(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
If 2x + y = 7, what is the value of y when x = 3? A. 1 B. 3 C. 5 D. 7 E. 9
Answer:
the correct answer is A.1
the result is explained below in the photo
Answer:
y = 1
Step-by-step explanation:
2x + y = 7
x = 3
plug in 3 for x
2(3) + y = 7
Multiply 2 * 3
6 + y = 7
Therefor y = 1
In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year
Answer:44÷58+44
Step-by-step explanation:
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
(8 points) will mark brainliest!! pls help:)
Answer:
7/10
Step-by-step explanation:
Have a nice day
Answer:
2.1
hope this helped
Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.
Answer:
1.79
Step-by-step explanation:
^p = x/n
= 260/500
= 0.52
z = p1-p2 / √^p(1-p)/n
= 0.52 - 0.48 / √0.48x(1-0.48)/500
= 1.79
Central/Inscribed angles w work pls i beg last one
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door
Answer:
The width of the door to be 39.10 ft, and the height to be 40.7 feet.
AYUDA!!!!!!! Pls help me answer
You don't mention what's the question
(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.
Answer:
its c
Step-by-step explanation:
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answer:
12
Step-by-step explanation:
Sam has 3 bottles of water. Together Sam and Dave have at most 12 bottles of water. How many bottles of water can Dave have?
Inequality-
ANSWER-
Answer: 9
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
If you divide 12 and 3 you will equal 4
Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)
Group of answer choices
8 and 1 over 2 ÷ 1 over 4
8 and 1 over 2⋅ 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 − 1 over 4
Flag question: Question 4
Answer:
(a) 8 1/2 ÷ 1/4
Step-by-step explanation:
Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).
miles = (1/4)n
If Katie jogged 8 1/2 miles, then we have ...
8 1/2 = (1/4)n
We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:
(8 1/2) ÷ (1/4) = n
_____
Additional comment
If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.
[tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]
If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)
As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.
A farmer had 21 goats all but 9 died how many survive ?
Answer:
9
Step-by-step explanation:
All but 9
Answer:
12
Step-by-step explanation:
I used a calculator I hhhhhhj
If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?
what is the radius and diameter of the following circle ? 5.1 cm ?
Please help me I need to turn this in very soon
Answer:
1331/3375
Step-by-step explanation:
(11/15) ^3 = (11*11*11)/(15*15*15) =1331/3375
What is the prime factorization of 144?
2
O 2x62
O 22 x 34
x
O 23 x 32
х
0 24 x 32
Х
Help pls thx
Answer:
2
Step-by-step explanation:
Hi do you have a photo? i’m confused with the listing
14 yd 2 ft + 9 yd 2 ft
Answer:
24yd 1ft
Step-by-step explanation:
14+9 = 23
2+2 = 4
1yd = 3ft
4ft = 1yd 1ft
Answer:
14 yd 2 ft + 9 yd 2 ft = 73 feet
hope this helps
Choose which diagram
Which of the following is the graph of
Answer: C
Step-by-step explanation:
help pls I'll give briliantest and give I 10 points please I need helpppp
Answer:
P=-120
Step-by-step explanation:
This might be higher level than I am since I am still a student but p=-120i know that
Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA
Step-by-step explanation:
Given sets are :
A = {1, 2, 3}
B = {2, 3, 4}
AnB = {1, 2, 3} n { 2,3,4 }
AnB = {2,3}
Now
(AnB) X A
⇛ { 2,3 } X { 1 , 2, 3 }
⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
(AnB) X A for the given problem is
{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
Six less than the product of four and a number X
[tex]6 < 4x[/tex]
Hope this helps:)
Eve is going to buy 70 pens from either shop A or shop B.
Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .
What is the difference in cost for all 70 pens between the two shops ?
Answer: 0.70
Step-by-step explanation: Shop A: 2.20*7=15.40
Shop B: 7 packs with full price and seven with half
So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven
Take sum 9.80+4.90=14.70
So the difference between the two shops is
15.40-14.70=0.70 hope i helped have a good afternoon
Hey can anyone help me with these please and thank you !
Answer:
I would be able to help you but I cant see the work that well. hope you figure it out.
Step-by-step explanation:
which expression represents the product of 3 and 1 1/4 n 1.8
•ω• Hewo fren!
☆☆●◉✿ Answer:✿◉●☆☆
3•1 1/4•1.8= 6 3/4
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
Let’s start of with 3•1 1/4~
3 times 1 and 1/4 is 3 3/4
Now let’s multiply 3 3/4 • 1.8
1.8 is also 1 8/10, simplified: 1 4/5.
3 3/4 • 1 4/5 = 6 3/4
THERE IS YOUR ANSWER! >o<
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
what is the height of h of the triangle?
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
Wyatt's eye-level height is 120 iS ft above sea level, and Shawn's eye-level height is 270 ft above sea level. How
farther can Shawn see to the horizon? Use the formula d=
3h
much
n20. with d being the distance they can see in miles
and h being their eye-level height in feet.
Answer:
150 eye level hight above sea level
Step-by-step explanation:
270-120=150
sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
Answer:
12/9+3 4/3 = 5 2/3 or 17/3
Step-by-step explanation:
Answer:
its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.
Step-by-step explanation:
Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2
Answer: 60
Step-by-step explanation:
The negatives cancel each other out and you are left with 15 times 4