frac{1}{16m^{2*3}}}n^{5*2}[/tex]

Evaluate

[tex]\frac{1}{16m^{6}}n^{10}[/tex]

Rewrite as:

[tex]\frac{n^{10}}{16m^{6}}[/tex]

Hence, the expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ1

Choose the function whose graph is given by

Answers

Answer:

cos(x)+1 or cos x + 1

Step-by-step explanation:

The wave starts at y=2 this means it is a cosine function, then the first positive x-intercept is at about (pi, 0) which is about 3, this leads to cos x + 1 as the answer.

Pls help asap I’ll give brainliest show all your work to pls

Answers

Answer:

It takes 13 hours and 15 minutes to paint longer walls of the house

Step-by-step explanation:

Given:

Rectangular house. Painting of the longer walls takes 8 hours longer than painting shorter walls.Total time to paint is 18.5 hours.

Let the length of shorter sides be x and longer sides be y.

Then we have the system:

y = x + 8x + y = 18.5

Solve it by substitution:

x + x + 8 = 18.52x + 8 = 18.52x = 10.5x = 10.5/2x = 5.25

Find the value of y:

y = 5.25 + 8 = 13.25 hours or 13 hours and 15 minutes

Shorter one be x

longer one=x+8

Total time=18.5h

So

x+x+8=18.52x+8=18.52x=18.5-82x=10.5x=10.5/2x=5.25hours

Time required for longer side

5.25+813.25hours

1. A basketball has a volume of 167 in³. What is the circumference of the basketball, in terms of ? Show your work.​

Answers

Answer:

21.47034391

by using the formula of volume i found radius and after that i use the formula of circumference and found it

hope you will understand

volume=4/3πr^3 and circumference= 2πr

somebody pls help me with this question pls

Answers

292in^3
3x6x10=180 because I’ve split the shape in half
7x4x4=112
180+112=292

Factor, using magic x. x^2-8x-9
PLEASE HELP VERY URGENT THE SOONER THE BETTER.

Answers

Answer:

(x+1)(x-9)

Step-by-step explanation:

x^2+x-9x-9=0
x*(x+1)-9(x+1)=0
(x+1)(x-9)=0
x+1=0
x-9=0
x=-1 and x=9

I NEED HELP ASAP Which graph represents the function?


f(x)=√x + 1

Answers

Answer:

Step-by-step explanation:

It looks like the best option is 3.

Given the equation,

we can make a table. x as input and y as output to get our points to the graph.

I have used the desmos graph as a reference to confirm the equation by graphing also. The table is also there.

A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45

Answers

Answer:

162 metres

Step-by-step explanation:

Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.

Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get

10^2/8 = 45^2/h2

h2 = 45^2/(10^2/8) = 162 metres

I hope this helps!

what is measured by the speed of doing work

Answers

Power is often measured in joules of work per second

(5√3-√27)^2
How do you prove this is an integer?

Answers

Expand the square. Remember that

(a - b)² = a² - 2ab + b²

With a = 5√3 and b = √27, we have

(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²

… = 25•3 - 10√81 + 27

… = 75 - 10√(9²) + 27

… = 102 - 10•9

… = 102 - 90

… = 12

Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0

Answers

Answer:

-2x²-3x+5=0

-2x²+2x-5x + 5 = 0

-2x(x+1)-5(x + 1) = 0

(x+1) (-2x-5) = 0

which description is represented by a discrete graph

Answers

The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

What is Discrete Graph?

A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.

Here only first option shows a graph with scattered point.

Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

Learn more about Discrete graph from:

https://brainly.com/question/9697809

#SPJ1

Anya graphed the line (y−2)=3(x−1) on the coordinate grid.

A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).

What is the slope of Anya’s line?

Answers

The slope of Anya’s line on the graph is 3

How to determine the slope of the line?

The equation is given as:

(y−2)=3(x−1)

Remove brackets

y − 2 = 3x − 3

Add 2 to both sides

y = 3x − 1

A linear equation is represented as:

y = mx + c

Where m represents the slope;

By comparison, m = 3

Hence, the slope of Anya’s line is 3

Read more about slope at:

https://brainly.com/question/1884491

#SPJ1

Answer:

3

Step-by-step explanation:

its right

How would you solve this problem step by step ?

4√15(2√2 + √5)

Answers

[tex]~~4\sqrt{15} \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8\sqrt{15} \sqrt 2 + 4\sqrt{15} \sqrt 5\\\\=8\sqrt{15\times 2}+4 \sqrt{15 \times 5}\\\\=8\sqrt{30}+4\sqrt{3 \times 5 \times 5}\\\\=8\sqrt{30} + 4 \sqrt{3\times 5^2}\\\\=8\sqrt{30} + 4\cdot 5 \sqrt 3\\\\=8\sqrt{30} +20\sqrt{3}[/tex]

Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees

Answers

Answer:

110 is the correct answer...

the answer is 110 so it would be B

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1

Answers

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

Given the following data:

u(x) = x⁵ – x⁴ + x²v(x) = -x²

What is an expression?

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]

Therefore, u(x)/v(x) = -x³ + x² - 1.

Read more on expressions here: https://brainly.com/question/12189823

#SPJ1

Answer:

c

Step-by-step explanation:trust

Solve the inequality.
|6p+3|>15

A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3

Answers

Answer:

D. P>2 or p<-3

Step-by-step explanation:

1. Apply absolute rule :

6p + 3 < -15 or 6p + 3 > 15

2.6p + 3 < -15 or 6p + 3 > 15

P < - 3 or P > 2

Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3

Answers

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].

The famous quadratic formula for solving any second order equation is the following:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]

Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,

[tex]a = 3\\b=4\\c=-2[/tex]

as the equation should be in the following form:

[tex]a x^2 + bx+c = 0[/tex]

Therefore the possible answer should be the following,

[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]

by dividing the numerator and denominator by 2, we can deduce the following,

i need help please thanks​

Answers

same, highest exponent

1. Basketball practice begins at 6:30 P.M. and
lasts until 8:15 P.M. How much time does
practice last?

Answers

1 hour and 45 minutes

What is the missing reason for the 4th step in the proof below?

Answers

The reason for step 4 that is missing is: definition of linear pair.

What is a Linear Pair of a Straight Line Angle?

A line pair are two angles on a straight line whose sum equals 180 degrees.

Angles ANV and ANR line on a straight line and are therefore linear pair. This implies that:

m∠ANV + m∠ANR = 180 degrees

Therefore, the missing reason is: definition of linear pair.

Learn more about linear pair on:

https://brainly.com/question/13218054

#SPJ1

What is GC?
A. 9
B. 12
C. 13
D. 14

Answers

Answer:

C 13

Step-by-step explanation:

i think answer its c

Answer:

nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12

Simplify the expression: 4+(11-3)²

Answers

Answer:

68

Step-by-step explanation:

[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]

It is 68 because in PEMDAS, you solve parentheses first, so 11-3 is 8, then you solve exponents so 8 to the second is 64, then add 64 and 4 to get 68

37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280

Answers

The equation that models the scenario is 16p+32q = 1,280.

Which equation models the scenario?

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

1. How many solutions does the equation have?
8x −6(2x − 2) = -12 + 2x + 15
-
No Solutions
One Solution
OTwo Solutions
An infinite number of solutions

Answers

an infinite number of solutions

5. Jared is playing a game that involves rolling a die and flipping a coin. 6. Please describe an event that may occur in this game. 7. What is the probability that he will roll a 5 and get a head

Answers

An event that may occur in the game is you roll a  and get a tail.

The probability that he will roll a 5 and get a head is 1 / 12.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)

1/6 x 1/2 =  1 / 12.

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Other Questions
Earth has a bulge near the Equator due to its rotational momentum.TrueFalse Use the ideal gas law to calculate the pressure inside of a 1L compressed gas tank, with a temperature of 273.15K filled with 13moles of CO2 Question options: A. 567.74 kPa B. 21.01 kPa C. 3550.95 kPa D. 0.05 kPa health journal should address only the specific target behavior rather than the circumstances around that behavior. Group of answer choices true false PLEASE HELPWhich phrase describes the purpose of reasons in a persuasive essay?---to show how ideas connectto prove evidenceto express an opinionto support a claim 3. Find f(5)+j(-2) if f(x)=12-3x and j(x)=x + 4x - 1.HELP ME PLEASEEEE Cell division involvesO none of theseO cytokinesisO mitosisO mitosis and cytokinesis What is the name of the red dot located on the curve of the parabola below?O A. CenterB. FocusC. VertexD. Directrix A teacher has a large container of blue, red, and green beads. she reports to the students that the proportion of blue beads in the container is 0.30. the students feel the proportion of blue beads is lower than 0.30. a student randomly selects 60 beads and finds that 12 of the beads are blue. the p-value for the test of the hypotheses, h0:p=0.30 and ha:p A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm of the wood has a mass of 0.7 g para el dilogo, la raya debe ubicarseA antes y despus de la intervencin.B al intervenir el ltimo personaje.C al intervenir el primer personaje.D antes de la intervencin. Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?A. 0.75x = 0.8(x + 10)B. 0.75(x + 10) + 0.8x = 101C. 0.75x + 0.8x + 10 = 101D. 0.75x + 0.8(x + 10) = 101Jared attempted ____ shots.Zach attempted ____ shots. the loud cheers and boos of the crowd fortified the confidence of the home team, while depressing the spirits of the visitors Based on context clues in the reading,define"fortified" A-build up B-destroyed C-weakened D changed need help with state and local government^ there is a photo attached What do the "sports" enjoyed by people I ancient Rome Tell us about the value of human life in that time and place? Why do you think this was? Copy and paste your code from the previous code practice. If you did not successfully complete it yet, please do that first before completing this code practice.After your program has prompted the user for how many values should be in the array, generated those values, and printed the whole list, create and call a new function named sumArray. In this method, accept the array as the parameter. Inside, you should sum together all values and then return that value back to the original method call. Finally, print that sum of values. imagine that you are a journalist who gets an opportunity to inter view a nation team hockey player who has won a lot of international titles. write the interview in the form of dialogues by including at least 15 questions by the journalist. 6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.What was the original volume in liters?Enter your answer as a decimal to the 10th place, like this: 4.2 l A balloon inflated in a room at ayo has a volumeof 4,004, the balloon is then heated to a tempicture of58C. What is the new volume if the pressure remains constient? From which geographic region are all three empires located in? What can be the examples of human resources required for tourism sector enlist any four