The augmented matrix for the system of equations is given as follows:
[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]
What is a system of equations?A system of equations is when multiple variables are related, and equations are constructed to find the values of each variable. There are multiple ways to solve a system, and one of the most usual is in a matricial way, as the augmented matrix of the system is constructed.
In standard notation, the system is given by:
9x + 4y - 2z = 0.4x + 0y + 6z = -2.0x - 3y + 2z = 2.The augmented matrix for a system with variables x, y and z is constructed as follows:
The first column contains the coefficients of x.The second column contains the coefficients of y.The third column contains the coefficients of z.The fourth column contains the results of the operations.Hence for this system, the matrix is given by:
[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]
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Please help! will give brainliest
Anna spins the spinner below 30 times, and it lands on C8 times.
If you were to spin the spinner 1,000 times, about how many times would you expect it to land on C? Would you expect it to land on C exactly that many times?
Answer:
Step-by-step explanation:
Lands on C on 8 out of 30 times = 4/15= .26666 times
we expected to land on C using theoretical probability 1/5 =.2 times
for 1,000 times it will be expect to land on C, 200 times because,
1*200 = 200 C : 5*200 =1,000 spins
we do not expected to land on C exactly 200 times yet we expected something close to that 200 number.
Given f(x)=3x-1, solve for x when f(x)=-7.
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x - 1
f(x) = -7
Step 2: Solve for x
Substitute: -7 = 3x - 1Isolate x term: -6 = 3xIsolate x: -2 = xRewrite: x = -2Which two of the following numbers round to 36.2 if we're rounding to the nearest tenth?
Answer:
A + C
Step-by-step explanation:
You want to purchase a new bike that costs $142.68. To save for the bike, you mow your neighbor's yard for $40 each week. How much money will you have left over if you buy the bike after saving for 4 weeks?
$10.00
$15.67
$17.32
$35.67
need help pls answer
Answer:
Step-by-step explanation:
40 x 4 = 160
160 - 142.68 = 17.32
Answer:It will take 4 weeks and you will have 17.32$ left
Step-by-step explanation:Multiply 40x4= $160 and subtract $142.68-$160.00= $17.32
Write a linear equation that is perpendicular to y = -4x - 6 and passes through the point (4, 10).
Answer:
Y= 1/4x + 9
Step-by-step explanation:
I will give brainlist!!
Answer:
G. 60m
H. 7.5cm
Step-by-step explanation:
0.8 = [tex]\frac{8}{10}[/tex]
Perimeter of figure = (12 + 10 + 16 + 10) × [tex]\frac{10}{8}[/tex]
= 48 × [tex]\frac{10}{8}[/tex]
= 60m
1.5 feet --- 0.75cm
15 feet --- [tex]\frac{15}{1.5}[/tex] × 0.75cm = 7.5cm
Answer:
Step-by-step explanation:
BC= 9.6
CD=8
BA=8
AD= 12.8
New perimeter is 38.4
And the statue is 7.5 cm tall
The probability distribution shows the results of a survey of people’s fear of flying on an airplane. Find the probability that a person has never flown given that he/she is a person who is afraid of flying. Round to the nearest thousandth. History of Flying Survey Have Flown Before Have Not Flown Before Totals Afraid to Fly 0.01 0.07 0.08 Not Afraid to Fly 0.79 0.13 0.92 Totals 0.8 0.2 1
The probability that a person has never flown given that he/she is a person who is afraid of flying is 0.875
How to find the probability that a person has never flown given that he/she is a person who is afraid of flying?The table of values is given as
Flown Before Not Flown Before Totals
Afraid to Fly 0.01 0.07 0.08
Not Afraid to Fly 0.79 0.13 0.92
Totals 0.8 0.2 1
The probability that a person has never flown given that he/she is a person who is afraid of flying is calculated as
P = P(Afraid of flying and Never flown before)/P(Never flown before)
This gives
P = 0.07/0.08
Evaluate
P = 0.875
Hence, the probability that a person has never flown given that he/she is a person who is afraid of flying is 0.875
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PLEASE HELP!!!!
5. What is the domain and range of your entire roller coaster? (HINT: use compound
inequalities)
Domain:
Range:
Answer:How to find the domain of a function?
Write the problem. ...
Set the terms inside the radicand to be greater than or equal to 0. You cannot take the square root of a negative...
Isolate the variable. ...
State the domain correctly. ...
Find the domain of a function with a square root when there are multiple solutions. Let's say you're working with the...
Step-by-step explanation:
Distance (m)
20
10
Moving Objects
A
B
10
Time (s)
20
5. The graph shows two objects moving at
a constant speed. Use the graph to
compare the unit rates. (1 pt)
Answer:
you should draw that couse i experience like that to
maybe can help
PLEASE SOLV EI HAVE LIMITED TIME PLS PLS PLS
Answer:
D. Subtract 7
Step-by-step explanation:
[tex]\frac{x}{-4} + 7 = 1[/tex]
[tex]\frac{x}{-4} = 1 - 7[/tex]
[tex]\frac{x}{-4} = 6[/tex]
[tex]x = (-4) \cdot 6[/tex]
[tex]x = -24[/tex]
Calculate the missing terms of each arithmetic sequence given below. Each row represents an arithmetic sequence in which the first and the last term are given. First term -20 54 10 Second tern Third term Fourth term 19 105 -14
Answer:
Step-by-step explanation:
Jacob and 6 of his friends went out to eat. They decided to split the bill evenly. Each person paid $14.93. What was the total bill?
Answer:
$104.51
Step-by-step explanation:
No.of people = 7
How much each person paid = $14.93
How much is the total bill = $14.93 x 7
= $104.51
I was bored so I added the steps lol
i was gone most of this school week and now i’m behind :( can you please help me out
You need to draw up a floor plan of your kitchen so that you can complete a
remodel. The kitchen is 25 ft by 15 feet. You kid sister says that your scale drawing
should be 10 inches by 5 inches. You think she is incorrect. Explain why and give a
better set of measurements for the scale drawing.
please give me the answer and explain it so i can understand it i would greatly appreciate it i turned this up to 35 pts :(
Answer:
first, not much up because the room is by feat, and hers is by inches, I don't really know the rest
.
5. The diameter of a cylinder is 18.5cm and length is 6.1m. Find the surface area of
the curved surface.
Math help pls!!!!!!!!!!!!!!!!!!!!!!!
Answer:
You got this. The answer is pretty obvious just use what you see on the graph, and think about what the question is asking. If still confused lmk, and i will answer it in the comments
Step-by-step explanation:
Answer:
Pam.
Step-by-step explanation:
You can conclude from the graph that Pam is driving faster because she drove 150 miles in three hours, while Jim drove 150 miles in 5.
PLEASE HURRY
The length of the base of an isosceles triangle is x. The length of a leg is 5x - 6. The perimeter of the triangle is 54. Find x.
X
Write y+4=−1/2(x−2) in slope intercept form .
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + 4 = - [tex]\frac{1}{2}[/tex] (x - 2) ← distribute
y + 4 = - [tex]\frac{1}{2}[/tex] x + 1 ( subtract 4 from both sides )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)
Answer:
y=-3x-9
Step-by-step explanation:
Which function has an inverse that is also a function?
o f(x) = 4x + 7
Oh (2) = 17
O j(x) = 3cº
O g(x) = 2 – 3
Answer:
G(x) = 2x - 3 has a linear inverse which is a function.
k(x) = -9x2 has a square root inverse that is a function on only the interval x < 0.
Step-by-step explanation:
The inverse of a function is a reflection across the y=x line. This results in switching the values of the input and output or (x,y) points to become (y,x). This can be done algebraically in an equation as well. Begin by switching the x and y in the equation then solve for y.
x = 2y - 3 -------> y = x/2 + 3/2 is linear and a function.
-9y2 = x --------> y = √(-x/9) is a square root that is a function on only the interval x < 0.
Absolute value does not have an inverse function.
x = -20 is a vertical line which is not a function.
Brainliest please?
what equation would i use to find 5/9 of 39.6?
Answer:
( 39.6 * 5 ) / 9
Step-by-step explanation:
( 39.6 * 5 ) / 9 Equation
( 198 ) / 9 Done operation in brackets
22 Removed parenthesis
what are the the constant term, variable term, coefficient terms of that equations? I NEED HELP!!!!
SOMEONE PLEASE HELP ITS WORTH 30 POINTS
Solving the Question
We're given the following expression:
[tex]-4.9t^2+22t+1.8[/tex]
First, let's define the different types of terms in an expression.
Constant term - an expression that does not contain any variables (ex. 5, 14²)Variable term - an expression that contains at least one variable (ex. 8x, 9x³)Coefficient term - the number that is multiplying the variable in a variable term (ex. in the term 9x³, 9 is the coefficient term)Let's look at the given equation again:
[tex]-4.9t^2+22t+1.8[/tex]
Knowing what the different types of terms are, we can identify them in this expression:
Constant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 22AnswerConstant terms: 1.8Variable terms: -4.9t², 22tCoefficient terms: -4.9, 22Ms. Graves gave her class 12 minutes to read. Carrie read 5\frac{1}{2} pages in that time. At what rate, in pages per hour, did Carrie read?
Answer: 27 1/2 pages per hour
Step-by-step explanation:
if Carrie reads
12 min ........................5 1/2 pages
60 min........................5*(5 1/2) pages=27 1/2 pages
The ratio of dogs to cats at the SPCA is 3:2. If there are 48 cats, how many dogs are there?
Answer:
72 dogs
Step-by-step explanation:
3 dogs/2 cats = x dogs/48 cats
Cross Multiply
3/2 x x/48
2x=144
x=72
Answer:
72 dogs
Step-by-step explanation:
First turn 3:2 into a fraction:
3/2
Then you can make the equation a proportion question, which is much eaiser to handle.
3/2=x/48 (I recommend writing this out so it will be easier to see)
Then you cross multiply, or multiply by the numerator of the first fraction by the denominator of the second, and the denominator of the first fraction by the numerator of the second.
Multiply 2 by x, which becomes 2x.
Multiply 3 by 48, which is 144
This becomes... 2x=144
You then solve with equation by dividing 144/2 and getting 72.
Meaning x=72 dogs
This equation shows how the number of pies Wyatt can bake is related to the number of additional cups of sugar he buys. p=s + 93 The variable s represents the number of additional cups of sugar Wyatt buys, and the variable p represents the total number of pies he can bake. How many additional cups of sugar does Wyatt need in order to bake a total of 95 pies? additional cups of sugar
Answer:
2
Step-by-step explanation:
What does 2/3 + 7/8 equal
Answer: 1 13/24
Step-by-step explanation:
We need to convert 2/3 and 7/8 to have a common denominator. They both have a common denominator of 24 so...
We convert:
2/3 x 8/8=16/24
7/8 x 3/3 = 21/24
Then we add:
16/24 + 21/24 =37/21
Then we convert to a mixed number:
37/24= 1 13/24
Line p has an equation of y=8/3x+2. Line q, which is parallel to p, includes the point (-2,-5). What is the equation of line q?
Answer:
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{8}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{8}{3}[/tex]
Parallel lines have equal slopes , thus
y = [tex]\frac{8}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 5) into the partial equation
- 5 = - [tex]\frac{16}{3}[/tex] + c ⇒ c = - 5 + [tex]\frac{16}{3}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← equation of parallel line
−7x+5+2x−9=11
what is x?
Answer:
-3
Step-by-step explanation:
Given the quadratic equation: f(x) = x2+4x-21
Using the factored form/intercept form, find the x-intercepts.
PLEASE HURRY
Answer:
x = - 7, x = 3
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² + 4x - 21 = 0
Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)
The factors are + 7 and - 3, since
7 × - 3 = - 21 and 7 - 3 = + 4, then
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 3 = 0 ⇒ x = 3
Bob buys lunch at Chick Fil A for his friends on Tuesday. He buys 9 sandwiches and 5 drinks
and pays $44 total. Ben buys lunch on Friday and pays $70 for 15 sandwiches and 7 drinks.
What is the price for a sandwich and what is the price for a drink?
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Create a system of equations where s is the price of a sandwich and d is the price of a drink:
9s + 5d = 44
15s + 7d = 70
Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:
63s + 35d = 308
-75s - 35d = -350
Add them together:
-12s = -42
s = 3.5
Then, plug in 3.5 as s into one of the equations to solve for d:
9s + 5d = 44
9(3.5) + 5d = 44
31.5 + 5d = 44
5d = 12.5
d = 2.5
So, a sandwich is $3.50 and the price of a drink is $2.50
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Plz mark as brainliest it would be helpful
An SRS of size 100 is taken from a population having proportion 0.7 successes. An independent SRS of size 200 is taken from a population having proportion 0.3 successes. The sampling distribution for the difference in sample proportions has what standard deviation?
Answer:
μ = 0.4
Standard deviation σ = 0.0512 (Approx)
Step-by-step explanation:
Given:
Sample size n1 = 100
Sample size n2 = 200
Proportion p1 = 0.7
Proportion p2 = 0.3
Find:
Standard deviation σ
Computation:
μ = p2 - p1
μ = 0.7 - 0.3
μ = 0.4
Standard deviation σ = √p1(1-p1)/n1 + p2(1-p2)/n2
Standard deviation σ = √0.7(1-0.7)/100 + 0.3(1-0.3)/400
Standard deviation σ = √0.0021 + 0.000525
Standard deviation σ = √0.002625
Standard deviation σ = 0.0512 (Approx)