What is the solution to this system of equations?
X+ 2y = 4
2x-2y = 5
0 (3.-52
0 (3.3
O no solution
infinitely many solutions
Answers
Answer:
3, 1/2
Step-by-step explanation:
x + 2y = 4
2x - 2y = 5
_______________ +
2x + x + 2y + (-2y) = 4 + 5
3x + 0 = 9
3x = 9
x = 9/3
x = 3
if you want to find the value of y, you just have to choose one of the equation. I will choose x + 2y = 4, even if you choose 2x - 2y = 5 the result remains same
x + 2y = 4
3 + 2y = 4
2y = 4 - 3
y = 1/2
x, y = 3, 1/2
#CMIIWi'm sorry, i'm not good at english ^^
Related Questions
how do I solve sin(4x)=sin(2x)?
Answers
Answer:
sin(4x) = sin(2x) is unsolvable.
Step-by-step explanation:
The two sides are not equal.
a - 2/3 = 3/5 how much is a?
Answers
Answer:
19/15
Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.
Duncan has cups of sand. He divides the sand equally into 4 containers. He uses all the sand in 1 container to make pieces of sand art. It takes cups of sand to complete each piece of sand art. How many pieces of sand art does Duncan make? A. 1 2/3 B. 2 C. 4 D. 5 5/9
Answers
Answer:
4
Step-by-step explanation:
From the above question:
1/4 cup of sand = 1 sand art
1 cup of sand = x
Cross Multiply
x × 1/4 cup of sand = 1 cup of sand × 1 sand art
x = 1 cup of sand × 1 sand art/1/4 cup of sand
x = 1 ÷ 1/4
x = 1 × 4
x = 4 pieces sand art
Therefore, Duncan can make 4 pieces of sand art.
Answer will give brainliest!
Answers
Answer:
One point would be on (0,0) and the other on (1,-5)
Step-by-step explanation:
hope this helped :)
Joseph is a friend of yours. He has plenty of money but little financial sense. He received a gift of $12,000 for his recent graduation and is looking for a bank in which to deposit the funds. Partners' Savings Bank offers an account with an annual interest rate of 3% compounded semiannually, while Selwyn's offers an account with a 2.75% annual interest rate compounded continuously. Calculate the value of the two accounts at the end of one year, and recommend to Joseph which account he should choose.
Answers
Answer:
The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.
Step-by-step explanation:
The value of the interest rate and the compounding applied, gives the
value in the account after one year.
The value of the account with Partner's Bank after one year is approximately $12,362.7, which is higher than the value in the Selwyn's account.The value in Selwyn's which after one year is $12,344.58.Joseph should choose the Partner's Bank accountReasons:
The amount Joseph receives as gift, A₀ = $12,000
Amount interest from Partner's Savings Bank, r = 3% compounded semiannually
Interest rate offered by Selwyn's, r = 2.75% compounded continuously
Required:
The value of the two account at the end of one year.
Solution:
[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]
The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;
[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]
The value in the Partner's Savings Bank after one year, A(t) ≈ $12,362.7The value of an account at Selwyn's is therefore;
The interest rate compounded continuously is presented as follows;
[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]
A₀ = The original amount invested = $12,000
Which gives;
[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]
The value of the account at Selwyn's after one year, A(1) ≈ $12334.58Therefore, the account Joseph should choose is the Partner's Savings Bank that gives a higher value in the account after one year.Learn more here:
https://brainly.com/question/21896604
wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.
What was the total bill?
Plz help due at 11:59
I will mark right answer brainliest
Answers
1.05 = 0.21x
x = 5
The total bill is $5
find the range of f(x)=2/5x + 5 for the domain (-4, -2, 0 3)
my answer is 3.4, 4.2, 5, 6.2 but im not fully sure
Answers
Answer:
Your answers are correct
Step-by-step explanation:
3(2w -4) equals what
Answers
Answer:
6W-12
Step-by-step explanation:
Answer:
6w-12
Step-by-step explanation:
distribute:
3(2w-4) = 6w-12
Please help!
look at photo to answer!!!
Answers
Answer:
the answer is A
Step-by-step explanation:
-1+6=5
0+6=6
1+6=7
Landon is going to invest in an account paying an interest rate of 4.3%
compounded continuously. How much would Landon need to invest, to the
nearest hundred dollars, for the value of the account to reach $11,300 in 14
years?
Answers
Answer:
$6,100
Step-by-step explanation:
So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.
Answer:
$6200
Step-by-step explanation:
Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x
Answers
Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Answers
Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Step-by-step explanation:
Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedema’s 8th grade math class?
Answers
Late answer, but whatever.
Answer:
36. There are 36 students in the class.
Step-by-step explanation:
4/12 oatmeal
2/12 cinnamon
3/12 chocolate
9 peanut
The fractions added together = 9/12
This means the 9 students = 3/12 of the class
3 x 4 = 12
9 x 4 = 36
Find the distance from (-6, 1) to (-3, 5).
Answers
Answer:
9.8 units
Step-by-step explanation:
distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2
sqrt (-3 - (-6))^2 + (5 - 1)^2
sqrt (9)^2 + (4)^2
sqrt 81 + 16
sqrt 97
9.848857802
you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:
Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour
The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.
a) For which people is plan A best? For which people is plan B best?
b) When are the costs of the two plans the same and what is the cost?
Answers
Answer:
a
Step-by-step explanation:
Find the amount necessary to fund the given withdrawals.
Semiannual withdrawals of 270$ for 6 years, interest rate is 6.2% compounded semiannually
Answers
Answer:
the amount that necessary to fund is $2,671.61
Step-by-step explanation:
The computation of the amount is shown below;
Given that
PMT = $270
NPER = 6 × 2 = 12
RATE = 6.2% ÷ 2 = 3.1%
FV = $0
The formula is shown below:
=-PV(RATE;NPER;PMT;FV;TYPE)
After applying the above formula the present value is $2,671.61
hence, the amount that necessary to fund is $2,671.61
i’m lost on this help would be nice
Answers
Answer:
3x - 4 = 14
+4. +4
3x = 18
÷3. ÷3
x = 6
find the shaded region of the figure below
Answers
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + 6x² - 3x² - 8x - 9x + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?
Answers
Answer: - 17 C
Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).
Sombody please help ASAP!
Answers
Answer:
a translation down 9 unit
Step-by-step explanation:
the sixth term is 22 and the common difference is 6 what is the 15th term?
Answers
Answer:
76
Step-by-step explanation:
I made a chart to simplify it
1 | -8
2| -2
3| 4
4| 10
5| 16
6| 22
7| 28
8| 34
9| 40
10| 46
11| 52
12| 58
13| 64
14| 70
15| 76
Help. I need help asap
Answers
Answer:
sorry
Step-by-step explanation:
i can't understand your question
there is no clarity
What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done
Answers
Answer:
it's the 2nd one
Step-by-step explanation:
hoped I helped:)
Graph a line that has a slope of 5/2 and includes the point (-2, -7)
Answers
Y = 5/2x + b
Plug in the points
-7 = 5/2(-2) + b
-7 = -5 + b, b = -2
Equation: y = 5/2x - 2
Find two points and draw a line
(0, -2) and (-2, -7)
Draw a line between the points
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]
Answers
Step-by-step explanation:
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]
Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
Answers
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
Read more about transformation at:
https://brainly.com/question/4289712
#SPJ2
Need this answer as soon as possible
Answers
Answer:
x=22
Step-by-step explanation:
Rule states diagonals = same so 6x-36 = 96 in which x=22 cause 6(22)=132
132-36 = 96
X= 22
(6times22-36)° is equal to 96°
Mark brainliest if this helped! :)
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
A is the answer.
Step-by-step explanation: It would go up about 2.2 i hope i helped! <3
Answer: A is your answer
Step-by-step explanation:
3. A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picturt.
st
19 lei
(The figure is not drawn to scale.)
How tall, in feet, is the house?
B. 20
C. 175
D. 337
Answers
Answer:
its c because its not a b or d and its alround 13 feet
Step-by-step explanation:
Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)
Answers
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D