Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
help me plz if u get it correct i will mark
Answer:
i wish i could
Step-by-step explanation:
Answer:
32+(6w)
Step-by-step explanation:
add 32 that he already recorded plus 6 times w for however many more weeks he records for
Which is the graph of the inequality: y< (1/2x -2)^3
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤).
can someone please help me with these questions ( show work plz)
Answer:
3) Y = -1.5
Step-by-step explanation:
7=-2y+4
We move all terms to the left:
7-(-2y+4)=0
We get rid of parentheses
2y-4+7=0
We add all the numbers together, and all the variables
2y+3=0
We move all terms containing y to the left, all other terms to the right
2y=-3
y=-3/2
y=-1+1/2
The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet
Given :
Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .
Area of closet is , [tex]b=10.45\ ft^2[/tex] .
To Find :
Area of max's room including the closet .
Solution :
Let , area of max's room including the closet is A .
So , Total area = Area of room excluding closet + Area of closet .
[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]
Therefore , area of his room ,including the closet is 246.125 square feet .
Hence , this is the required solution .
i need help with this duhhh
Answer:
Step-by-step explanation:
4. (6^10)^-7 is when the exponents should be multiplied
answer is B
5. (7^3)^-2 = (7^-6)
1/7^6 = 1/(7x7x7x7x7x7)
answer is A
2. 11^-4/11^8= 1/11^(8+4) = 1/11^12
answer is A
3. (2^5/3^2)^4= 2^20/3^8
answer is A
Answer:
the answer is what the other person said lol
Step-by-step explanation:
how do you say 19,034,600 in word form?
Answer:
nineteen million thirty four thousand six hundred
I think this is right
Step-by-step explanation:
Answer:
Nineteen million thirty four thousand six hundred
Step-by-step explanation:
help me plzzzzz need help
Answer:
D.
15/20, 0.75
Hope this helps! :)
Could somebody help me with number 1 through 4
f(x) = x – 5x + 2 – 3x + 6
State how many complex and how many zeros the function have?
6+7m<6m or 3m-7<5+6m
Step-by-step explanation:
6+7m<6m or 3m-7<5+6m
6<7m+6m or 3m-6m<5+7
6<13m or -3m<13
m<13/6 or m<13/-3
m<2.16 or m<-4.333
m<2.2 or m<-4.34
The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17
Answer:
n = 10
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]
= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]
= [tex]y^{(20-10)}[/tex]
= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10
Answer:
10.
Step-by-step explanation:
I took the test with this question
M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .
The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
What is a System of equations?simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.
Since,
M is the midpoint of RT
Thus,
RM = MT
5x + 9 = 8x - 36
3x = 45
x = 15
So,
1) RM = 5x + 9
RM = 75 + 9 = 84
2) MT = 8x -36
MT = 120 - 36 = 84
3) RT = RM + MT
RT = 84 +84 = 168
Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
Learn more about the System of equations here:
https://brainly.com/question/12628931
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A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)
Answer:
1.09 moles.
Step-by-step explanation:
There is 70g of water in 140ml of solution.
This means there are 17.5g of water in 35ml of solution. (Divide by 4)
In 17.5g of water, there are 17.5/16 = 1.09 moles of water.
Solving Absolute Value Equations: Solve 4|x+7|+8=32
what is the value of x if segment BC is 2x+4 and line Ac is 24
Greetings from Brasil
Let us call the distance AB of Y (in the problem nothing is said about this dimension, so lets call of Y).
From the attached drawing we can conclude that:
AB + BC = AC
where
AB = Y
BC = 2X + 4
AC = 24
then
AB + BC = AC
Y + (2X + 4) = 24
X = (20 - Y)/2In my view this question is incomplete
9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least
greatest to least:
9.75, 9.5, 9.375, 9.125
i feel so stupid right now it makes me mad
how do you describe a correlation
Answer:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
Step-by-step explanation:
sue withdrew $85 a month from her savings account for 7 months. what was the change in her balance?
Answer:
-595 was the change in her balance
Step-by-step explanation:
85*7=595
Withdrew=Negative(-)
30 POINTS PLEASE HELP THIS IS DUE TMRRRR
Jane and Tony were given the following expression: -2 (3x - y)^2. Jane translated it to say" the product of -2 and the difference
between three times a number and a number squared". Tony translated it to say "-2 times the difference of three times a number and the
square of a different number".
1. Whose translation is correct?
Answer:
I think Tony would be right, I THINK!!
Write an algebraic expression for each verbal expression: 1.) The product of 5 and twice a number x, decreased by the product of 3 and that same number. 2.) Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8
Answer:
1) (5 times 2x) - (3 times 2x)
2) x+y) times 2 + (x*2 times 8)
explanation:
for "times" put a multiplication sign and the astric ( * ) is for the exponent or meaning "to the power of" :)
The first equation will be formed as: [tex](5 times 2x) - (3 times 2x)[/tex]
The second equation will be performed as [tex](x + y) times\ 2 + (x*2 \ times 8)[/tex]
What is multiplication?When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.
1.) The composition of 3 and that identical number, multiplied by 5, lowered by the products of 5, and double that amount will be represented as (5 times 2x) - (3 times 2x)
2.) The product of the square root of the first variable and eight times a quantity x and a quantity will be represented as (x+y) times 2 + (x*2 times 8)
Learn more about multiplication, Here:
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pleaseeee help!! (click on the pic)
A submarine is submerged to a depth
of 650 feet below sea level. It ascends
225 feet and then dives 50 feet.
Write an expression that represents the
new position of the submarine.
Answer:
-650 + 225 = -425 -425 - -50 = 475 feet
Step-by-step explanation:
A circle has a radius of 7 inches. What is the area of the circle? Use 3.14 for p.
(Area of a circle = pr2)
Answer:
The answer is
153.86 sq. inchesStep-by-step explanation:
Area of a circle is given by
A = πr²where r is the radius of the circle
From the question
r = 7 inches
So the area of the circle is
A = 3.14(7)²
= 3.14 × 49
We have the final answer as
153.86 sq. inchesHope this helps you
Here, we are given with a circle whose radius = 7 inches, and we are asked to find the area of the circle. Taking value of π = 3.14
We know,
Area of the circle = πr²Here,
π = pi (An irrational number used for curves)r = radius of the circleSo, let's find the area,
➝ Area of the circle = πr²
➝ Area of the circle = 3.14 × 7²
➝ Area of the circle = 3.14 × 49
➝ Area of the circle = 153.86 inch²
Hence, Area of the circle:
[tex] \huge{ \boxed{ \bf{153.86 \: {inch}^{2} }}}[/tex]
And we are done !!
#CarryOnLearning
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Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY.
Answer: 60 feets
Step-by-step explanation:
Given the question :
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan?
Using a scale factor of 1 inch : 12 feet
Wingspan of plastic toy bird = 5 inches
Calculate the actual bird wingspan
(1 inch / 12 feet) = (toy bird wingspan / actual bird wingspan)
( 1 inch / 12 feet) = (5 / actual bird wingspan)
Actual bird wingspan = 5 × 12
Actual bird wingspan = 60 feets
10. Write and equivalent expression for the
expression 4-4.
Answer:
0
Step-by-step explanation:
There are an infinite number of equivalent expressions. Perhaps the simplest is the value of the expression:
4 - 4 = 0
If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain
Answer:
Always
Step-by-step explanation:
In order for an integer to be even, one of the factors must be 2. Otherwise, it is odd.
If A is an odd number, it does not have a factor of 2.
If B is an odd number, it also does not have a factor of 2.
Therefore, AB also does not have a factor of 2, so it is always odd.
When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 220 vehicles in the parking lot, how many of them are cars, and how many of them are trucks?
Answer:
88 cars132 trucksStep-by-step explanation:
This is a ratio problem, the ratio of cars to trucks
for every 4 cars, there are 6 trucks
represented as a ratio we have 4:6
1. how many of them are cars
applying the part to whole strategy we have
4+6 = 10
let cars be x
[tex]\frac{4}{10}= \frac{x}{220} \\\\x= \frac{220*4}{10} \\\\x= 880/10\\\\x= 88 cars[/tex]
2. how many of them are trucks?
let trucks be y
[tex]\frac{6}{10}= \frac{y}{220} \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks[/tex]
Pls Help me with ths question
Answer:
Step-by-step explanation:
x=√(5+2√6)/(5-2√6)
x²(x-10)²=1
substitute the value of x in the equation
[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=
solve :
(49+20√6)(49-20√6)=1 multiply
1=1 proved
compare 0.8 and 7/10
Answer:
O.8 is greater than 7/10
Step-by-step explanation:
0.8 is in the tenths Place So you know that equals 80 ones Out of one hundred. So you have 80/100 if you divide 80 and 100 by ten it reduces to 8/10. You know that 8/10 is greater than 7/10. Hope this helped .
A 64-fluid-ounce carton of fruit punch costs $1.28. What is the price per cup?
Answer:
16 cents a cup
Step-by-step explanation:
64 divided by 8=8
1.28 divided by 8=0.16