[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.
Please help, test due in 2 hours! Will give good review and brainliest.
Answer:
B. Ellipse
...............................................
What’s the area of the figure?
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
PLEASE HELP FAST I WILL GIVE YOU BRAINLIEST
AABC - AQRS
Find the missing side length, n.
R
B.
12.5
5
2
А-
-C
4
10
n = [?]
Enter
Answer:
5
Step-by-step explanation:
yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5
Look at the two quadrilaterals shown below.
Which one of the following statements about these quadrilaterals Is FALSE?
Both quadrilaterals have four equal angles.
Both quadrilaterals have four equal sides.
Both quadrilaterals have opposite parallel sides.
Both quadrilaterals have four right angles. The two shapes are a square and a rectangle
Answer:
"Both quadrilaterals have four equal sides."
Step-by-step explanation:
This statement is only true for a square since as we all know it has four equal sides, but a rectangle has two parallel sides that are equal to each other but on the other two parallel sides, they must differ in length.
Answer:
"Both quadrilaterals have four equal sides." is the false statement
Step-by-step explanation:
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
Simplify 1/4^-2 x 1/4^-7
look at pic 10 pts will mark brainilest
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
giving brainliest!! *easy*
Answer:
370 square millimeters
Step-by-step explanation:
2x9x5=90
2x10x5=100
2x10x9=180
90+100+180=370 square millimeters
Answer
450mm^3
Step-by-step explanation:
the picture has the workings
A=l×w×h
A=10mm×9mm×5mm
A=450mm^3
PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x + 8
-36x-9
-36x +9
Answer:
Last one, -36x+9.
Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.
Find the area of the triangle
Answer:
The answer to this problem is 12.5.
Step-by-step explanation:
The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).
Since this is a equilateral triangle, all of the sides are equivalent to each other. Since we know one of the sides is 5, all of the sides are 5.
5 * 5 = 25
Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.
25 / 2 = 12.5
The answer is 12.5.
Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!
Just sayin, that would be pretty great.
Which graph represents a direct variation?
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.
Answer:
Step-by-step explanation:
A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.
From the given information:
Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.
From the image below, we represent:
P =students that played Paino
G = students that played guitar
F = students that played flute
P = 50
G = 68
F = 59
(PUG) -35
(PUF) = 59
(GUF) = 40
since the value of (PUGUF) is not given, we represent it with x.
See the attached image below for diagrammatic representation of the Venn diagram.
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Will give brainliest for correct answer
Answer:
a and c
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?
The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.
Answer:
As long as the population distribution consists only of positive values, sample size does not matter.
Step-by-step explanation:
As long as the population distribution consists only of positive values, sample size does not matter.
This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
REAL LIFE ISSUE!
HELP PLEASE I NEED TO KNOW IF IM GOING TO BE HELD BACK!!!
What grade point average would I have if I had 3 A's, 1 B, 1 D, and 1 F.
Answer:
You are doing good I would say! Your average grade would be a B- Or just a normal B Somewhat around there.
Step-by-step explanation:
I hope this helps you and good luck! Bye!
Grade scale:
A → 100-90
B → 89-80
C → 79-70
D → 70
F <70
That being said to see your grade, add all your grades up then divide it by how many grades you have.
That being said, if you add all your grades then divide it by how many grades you have, you should have a 85.6 as your average.
Hence, your average is a B.
y divided by the product of 3 and x
Answer: y/3x
Step-by-step explanation: 3 times x is 3x, so y/3x
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
find the value of x
please
Answer:
x = 51
Step-by-step explanation:
These angles equal each other because they're vertical angles so:
2x + 8 = 110
2x = 110 - 8
2x = 102
x = 51
=[tex]\frac{mv^{2} }{2}[/tex] ; Solve for v.
Answer:
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
Step-by-step explanation:
[tex]E=\frac{mv^2}{2}[/tex]
[tex]2E=mv^2}[/tex]
[tex]v^2=\frac{2E}{m}[/tex]
[tex]v=\sqrt{\frac{2E}{m} }[/tex]
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
la expecion del volumen
Answer:
no hay imagen lo siento
Step-by-step explanation: