Answers
Answer & Step-by-step explanation:
Let's start with the first problem.
1.) 9a⁴b⁴ - 27a³b³
Now, we have to find a number or a term that can be divisible by both terms in the expression. 9 and 27 have a common factor of 9. a⁴b⁴ and a³b³ have a common factor of a³b³. So, let's use this information to find our answer.
The GCF of the expression is 9a³b³
Now, let's do the second problem.
2.) x² - 36
For this problem, we have to factor out the expression. Since this a perfect square binomial, we can just square the terms and that will give us our answer.
The factored form of this expression is (x + 6)(x - 6)
Lastly, let's do the third problem.
3.) x² + 7x + 10
For this problem, we are going to have to factor again. First, we can break down the middle term so we can factor the expression.
x² + 2x + 5x + 10
Now, we pair the first two terms together and the last two term together.
(x² + 2x) + (5x + 10)
Now, we factor each parentheses by finding the common factor between them.
x(x + 2) + 5(x + 2)
Since, our terms are the same in each parentheses, then that means we have factored correctly.
The factored form of this expression is (x + 5)(x + 2)
Related Questions
7x-x ............................ .
Answers
Answer:
6x
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
if A+B+C=π prove that sinA+sinB+sinC=4cosA/2 cosB/2 cosC/2
Answers
Answer:
oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students
How many real solutions does this system of equations have?
y=x^2+1
y=x
Answers
Answer:
none
Step-by-step explanation:
y=x²+1
y=x
x²+1=x
x²-x+1=0
Disc.=b²-4ac=(-1)²-4×1×1=1-4=-3<0
so roots are imaginary.
Solve the inequality 5x < 16 +x.
x < 1/4
x>1/4
x<4
x>4
Answers
Answer:
[tex]x<4[/tex]
Step-by-step explanation:
[tex]5x<16+x[/tex]
[tex]5x−x<16[/tex]
[tex]4x<16[/tex]
[tex]x < \frac{16}{4} [/tex][tex]x < 4[/tex]
Hope it is helpful....Answer:
x<4 is the answer
Step-by-step explanation:
2x2
The value of the expression + x(100 - 15x) when x = 5 is
X
Answers
Answer:
129
Step-by-step explanation:
2*2+x(100-15x)
2*2+5(100-15*5)
2*2+5(100-75)
2*2+5*25
4+125
129ans
Can someone give me an example on how to solve non right angled triangles?
Answers
First use the
Pythagorean theorem to find the hypotenuse h of the right triangle.
h = √(62 + 82)
= √(36 + 64)
= 10
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
Answers
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
The tens digit of a two-digit number is three times greater than the ones digit. The difference between twice the original number and half the number obtained after reversing the digits is 108. What is the original number? Show your work.
Answers
Answer:
Now solve these two equations.ull get andwer
The original number will be "63".
Let,
The ten's digit be "x".One's digit be "y".The equation will be:
→ [tex]x=y+3[/tex]...(equation 1)
Original number will be:
→ [tex]10x+y[/tex]
then,
→ [tex]2 (10x+y)-\frac{(10y+x)}{2} = 108[/tex]
→ [tex]\frac{4(10x+y)}{1} -(10y+x) = 216[/tex]
→ [tex]40x+4y-10y-x = 216[/tex]
→ [tex]39x-6y=216[/tex]...(equation 2)
By using (equation 1) and (equation 2), we get
→ [tex]39(y+3)-6y=216[/tex]
→ [tex]39y+117-6y=216[/tex]
→ [tex]33y=99[/tex]
→ [tex]y = \frac{99}{33}[/tex]
→ [tex]= 3[/tex]
Now,
[tex]x = y+3[/tex]
[tex]=3+3[/tex]
[tex]=6[/tex]
hence,
The original number will be:
= [tex]10x+y[/tex]
= [tex]10\times 6+3[/tex]
= [tex]60+3[/tex]
= [tex]63[/tex]
Thus the above approach is right.
Learn more:
https://brainly.com/question/285966
I NEED HELP ON THIS QUESTION!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!
Answers
Answer: Ruiz and greater
Step-by-step explanation:
I graphed them.
Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units
Answers
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
Left by 4
Step-by-step explanation:
graph x^2 and x^2 − 8x + 16 on Desmos . com
you start at f(x) and end at g(x)
A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long will it take to fill the pool to a depth of 20cm?
Answers
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be = [tex]\pi r^{2}h[/tex]
Where r= radius of the pool = 115/2 = 57.5cm
h = depth of the pool =20 cm
The volume of the pool will be [tex]\pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}[/tex]
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm
A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft
Answers
Answer:
Hey there!
1 gallon=400 square feet
2 3/8 gallon= 400 (2 3/8) square feet
2 3/8 gallon= 950 square feet.
Let me know if this helps :)
The product of 9 upon 7 and a number is 63. Find the number
Answers
Answer:
heyy Vrooo....
alr ans is 49
Step-by-step explanation:
see let number be x
so as per ques.. product of x and 9/7 = 9x/7
which is 63
so [tex]\frac{9x}{7}[/tex] = 63
9x = 63*7
x = [tex]\frac{63*7}{9}[/tex]
x = 7*7 = 49
Possible to brainliest <3 ?
The translation of ABCD to A'B'C'D'
is given by (×+[?].y-[ ]).
Answers
Answer:
(x + 1 , y - 3)
Step-by-step explanation:
Compare x-coordinate of A(-6,1) and A'(-5,-2)
-6 + a = -5
a = -5 +6 = 1
x- coordinate of A' = x coordinate of A + 1
Compare y-coordinate of A(-6,1) and A'(-5,-2)
1 + a =-2
a = -2 - 1 = -3
y- coordinate of A' = y coordinate of A - 3
A(-6 , 1) = A'(-6+1 , 1-3) = A'(-5, -2)
D(( -1 , 1) = D'(-1+1, 1 - 3) = D'(0,-2)
C(-2,3) =C'(-2+1, 3-3) = C'(-1,0)
B(-4,3)= B'(-4+1 , 3-3) = B'(-3,0)
Answer:
1, 3
Step-by-step explanation:
Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2
Answers
Answer:
16/7
Step-by-step explanation:
16k / 7k
Divide the numbers
16/7
Divide the variables
k/k = 1
16/7
If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?
Answers
Answer:
91
Step-by-step explanation:
Look at multiples of 7 and you’ll find 91.
91 dived by 3 is 30 with a remainder of 1.
91 divided by 5 is 18 with a remainder of 1.
91 divid by 7 is 13 with no remainder.
91 is the number between 1 and 100 satisfies the above conditions
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided by 3 or 5, the remainder is 1.
If it is divided by 7, there is no remainder
We need to find the number between 1 and 100 which satisfies the given conditions.
Let us consider 91.
When 91 is divided by 3 we get 30 and 1 as remainder.
91 divided by 5 is 18 with a remainder of 1.
91 divided by 7 is 13 it does not have any remainder or remainder is zero.
Hence, 91 is the number between 1 and 100 satisfies the above conditions
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
8. Define transversal lines.
Answers
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
Pls answer if you only know the correct answer! Thanks! :))
Answers
The ratio is (J/W) = 7/6. Or. J= (7/6)• W .
Second line: J= (7/6)• 24. J= 28.
Third line: J= (7/6)• 18. J= 21
Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !
Answers
In general, (x^n1)/(x^n2)=x^(n1-n2). So the simplified version is a*(b^-2)=a/(b^2).
Answer:
a^5b^8/a^4b^10
= a^5-4 b^8-10
= a^1 b^-2
= a/b^2
I hope this helps
if u have question let me know in comments ^_^
Given the function f(x) = x2 + 8x – 12, what is the
value of f(2)?
Answers
Answer:
f(2) = 8
Step-by-step explanation:
f(x) = x^2 + 8x – 12
Let x = 2
f(2) = 2^2 + 8*2 – 12
= 4 + 16 -12
=20-12
= 8
Answer:
[tex]f(x) = {x}^{2} + 8x - 12 \\ f(2) = (2)^{2} + 8(2) - 12 \\ = 4 + 16 - 12 \\ f(2) = 8[/tex]
I hope I helped you^_^
determine whether each number is rational or irrational
Answers
Answer:
1. irrational (it's pi. pi goes on forever.)
2. irrational (the ... shows that the number goes on forever.)
3. rational (it is a regular integer)
4. rational (it would be negative 3, an integer.)
5. real, irrational (square root 6 goes on forever, like every non-perfect square root)
6. real, rational, integer, natural, whole (regular counting number)
7. real, rational, integer, natural, whole (regular counting number, 4)
8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)
brainliest is very much appreciated!
Calculate the perimeter of a semi-circle
whose diameter is 14cm
Answers
perimeter of a semicircle is [tex]\frac{2\pi r}{2}+2r=\frac{d\pi}2 +d[/tex]
$d=14$
so, perimeter= $14\cdot\frac{22}7\cdot \frac{1}2+14=22+14=36$ cm
Answer:
Perimeter of semi-circle = 36 cm
Step-by-step explanation:
diameter = d = 14 cm
Perimeter of semicircle = Circumference of semi-circle + diameter
= [tex]\frac{1}{2}\pi d + d[/tex]
= [tex]\frac{1}{2}*\frac{22}{7}*14 +14\\[/tex]
= 22 + 14
= 36 cm
the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?
Answers
Answer:
650000/12% and in fraction 650000devide by 12% you will get 541.`6
1,400 is 10 times as much as 140- true or false
Answers
Answer:
True
Step-by-step explanation:
140 * 10 = 1400
True
I WILL BE MARKING THE CORRECT ANSWER BRAINLEST PLS HELP When the distributive property is used to solve the equation
3 ( x + 5 ) = 5x - 7
what could the next step be?
Answers
Answer:
11
Step-by-step explanation:
3 (x + 5) = 5x - 7
3x + 15 = 5x - 7
3x - 5x = -7 -15
-2x = - 22
x = 11
John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved
Answers
Answer:
70%
Step-by-step explanation:
So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer
A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?
Answers
Answer:
$1.89
Step-by-step explanation:
1 gallon= 8 pints
2gallons= 16pints
$30.24÷ 16= $1.89
Answer:
3.43
12 pints
Step-by-step explanation:
2 gallons = 12 pints. 30.24 divided by 12 is 3.43
Help please!!! Thxxxxx
Answers
Answer:
H
Step-by-step explanation:
For what real numbers x is x 2 − 10 x + 25 negative?
Answers
Answer:
no real numbers
Step-by-step explanation:
x^2 − 10 x + 25
Factor
What 2 numbers multiply to 25 and add to -10
-5*-5 = 25
-5+-5 = -10
( x-5) (x-5)
This touches the graph at x =5
The parabola is positive so there are no values where the graph is negative
Answer:
No real solutions
Step-by-step explanation:
Part 1: Factoring the quadratic
The equation is in quadratic form - ax² + bx + c = 0.
Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]
Part 2: Using discriminant to determine roots
Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x without altering the final value that the equation is equal to.
Write the fraction as a decimal.
Answers
Answer:
0.5625
Step-by-step explanation:
9÷100=0 5625 in decimal mark me as a brainlist answer
Answer:
1.5625
Step-by-step explanation:
9/16=0.5625
therefore, 1.9/16=1.5625= 1.563