Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
Y=x-6 y=-x-+4
Substitute please.
Answer:
( 5 , − 1 )
Step-by-step explanation:
Anybody know the answer?????
4^4+400÷(4+6^2)−2^4
Answers:
250
244
18
10
Answer:
250
Step-by-step explanation:
You want to buy a new macbook. Apple will finance the macbook with no money down and no interest if paid in full within 2 years. The minimum monthly payment is $35 per month. If the macbook costs $1,799 and you only make the minimum payment, how much will you have to pay at the end to avoid paying interest?
Answer:
31482.5
Step-by-step explanation:
multipliy 1,799 by 35= 62965 the divide by 2.
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
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any help plz ??? thx in advance you'll get brainliest
Answer:
For (a)
Well let “x” be amount of sales
And let ”y” be total pay
so 1200 is the base pay/ weekly
And a 5 percent commission on amount of sales
5 percent can be written as 0.05
Now we can make an equation
1200+0.05x = Y
So that would be your equation
Now for (b)
If she sold 10,000 that week as commission we can just plug it into our equation
1200+0.05(10,000)=y
Now solve
5 percent of 10,000 is 500 dollars.
Now 1200+500=1700
(b) is 1700 earned that week
Now for (c)
We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.
So same equation
1200+0.05x=3000
x=36,000 have to be solve in order to make 3,000 income Per week.
Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
what is the ans
1. Add : 12a²b², -7a²b² , and 9a²b²
2. Subtract : -5y² from y²
need a well explained ans :)
no spams , unwanted ans and plagiarism
kindly stay out if u don't know the ans
1. 12a²b² + -7a²b² + 9a²b²
= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.
= 14 (ab)² (you can write like this too because both a & b are squared).
2. y² - (-5y²)
= 6y² (subtract -5 from 1, y² is the like term).
One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.
Together, the boxes weigh 48 pounds.
If w represents the weight of the first box placed on the scale, write a problem ?
Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.
The second box weigh 10 pounds less than the first box. Hence:
y = w - 10
-w + y = -10 (1)
The two boxes weigh 48 pounds. hence:
w + y = 48 (2)
Solving both equations gives:
w = 29, y = 19
The first box weighs 29 pounds while the second box weighs 19 pounds.
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Find x
pls help this is due tmr
Answer:
x = 60 degrees
Step-by-step explanation:
AOD is 360-240 which is 120 degrees
AOB is 120-90, so 30.
Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees
x= 60 degrees
Aaron earned $57.35 selling some of his old video games. He bought another video game for $46.29. How much money, x, does Aaron have left?
Answer:
Aaron has $11.06 left over
please help asap…………
Answer:
linear
Step-by-step explanation:
this equation will form a straight line and for each 'y' value there will only be one unique 'x' value
The fastest train on earth is Maglev, a Japanese train which runs at a
maximum speed of 602 Km/h. Convert and express it’s speed into m/s.
Answer:
167.2 m/sec
Step-by-step explanation:
Convert 602 km/hr to m/sec, as follows:
602 km 1000 m
------------ * ----------------- = 602,000 m/hr
hr 1 km
Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:
602,000 m 1 hr
------------------ * ---------------- = 167.2 m/sec
1 hr 3600 sec
Express as simply as possible with a rational denominator
1/2√3
Rationalise the denominator of 1/2√3
Detailed answer is in the image attached.
Hope it helps you....
Please mark as Brainlliest!!!
|21x-5|=37
x=?
i'm too lazy to solve it myself help
Answer:
21x+1=37
21x+1-1=37-1
21x=36
x=36/21
x=9/7
Answer:
X1=2 X2=-32/21
Step-by-step explanation:
21x-5=37
21x-5=-37
21x=37+5
21x=42
x=2
21x=-37+5
21x=-32
x=-32/21
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
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16 + ((15 + 5) + 32)
Answer:
68
Step-by-step explanation:
16 + ((15 + 5) + 32)
= 16 + (20+32)
= 16 + 52
= 68
* Use BODMAS to solve the sum
At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:$2.95 $1.19 $4.61 $1.74 $3.04 $8.83 $1.16 − $0.75 (coupon) − $1.00 (coupon) The register gives your total bill as $21.77.
Answer:
0 is the best answer 12345
I would like to know if somebody could help me on this math problem.
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
Given the function [tex]f(x)=x^2-2x-5[/tex] , determine the average rate of change of the function over the interval [tex]-5\leq x\leq 6[/tex]
PLEASE HELP ASAPP
Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, 6 ] , then
f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19
f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30
Then
average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
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Write the number 0.000 000 7 in standard form.
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Answer:
51.2578125
Step-by-step explanation:
3 * (3/2)^(8 - 1)
3 *(3/2)^7
51.2578125
In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?
Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.
The tiles are chosen without replacement, hence, the hypergeometric distribution is used.
The population is composed by the 100 tiles.The sample is composed by 7 tiles.The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.
[tex]\frac{100}{7} = 14.28 < 20[/tex]
Hence, the binomial distribution cannot be used.
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if i make 6000 dollars per 5.6 hours how much will I make in total in 24 hours
Answer:
About $25,714.29
Step-by-step explanation:
Divide 6000 by 5.6 to get dollar per hour rate:
6000/5.6 = 1071.43 dollars per hour
Multiply by 24:
1071.42857 * 24 = 25714.29 dollars
About $25,714.29
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
75 ≥ 2s + 5l
75 = guests
2 is = amount of people per small table
5 is = amount of people per big table
[tex] \sqrt{5} = 2.236 \: and \: \sqrt{10} = 3.162 \: find \: the \: value \: of \: \sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80} [/tex]
Answer:
√10+√20+√40-√5-√80 = 2.778629
How many whole groups can you fit into 51?
Step-by-step explanation:
in one group 17members
in second group 17members
in third group 17members
Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.
PLEASE HELP ME I REALLY NEED HELP
Answer:
no
Step-by-step explanation:
We expect you're supposed to answer, NO. This is because an angle and two sides are specified, where the angle is not between the two sides. There is no SSA theorem for congruence, so this specification is generally considered to be insufficient.
_____
Additional comment
The given information is enough to completely specify the given triangle. The reason this is true is that the given angle is opposite the longest of the given sides. A general SSA theorem cannot guarantee that will be the case, so there is no general SSA congruence theorem.
Provided that you have corresponding side and angle information for the other triangle, congruence can be determined (yes). A single triangle by itself cannot be shown congruent to anything.