answer this question
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
Which of the following is the graph of the solution set of:
y< -3 or y<1
I NEED HELP ASAP!!
What is the equation of the line that passes through the points (3,8) and (6,2)?
Answer:
y = −2x+14
plot the points on a graph, and find the slope :)
A racehorse breeder's sells feed by the ton (2000 pounds). They add a special supplement to the feed. Each horse needs 300 milligrams (mg) of this supplement a day and each horse consumes 15 pounds of the feed per day. If there are 1,000 milligrams in a gram, how many grams of the medication should the feed company add for each ton of feed they produce
Answer: 40 grams
Step-by-step explanation:
Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.
This means that 300 milligrams should be in 15 pounds of feed.
In 2,000 pounds therefore, the medication that should be added is;
= (2,000 * 300) / 15
= 40,000 milligrams of supplement
Question calls for how much grams are needed.
1 gram is 1,000mg
40,000 milligrams is;
= 40,000/1,000
= 40 grams
The diagram below shows the side view of a ramp used to help load and unload a moving van.
Ramp
3 ft
9 ft
Which measurement is closest to the length of the ramp in feet?
9.5 ft
13.5 ft
8.5 ft
10.5 ft
If u get it right I will mark Brainliest!!
Answer: 9.5
Step-by-step explanation: I got it right in my test :)
Answer:
9.5 ft would be the closest to the length of the ramp in feet.
Step-by-step explanation:
I had the exact same question on my test, I got it correct :)
Name a line containing point V.
Answer:
Line A
Step-by-step explanation:
AAnswer:
Step-by-step explanation:
Whats % is 4 of 16 ?
Answer:
25 percent
Step-by-step explanation:
percent=1/100
16 times x=4
16 times 1/4=4
Answer:
.06 % (6%)
Step-by-step explanation:
I'm not good at explaining but,
Using baseball method I:
1. Wrote it out as a fraction
2. multiplied numerator (4) by the denominator of (16)
3. Then I divided the product of that, 64, by 100 and got .04
Which is 4% (:
The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x variable by adding? 6x - 5y = 21 4x + 7y = 15
Answer:
We have to multiply 4 with 3 to make it equal to 12.
Step-by-step explanation:
Given the two equations:
[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]
In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.
Here, we have to eliminate [tex]x[/tex].
The coefficients are 6 and 4.
The least common multiple of 6 and 4 is 12.
So, we multiply 6 by 2 to make it equal to 12.
and we have to multiply 4 with 3 to make it equal to 12.
And then the two equation have to be subtracted from each other.
Answeer
what the other person said was right
Step-by-step explanation:
Help please ASAP Thank you
Answer:
uh is it 2 and o.6 i think
Step-by-step explanation:
HELP 10 points !!!!!!!
Answer:
B
Step-by-step explanation:
Answer:
84 degrees
Step-by-step explanation:
(6x - 30) + 96 = 180
6x 66= 180
6x= 114
x=19
6(19) - 30 = 114 - 30 = 84
(6x - 30) = 84 degrees
Hope this helps!
Solve: negative 1 over 2 x + 1 = −x + 8 (5 points)
a
7
b
1 over 2
c
14
d
18
Answer:
14
Step-by-step explanation:
Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?
Answer:
$10.06
Step-by-step explanation:
Since there are 2 people, multiply the amount they each get by 2.
5.03 times 2=10.06
Final answer 10.06
Hope this helps:)
When Carla looked at the library, she noticed that for every 2 nonfiction books, there were 5 fiction books. If there are 161 books total, how many of them are not nonfiction books.
Answer:
138 nonfiction
Step-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of nonfiction to fiction books is 2 to 5
otherwise expressed as 2:5
the total ratio is 2+5= 7
the total number of books is 161,
applying the part to all approach
nonfiction to all is
let the nonfiction be x
2/7=x/161
cross multiply we have
7x= 161*6
7x=966
divide both sides by 7
x=966/7
x=138 nonfiction
138 nonfiction
Solve the proportion 2/7=c/28
Hurry!!!
Answer:
C = 8
Step-by-step explanation:
2/7 = c/28
Multiply to get c by itself
2/7 x 28 = c
Solve
2/7 x 28 = 8
C = 8
The value of c is 8 in the proportion 2/7=c/28.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given proportion is 2/7=c/28
Two divided by seven equal to c divided by twenty eight.
We have to find the value of c.
We find the value of c by applying cross multiplication
28×2=7c
56=7c
Divide both sides by 7
56/7=c
Divide numerator and denominator by 7
We get c=8
Hence, the value of c is 8 in the proportion 2/7=c/28.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Fill in the blank.
(45)×(512) = ___ / 5×12
Answer:
x=1382400
this should be right
Answer:
1382400
Step-by-step explanation:
Well, we can first find that 5x12 is 60 so if you substitute it, it would be:
45x512 = ___ / 60
We can also substitute ___ as x:
45x512 = x/60
45x512 is 23040 so, 23040 = x/60.
