[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
Help please 20 points for anyone
Answer:
The answer is B!
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
C, the graph is increasing when x is between -1 and 2.
Step-by-step explanation:
When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.
hope this helps :)
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in the speech club All students in each grade Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points) a All teachers in the school b All boys in each grade c All students in the speech club d All students in each grade
Answer:
D, all the students in each grade
Step-by-step explanation:
Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.
C=3y
2
+4y+4
D=−7y
2
+3y−6
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also ask
Step-by-step explanation:
What is the complete factorization of the trinomial x^2-8x+16?
A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)
Answer:
A. (x-4)(x-4)
Step-by-step explanation:
Note that (x+a)(x+b)=x²+(a+b)x+ab.
Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.
Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).
We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.
So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).
I need this please help me
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
please help again once again 10 POINTS AND 15!
40 cubic units, just count them my guy
you got a chunk of 32 and a chunk that's 8
1. How many total students were surveyed?
2. Which of the following statements is NOT correct?
A. The median is likely to fall in the 5 – 9 interval.
B. More students read between 0 – 9 books than 10 - 24 books
C. The mode is 24 books.
D. The range of books read could be 24.
Answer:
A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter
Answer:
jngijmgjim
Step-by-step explanation:
gvnjv jg
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
What is the volume of the cylinder shown below? A. 12157 units B. 3617 units C. 647 units D. 152 T units
1215 Units 3
Answer:
D
Step-by-step explanation: the answer is D
(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
What is the least common multiple of 9 and 15?
Answer:
45
Step-by-step explanation:
Find prime factors
9 = 3 x 3
15 = 3 x 5
3 x 3 x 5 = 45
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]
3×1/6 Please please help
Answer:
3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2
Step-by-step explanation:
hope this helps!
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
yxu and tux are the alternate interior angles
Step-by-step explanation:
you just go across and then the other side
so pretty much mirroring it twice
Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).
What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.
Answer:
0.31 (31%)
Step-by-step explanation:
answer steps attached
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
Danny flips four well-balanced coins. What are the odds that two of the coins will land ‘heads’ up?
Answer:
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Four well-balanced coins.
This means that [tex]n = 4, p = 0.5[/tex]
What are the odds that two of the coins will land ‘heads’ up?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Find the general term of series 1/2-1+2-4+
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
y=3x+5
you have to graph it
What is the area of rectangle PQRS?
A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches
Answer:
D
Step-by-step explanation:
(4.5+3+2) x4.5 = 42.75
hope this helps
Answer:
D. 42.75 square inches
Step-by-step explanation:
Area = height x width
Height = 4.5 inches
Width = 3 + 4.5 + 2 = 9.5 inches
4.5 x 9.5 = 42.75 square inches
Please help me i have no clue what the answer is :?
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
WORTH A LOT OF POINTS. WILL GIVE BRAINLEIST THINGY TO WHOEVER SOLVES IT!
Answer:
the area of the small square 4c
the total area of the 4 triangles is 2ab
a^2+2ab+b^2 = a^2+2ab+b^2
subtracting gives 2ab from both sides gives us a^2+b^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:
Answer: 1.39(1.006)^t
Step-by-step explanation:
The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
What is a Function ?A statement that relates two unknown parameters such that one is dependent on the other is called a function.
It is given that
Initial population = 1.39 billion in 2013
Growth Rate = 0.6%
Let a represent the initial population
b is the growth rate
and 2 be the elapsed year from 2013
and let the population at any given year is P(t)
Then the equation formed is
P(t) = a * bⁿ
P(t) = 1.39 * ( 1.006)ⁿ
Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
To know more about Function
https://brainly.com/question/21145944
#SPJ2
5) True or False: Absolute Value can never be negative * O True False
Answer:
True
Step-by-step explanation:
Absolute value tells the distance a number is from 0.
[tex]|7|=7[/tex] because 7 is 7 units away from 0.
[tex]|-13|=13[/tex] because -13 is 13 units away from 0.
[tex]|0|=0[/tex] because 0 is 0 units away from 0
Absolute value always produces a number greater than or equal to 0, never negative.
in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.
35
since m and n are the midpoints of ab and ac resistively
then ,bc=2mn=16
since m and l are the midpoints of ba and bc respectively
then, ac =2mn =10
then,nc =1/2 × 10 =5
similary, mb=6
then ,perimeter=nc+mb+mn+bc=5+6+8+16=35
Find the length of AC using Pythagorean Theorem.
Answer:
23
Step-by-step explanation:
4. 2x2 + 4x + 10 = 0
Answer:
Step-by-step explanation:
This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.
a = 2
b = 4
c = 10
You could divide this equation by 2
a = 1
b = 2
c = 5
These three are smaller and easier to calculate. The answer will be the same.
x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)
x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1
x = (-2 +/- sqrt(4 - 20) ) / 2
X = (-2 +/- sqrt(-16) ) /2
x = (-2 +/- 4i ) / 2
x = ( - 1) +/- 2i
HELP 25 POINTS +BRAINIEST The weight of a substance measures 3 × 10^-3. grams. Express this weight in standard notation.
Answer:
Scientific notation is a way of writing very large and very small numbers.
A number in scientific notation has the form
N
×
10
a
, where
N
is a number between 1 and 10, and
a
is a positive or negative integer.
To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (
N
) and then record the exponent (
a
) as the number of places the decimal point was moved.
If you move the decimal to the right, the exponent is negative.
Express
0.000 000 03 g
in scientific notation.
Step 1. Move the decimal place to the right to create a new number between 1 and 10.
This gives
N
=
3
.
Step 2. Count the number of times you moved the decimal.
You moved the decimal 8 places to the right.
That means the exponent
a
=
-8
.
Step 3. Write the number in scientific notation.
0.000 000 03 g
=
3
×
10
-8
l
g
Step-by-step explanation: