2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
answer the following...
what is 5945 divided by 612
The quotient we get when 5945 is divided by 612 is 9.7140.
When a number is divided by any other number ,the result is called quotient or we can define quotient as how many times a number divides a certain number.
The quotient we get in division either may be a real whole number or in the form of decimals.
Factors - A number which divides a number completely without leaving any remainder is called factor of that number, Or we can say when a dividend is divided by divisor and if the remainder we get is zero than the divisor ids a factor of that dividend.
When we divide 5945 by 612 we get remainder as 333 .Using division algorithm we can extend the number using zeroes after decimals which results to get 9.7140 as a quotient.
Using the result we can conclude that 612 is not a factor of 5945.
When 5945 is divided by 612 the result is 9.7140.
Learn more about division here:
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what is thales theory ?
Answer:
Thales's theory about the cause of earthquakes is consistent with his hypothesis that earth floats upon water. It seems that he applied his floating on water simile to the natural phenomena of earthquakes. Aëtius recorded that Thales and Democritus found in water the cause of earthquakes
Which type of graph is useful for demonstrating how something changes or fluctuates in value over time?
Line graphs (or line charts) are best when you want to show how the value of something changes over time, or compare how several things change over time relative to each other. Whenever you hear that key phrase “over time,” that's your clue to consider using a line graph for your data.
-BBBM
write an equation to solve for x 8x+2 14x-76 will give brainiest
Answer:
8x + 2 = 14x - 76Step-by-step explanation:
just add both corresponding angles
Solve for x
12 = 10
18 = x
Step-by-step explanation:
12=10 I think you have to add 10+2and then you get 12.
18=×you will have to multiply 18 by a number probably by 10 or 12
Divide:
3
8
÷
5
12
The quotient is .
Answer: 9/10
Step-by-step explanation:
3
8
÷
5
12
=
9
10
Result in decimals: 0.9
Calculation steps:
3
8
÷
5
12
=
3
8
×
12
5
=
3 × 12
8 × 5
=
36
40
=
36 ÷ 4
40 ÷ 4
=
9
10
Answer:
9/10
Step-by-step explanation:
i got it right
Today 4 friends went out for lunch. Their total bill was $24.80, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back
Answer:
each person would getb3 dollars back
Step-by-step explanation:
since each friend pays $10 and there are 4 friends the total is 40 but now you have to do $40.00 minus $25.00 because of tax and gratuity so when you do that you get $15.00 now you have to do 15 ÷ 4 and that equals $3.75 and since you cant divide 75 coins to 4 people we dont add that but now you have your answer each friend gets $3.00
John increased the amount of water he drinks every day from 20 fluid ounces to 48 fluid ounces. By what percentages did John increases the water he drinks?
A. 15%
B. 28%
C. 140%
D. 12.5%
Answer:
C. 140%
Step-by-step explanation:
The maximum speed of a greyhound is 153 miles per hour less than 3 times the maximum speed of a cheetah. Ifa greyhound's maximum speed is 42 miles per hour, what is the maximum speed of a cheetah? Check to make sure your answer is reasonable.
cheetahs can go to 0 to 60 mile per hou in just 3.4 seconds and reach a top speed of 70 miles per hour.while they are the fastest land animal in the world,they can only maintain thier speed for only 20 to 30 seconds
cheetah has a speed of 109.4 km/h (69.o mph) and 120.7 km/h(75.0 mph)
maximum speed is 80 to 130 km/h
Seth sells candles for $14.35 each. Last
week, he sold 21 candles over 4 days. Seth
pays $2.40 for materials for every 3 candles.
How much did Seth earn last week?
Answer:284.55
Step-by-step explanation:divide 21 by 3=7 7times 2.40=16.8 14.35 times 21=301.55
Let A(-1,5) and B(6,-2) be the endpoints of a segment. What are the
coordinates for the midpoint M? Explain how you calculated your answer
pls help!
-3 divided by 1/6 =
1. 18
2. -18
3. -2
4. -1/2
Answer:2. -18
Step-by-step explanation:
I need help it wouldn’t let me put the song I wanted but whatever
Answer:
[tex]this \: proberbility \: is \: p(history)[/tex]
3 1/3x(-3 3/5) divided by (-1/3)
Answer:
31/3
Step-by-step explanation:
31/3*(-33/5) divided by (-1/3)
10/3*(-15/5) *(-1/3)
2/3*(-5)*(-1)
= 10/3
Which expression equals 24?
Answer:
Lots.
Step-by-step explanation:
12 + 12, 2 x 12, 48 divided 2, etc.
Lots of expressions make 24.
Answer:For this case we must find an expression equivalent to 24, including exponents. To do this, we decompose factor 24. By definition, factorial decomposition consists of writing a number as the multiplication of other numbers.
Then:
We have the "2" is written three times, then:
Answer:24 = 2 to the 3rd power x 3
Step-by-step explanation:
which one is the least 7.38 7.22 7 1/5 7 3/8
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
1/5 is the lowest because its wayless lower than the rest. fractions are greater than decimals
Which postulate or theorem would you use to prove these two triangles congruent?
Answer:
SSS
Step-by-step explanation
youre given only side conguencys, so you cant prove the angles are conguent
In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.
Answer:
6.5
Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle T=180-71-36=73^{\circ}
∠T=180−71−36=73
∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
u=
sin73
6.6sin71
≈6.526≈6.5
Solve for the side and evaluate.
Answer:
6.5
Step-by-step explanation:
deltamath
Gina read 120 pages in 4 days. Which reading rate is equivalent?
Answer:
Gina reads 30 pages per day.
Step-by-step explanation:
120 / 4 = 30
I hate to ask, but please give me Brainliest. I need it to level up <3.
Answer:
Gina reads 30 pages per day.
Step-by-step explanation:
help and I’ll give you brainliest
Answer:
m<k= 63
Step-by-step explanation:
(4x+7)+(6x-9)+62=180
PLEASE HELP ME ANSWER THIS
True or False. The domain of the product function (fg (x) consists of all numbers that belong to either the domain of f or the domain of g. Justify your answer.
Answer:
True
Step-by-step explanation:
We want to identify whether the statement that domain of the product functions affects time. You, Becks, consists of all the numbers that are either in the tomato f or in the is correct or not. So, actually, this one is not correct. So we can analyze this in this way. So the product function a makes sense only after effects. And you it means that the domain of the function just consists of on the real numbers that are either not either that our posts in events endeavor. But we can't give a counter example which X equals two. We're back and you're that equals two square. The effort that time is equal to hey, Rita finds the spirit of so consider the case. X equals to one so x equals to one is in the domain of effort. However, the squared of negative one doesn't make any sense. So we still cannot compute the product function every time. So it's not okay to just that acts to be either in the debate over or in the demand, ex have to be imposed the domain of Kiev and effort.
Evelyn gave a 3 percent tip to the person delivering her 15 dollar pizza. What percent of the cost of the pizza was the tip she paid?
A.3
B.5
C.15
D.15
9514 1404 393
Answer:
A. 3
Step-by-step explanation:
"3 percent tip" means the tip is 3% of the cost of whatever product or service is being tipped. The tip is 3% of the cost of the pizza.
Fred bought four bags of rice. Each bag contained StartFraction 2 Over 11 EndFraction kilogram. How much rice did Fred buy?
Answer:
8/11
Step-by-step explanation:
go follow newamlie on tt lol
Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
y = y equals StartFraction one-half EndFraction x.x
y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60
y = y equals StartFraction 1 Over 5 EndFraction x. x
y = y equals StartFraction 1 Over 20 EndFraction x plus 60.x + 60
Answer: y=1/5x
Step-by-step explanation:
Answer:
It is y = y equals 1 Over 5 x Or Y=1/5x.
Step-by-step explanation:
Did it on edge 2020
Proof:
There are 100 students enrolled in our school. 3/5 of the students are boys. How many students are girls?
Answer:
2/5 are girls so 40
Step-by-step explanation:
100 divided by 5 is 20.
BOYS: 20 x 3= 60
GIRLS: 20 x 2= 40
60+40=100
Hope this helps (:
Ken and Vincent each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Ken has 10 signatures, and Vincent has 30. Ken is collecting signatures at an average rate of
3 per day, whereas Vincent is averaging 2 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take?
00
Write a system of equations, graph them, and type the solution.
Sn
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the slope in fraction form
Answer:
-1/3
Step-by-step explanation:
Taking two points on the graph (I took (0,9) and (6,7)
Slope=(y2-y1)/(x2-x1)
(7-9)/(6-0)=-2/6
=-1/3
Jessica qent for a drive in a new car. She drove 204.8 miles in 4 hours. What was her speed
Answer:
Her speed was 51 mph per hour
Answer:
51.2 mph per hour
Step-by-step explanation:
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.
Answer:
Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144
Step-by-step explanation: