Answer:
x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36Step-by-step explanation:
x2 + 5x + 6Let us try factorizing this polynomial using splitting the middle term method.
Factoring polynomials by splitting the middle term:
We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.
On solving this we obtain, a = 3 and b = 2
Thus, the above expression can be written as:
x2 + 5x + 6
= x2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.
For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:
(p, q, p+q)
(1, 56, 57)
(-1, -56, -57)
(2, 28, 30)
(-2, -28, -30)
(4, 14, 18)
(-4, -14, -18)
(7, 8, 15)
(-7, -8, -15)
Use those pairs of numbers and their sums to fill in the three columns of your table.
STEP 2 Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8). STEP 3 Using the information from steps 1 and 2, you can factor the trinomial like this: x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8) FOIL that back out if you'd like, to make sure the expressions are equivalent. STEP 4 Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).Answer:
1) Factor the trinomial. Show ALL work:
(x-2)(x-3) steps see explanation
2) Factor the polynomial using grouping.
Group and factor out the greatest common factor (GCF), then combine.
[tex](5x-2) (x^{2} +5)[/tex]
4) Choose ONE of the following polynomial and factor completely.
15x2 − 35 = [tex]5 (3x^2-7)[/tex]
Step-by-step explanation:
x2−5x+6
The middle number is -5 and the last number is 6.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that
Add together to get -5
Multiply together to get 6
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_)(x+_)
with -2 and -3 to get...
(x-2)(x-3)
4( Choose ONE of the following polynomial and factor completely,
15x^2-35
35 as 5*7
15 as 5*3
= 5*3x^2-5*7
What is the magnitude of -3 + 4i?
The magnitude of the complex number -3 + 4i is 5.
To find the magnitude of a complex number, we use the formula:
Magnitude = √(real^2 + imaginary^2)
In this case, the complex number is -3 + 4i.
The real part is -3, and the imaginary part is 4.
Using the formula, we can calculate the magnitude:
Magnitude = √((-3)^2 + 4^2)
= √(9 + 16)
= √25
= 5
Therefore, the magnitude of the complex number -3 + 4i is 5.
for such more question on magnitude
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In APQR, what is the mZQ? Enter your answer in the box.
Answer:
∠Q = 105°
Step-by-step explanation:
(6x + 5) + (11x - 5) + x = 180°
combine like terms:
18x = 180°
x = 10°
∠Q = 11(10) -5 = 105°
Which product is greater than 63
Answer:
3/2 times 63
Step-by-step explanation: took quiz
I NEED HELP WITH A PROPLEM
Answer:
A 121 m^2
Step-by-step explanation:
Determine the x- and y-
intercepts of 2x - 5y = -10.
O (-5,0) and (0, 2)
(2.0) and (10,0)
O (5.0) and (0,5)
geometry 10 long 2.75 wide triangle what is the area?
Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning. After 9 hours of buring, a candle has a hight of 22.2 centimeters. After 23 hours of burning, it's heigh is 16.8 centimeters. What is the height of candle after 19 hour
Answer: cockme
Step-by-step explanation:
cockme
A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?
Answer:
3/4
Step-by-step explanation:
So remembering the length times width formula:
Put it in an equation-
(2x+1)(4x-3)
Now start to solve for x:
Multiply using 'foil' method:
(2x+1)(4x-3)
8x -6x + 4x -3
8x -2x -3
Now, factrorize 8x^2 - 2x - 3: (Put a square since this is square measures)
8x^2 - 2x - 3 Sum = -2
Product = -24
Two numbers that give you the sum of -2 and product of -24:
-6 and 4
So now factor out like terms:
8x^2 -6x + 4x -3
2x(4x - 3) + 1(4x - 3)
(2x + 1) (4x-3) = 0
Solve for x in both:
2x + 1 = 0
x = -1/2
4x - 3 = 0
x = 3/4
The area cant be negative so the area in terms of x is:
x = 3/4
(Hope this helped)
Question 7(Multiple Choice Worth 5 points)
(04.02 MC)
The two-way frequency table contains data about students' preferred exercise.
Likes running 28
Does not like running 46
Column totals 74
What is the joint relative frequency of students who do not like to run and enjoy swimming?
O23%
37%
Enjoys swimming Enjoys cycling Row totals
62
90
64
110
126
200
46%
072%
The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.
The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.
Given the following information from the table:
Likes running: 28
Does not like running: 46
Column totals: 74
Enjoys swimming: 62
Enjoys cycling: 90
Row totals: 110
The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:
Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)
From the table, the number of students who do not like running and enjoy swimming is given as 46.
Total number of students is given as 74.
Joint relative frequency = 46 / 74
Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.
Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.
In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.
To know more about Frequency .
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The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m^2 . Find the dimensions of the rectangle.
W
L=2w-3
Area=(L×w)
65=[(2w-3)×w]
65 =(2w²-3w)
65=2w²-3w
2w²-3w-65=0
by using the quadratic equation
you'll get 2 values in which one will be negative
Obviously a length can't be negative so you take the positive.
w=6.5m
L=2(6.5)-3
=10m
HELPPP!!! i need to know this asap!!
Answer:
The first option
(-10, -7)
Step-by-step explanation:
Also I really like your pfp <33
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
A. 10.92 units
B. 12.68 units
C. 13.43 units
D. 18.27 units
Answer:
B 12.68
Step-by-step explanation:
you will need to find the distance between each segment-
so the length of DC, CF, FE, ED
[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
DC:
D(-2,-1) C(-1,2)
[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]
CF:
C(-1,2) F(1,1)
[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]
FE
F(1,1) E(2,-2)
[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]
ED
E(2,-2) D(-2,-1)
[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]
3.16+2.24+3.16+4.12= 12.68
A 2-gallon jug of juice costs $14.72. What is the price per cup?
Answer:
3we
Step-by-step explanation:
rffd
Change 7 kilograms into grams.
Answer:
it's. 7000
Step-by-step explanation:
1 kg = 1000 g
7 kg × 1000 g = 7000g
Answer -. 7 kg = 7000 g
Thanks
Which of the following statements would be true about the product of 6 and 1 3/4?
Answer:
Where is the question
Step-by-step explanation:
:\
Answer:
[tex] \frac{21}{2} [/tex]
[tex]10 \times\frac{1}{2} [/tex]
Step-by-step explanation:
6/1 • 7/4= 42/4
Pleaseeeeeeeeeeee helpppp
Answer:
I think is 40Step-by-step explanation:
good luck
Answer:
i don know what because this makes no sense
Step-by-step explanation:
good luck
what is the volume of a cylinder with a diameter of 10 and a height of 4
Answer:
V = 314.16
Step-by-step explanation:
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
Jasmine was expected to get $150 for her bonus, but she only got $100. What was the percent error?
Answer:
Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?
-----
Amt of error:: $50
----------
% error:: 50/150 = 1/3 = 33 1/3%
You roll a fair die three times. What is the probability of each of the following? a) You roll all 2's. b) You roll all odd numbers. c) None of your rolls gets a number divisible by 3. d) You roll at least one 4. e) The numbers you roll are not all 4's.
Answer:
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]
[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2} =\frac{2}{8}[/tex]
[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6} =[/tex][tex]\frac{8}{27}[/tex]
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]
[tex]\frac{8}{27}[/tex]
2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.
Answer:
D. 6x-5
Step-by-step explanation:
I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol
A rectangular prism has a height of 5 meters a length of 8 meters and a width is 9 meters. What is the volume of the prism
Consider the following number line:
B
C
A+
11
=>
1
0
Drag the following cards to match each point to its value.
Point Value
А
1
5
B
0.8
3
5
Answer:
The pink A goes to the Green C on the number line. the green C goes to the pink A on the number line. The Blue B goes to the Blue B in the number line.
Step-by-step explanation:
hope it helped ;)
If the two spinners below are spun, what is the probability that the numbers will add to less than six?
Answer:
3/4 or 75%
Step-by-step explanation:
There are twelve possible outcomes. (4 green for each of the three orange).
The only combinations that add up to six or more are 2&4, 3&3 and 3&4.
That’s 3 out of 12. So 9 out of 12 combinations will add up to less than 6.
9/12=3/4 or 75%
Answer:
3/4
Step-by-step explanation:
Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?
Answer:
54
Step-by-step explanation:
16 x 3 is 48 then plus 6 is 54
What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base
diameter of 18cm? Round to the nearest tenths place.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
The first one and the fourth one
Step-by-step explanation:
I’m pretty sure that is right
Answer:
A and C in my options below!
Step-by-step explanation:
3^2*3^-6 = 0.0123456790123
A. (3^-2)^2 = 0.0123456790123
B. 2^-12 = 0.000244140625
C. 1/3^4 = 0.0123456790123
D. (3^7)/3^3 = 81
Please help i'll give brainliest please dont attach file
You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?
Answer: 10=8 11=9 12=10 13=11 14=12 15=13 16=14 17=15
Step-by-step explanation:
From the previous video: At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest
compounded monthly. In the previous question, we found that the value of the annuity at age 65 would be $77,119.43.
How much interest did you earn?
Round your answer to the nearest cent and do NOT include the dollar sign.
Do NOT round until you have calculated the final answer.
Answer: 32119.43
Step-by-step explanation:
Answer:
Step-by-step explanation:
74059.64