Given:
The system of equations is
[tex]y=x-3[/tex] ...(i)
[tex]y=-2x+1[/tex] ...(ii)
To find:
The set of coordinates that satisfies the system of equations.
Solution:
On equating the given equations, we get
[tex]x-3=-2x+1[/tex]
[tex]x+2x=3+1[/tex]
[tex]3x=4[/tex]
Divide both sides by 3.
[tex]x=\dfrac{4}{3}[/tex]
Putting [tex]x=\dfrac{4}{3}[/tex] in (i), we get
[tex]y=\dfrac{4}{3}-3[/tex]
[tex]y=\dfrac{4-9}{3}[/tex]
[tex]y=\dfrac{-5}{3}[/tex]
Therefore, the required set of coordinates that satisfies the given system of equations is [tex]\left(\dfrac{4}{3},\dfrac{-5}{3}\right)[/tex].
The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?
46254 58160 09695 38399 40400 32662
462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045
Answer:
B.
Step-by-step explanation:
edge2020
While making soup, Jenna added 5 fluid ounces of broth. About how many milliliters of broth does she add to her soup?
please help as fast as posible this is 100 pints
Answer:
148
Step-by-step explanation:
5 times 29.6
slope point -
through:(3,-1) and (-1,-4)
Answer:
m = 3/4 or 0.75Step-by-step explanation:
Use slope formula:
m = (y₂ - y₁)/(x₂ - x₁)Substitute values of coordinates:
m = (-4 - (-1))/(-1 - 3) = -3/-4 = 3/4 or 0.75Slope
m=(-4+1)/(-1-3)m=-3/-4m=3/4Please help!! I have to turn this is QUICK!!
Kenya bought 4 boxes of
pencils for $3.99 each. She
also bought 2 boxes of
markers for $4.99 each. If
she paid the cashier with a
$50 bill, how much change
will Kenya get back?
Answer:
$24.06
Step-by-step explanation:
pencils: x
markers = m
y = total
y - (4x + 2m)
50 - (4*3.99 + 2*4.99)
50 - (15.96 + 9.98)
50 - 25.94
24.06
Answer:
24.94
Step-by-step explanation:
4 times 3.99 is 15.96
2 times 4.99 is 9.98
15.96 plus 9.98
What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.
Answer:
wait what
Step-by-step explanation:
Three gallons of gasoline cost $3.36. How much does 5 gallon cost?
Answer:
Step-by-step explanation:
5gal($3.36/3gal)=$5.60
Answer:
$5.68 i think
Step-by-step explanation:
I GOT THE POWER OF GOD AND ANIME ON MY SIDE
What is the angle of F?
R 134 degrees
L 68 degrees
Answer:
angleF=66
Step-by-step explanation:
F+L=R
F+68=134
F=134-68=66
or
360-68-(180-R)=66
HIRRY TIMED!!!!! 20 POINTS!!! PICTURE EXPLAINS IT ALL!!
Answer:
p = 7
Step-by-step explanation:
trust me
Answer:
p = 7
Step-by-step explanation:
Given value of q = 4 so,
5p - 11 = 6 × 4
=> 5p = 24 + 11
=> 5p = 35
[tex] = > p = \frac{35}{5} [/tex]
=> p = 7(Ans)
Solve for x. Enter the solutions from least to greatest.
2x^2 – 24x + 54 = 0
lesser x =
greater x =
Answer:
3
9
Step-by-step explanation:
(2x-6)(x-9)=0
lesser x = 3
greater x = 9
The population of a city in 2000 was 18,500 people. Since then the population has increased 4.8% every year. Determine the correct equation that would represent what the population would be in the year 2028.
Answer:
see below
Step-by-step explanation:
Consider the year 2000 to be year 0. This would make year 2028 year 8.
Population growth or decay function: [tex]A = Pe^{rt}[/tex]
where A is the final amount, P is the principal amount, r is the rate, and t is time.
[tex]A = 18,500e^{(0.048)(8)}[/tex]
This can be simplified to
[tex]A = 18,500e^{0.384}[/tex]
Hopefully this is what the question is asking!
Pleaseee helpp don’t understand!!
