Factorize i) 6y? - 24 y
ii) 6pq - 4q + 6 - 9p
iii) x² + 14xy + 49y?
iv) 25y? - 16
v) 9x? – 30x + 25
vi) p+2p
-15
vii) y + 8y +12
Answers
answer for the first one
1) [tex]6 {y}^{2} - 24y[/tex]
[tex] = > 6y(y - 4)[/tex]
2) [tex]6pq - 4q + 6 - 9p[/tex]
[tex] = > (6pq - 4q) + ( - 9p + 6)[/tex]
[tex] = > [2q(3p - 2)] + [- 3( 3p - 2)] [/tex]
[tex] = > 2q(3p - 2) - 3(3p - 2)[/tex]
[tex] = > (3p - 2)(2q - 3)[/tex]
3) [tex] {x}^{2} + 14xy + 49y[/tex]
[tex] = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} [/tex]
[tex] = > {(x + 7y)}^{2} [/tex]
[tex] = > (x + 7y)(x + 7y)[/tex]
4) [tex]25 {y}^{2} - 16[/tex]
[tex] = > {(5y)}^{2} - {4}^{2} [/tex]
[tex] = > (5y + 4)(5y - 4)[/tex]
5) [tex]9 {x}^{2} - 30x + 25[/tex]
[tex] = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} [/tex]
[tex] = > {(3x - 5)}^{2} [/tex]
[tex] = > (3x - 5)(3x - 5)[/tex]
6) [tex] {p}^{2} + 2p - 15[/tex]
[tex] = > {p}^{2} + 5p - 3p - 15[/tex]
[tex] = > p(p + 5) - 3(p + 5)[/tex]
[tex] = > (p + 5)(p - 3)[/tex]
7) [tex] {y}^{2} + 8y + 12 = 0[/tex]
[tex] = > {y}^{2} + 2y + 6y + 12[/tex]
[tex] = > y(y + 2) + 6(y + 2)[/tex]
[tex] = > (y + 2)(y + 6)[/tex]
Related Questions
HELPPP DUE IN A COUPLE MIN MARKING BRAINLIEST ANSWER ASAP
Answers
Answer: See explanation
Step-by-step explanation:
15.) -7x + 6 (x - 8/2) - 2(x + 3) + 10
-7x + 6 (x - 4) - 2(x + 3) + 10
-7x + 6x - 24 - 2x - 6 + 10
Bring like terms together
-7x + 6x - 2x - 24 - 6 + 10
-3x - 20
16.) B, C, D
B. 3 (x + 2) + 4x
3x + 6 + 4x = 7x + 6
C. -2 + 4(x + 3)
-2 + 4x + 12 = 4x + 10
D. 3x + 5(x - 1)
3x + 5x - 5
8x - 5
17.) A, B, D
A. 1/5(x - 50)
1/5x - 10
B. 1/6(-x + 12)
-1/6x + 2
D. 1/2(x + 16)
1/2x + 8
can someone solve this
19 + (-60)
Answers
Answer:
-41
Step-by-step explanation:
Answer:
-41
if you add a negitive it's like you're subtracting it
Write the value with positive exponent (1/2)-4
pls answer fast pls
Answers
Answer:
wow no sabría como ayudarte
Identify the slope and y intercept (m= and b= ) y=-4xt6;
Answers
Answer:
y=b slope= 4/1
Step-by-step explanation:
Answer:
m=-4, b=6
Step-by-step explanation:
y=-4x+6
y=mx+b where m=slope and b=y-intercept
What is the mode of the data set (30,28,30,45,40,37,35)
28
30
45
37
Answers
Answer:
30
Step-by-step explanation:
mode is the number that occurs most of the time
since 30 appears twice in the data set
while the other numbers only appear once,
30 is the mode
▪︎Mode is the most frequently occurring element in a given data set.
The given data set :
[tex] =\tt 30,28,30,45,40,37,35[/tex]
Let us first arrange these numbers in ascending order :
[tex] =\tt 28,30,30,35,37,40,45[/tex]
As we can clearly observe, the number 30 occurs the most frequently.
Thus, the mode of this data set = 30
Therefore, the correct option is (b) 30
whats the missing varible for the following questions
Answers
Answers + Explanation:
1. x + 7 =10
if you know some number + 7 is 10, you know that number must be 3.
so, x = 3
the other way you can solve this would be:
x + 7 = 10
subtract 7 from both sides of the equation
x + 7 - 7 = 10 - 7
x = 3
2. Use the same strategy:
x - 8 = -5
add 8 to both sides of the equation
x - 8 + 8 = -5 + 8
x = 3
3. x + 3 = 6
subtract 3 from both sides of the equation
x + 3 - 3 = 6 - 3
x = 3
4. x + 6 = 3
subtract 6 from both sides of the equation
x + 6 - 6 = 3 - 6
x = -3
I will give 20 points to whoever answers this right
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
£469
Step-by-step explanation:
So 6 years mean it has depretiatied to 5.5*6 = 33% meaning the car is worth 67% of what it was originally worth
First do 700 / 100 to find what the car is equal to when it's 1% which is 7, after than multiply its new value of 67%,
so 7*67 = £469
Answer:
$469
Step-by-step explanation:
To find the amount of money that the car loses in value every year, multiply the price of the car by the rate its value depreciates at in decimal form.
The car depreciates at a rate of 5.5% per year. To find 5.5% in decimal form, move the decimal point to left twice. So, 5.5% in decimal form is 0.055.
700 * 0.055 = 38.5
The car loses $38.50 in value every year, so the car's value will depreciate by 6 times that amount in 6 years.
$38.50 * 6 = $231, so the car will lose $231 in value after 6 years.
700 - 231 = 469
The car will be worth $469 in 6 years.
evaluate bc + 5a
when a = 3, b = 4, and c = -6
Answers
Answer:
-15
Step-by-step explanation:
if b= 4 and c=-6 it would be 5 times -6 which equals to -30. since this equation needs to be done with pemdas you dont add just yet. then you go and multiply 5 times 3 which is 15. and then you can add both totals you got which would be 15 + -30.
Substitute x = -3 and y = -5 into the expression -7y² + 9x
Answers
Answer:
-202
Step-by-step explanation:
-7(-5)^2+9(-3)
-7*5^2-27
-7*25-27
-175-25
-202
PLS ANSWER ASAP!!!!! Which scatterplot suggests a linear relationship between x and y?
A) I only
B) I and IV only
C) I, II, and IV only
D) I, III, and IV only
Answers
Answer:
i think c isthe answér of it may be it is
Answer:
I and IV only
Step-by-step explanation:
I and IV only -- suggest a linear relationship between x and y.
A linear relationship has a line of best fit that can be drawn where most points are associated with the line.
The circumference of a circle with diameter is 28 is
Answers
Answer:
the answer is 87.96
Step-by-step explanation:
Answer:
87.92 units
Step-by-step explanation:
circumference = D x Pi = 28(3.14) = 87.92
Kristen takes a 75-inch by 40-inch rectangle of fabric and cuts from one corner of the piece
of fabric to the diagonally opposite corner. Now Kristen has two equally sized triangles of
fabric. What is the perimeter of each triangle
Answers
Answer: 40x70x70
Step-by-step explanation:
What Ratio Matches the chart
Answers
Solve the inequality 7(x+2)-5>3(x-1)
Answers
Answer:
x>-3
Step-by-step explanation:
I used a calculator
I need help I'm failing plzzzzz god bless you!
Answers
Answer:
S
Step-by-step explanation:
Answer:
Uhm I don’t see what u need help with?
Step-by-step explanation:
7x-3=18
What is x in the question i cbat figure it out
Answers
+3 for both sides
7x = 21
devide 7 for both sides
x = 3
Solve:
3х + y =
5x-7
when , y = 5
Show
your work
Answers
Answer: x=6
Step-by-step explanation:
Hope this helps
HELP ASAP
Work out
137% of 720.11kg
Give your answer rounded to 2 DP.
Answers
Answer:
The answer is 986.55 kg.
Step-by-step explanation:
When asked to find 137% of 720.11 kg, we can take the percentage, 137%, and convert it into a decimal by moving the decimal point over to the left twice.
137% = 1.37
After converting the percentage to a decimal point, we can multiply the original given value by the decimal.
720.11 kg x 1.37 = 986.5507 kg
And then we round to the nearest hundredths place, which will give us 986.55 kg.
The required evaluation of 137% of 720.11 kg would be 986.55 kg.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have to determine the evaluation of 137% of 720.11 kg.
⇒ 137% of 720.11
137% is expressed as 15/100 in fractional form
⇒ (137/100)(720.11 )
137/100 is expressed as 0.95 in decimal form
⇒ (1.37)(720.11 )
Apply the multiplication operation, and we get
⇒ 986.55
Therefore, 137% of 720.11 kg would be 986.55 kg.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Could someone help me with this!!
Answers
Answer:
new
words
to cause to be
one who
Step-by-step explanation:
neo means new
lex means to speak (words)
ize means to make (to cause to be)
er means the one (one who)
One hundred flowers are picked, and 82 die within the first twenty-four hours. What percentage of flowers are still alive after a day?
Answers
Answer:
After a day, 18% of the flowers remain
Step-by-step explanation:
One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?
Please help
Answers
Answer:
19.9875 feet
Step-by-step explanation:
The formula is given as:
Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.
1 inch = 0.0833 feet
Shadow of the student = 5ft
Height of the student = 5 feet 4 inches
4 inches to feet
= 4 × 0.0833 feet
= 0.33 feet
Hence: Height of the student = 5 + 0.33 = 5.33 feet
Shadow of the telephone pole = 18 feet 9 inches long
9 inches to feet
= 9 × 0.0833 feet
= 0.75 feet
Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet
Height of the telephone pole= x
Therefore:
5/5.33 = 18.75/x
Cross Multiply
5x = 5.33 × 18.75
x = 5.33 × 18.75/5
x = 19.9875 feet
The height of the telephone pole = 19.9875 feet
What is the value of x
Answers
Answer:
I think it would be 2
Step-by-step explanation:
hope it help and was rigjt
Answer:
x=5
Step-by-step explanation:
equation is 6x-5=5x
PLS HELP. CIRCUMFERENCE QUESTION! WILL GIVE BRAINLIEST
Answers
Answer:
L = 24,873.6 miles
Step-by-step explanation:
Length of the Circumference
Given a circle of radius r, the length of the circumference, or line surrounding the shape is:
The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:
r=7,917.5/2=3,958.75 miles
Assuming a plane flies around the equator at ground level, the distance it would travel is:
L = 24,873.6 miles
The sum of the digits of a certain two digit nuber is 12. when you reverse its digits you increase the number by 18.find the number
Answers
12+6 =18
Hope this helps!
Leave a like and brainliest
A square has sides of length 4xcm. A rectangle is 4x by (x+6) cm. The
area of the square is triple the area of the rectangle. Find the dimensions of
each figure.
Answers
Answer:
x = 18 cm
Step-by-step explanation:
(4x)^2 = 3(4x)(x+6)
16x^2=3(4x)(x+6)
divide both sides by 4x
4x = 3(x+6)
4x=3x+18
x = 18
Simplify the expression 10a + 5b + 3 - 25a + 2b - 18 + 3b - 5a pls!!!
Answers
Answer:
−20a + 10b − 15
Step-by-step explanation:
The expression simplified is: −20a + 10b − 15
hope this helps
HELP PLEASE!! THIS IS DUE IN A BIT
Answers
Answer:
my bestie john is correct!!
everything was correct
sam had 5 apples and kate gave her 5 more how many do she have now
Answers
Answer:
10
Step-by-step explanation:
She then received 5 more from Kate
5+5= 10
She has 10 apples now.
Select the correct answer
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where Ttails and heads.
What is the difference between the theoretical and experimental probabilities of getting heads?
please help ill mark you the brainlyest!!!!
Answers
Answer: The answer is most likely 0.3
Step-by-step explanation:
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
This question is solved using the concepts of theoretical and experimental probabilities.
Theoretical probability: Calculated without considering previous trials. Experimental probability: Calculated considering previous trials.----------------------------
Theoretical probability:
A fair coin means that it is equally as likely to be heads or tails, so 0.5 theoretical probability of getting heads.
----------------------------
Experimental probability:
Out of 10 trials, 2 resulted in heads, so 2/10 = 0.2 experimental probability of getting heads.
----------------------------
Difference:
0.5 - 0.2 = 0.3
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
A similar question is found here: https://brainly.com/question/23995602
Please help me on this I need help
Answers
Answer:
49.92
Step-by-step explanation:
Square = 30
5 x 6 = 30
Half Circle = 9.42
6 x 3.14 = 18.84 divided 2 since it’s a half circle equals 9.42
Triangle = 7.5
3 x 5 = 15 divided by 2 = 7.5
So, 30+ 9.42 + 7.5 = 49.42