Answer:
a) (x+6)(x-1)
b) (x+8)(x-5)
c) (x+3)(x-10)
Step-by-step explanation:
The final answer would always have to be two brackets with x and the relevant variables.
x²: You know the possible factors that can be multiplied together would be x and x. Each factor would have to be in different brackets, so we get (x + smth else)(x +smth else)
When factorising quadratic expressions, you need to find the correct pair of factors, that when multiplied together, becomes the constant of the expression. They also need to become the middle term when they are multiplied with the term in the bracket and then added together.
Possible factors for a):
1. 1 × 6 = 6
2. 2 × 3 = 6
You know 1 - 6 = -5, so we shall use the factors 6 and 1.
(x+6)(x-1) = x² -x + 6x - 6
= x² + 5x - 6
Thus, (x+6)(x-1) is the answer.
Possible factors for b):
1. 1 × 40 = 40
2. 2 × 20 = 40
3. 4 × 10 = 40
4. 5 × 8 = 40
You know 8 - 5 = 3, so we shall use the factors 8 and 5.
(x+8)(x-5) = x² -5x + 8x - 40
= x² + 3x - 40
Thus, (x+8)(x-5) is the answer.
Possible factors for c):
1. 1 × 30 = 30
2. 2 × 15 = 30
3. 3 × 10 = 30
4. 5 × 6 = 30
You know 3 - 10 = -7, so we shall use the factors 3 and 10.
(x+3)(x-10) = x² -10x + 3x - 30
= x² - 7x - 40
Thus, (x+3)(x-10) is the answer.
a)
x² - 5x - 6
= x² + x - 6x - 6
= x(x + 1) -6(x + 1)
= (x - 6) (x + 1)
b)
x² + 3x - 40
= x² + 8x - 5x - 40
= x(x + 8) -5(x + 8)
= (x - 5) (x + 8)
c)
x² - 7x - 30
= x² - 10x + 3x - 30
= x(x - 10) + 3(x - 10)
= (x + 3) (x - 10)
help me with this please
simplify
Answer:
[tex] 3^{12} [/tex]
Step-by-step explanation:
[tex] \dfrac{(3^5)^2}{3^{-2}} = [/tex]
[tex] = \dfrac{3^{10}}{3^{-2}} [/tex]
[tex]= 3^{10-(-2)}[/tex]
[tex] = 3^{10 + 2} [/tex]
[tex] = 3^{12} [/tex]
Answer:
[tex]3^{12}[/tex]
Step-by-step explanation:
[tex]\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}[/tex]
What is the average rate of change of the function f(x)=x2 on the interval from x=2 to x =4
12.
10
6
2
What is the measurement of
3/5 divided by what makes 3/10
I will make it the brain lieset answer
Answer:
5
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
We will use the KFC method to figure out the answer:
3/5 ÷ 2/1
We keep the first fraction
3/5 ÷ 2/1
Flip the last fraction (swap the numbers)
3/5 ÷ 1/2
Change the sign (to a multiplication symbol)
3/5 x 1/2
Then, finally, to solve for the answer, we multiply across (3 x 1 and 5 x 2).
3 x 1 = 3
5 x 2 = 10
The answer is 3/10 because it cannot be simplified any further.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
What is 72 Divided by 2= ??
Answer:
72 / 2 = 36
Step-by-step explanation:
Look at 7 first and figure out how many times 2 will go into 7. 2 will only go into 7 three times. (2 x 3= 6) So put 3 at the top of your division problem and subtract 6 from 7. You should get 1. Then, bring down your 2 to make that one a 12. How many times will 2 go into 12? 6 times. 6 x 2 equals 12 so put 6 at the top of your division problem next to that 3. Subtract your 12 from 12 to get 0. Your final answer would be 36.
Hope this helped!
The division of 72 and 2 is 36.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given numbers are 72 and 2.
72 divided by 2
Here, 72/2
Where, 72 is dividend and 2 is divisor.
72/2 = 36
So, quotient is 36
Therefore, the division of 72 and 2 is 36.
To learn more about the division visit:
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HELP ASAP
Betsy cut up 5 apples to make a pie. In total there were 35 apple seeds. On average, how many seeds were there per apple?
Answer:
7
Step-by-step explanation:
what is the measure of ACD?
- 100
- 130
- 50
- 80
Answer:
130°
Step-by-step explanation:
80+50= 130
180-130=50
180-50=130°
A cone is 10 inches tall and has a radius of 3 inches. What is the cone's volume?
