We need to form a system of equations:
3x + 2y = 2
2x + 3y = 4
Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).
6x + 4y = 4
6x + 9y = 12
Next, we can subtract the second equation from the first. We get:
0x - 5y = -8
Then this becomes:
-5y = -8
÷-1 ÷-1
5y = 8
÷5 ÷5
y = 1.6
Substitute 1.6 for y in one of the equations:
2x + 3(1.6) = 4
2x + 4.6 = 4
2x = -0.6
÷2 ÷2
x = -0.3
Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
which one is a function
Answer:
Table B
Step-by-step explanation:
In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.
help please like desperately in need of help
Answer: -8x^2 -2x+13
Step-by-step explanation:
group liked terms
-6x^2-2x^2-2x+5+8
Add numbers 5+8=13
-6^2-2x^2-2x+13
add similiar elements -6x^2-2x^2=-8x^2
-8x^2 -2x+13
What is the product of ( 4 + 3 i ) and ( 12 − 2 i )
Answer:
Step-by-step explanation:
(4+3i)(12-2i)
48 - 8i + 36i - 6i^2
48 + 28i +6
54 + 28i
A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per
second (s). The rock's height (h) above the bottom of the pool is given by the
equation: h = 72 – 4s. After how many seconds will the rock be half way to the
bottom?
Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.
How to solve math equation
what is it and why? having a good explanation would really help me. thx <3
Answer:
B. (-4-2)
Step-by-step explanation:
since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2
(-4-2)
You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.
i hope this helps :)
the picture i need help with this answer. the problem is in the picture
Answer:
Step-by-step explanation:
what is b? 0=-1/5(-1)+b
Answer:
b= -1/5
Step-by-step explanation:
Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:
1/5+b=0
b+1-1/5=0-1/5
b+0/5= 0 -1/5
b=0 -1/5
and you have b= -1/5 as your answer
6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader
Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.
Here, So far and plans to save an additional $10.50 each week.
Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x
So, We can formulate;
⇒ 10.50x + 34.75 = 160.75
Solve for x;
⇒ 10.50x = 160.75 - 34.75
⇒ 10.50x = 126
⇒ x = 126/10.50
⇒ x = 12
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the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks
Step-by-step explanation:
cars : trucks = 3 : 5
there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.
these 8 parts (or the whole) are in total 360.
therefore, 1 part = 360/8 = 45
cars get 3 parts of the whole parking lot, that is
45 × 3 = 135 cars
trucks get 5 parts of the whole parking lot, that is
45 × 5 = 225 trucks
can somebody help me out which one is correct
A , B , C , D ?
what is the answer to (x-2)^5 ?
Answer:
x² - 4x + 4
Step-by-step explanation:
(x -2)(x - 2)
x² - 2x - 2x + 4 Expand using FOIL.
x² - 4x + 4 Simplify.
Many gas stations give a discount for paying with cash instead of a credit card. William’s local gas station gives a discount of $0.05 per gallon. He fills his car with 20 gallons of gas. How much will William save by paying cash instead of credit card?
The amount that William would save by paying cash instead of credit card is $1
What is a Discount?This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.
Hence, given that there is a discount of $0.05 per gallon if you pay with cash
William fills 20 gallons of gas
The amount saved by paying cash by William would be 0.05 * 20 = $1
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Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?
Answer:
4.603/Lb
Step-by-step explanation:
$55.23 / 12 = 4.603/Lb
1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631
Answer:
D
Step-by-step explanation:
Process of Elimination:
A: 3.976 is greater than 3.97
B: 1.025 is lesser than 1.25
C: 9.145 is greater than 9.14
All of the options checked are true, leaving the answer only to be D.
Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40
Answer:
surface area=1/2perimeterofbase+slantheight+b(base)
Step-by-step explanation:
1/2(40)=20(8)=160+100=260D
Answer:
is 10+10+8+8+8+8
Step-by-step explanation:
just trial. not sure
What is the domain and range ?
Answer:
domain: [0, ∞)
range: (-∞, 0]
Step-by-step explanation:
the domain is all the possible x-values, which is all the numbers from 0 to infinity.
the range is all the possible y-values, which is all the numbers from negative infinity to 0.
If f(x) = 2x – 5, then what is the value of f(2) + f(5)
Answer:
4
Step-by-step explanation:
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4
Answer:
1
Step-by-step explanation:
What you can do is do [tex]3x-4=-x[/tex]
-4=-4x
x=1
CHECK:
[tex]3-4=-1[/tex]
[tex]-1=-1[/tex]
Can you help me with this question please!!
Answer:
Can you help me with this question please!! (D)
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
First to get it will get Brainly and 20 points. Good luck
[tex] \frac{1}{2} [/tex]
Answer:
the correct answere is 1:2
Step-by-step explanation:
my sister is working on the same thing and I helped her and she got it right.
Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
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please help me Im lost on this :(
Answer:
C
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]
Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.
Answer: C) 3x^2+8x-10=-8
Step-by-step explanation:
3x^2+8x-10x=-8
3x^2+8x-2=0
a=3 b=8 c=-2
Plug it into quadratic formula.
PLEASE HELP ME ASAP!!!!
Answer:
Subtraction property is the answer
Step-by-step explanation:
Mark brainliest please!
3) Find the square root of these numbers by division method . 24336
I want full answer
Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)
Answer:
14x+4
Step-by-step explanation:
5x+5x+2x+2x+3+3-1-1
5x+5x+2x+2x=14x
3+3-1-1=4
14x+4
Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.
Answer:
x > 14 ; x < 12
Step-by-step explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14
Area < 138, so that means 3*(4x-2) < 138, so x < 12
