Answers
Answer:
1) x = 3, y = 2 or (3, 2)
2) x = 0, y = 2 or (0, 2)
6) x = 3, y = – 4 or (3, – 4)
Step-by-step explanation:
I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.
Question 1:[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]
Substitute the value of y in equation 2 into the first equation:
y = -2x + 5
-x + 2 = -2x + 5
Add 2x on both sides:
-x + 2x + 2 = -2x + 2x + 5
x + 2 = 5
Subtract 2 from both sides to isolate x:
x + 2 - 2 = 5 - 2
x = 3
Substitute the value of x into Equation 2 to solve for the value of y:
y = -x + 5
y = -(3) + 5
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).
Question 3:
[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]
Substitute the value of y from Equation 2 into Equation 1:
3x + 5y = 10
3x + 5(-5x + 2) = 10
Distribute 5 into the parenthesis:
3x + -25x + 10 = 10
Combine like terms:
-22x + 10 = 10
Subtract 10 from both sides:
-22x + 10 - 10 = 10 - 10
-22x = 0
Divide both sides by -22 to solve for x:
[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]
x = 0
Substiute the value of x into Equation 2 to solve for y:
y = -5x + 2
y = -5(0) + 2
y = 2
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).
Question 6:[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]
Add 2x to both sides of Equation 2 to isolate y:
y – 2x = –10
y – 2x + 2x = 2x – 10
y = 2x – 10
Substitute the value of y from the previous step into Equation 1:
– 2x + 6y = – 30
– 2x + 6(2x – 10) = – 30
Distribute 6 into the parenthesis:
– 2x + 12x – 60 = – 30
Combine like terms:
10x – 60 = – 30
Add 60 to both sides:
10x – 60 + 60 = – 30 + 60
10x = 30
[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]
x = 3
Substitute the value of x into Equation 2 to solve for y:
y – 2x = –10
y – 2(3) = –10
y – 6 = –10
y – 6 + 6 = –10 + 6
y = – 4
Solution of the given systems of linear equations:Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).
Related Questions
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8(x+3)²/2(x + 3)
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Answer:
4x+12
Step-by-step explanation:
4(x+3)²/x+3=4x+12
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(32)2
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(28) 2
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Rewrite 4/8 : 1/4 as a unit rate pls help
Answers
the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also
2:1
the quotient of a number and 4 is at most 5.
Answers
Answer:
The equation would be x ÷ 4 ≤ 5
If 3 cans of beans cost 90¢, how many can you buy for $2.70?
If you can buy 10 juice packs for $3.00, how much will you spend to buy 4 juice packs?
please answer asap
Answers
Answer:
Step-by-step explanation:
1. 3 cans cost 90 cents
3=0.90 & x=2.7
by ratio:
3/0.9 = x/2.7
0.9x=8.1
x= 9
So you can buy 9 cans for 2.7 dollars
2. 10 Juice cost 3 dollars
by ratio:
10/3 = 4/x
10x=12
x=1.2
so you will spend 1.2 dollars to buy 4 juice packs
please help me I have no idea what I'm doing :(
Answers
Answer: A. 100%
Step-by-step explanation:
Jose has scored 854 points on his math tests so far this semester. To get an A for the semester, he must score at least 876 points.
Answers
Answer:
It is 22
Step-by-step explanation:
Simplify the expression
x - (-2x + 4)
Answers
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answers
Answer:
It's probably B
Step-by-step explanation:
what is it and why? having a good explanation would really help me. thx <3
Answers
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 :)
In the figure below, m∠1 = x and m∠2 = x - 4. Which statement could be used to prove that x = 47?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
Answers
The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
How do I write two time the quotient of a number and two
Answers
Answer:
2(quotient of x) + 2..............
PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices
Answers
Answer:
So here is the answer to your question by using the formulae of compound amount.
Initial price( P) = $5000
Interest rate( R) = 2% pa
Time ( T) = 30 years
Compound amount (CA)=?
We have
CA=P(1+R/100)^T
=5000(1+2/100)^30
=$9056.807921
=$9057(Approx)
Thus, the money will be $9057 after 30 years.
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answers
Answer:
Step-by-step explanation:
a1 = 2
d = 7
n = 13
I take it you want the 13th term.
t_13 = a1 + (n - 1) * d
t_13 = 3 + (13 - 1) * 7
t_13 = 3 + 12*7
t_13 = 3 + 84
t_13 = 87
Geometry - Isosceles & Equilateral Tirangles
Solve for x *
Answers
Answer:
x = 11
Step-by-step explanation:
Here, the two angles given are equal to each other. So, it is an isosceles triangle.Therefore, the sides opposite to the two angles are equal.Therefore,(x + 13) ft = 24 ft
or, x ft = 24 ft - 13 ft
or, x ft = 11 ft
or, x = 11
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Answer:
x = 11ftStep-by-step explanation:
Isosceles Triangle: A triangle with two equal sides. The angles opposite the equal sides are also equal.
so
(x + 13) = 24
x + 13 = 24
x = 24 - 13
x = 11
--------------------
check
11 + 13 = 24
24 = 24
the answer is good
MEDIUM) Ana gave Bill and Clare as much money as each had. Then Bill gave Ana and Clare as much money as each had. Then Clare gave Ana and Bill as much money as each had. Then each of the three people had $24. How much money did each have to begin with
Answers
Answer:
At the very end, the amounts of money are:
A -- 24
B -- 24
C -- 24
If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:
A -- 12 (24 minus 12)
B -- 12 (24 minus 12)
C -- 48 (24 plus 12 plus 12)
Before that, A and C got half of what they had above from B, so:
A -- 6 (12 minus 6)
B -- 42 (12 plus 6 plus 24)
C -- 24 (48 minus 24)
And initially, B and C got half of what they had above from A, so:
A -- 39 (6 plus 21 plus 12)
B -- 21 (42 minus 21)
C -- 12 (24 minus 12)
Step-by-step explanation:
Which set of equations has (3, 1)as its solution?
O A and B
O And D
O Band D
O A and D
Answers
Answer:
A and D is representing the solution.
Step-by-step explanation:
We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.
Hoped this helped.
[tex]GeniusUser[/tex]
Evaluate the expression if r = 2 and y = 3 3r2 + 2y
Answers
Step-by-step explanation:
please mark me as brainlest
Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answers
Hope this helped :)
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).
Are either of your answer extraneous yes or no. Justify your response
Answers
Answer:
x=8 and is not extraneous
Step-by-step explanation:
2(x-5)+11=17
2x-10+11=17
2x+1=17
2x=17-1
2x=16
x=8
extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation
2(8-5)+11=17
2(3)+11=17
6+11=17
17=17
since it works in the orignial equation it is not extraneous
The solution to the equation 2(x - 5) + 11 = 17 is x = 8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2(x - 5) + 11 = 17
When the like terms are evaluated, we have
2(x - 5) = 6
Divide through the equation by 2
x - 5 = 3
So, we have
x = 3 + 5
Evaluate
x = 8
Hence, the solution to the equation is x = 8
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Jeremiah is taking two of his friends out for pancakes. If he spends $17.55 on their meals and has $26 to spend in total, Jeremiah’s pancakes must cost no more than what amount?
Inequality Question
Answers
Answer:
$8.45
Step-by-step explanation:
if he has $26 to start and spends 17.55 on his friends, he has 8.45 leftover to spend on himself, but since he bought his friends pancakes for 17.55 their pancakes would have cost 8.775 each which suggests that Jeremiah likely cannot afford his own pancakes
Use the zero product property to find the solutions to the equation x2 â€"" 15x â€"" 100 = 0. X = â€""20 or x = 5 x = â€""20 or x = â€""5 x = â€""5 or x = 20 x = 5 or x = 20.
Answers
The values for [tex]x[/tex] are -5 and 20
Given to us:
[tex]x^2-15x-100=0[/tex]
In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.
for that you can take the LCM of 100 and check all factors of 100.
for example,
factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.
from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,
[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]
taking out common terms, we get
[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]
to find out the value of [tex]x[/tex] equating both the factors with 0, we get
[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]
Hence, the values for [tex]x[/tex] are -5 and 20
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Answer:
C or x=-5 or x=20
Step-by-step explanation:
brainlist
Which of the following situations could be modeled by an linear function?
Question 17 options:
The number of people in a stadium is decreasing at a rate of 45% every 10 minutes
The water level of a tank doubles every day
The population of a small town grows at a rate of 2.4% each year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year
Answers
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.
Hope this helps!
Answer: D
Step-by-step explanation:
I need help asap!!
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Similar triangles that have a scale ratio other than 1 are not congruent triangles.
The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]
The scale ratio is given as: 5 : 2
And the corresponding sides are given as:
AB and DE.BC and EF.CA and FD.The above highlights mean that,
[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]
Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]
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28 divided my someing =4
Answers
Question :- 28 divided my something =4
Answer:- let something be x
[tex] \frac{28}{x} = 4 \\ \frac{28}{4} = x \\ 7 = x \: \: ans[/tex]
Answer:
7
Step-by-step explanation:
28 divided by 7 would give you 4.
(It's easier to solve this problem if you count by 4's: 4, 18, 12, 16, 20, 24, 28)
hope this helped!
HELPPP EASY MATH IM IN 5 GRADE
Answers
Answer:
What's the question of the problem
Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 15 hours at the grocery store and 6 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?
Answers
Answer:
In total she works 21 hours and for the equation its gn=g+n
Step-by-step explanation:
got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works
the smallest number that is divisible by each one of 9,12 and 15 is
(a) 60. (b) 90. (c) 120 (d) 180
Answers
The easiest way to solve the question mathematically is to find the LCM of all the numbers.
And I personally will only just start from their 10th multiple
9 - 90, 99, 108 e.t.c
12 - 120, 132, 144 e.t.c
15 - 150, 165, 180 e.t.c
The end
What is the product?
Answers
it tells you the answer..
The product of matries [tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right][/tex] and [tex]\left[\begin{array}{c}-1\\-1\end{array}\right][/tex]is option c. [tex]\left[\begin{array}{c}-3\\4\end{array}\right].[/tex] By perform matrix multiplication of 2x2 matrix with 2x1 matrix.
Given the matrices:
[tex]A = \left[\begin{array}{cc}5&-2\\-6&5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]
To find the product, perform matrix multiplication.
Using the given matrices, the multiplication can be done as follows:
[tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right] \times \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]
Multiply each element in the corresponding row of the first matrix by the corresponding column of the second matrix and summing the products.
[tex]=\left[\begin{array}{cc}(5\times-1)+(-2\times-1)\\(-6\times-1)+(2\times-1)\end{array}\right][/tex]
On multiplying the term in brackets gives:
[tex]=\left[\begin{array}{cc}-5+2\\6-2\end{array}\right][/tex]
On performing the algebraic sum gives:
[tex]=\left[\begin{array}{cc}-3\\4\end{array}\right][/tex]
Therefore, the product of the matrices is [tex]\left[\begin{array}{cc}-3\\4\end{array}\right].[/tex]
Matrix multiplication is an important operation in linear algebra and has applications in various fields, including physics, computer science, and engineering.
It allows us to perform transformations, solve systems of equations, and represent linear relationships between variables.
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