O 314 cubic inches
942 cubic inches
2026 cubic inches
O 847 8 cubic inches
I need help please
Answer: SAS
Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.
Help! Due soon! :) help me out and get some points
Answer:
15
Step-by-step explanation:
Answer:
Option C
explanation:
Substitute in 11 to get -4+55=18+33. 51=51 is a correct statement.
What is the mistake PLEASE HELP
3-(-2) -5
1 - 5
-4
Answer:
your answer would be 0
Step-by-step explanation:
3-(-2)-5
3+2-5
5-5
0
Sita and Radha purchased a car for rupees 320000 due to some economic problem they sold it for 280000.find the loss incured and loss percentage
Answer:
40000 and 12.5% respectively
Step-by-step explanation:
soln:
given,
cost price(c.p)=320000
selling price(s.p)=280000
loss(l),loss percentage(l%)=?
we know,
l=c.p-s.p
or,l=320000-280000
•°•l=40000
now,
l%=l/c.p*100%
or,l%=40000/320000*100%
•°•l%=12.5%
WILL MARK BRANLIEST IF GOTTEN RIGHT
Answer:
1. Angles 2 and 5.
Step-by-step explanation:
Vertical angles are the angles that are opposite each other when two straight lines intersect.
Answer:
angle 2 and angle 5
Step-by-step explanation:
solve for x. 3(x- 4)=15x
Answer:
x=-1
Step-by-step explanation:
3(x−4)=15x
Use the distributive property to multiply 3 by x−4.
3x−12=15x
Subtract 15x from both sides.
3x−12−15x=0
Combine 3x and −15x to get −12x.
−12x−12=0
Add 12 to both sides. Anything plus zero gives itself.
−12x=12
Divide both sides by −12.
x=
−12
12
Divide 12 by −12 to get −1.
x=−1
Answer:
[tex]3(x- 4)=15x[/tex]
[tex]3x-12=15x[/tex]
[tex]3x-12+12=15x+12[/tex]
[tex]3x=15x+12[/tex]
[tex]3x-15x=15x+12-15x[/tex]
[tex]-12x=12[/tex]
[tex]\frac{-12x}{-12}=\frac{12}{-12}[/tex]
[tex]x=-1[/tex]
(ANSWER ASAP) i really need this done by tomorrow
Answer:
answer is 2
Step-by-step explanation:
5 - 1 / -5 - (-3)
4/2
2
Answer:
The correct answer would be 2
Step-by-step explanation:
If f(x) = 4x+7 and g left parenthesis x right parenthesis space equals fraction numerator 1 over denominator 2 x end fraction w h a t space i s space t h e space v a l u e space o f space left parenthesis f over g right parenthesis left parenthesis 5 right parenthesis ?
Answer:
270
Step-by-step explanation:
its on my test this is the right answer
What is 2,070,000 written in scientific notation?
A.20.7 x 10^6
B.2.07x 10^5
C.2.07x 10^6
D.20.7x10^5
Answer:
C.) 2.07 × 10^6
Hope this helped you!
If so can I please have Brainliest??
Thank you for taking your time to read this, Love!~ <3
The solution is Option C.
The value of the number 2,070,000 written in scientific notation is
A = 2.07 x 10⁶
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 number be represented as A
Now , the value of A is
A = 2,070,000
Now , to write the number in scientific notation ,
Multiply the number 207 with powers of 10
So , the value of A will be
A = 207 x 10⁴
Now , the number 207 can be written as 2.07 x 10²
On simplifying the equation , we get
A = 2.07 x 10² x 10⁴
A = 2.07 x 10²⁺⁴
A = 2.07 x 10⁶
Therefore , the value of A is 2.07 x 10⁶
Hence , the value of the number is 2.07 x 10⁶
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The freshmen class is going on a field trip.There are 316 people going.six people will be traveling by car and these are five buses.How many people must ride on each bus?
Answer:
Step-by-step explanation:
307 divided by 7 is the number of students in each bus with the remainder 6. As the 6 students cannot be fit into the bus and had to travel by car.
Thus we can conclude that:
307= 7x + 6 (6 extra students)
Take away 6 on both sides
7x = 301
i hope this helps i tried my best
x= 43
There are 43 students on each bus.
Answer:
62 people on each bus
Step-by-step explanation:
316-6=310.
