What is the solution of the system of equations below?
y + 2x = 2
y + 4x = 0
F. (1, -4) G. (-1,-4) H. (-1, 4) I. (1, 4)
Answers
G
Solution:
Here,
y+2x=2
y=2-2x
Now,
Putting the value of y
y+4x=0
2-2x+4x=0
2+2x=0
2(1+x)=0
1+x=0
x=-1
Then,
Putting the value of x
y=2x-2
=2×-1-2
=-2-2
=-4
Hence,the solution is (-1,-4)
Related Questions
BRAINLISRST AND EXTRA POINTS I NEEDS I HELP
Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?
Answers
Answer:150/3.5
Step-by-step explanation:
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answers
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?
Answers
P × R × T ÷ 100
333,500 × 8% ×24 ÷ 100
64,032,000÷100
640,320
The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Calculation of the amount of profit:Since annual profit is $333,500
The profit percentage should be likely 8%
And, the number of years should be 24
So, the amount of profit should be
[tex]= $333,500 * (1 + 0.08)^{24[/tex]
= $2,114,784
hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Learn more about profits here: https://brainly.com/question/10176219
“Puppies are cute animals.”
1. Write the quote as a conditional statement.
Answers
Answer:
Puppies are the cueist
Step-by-step explanation:
Answer:
there is a eye which will make you fall for it .
guess which eye is it
b) Re-write the statement 16 + 5 + 2 - 1 by including one pair of brackets
Answers
Answer:
hello !!
answer ;
(16 + 5 + 2) - 1
<.........kai.........>
what is 92.471 to the nearest tenth
Answers
Answer:
92.75
Step-by-step explanation:
tenth spot is to right of decimal round up or down depending on the next number
Find the volume of the figure
Answers
Answer:
760ft
Step-by-step explanation:
First you find the volume of the rectangle thing :)
so 14 times 19 times 2 = 532ft
than you need to do the triangle so 20 - 14 (for base length) is 6
so 19 times 6 times 2 = 228ft
now you ad them, so 532 + 228 = 760
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$
Answers
Answer:
The equation is;
3(x + 0.75) = 5.88
The original price is $1.21
Step-by-step explanation:
Let the original price per pound be $x
By going up, the new price will be;
(x + 0.75)
3 times this is the new price;
3(x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 3.63
x = 3.63/3
x = $1.21
Find the value of x. Simplify in simplest radical form.
Answers
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
what is the value of X in degrees?
Answers
Someone help me please
Answers
Answer:
x=4
Step-by-step explanation:
PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST
3. Find x.
Find the value of x.
A) 3.5
B) 7
C) 7.5
D) 10
Answers
Answer:
I believe the answer is D: 10
Step-by-step explanation:
If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answers
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
The length of the living room is 3 feet more than its width . The area of the living room is 270square feet write and equation that reprints the area of the living room
Answers
Answer
x^2+3x=270
Explanation
x (x+3) =270
x^2+3x=270
ME HAS CONFUSION PWEASE HELP
Answers
Answer:
The answer is 261
Step-by-step explanation:
Answer:
sorry if i am wrong but i think it is 35
Step-by-step explanation:
i think you have to add the 37 and 39 to get 76 and subtract 111 to get 35
MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️
Answers
Anime club: 500 - 30y
Computer club: 150 + 20x
*you could use any letter(variable) you like*
If the perimeter of a square is 20 cm, what is its area?
Answers
Answer:
25cm
Step-by-step explanation:
each side is 5cm so multiple 5cm times 5cm then you get 25cm
Answer:
25cm^2
Step-by-step explanation:
P=4a
20=4a
a=5
A=a^2
A=5^2
A=25 cm^2
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.
Answers
Answer:
At 5:15 PM , they will ring together.
Step-by-step explanation:
We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.
In order to find when both will ring together again, we can find the LCM of these two numbers.
15 = 3 × 5
25 = 5 × 5
Therefore, LCM of these two numbers is
LCM = 5 × 5× 3
LCM = 75
Hence, 75 minutes = 75/60 = 5/4 hours
Therefore, at 5:15 PM , they will ring together.
At 5:15 PM the clocks will ring together.
What is Least Common Multiple?In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
Given:
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.
In order to find when both will ring together again, we have to find the LCM of 25 and 15 as
15 = 3 × 5
25 = 5 × 5
LCM (25, 15) = 5 × 5× 3
= 75 min
= 1 hour 15 minutes.
Hence, At 5:15 PM the clocks will ring together.
Learn more about least common multiple here:
https://brainly.com/question/30060162
#SPJ2
Find the area of a pizza with radius 4 inches.
Answers
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72 i need it instantly cause i have that question pulled up
Answers
Answer:
64.5
Step-by-step explanation:
You understand the question, and already have the numbers in order, you're almost there!
So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
...and so on, until you have:
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:
(61+61)/2
=61
(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.
Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
^median/half-way point
We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
And you repeat the process! (I'm not going to show the underlining though lol)
There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.
(64+65)/2
=129/2
=64.5
That's your final answer. Hope I could help you!
Answer:
64.5
Step-by-step explanation:
i just answered and got it right
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answers
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
Area and Perimeter.
Answers
Answer:
A = b x h
P = b + b + h + h
A = 84 in
P = 38 in
a= 84
p= 38
Like a neighbor, state farm is there.
Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0)
Answers
Answer:
(4, - 1)
(-1, 6)
Step-by-step explanation:
Given the expression :
3x+y<14
Test the opprions to find out the true statement.
(7, - 7)
3(7) + (-7) < 14
21 - 7 < 14
15 < 14 (not true)
(-1, 6)
3(-1) + 6 < 14
3 + 6 < 14
9 < 14 ( true)
(3, 6)
3(3) + 6 < 14
9 + 6 < 14 ( not true)
(4, - 1)
3(4) - 1 < 14
12 - 1 < 14 ( true)
(6,0)
3(6) + 0 < 14
18 < 14 ( not true)
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answers
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?
Solve and explain for BRAINLIST
Answers
17.50/5 = 3.50= 1 gallon
so you divide 49 by 3.5 and you get 14 and 14= 14 gallons
Step-by-step explanation:
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answers
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
Polynomial Multiplication: Please HELP ITS FOR MATH!!!!
Answers
Answer:
Step-by-step explanation:
1. Monomial times Monomial
2. Binomial times Binomial
3. Binomial times Trinomial
4. Monomial times Trinomial
5. Binomial times Monomial
Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)
Step-by-step explanation:
The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers
Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
495 miles
Step-by-step explanation:
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answers
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation: