6x — 5y = 15
x = y + 3
х =
y =
Answers
Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
Related Questions
Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%
Answers
Applying the points given, it is found that the growth rate of the exponential function is:
c. 50%
An exponential function has the following format:
[tex]y = a(1 + r)^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.In this problem:
The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.[tex]y = a(1 + r)^x[/tex]
[tex]75 = 15(1 + r)^4[/tex]
[tex](1 + r)^4 = 5[/tex]
[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]
[tex]1 + r = 1.4953[/tex]
[tex]r = 1.4953 - 1[/tex]
[tex]r = 0.4953[/tex]
Thus, approximately 50%, option c.
A similar problem is given at https://brainly.com/question/23416643
Answer:
50% is the correct answer
Step-by-step explanation:
I took the test.
Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)
Answers
equivalent equation to 3/50-x/50=7/50
Answers
Answer:
x=-4
Step-by-step explanation:
Multiply both sides by 50 and you get
3-x =7,
so x= -4
In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answers
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
What is the square root of 18 plus the square root of 2? And is it rational or irrational?
Answers
A carpenter bought a piece of wood that was 0.54 meters long. Then he sawed 0.39 meters off the end. How long is the piece of wood now?
Answers
Answer:
Simply substract 0.39 from 0.54 = 0.15
Therefore the carpenter is left with 0.5 metre of wood.
6x² +12x²y + 6xy² chỉ tui đi
Answers
Answer:
6x(x+2xy+y^2)
Step-by-step explanation:
Does anyone know this please!!?!?
Answers
Answer:
5)3/2
6) 7
7)16
8)13
9)27
10)17
Step-by-step explanation:
5) 4x+3=10x-1
x=3/2
6)9x-25=38
x=7
7)5x-7=
the cost is 15,000.00 and a markup of 90%
help plez :)
Answers
Revenue: 28,500 $
Profit: 13,500
From what I calculated
Have a blessed day and God bless.
15 examples of real life situations where we apply approximation
Answers
Answer:
Have a splendiferous day!
Hope this helps!
Step-by-step explanation:
Shopping at the grocery store
Rough calculations of math
Figuring out time it would take to reach a location
Making nearly accurate measurements
Trying to stay within a budget
Solving extremely complicated numbers
Dealing with decimals
For quick calculations in a business
To prepare ahead, e.g an overestimate
and so on.
Select the equation that contains the points, (-2,-2) and (4, 10).
O y+6=-2(x+1)
O y+2 = 6(x+6)
O None of the other answers are correct
O y-6= 2(x-2)
O y-6=-2(x - 2)
Answers
Solving quadratic equation by Factorization
[tex]10x {}^{2} - x = 2[/tex]
Help me pleasee
Answers
[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]
5 of 8
Here is a list of numbers:
-3, 1, –12, 10, 1, 16, 19, 4, 16,
2
State the median.
Answers
Answer:
3
Step-by-step explanation:
You and a group of friends went out to eat at Red Lobster. Your bill came to $89.75. You gave the waitress a 28% tip. What is the total bill including the tip?
Answers
Answer:
tip total = $25.13
total(bill+tip) = $114.88
If 20 apples cost N300 how many apples can be bought for N1875
Answers
Answer:
28125
Step-by-step explanation:
300÷20=15
15×1875=28125
find T1 and T2, if a 60 N load is hanged and in equilibrium position.
Answers
Answers:
T1 = 59.5677879151077 N
T2 = 45.7583538175564 N
The values are approximate. Round the values however you need to.
=========================================================
Explanation:
Refer to the diagram below. I have added red and blue lines to break up each tension vector into the x and y components. For tension T1 in red, we have x1 and y1 as the horizontal and vertical components respectively. Note that x1 points to the left and y1 points upward.
For T2 in blue, we have x2 point to the right and y2 point upward. The horizontal components x1 and x2 must be equal, and point in opposite directions, so that we have horizontal balance. Otherwise, the object would accelerate to one side rather than be stationary.
Applying a bit of trig, we can say
cos(angle) = adjacent/hypotenuse
cos(45) = (x1)/(T1)
x1 = T1*cos(45)
and also
sin(angle) = opposite/hypotenuse
sin(67) = (x2)/(T2)
x2 = T2*sin(67)
----------------------
Again, the x1 and x2 vectors must be equal in magnitude, allowing us to say this
x1 = x2
T1*cos(45) = T2*sin(67)
T1 = T2*sin(67)/cos(45)
which we'll use later.
----------------------
Doing a bit more trig set up, we know that
sin(45) = (y1)/(T1)
y1 = T1*sin(45)
and
cos(67) = (y2)/(T2)
y2 = T2*cos(67)
Adding those two y components together will yield the total upward force that the ropes apply
y1+y2 = T1*sin(45)+T2*cos(67)
y1+y2 = (T2*sin(67)/cos(45))*sin(45)+T2*cos(67)
y1+y2 = T2*( sin(67)*sin(45)/cos(45) + cos(67) )
y1+y2 = T2*( sin(67)*tan(45) + cos(67) )
y1+y2 = T2*( sin(67)*1 + cos(67) )
y1+y2 = T2*( sin(67) + cos(67) )
This combined upward pull must be equal to 60 newtons or else we wouldn't have vertical equilibrium. If the upward pull was smaller than the downward pull, then the object would be falling. If the other way around, then the object would be pulled upward at some accelerated speed (think of a spring action).
So we'll set y1+y2 equal to 60 and solve for T2
y1+y2 = 60
T2*( sin(67) + cos(67) ) = 60
T2 = 60/( sin(67) + cos(67) )
T2 = 45.7583538175564
That value is approximate. The units for T2 are in newtons. This is the amount of pull or force along the T2 line in the upper right direction.
Side note: make sure your calculator is in degree mode.
----------------------
The last thing to do is to compute T1
T1 = T2*sin(67)/cos(45)
T1 = 45.7583538175564*sin(67)/cos(45)
T1 = 59.5677879151077
That value is approximate as well. The units are also newtons here. This represents the amount of pull in the upper left direction as the diagram shows.
----------------------
Finding such values for T1 and T2 is useful to determine if a rope can handle a certain stress load. Let's say we had a rope that was rated for only 40 newtons. Anything beyond 40 N for this hypothetical rope would mean the rope breaks. We found T1 and T2 beyond this threshold which would indicate that such a rope isn't up to the task of holding this object up (at least not with the angles shown in the diagram).
SOLVE FOR X ILL GIVE BRAINILEST
Answers
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]Step 2: Subtract 5 from both sides.
[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]Step 3: Divide both sides by -7.
[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]Step 4: Check if solution is correct.
[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]Therefore, x = -4.
The mass of Earth is approximately 5.97 × $10^{24}$ kilograms. The mass of Mars is approximately 639,000,000,000,000,000,000,000 kilograms. What is the mass of Mars in Scientific Notation? $10^{23}$
Answers
9514 1404 393
Answer:
6.39×10²³
Step-by-step explanation:
There are 23 digits to the right of the most significant digit (6), so it is in the number place with a place value of 10²³. The number in scientific notation is ...
6.39×10²³ . . . . kg
help what is the answer to this'
Answers
Answer:
Your answer is x [tex]\geq[/tex] 77
Step-by-step explanation:
[tex]\frac{x}{7} \geq 8+3[/tex]
[tex]\frac{x}{7} \geq 11[/tex]
[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]
[tex]x \geq 77[/tex]
Hope this helps!
Read the statement below and then select the idea that can be inferred from the statement.
Toxicity is high in cities. HELP FASSSSSSSST!!!!!
Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.
Answers
Answer: I would say 4
Step-by-step explanation:
Answer:
There are more factories in the city than in the country.
Step-by-step explanation:
Hope this helps!
Maria stated that 5/6 is between 4/5 and 6/7
Answers
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
4.5 kg equals times one gram
Answers
Answer:
4500 gr
Step-by-step explanation:
4.5 kg equals some number (n) times one gram. Solve this for n:
4.5 kg = n(1 gr)
Recall that 1 kg = 1000 gr. Because of this, the equation above becomes
4.5 kg (4.5)(1000 gr)
n = --------------- or ------------------- or 4500 gr
1000 gr 1 gr
Sam started cooking at 7;43 AM and finished at 8;32 AM. how long did it take him?
Answers
Answer:
49 minutes
Step-by-step explanation:
7: 43
8: 32
17 minutes 'till 8:00
Another 32 'till 8:32
so add 17+32
A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.
Answers
Answer:
676 pi
Step-by-step explanation:
208 ÷ 4 =52
(each length =52cm)
diameter = 52 cm
radius = 52÷2 = 26cm
area of circle = pi × radius ^2
pi × 26^2 = 676 pi
Help help help help help help help
Answers
9514 1404 393
Answer:
1400 in 2020
Step-by-step explanation:
The number of students is increasing by 100 each year, so in 3 more years, the number will be 1100 +3×100 = 1400 students in 2020.
A translation 2 units to the right and 10 units up. Then a reflection over the line AC
Answers
help???? i will be so greatfull
Answers
ii 200
iii 350
i 50
ii 200
iii 250
Olivia started knitting a jumper
4 hours and 43 minutes before 19:13
What time did she start knitting the jumper?
Give your answer in 24 hour time.
Answers
Answer: 14:30
Step-by-step explanation:
19:13 - 4.43 looks easy, but time expressed in 24-hour format is a base 60 calculation in the decimal portion. It only contains values between 0 and 59.
I broke it it down to simplify:
1) Take 13 minutes off the 19:13 to make it 19:00.
2) Then take the same 13 minutes off the 4.43, which would make it 4.30 (4 1/2 hours)
3) Now take off the 4.30 from the 19:00. The 4 portion of 4.3 can be removed: 19:00 - 4:00 = 15:00. Then remove the 0:30 portion (1/2 hour), which would leave 14:30.
14:30 plus 4:43 = 18:73, but the 0:73 must convert to 1:13 to account for the 60 minutes/hour format
Olivia started knitting a jumper at 13:30.
What is 24-hour time format?A 24-hour time format is similar regular AM/PM time, except that you keep counting up after you get past 12 PM (noon). So 1 PM in 24-hour format is 13:00, 2 PM is 14:00, and so on. All you need to do is add 12 to any time in the PM to get 24-hour format time.
How to calculate the time?The given time is 19:13 and Olivia started knitting a jumper
4 hours and 43 minutes before the given time.
Then he starts at 13:30 started knitting a jumper.
Learn more about what time Olivia started knitting the jumper here-brainly.com/question/25212957
#SPJ2
So, the question on my test was a pair of in line skates is on sale for 90. if this price represents a 9% discount from the original price, what is the original price to the nearest cent. My teacher got 98.90, but i got 98.10. which is mathematically correct?
Answers
Step-by-step explanation:
I got 98.1, not sure how she got her answer
Solve pls
6(n-4)=3n