310÷5=62 so there will be 62 people riding on each bus.
16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!
Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is
Answer:
Umm ty!
Step-by-step explanation:
Answer:
Fraction is: 203/1250
Decimal is: 0.1624
Step-by-step explanation:
Thank you for the points! Please mark this as brainliest! :)
Who knows how to do this I TRULY NEED HELP
Answer:
is the answer 7ft?
Step-by-step explanation:
i am not completely sure
Set up a ratio of the height over the distance to the mirror/
X/5 = 28/7
Cross multiply:
7x = 140
7? = 140
Divide both sides by 7
? = 140/7
? = 20
The answer is 20 feet
9. The figures are similar. Find x.
9.
9
40
X
24
Answer:
yes it's on a 1.5 scale factor.....I think. The question you put at the top threw me off at first but the picture makes sense. I'm not entirely sure if this is right but if you adjust the triangle to be the same way as the other one then you will see which sides correspond to each other. Each number can be multiplied by 1.5 to get the number that is on the side of the other triangle that corresponds with it....if that makes any sense
Wil has a coin collection and is currently adding 9 coins per day to his existing number of coins in his collection.After 22 days he has a total of 218 coins. How many coins will he have after 36 days?
Answer:
344
Step-by-step explanation:
Number of coins added per day in the collection = 9
Number of coins in the collection after 22 days = 218
To find:
Number of coins in the collection after 36 days.
Solution:
First of all, let us find how many coins did he have initially.
Let the number of coins present initially with Wil = [tex]x[/tex]
Number of coins added per day = 9
Number of coins added after 22 days = 22 [tex]\times[/tex] 9 = 198
Therefore,
[tex]x + 198 = 218\\\Rightarrow x = \bold{20}[/tex]
Number of coins present with Wil initially = 20
Number of coins added after 36 days = 36 [tex]\times[/tex] 9 = 324
Total number of coins after 36 days = Number of coins present initially with Will + Number of coins added = 324 + 20 = 344
Press on the picture to see the full picture. I’m really stuck
Answer:
D is the answer
Step-by-step explanation:
A filled circle means "or equal to" in which this case the symbol is less than or equal to, making the dot filled. Since 2 is greater than x, the line would start on the two and continue farther down the line to show that anything 2 or greater is more than x.
please help!!!
What are possible input/output combinations for the equation y=(1/3)x -2
Enter there values in the box, and if that doesn't work, use coordinate pair form (x, y)
Hint: use the multiples of the denominator so you work with whole numbers.
Answer:
(3, 1), (6, 2), (9, 3)
Step-by-step explanation:
x = 3
[tex]y=\frac{1}{3} *\frac{3}{1}= \frac{3}{3} =1[/tex]
x = 6
[tex]y=\frac{1}{3} *\frac{6}{1} =\frac{6}{3}=2[/tex]
x = 9
[tex]y=\frac{1}{3}* \frac{9}{1}=\frac{9}{3} =3[/tex]
Question 8 (4 points)
Find all missing angles.
25°
50
2
1
42°
mZ1 =
mZ2 =
mZ3 =
The measures of unknown angles are, m∠2 is 42°, m∠1 = 88° and
m∠3 = 113°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are of equal measure.
∴ m∠2 is 42°.
We know the sum of all the interior angles in a triangle is 180°.
∴ m∠1 = 180° - 50° - 42°.
m∠1 = 88°.
m∠3 = 180° - 42° - 25°.
m∠3 = 113°.
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please help
solve the inequality
Answer:
m<2.5
Step-by-step explanation:
Carol harvests berries in the forests of Washington and then sells them to local restaurant chefs. The value of the berries depends on their weight. Which is the dependent variable?
9514 1404 393
Answer:
value of the berries
Step-by-step explanation:
The statement "value of the berries depends on ..." means the dependent variable is "value of the berries."
what shape cannot be a rectangle
pentagon for sure based on the options
1. What do you need to show in order to prove that a number is divisible by 3?
Then, use an example to show your explanation is correct. *
Answer:
You can divide and see if its devided by 3, and if its not in the times table, you will have a decimal
Step-by-step explanation:
I will mark brainliest
I need help
Answer:
4 million a day, 28 million a week, 145,600,000 a year.
Step-by-step explanation:
6 million times 4 is 24 million. Which explains 4 million daily.
4 million times 7 days a week is 28 million weekly.
28 million times 52 weeks a year is 145,600,000.