Answer:
Step-by-step explanation: so
First you should have paired attention and I don’t understand either sorry!
the cost of a ticket increases by 10% to £19.35 work out the original cost
Answer:
£17.59
Step-by-step explanation:
100 + 10 = 110% (Price of a ticket after increase)
110% = 19.35
1% = 19.35 ÷ 110 = 0.1759
100% = 0.1759 x 100 = 17.59
x-8/6 = 1/3 what is X
Answer:
x = 10
Step-by-step explanation:
Answer:
i got the answer 10
x-8/6 =1/3
or, x-8 = 6/3
or, x=8+2 =10
Please help!!!!!
I took an picture of the question
Answer:
6
Step-by-step explanation:
Remember f(x) or g(x) in this case is like saying 'y' so when y = 0 x = 6
Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces does she cut?
Answer:
so this is clearly a division problem
the equation will be
5 ÷1/3 Keep switch flip
according to KSF the equation will change to this
5*3 = 15
So she will be able to cut 15 peices.
Thank you, Hope it helps
Help Plz again plzzzzzzzzzzzzzzzz
The angles are adjacent because they are next to each other adding to 90 degrees.
How do we find x?
Angle 1 + Angle 2 = 90°
31° + (10x - 1)° = 90°
10x + 30 = 90°
10x = 90° - 30
10x = 60°
x = 60°/10
x = 6
Answer: Adjacent and x = 6.
How much energy, in joules, is released by an earthquake of magnitude 4?
Answer:
25,118,864,315 J
Step-by-step explanation:
5. Which number line represents the solution to the inequality shown below? 9×<36
Answer:
x<4
Step-by-step explanation:
9x<36
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x<36/9
Divide 36 by 9 to get 4.
x<4
I need help !! I’ll give brainliest for the correct answer.
Find the exact value of the product cos82.5cos52.5
Two girls and three boys are entered in a school raffle that has two prizes. If a person is not allowed to win both prizes, what is the probability that two girls win?
Answer:
the probability of them both winning is 2/10 or 1/5
Step-by-step explanation:
(2/5)/2=2/10
0.4x + 2.9 = 1.5
what is x
Answer:
x= −3.5
youre welcome
Answer:
x= -3.5
Step-by-step explanation:
Step 1: Subtract 2.9 from both sides.
Step 2: Divide both sides by 0.4.
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answer:
A.1/6
Step-by-step explanation:
RECTA NUMERICA:
¿Qué puedes concluir acerca de los enteros en general mientras mas a la derecha de la recta se encuentran?
A person invested \$8,700$8,700 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$23,100$23,100?
Answer:21.13208319 =21.1
Answer: Probly 10 years or less
Step-by-step explanation:
work out the size if angle x 130 degrees and 96 degrees
Answer:
130= x+96
130-96=x
34=x
Step-by-step explanation:
Answer:
34°
Step-by-step explanation:
130+50=180 (straight line)
50+96=146
180-146=34°
what are the x and y intercepts of the equation 2x-y=4
Answer:
x-intercept:(2,0)
y-intercept:(0,-4)
Step-by-step explanation:
Find the missing term: 4x + x + ______ = 7x
Answer:
2x
Step-by-step explanation:
2x + 4x + x = 7x
good luck, i hope this helps :)
Answer:
2x
Step-by-step explanation:
x with no coefficient is 1x
4x+1x=5x
7x-5x= 2x (ur answer)
20 points :D
Point A is located at (1,13). Point B is located at (5,8).
Draw parallelogram ABCD in the coordinate grid such that side BC is 7 units long and lies entirely in the first quadrant.
Answer:
Step-by-step explanation:
A(1,13), B(5,8)
Let C be 7 units to the right of B: C(5+7,8) = C(12,8)
Let D be 7 units to the right of A: A(1+7,13) = A(8,13)
hat is the surface area of a cylinder that has a volume if 785.4in3 and a radius of 5 in?
A 471.2in2
B 10in2
C 150in2
D 4712.3in2
Answer:
A. 471.2 in²Step-by-step explanation:
Cylinder volume:
V = πr²hCylinder surface area:
A = 2πr(r + h)Find h from the first equation:
h = V/(πr²) = 785.4/(3.14*5²) = 10 inFind surface area:
A = 2π(5)(5 + 10) = 471.23 in²Correct choice is A
Answer:
volume of cylinder=πr²h
785.4=22/7×5²×h
h=785.4×7/(22×25)=9.99=10in
Step-by-step explanation:
surface area of cylinder =2πr(r+h)=2π×5(5+10)=
471.238898038in²
A 471.2in2 is your answer.