Bring sixty to the other side and multiply
x= 23040 x 60 = 1382400
place the following numbers in order from least to greatest
-8.2, 0.4, NEGATIVE 2 AND 1/2, and 2.4
Answer:
-8.2,-2 1/2, 0.4,2.4
Step-by-step explanation:
hope that helps
With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.
Answer:
The answer is 267.
Step-by-step explanation:
If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).
Therefore the answer is 267 (250 + 17)
diffrentiate between save and save as
Step-by-step explanation:
The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help
Answer:
difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.
The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Earth would weigh 28 pounds on Mars. Write an equation that represents the situation. Then determine how much a boulder that weighs 250 pounds on Mars would weigh on Earth.
An equation that represents the situation is y=
A rock that weighs 250 pounds on Mars would weigh _ pounds on Earth.
Answer:
625 poundsStep-by-step explanation:
Given:
Weight on Earth = 70 poundsWeight on Mars = 28 poundsAs per given the proportion is:
y/x = 28/70 ⇔ y/x = 2/5A rock that weights 250 pounds on Mars would weigh on Earth:
250/x = 2/5x = 250*5/2x = 625 poundsA bike is priced at $63.50. There is an 8% sales tax rate. What is the sales tax for the bike in
dollars and cents?
Answer:
The answer is $68.58
Step-by-step explanation:
The total cost of the tax is $5.08 so if you add that to $63.50 you get $68.58.
PLEASE MARK BRAINLIEST
Wayne graphed the following linear function on an (x,y) coordinate plane.
f(x) = -5.4x+12.6
What is the y intercept of the graph of this function ?
Answer:
12.6
Step-by-step explanation:
The y intercept means that x=0, therefore you will plug in 0 in your equation.
f(x) = -5.4x + 12.6
f(0) = -5.4(0) + 12.6
f(0) = 0 + 12.6
=12.6
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10x + 20 = 80
B. 20x + 10 = 80
C. 80x - 20x = 10
D. 10x + 20x = 80
Given:
Michelle plans on raising $80.
Selling price of each shirt = $10
So far she has raised $20.
To find:
The number of more shirts she needs to sell.
Solution:
Let x be the number of more shirts she needs to sell.
Selling price of one shirt = $10
Selling price of x shirt = $10x
Total raising amount = $(10x + 20)
Michelle plans on raising $80. So,
[tex]10x+20=80[/tex]
Subtract both sides by 20.
[tex]10x=80-20[/tex]
[tex]10x=60[/tex]
Divide both sides by 10.
[tex]x=\dfrac{60}{10}[/tex]
[tex]x=6[/tex]
So, the required equation is [tex]10x+20=80[/tex]
Therefore, the correct option is A.
In 2009, a poll found that 47% of people favored the protection of the environment at the risk of limiting energy supplies, while 47% favored the development of energy supplies even if that risked harming the environment. Another 4% felt that energy and the environment were equally important. what's the probability a person had "No Opinion"? NEED HELP ASAP!
Answer:
It will be 84
Step-by-step explanation:
Rebecca is on the swim team. If you can swing 24 labs in six minutes how long would it take her to swim 36 laps
Answer:
9
Step-by-step explanation:
if you think bout it 24/6 is 4 and 36/9 is 4
please help i give brainliest to who ever gets it right!!!!!!
Answer:
D.
Step-by-step explanation:
Opposite numbers will be numbers with opposite signs
Option D shows -3 at one end and +3 at the other; their sum is 0
y=x
y= 11x-10
simultaneous equation
Answer:
y = 1
x = 1
Step-by-step explanation:
If y = x
Replace x with y
y = 11y - 10
y - 11y = -10
-10y = -10
y = 1
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
A machine is used to stamp bottle caps. If 150 bottle caps can be stamped in 30 s, the rate is _______ caps per second.
Answer:
5 bottle caps each second
Step-by-step explanation:
To find the unit rate, just divide the total number by the total time.
150/30
5
So 5 bottle caps per second
can someone please help .. will mark brainliest !
Answer:
B and B
Step-by-step explanation:
The first one is B because all of the slopes are negative except B. And so I think that's the correct answer
The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.
It's really just the first one I am second guessing myself on but B and B make sense to me :)
How many cups of white paint would be needed for just one batch?
Answer:
one white paint
Step-by-step explanation:
because if you use 1 whit paint on 1 yellow paint is either you get a little yellow pigment or light cream
Which equation represents a line that is perpendicular to y=x?
A.
y=2x
B.
y=−x+6
C.
y=−2x
D.
y=x+1
Answer:
B
Step-by-step explanation:
The general equation of a straight line can be represented as;
y = mx + b
where m is slope
If two lines are perpendicular, the product of their slopes will be -1
So since the slope of the first line is 1, then the slope of the second line will be -1
Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer