Answers
Hello!
Let's write this system below:
\(\begin{cases}x-3y=-7\text{ eq i)} \\ 3x+y=-1\text{ eq ii)}\end{cases}\)Notice that I divided it into two equations, i) and ii).
The first step: let's isolate one of the variables.I'll isolate the variable X in equation i), look:
\(\begin{gathered} x-3y=-7 \\ x=-7+3y \end{gathered}\)From now on, we will use this value when referring to X.
Second step: in the other equation, we will replace the variable with the obtained value.So, let's replace where's X in equation ii) by (-7 +3y):
\(\begin{gathered} 3x+y=-1 \\ 3\cdot(-7+3y)+y=-1 \\ -21+9y+y=-1 \\ -21+10y=-1 \\ 10y=-1+21 \\ 10y=20 \\ y=\frac{20}{10} \\ \\ y=2 \end{gathered}\)
At this moment we know the value of the variable Y as 2. So, we can choose any of the equations and replace this value.
Let's replace Y in the first equation now:
\(\begin{gathered} x-3y=-7 \\ x-3\cdot(2)=-7 \\ x-6=-7 \\ x=-7+6 \\ x=-1 \end{gathered}\)So, the solution of this system is x = -1 and y = 2.
Answer:
(-1, 2)
Step-by-step explanation:
x-3y = -7
3x+y = -1 <===== multiply this equation by 3 to get
9x + 3y = -3 <=====add this to first equation ( this will eliminate 'x')
10x = -10 so x = -1
use this value of 'x 'in any of the equations to compute 'y'
-1 -3y = -7
-3y = -6
y = 2
Related Questions
For the equation y=5x+4, determine the value of y when x=-2
Answers
By evaluating the expression in x = -2, we will see that y takes the value y = -6.
How to determine the value of y when x = -2?Here we have an algebraic expression:
y = 5x + 4
That relates two variables, x and y.
Now we want to evaluate this expression in x = -2, this means replacing the variable x by the number -2, and doing that we can see the value of y associated to x = -2
We will get:
y = 5*(-2) + 4
y = -10 + 4
y = -6
Learn more about evaluating expressions:
https://brainly.com/question/4344214
#SPJ1
Find the slope of the line that passes through each pair of points.
5. G(–3, 2), H(7, 2)
Answers
Answer:
y=0x+2 meaning the slope is equal to 0
Step-by-step explanation:
If you think about this question you'll see that our two points have the same y coordinate
This means that the slope is equal to 0
so we have
y=0x+b
If we plug in -3 for x and set the equation equal to 2 we can find b
0+b=2
b=2
so we have
0x+b=y
What is th square root of 45, trying to figure it out on my calculstor but I cant find the sqaure root sign
Answers
Use long division to find the quotient below.
(5x5 + 90x² - 135x) + (x+3)
O A. 5x -5x³ + 25x² - 45x
OB. 5x4-15x³ + 45x² - 45x
O C. 5x + 5x³-25x² - 45x
○ D. 5x¹ + 15x³ - 45x² - 45x
Answers
Use long division to the quotient is \(5 x^5+90 x^2-134 x+3\)
What is quotient?
A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.
\(\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}\)
\(Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$\)
\(=5 x^5+90 x^2-135 x+x+3\)
\(Add similar elements: $-135 x+x=-134 x$\)
\(=5 x^5+90 x^2-134 x+3\)
To learn more about quotient visit
https://brainly.com/question/16134410
#SPJ1
I need help with these questions if your able to help tysm :)
Answers
Answer:
Step-by-step explanation:
ChEeck the picture attached for both the answers with complete steps.
Hope it helps ❤️
Tracy's class just held a class election. 25% of the 20 students in the class voted. How many students voted?
Answers
The number of students that voted is given as follows:
5 students.
How to obtain the number of students that voted?The number of students that voted is obtained applying the proportions in the context of this problem, multiplying the total number of students by the decimal equivalent of the percentage.
The total number of students is given as follows:
20 students.
The decimal equivalent of the percentage is given as follows:
25/100 = 0.25.
Hence the number of students that voted is given as follows:
0.25 x 20 = 20/4 = 5 students.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
kelly is admiring a statue in lexington park from 3 meters away. if the distance between the top of the statue to kelly's head is 5 meters, how much taller is the statue than kelly?
Answers
The statue is 2 meters taller than Kelly. Given that Kelly is 3 meters away from the statue and the distance between the top of the statue and Kelly's head is 5 meters, we can determine the height difference between them.
Since the distance from Kelly to the statue is 3 meters and the distance from the top of the statue to Kelly's head is 5 meters, we can subtract the distance from Kelly's head to the ground (which is assumed to be negligible) to find the height of the statue.
Therefore, the statue is 5 meters tall, while Kelly's height is 3 meters. The height difference between the statue and Kelly is 5 - 3 = 2 meters. Thus, the statue is 2 meters taller than Kelly.
To know more about meters click here: brainly.com/question/372485
#SPJ11
Thurman put $90 into a CD that pays 4.4% interest. According to the rule of
72, approximately how long will it take for his money to double?
Answers
Answer:
B-16.4 years
Step-by-step explanation:
0.7 as 1 minute
And is it okey if you could tell me how you did it?
Answers
Answer:
Hello There!!
Step-by-step explanation:
You multiply 0.7 by 60 which is 42 seconds.
hope this helps,have a great day!!
~Pinky~
5(x+6)+3x=2(1+4x)+1
I need help solving for x (9th grade pre ap algebra)
Answers
Answer:
-29
Step-by-step explanation:
5x +30 +3x =2+8x+1
x= -29
match the equation below
Answers
what type of parameter requires that the argument used to call the method must have an assigned value?
Answers
A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.
The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".
Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.
In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.
In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.
Learn more about programming languages here:
https://brainly.com/question/22695184
#SPJ4
The pair figures are similar.find the missing side
Answers
Answer:
C. x=3
Step-by-step explanation:
Because the sides are proportionate to each other
Side 3 is 3x the length of Side 1
Therefore,
Side 9 is also 3x the length of side X
3x=9
Divide both by 3
and X will be 3.
Complete the table of function values. Do not use a calculator or tables. Evaluate the six trigonometric functions for each value of θ. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the exp )
θ sinθ cosθ tanθ cotθ secθ cscθ
-3π/4 __ ___ ___ ___ ___ ___ -π/4 __ ___ ___ ___ ___ ___ 0 __ ___ ___ ___ ___ ___ π/2 __ ___ ___ ___ ___ ___ 3π/4 __ ___ ___ ___ ___ ___
Answers
The values of θ given are -3π/4, -π/4, 0, π/2, and 3π/4. By applying the definitions and properties of the trigonometric functions, we can determine the corresponding values for sinθ, cosθ, tanθ, cotθ, secθ, and cscθ.
Let's evaluate the trigonometric functions for each given value of θ:
For θ = -3π/4:
sin(-3π/4) = -√2/2
cos(-3π/4) = -√2/2
tan(-3π/4) = 1
cot(-3π/4) = 1
sec(-3π/4) = -√2
csc(-3π/4) = -√2
For θ = -π/4:
sin(-π/4) = -√2/2
cos(-π/4) = √2/2
tan(-π/4) = -1
cot(-π/4) = -1
sec(-π/4) = √2
csc(-π/4) = -√2
For θ = 0:
sin(0) = 0
cos(0) = 1
tan(0) = 0
cot(0) = undefined
sec(0) = 1
csc(0) = undefined
For θ = π/2:
sin(π/2) = 1
cos(π/2) = 0
tan(π/2) = undefined
cot(π/2) = 0
sec(π/2) = undefined
csc(π/2) = 1
For θ = 3π/4:
sin(3π/4) = √2/2
cos(3π/4) = -√2/2
tan(3π/4) = -1
cot(3π/4) = -1
sec(3π/4) = -√2
csc(3π/4) = √2
By evaluating the trigonometric functions for each value of θ, we obtain the values needed to complete the table.
To learn more about trigonometric functions here brainly.com/question/29090818
#SPJ11
In a drawer, there are 11 pairs of socks, 6 of which are white, and 8 t-shirts, 7 of which are white. If you randomly select one pair of socks and one t-shirt, what is the probability that both are white
Answers
The probability of both the socks and the t-shirt being white is 21/44.
The probability of selecting a white pair of socks from the drawer is 6/11. The probability of selecting a white t-shirt from the drawer is 7/8. To find the probability of both events occurring together, we multiply the two probabilities:
P(white socks and white t-shirt) = (6/11) * (7/8) = 0.4773
Therefore, the probability of randomly selecting one pair of white socks and one white t-shirt from the drawer is approximately 0.4773 or 47.73%.
Hi there! To find the probability that both the socks and the t-shirt you randomly select are white, you'll need to multiply the individual probabilities for each item being white.
For the socks, there are 6 white pairs out of a total of 11 pairs. So, the probability of selecting a white pair is 6/11.
For the t-shirts, there are 7 white ones out of a total of 8. So, the probability of selecting a white t-shirt is 7/8.
Now, multiply these probabilities together: (6/11) * (7/8) = 42/88. Simplify the fraction to get 21/44.
So, the probability of both the socks and the t-shirt being white is 21/44.
Learn more about probability here
https://brainly.com/question/24756209
#SPJ11
a triangle has 2 side lenghts 5 and 12. what could the third side length be
Answers
Answer:
13
Step-by-step explanation:
Square both of them, add them together and square root the answer
Answer:
7 < x < 17
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of sides < x < sum of sides , then
12 - 5 < x < 12 + 5 , that is
7 < x < 17
The 3rd side could be 8, 9, 10, 11, 12, 13, 14, 15, 16
Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy.
Write an expression to represent the age of Randy’s brother.
Answers
Step-by-step explanation:
Randy is 8 years old. His brother is twice as old as Randy. Randy’s sister is three years younger than Randy. Write an expression to represent the age of Randy’s brother.
Randy = R = 8 years
Brother = B
B = 2R
solving:
B = 2R when R = 8
B = 2(8)
B = 16 years old
Answer: Its 16
Step-by-step explanation:
You need to take randy's age twice so you need to calculate 8x2= 16.
IM 7.1.10 Cool Down
The grey box is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Create another scale drawing of the window frame that uses a scale of 1 cm to 12 inches
(You may draw on or over the original frame if needed.)
x Clear
Undo
Redo
+
Answers
Answer:
Calculating the Actual Distance using the Scale
If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
Step-by-step explanation:
I need help graphing -4x + 12y = -24 I'm lazy so I don't want to do it by myself
Answers
Answer:
Check out the graph
What are mathematical formulas placed in software that performs an analysis on a dataset?
Answers
Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
What is an algorithm?An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.
Now,
The mathematical formulae are placed in a software for analysis in order to obtain results.For this process, an algorithm is followed, with the help of which, the results are derived and obtained.Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
To learn more about algorithms, refer to the link: https://brainly.com/question/11302120
#SPJ4
pelcentile a cumulative frequency curve; the value that would be sampled 95 out of 100 times a frequency polygon; the value in the dataset that is most likely to occur question 9 choose the best answer. which would be a uniform probability distribution? the probability of reaching a temperature of 75f on any given day of the year in st. louis, mo a time period in which it rained 25% of the time and did not rain 75% of the time the probabilities of drawing any individual card in a deck with one draw flipping a coin two times and recording whether heads or tails
Answers
As per the given options, the uniform probability distribution can be defined as the probabilities of drawing any individual card in a deck with one draw.
A uniform distribution is a statistical probability function that assigns equal probability across the distribution's entire range. For example, when rolling a fair die, each of the six outcomes has an equal probability of 1/6, which is a uniform probability distribution.
The formula for a Uniform Distribution.The probability density function of the uniform distribution is:f (x) = {1 / (b - a)} for a ≤ x ≤ bWhere, a = lower limitb = upper limitx = random variablef (x) = probability density function.
Learn more about uniform probability distribution:https://brainly.com/question/30026425
#SPJ11
investment of $2,000 at 10% simple interest for 3 years
Answers
Simple Interest = (P × r × t) / 100
Where:
P = Principal amount
r = Rate of interest per year
t = Time period in years
Given,
P = $2,000
r = 10%
t = 3 years
Substituting the values in the formula, we get:
Simple Interest = (2,000 × 10 × 3) / 100
Simple Interest = $600
Therefore, the simple interest earned on the investment of $2,000 at 10% for 3 years is $600. The total amount at the end of 3 years would be $2,600 (principal + simple interest).
If you could have one superpower, what would it be and why?
Answers
Answer:
I would have to reverse time
Step-by-step explanation:
so I can see my grandma that had passed away 2 days ago :C
Answer:I would want to be able to move things with my hands.
Step-by-step explanation:
HELP me please I need some help on math I ain’t good at it at all
Answers
Answer:
y = 3
Step-by-step explanation:
3(2y-3) = -4y+21
6y-9 = -4y+21
10y-9 = 21
10y = 30
10y/10 = 30/10
y = 3
Check these answers?
Answers
1. The width is 7 1/9 feet
2. The number of containers is 10 9/16 containers
3. The length is 15/8 miles
4. 15/184 servings
How to determine the valueThe formula for determining the area of a rectangle is expressed as;
A = lw
Given that the parameters are;
A is the area of the rectangle.l is the length.w is the width of the rectangle.We have that;
1. Substitute the values
32 = 9/2w
Make the width subject of formula
32× 2/9 = w
Multiply the values
w = 64/9 = 7 1/9 feet
2. To determine the value, we have;
Area = 13/2 × 13/8
Multiply the values
Area = 169/16
Divide the values
Area = 10 9/16 containers
3. The area is 15/56
Width = 1/7
Then
Length = area/width
Length = 15/56 × 7/1
Multiply the values
Length = 15/8 miles
4. We have that;
1 serving = 5/4
then x = 46/3
cross multiply the values
x = 5/4 × 3/46
Multiply the values
x = 15/184 servings
Learn more about rectangles at: https://brainly.com/question/2607596
#SPJ1
Please answer this math question for me
Answers
Answer:
angle D is 90⁰
E is 66⁰
and F is 114⁰
Answer:
e is 66 f is 114 and d is 90
Step-by-step explanation:
I hope all is well
the product of two rational numbers is
rational
irrational
Answers
Answer:
Rational.
Step-by-step explanation:
The product of two rational numbers is always rational. This means that if you multiply two numbers that can be made into a fraction, their product can also become a fraction.
~
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
Answers
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
I needdd helpp :)))))
Answers
please help, I suck at math and I cant play no games til I finish everything..sad.
Answers
Answer:
true;the expression s are the same for all values of the variables