Step-by-step explanation:
out of the first equation we get
x = 2y - 3z - 1
this we use in the second equation
-3(2y - 3z - 1) + 6y - 9z = 3
-6y + 9z + 3 + 6y - 9z = 3
0 = 0
this is the same equation as the first one, just multiplied by -3.
and we see the third equation is again the same one as the first just multiplied by 2.
so, there are infinite solutions.
this has not a single solution, as in the end this is just one equation with 3 variables.
1)Find the quadratic equation
3(3x [tex] {}^{2} [/tex]+ 1)=12x
2)Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex]
Step-by-step explanation:
"find" ?
the equations are already there.
do you mean solve in the sense of finding the zero points of the equations ?
if so,
the general solution of a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
3(3x² + 1) = 12x
9x² + 3 = 12 x
9x² - 12x + 3 = 0
a = 9
b = -12
c = 3
x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =
= (12 ± sqrt(36))/18 = (12 ± 6)/18
x1 = (12 + 6) / 18 = 18/18 = 1
x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...
9y² - 12y - 14 = 0
same thing, we just use y instead of x.
a = 9
b = -12
c = -14
y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =
= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =
= (12 ± 18×sqrt(2))/18
y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =
= 0.942809042...
y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =
= -0.747546896...
what is the answer. help
Answer: 230
Step-by-step explanation:
Answer:
230.582
Step-by-step explanation:
math, sorry if its wrong im not good with math
If A= (-4 -1 -9) (-9 6 9) (-1 -1 3) and B= (-10 -7 -5) (9 -7 -1) (9 -4 2), find 6A - 8B
What are the coordinates of the image of vertex D after
a reflection across the x axis?
Answer:
6. Which displays the properties of the selected object?
a) Timeline
b) Property Inspector Box
c) Tools Panel
d) Stage
7. What is the extension of the Animate CC file ?
a) .mp3
b) .fls
c) .xls
d) .fla
8. This is a list of clear instructions for solving a problem.
a) Algorithm
b) Abstraction
c) Decomposition
d) Analysis
9. This is a diagrammatic representation of steps to solve a problem.
a) Looping
b) Flowlines
c) Flowchart
d) Algorithm
10. The ____ tool is used to draw star shapes.
a) Rectangle
b) Oval
c) Square
d) Polygon
14. There are 408 students at a school. There are 4 lunch periods. If there is the same number of students in each lunch period, how many students are in each period?
Answer:
There are 102 students in each period.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
Tennessee
Step-by-step explanation:
These 3 please!!! Properties of Kites and Trapzoids exercises 1-3
Answer:
area = 1/2(AC)(BD)yes; BE can be found using the Pythagorean theoremyesStep-by-step explanation:
1.Triangles ADB and CDB are congruent, so each is half the total area. The area of ADB is ...
A = 1/2bh
A = 1/2(DB)(1/2AC) = 1/4(DB)(AC)
The area of the kite is twice this value:
A = 1/2(DB)(AC)
__
2.In order to use the formula derived in part 1, we need to know the length of BE. That can be found using the Pythagorean theorem:
BE² +AE² = AB²
We know that AE = 1/2AC, so the desired dimension is ...
BE = √(AB² -(1/4)AC²)
Then the area of the kite is ...
area = 1/2(DB)(AC)
area = (1/2)(AC)(ED +√(AB² -(1/4)AC²)
__
3.Given three sides of a triangle, the area of it can be found using Heron's formula. If you have not yet seen that in your geometry class, you can always use the Pythagorean theorem and some algebra.
As before, we need to know the lengths of the diagonals. One is given. The other can be found considering the Pythagorean relations:
AD² = AE² +DE²
AB² = AE² +BE²
BE +DE = BD . . . . the sum of the horizontal diagonal lengths
Subtracting the second equation from the first gives ...
AD² -AB² = DE² -BE²
Using the third to write an expression for DE, we get an equation for BE:
AD² -AB² = (BD -BE)² -BE²
AD² -AB² = BD² -2BD·BE +BE² -BE²
(AB² +BD² -AD²)/(2BD) = BE
Substituting this into the original second equation, we can find AE, hence the area of the kite.
AE² = AB² -((AB² +BD² -AD²)/(2BD))²
Which means the kite area is ...
area = BD·AE = BD√(AB² -((AB² +BD² -AD²)/(2BD))²)
area = (1/2)√(4·AB²·BD² -(AB² +BD² -AD²)²
This area formula demonstrates it is possible to find the area of the kite given the three lengths AB, BD, DA.
_____
Additional comment
We have no doubt that the area formula of Part 3 can be rearranged to match Heron's formula. Here, we're interested in demonstrating area can be found.
Given the following data
Schools 2015-2016 2016-2017 2017-2018
AM 1,279 934 686
Dentistry 3,875 934 686
Dentistry 3,875 3459 2977
ELAMS 778 603 437
Med. Tech 2,244 1829 1259
Nursing 205 146 98
NHM 1,870 1321 846
Optometry 702 617 540
Pharmacy 2,336 1686 1075
Sci. Tech. 1,181 931 667
Grad. Sch. 493 601 599
TOTAL 14,963 12,127 9,184
Create visualizations using the appropriate charts to show the following:
1. the populations for the different schools for the year 2015-2016.
2. the proportion of the School of Nursing enrolment for the three school years.
To determine 1) the proportions of the populations for the different schools for the year 2015-2016, and 2) the proportion of the School of Nursing enrollment for the three school years, the following calculations must be made:
AM1,279/14,963 = 0.0854Dentistry 3,875/14,963 = 0.2589ELAMS 778/14,963 = 0.0519Med Tech 2,244/14,963 = 0.1499Nursing 205/14,963 = 0.0137NHM 1,870/14,963 = 0.1249Optometry 702/14,963 = 0.0469Pharmacy 2,336/14,963 = 0.1561Sci. Tech. 1,181/14,963 = 0.0789Grad.Sch. 493/14,963 = 0.0329146/12,127 = 0.012098/9,184 = 0.0106Therefore, 1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.
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Frank is on the swim team. Each week he swims a total of 6,000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer
Answer:
6 km
Step-by-step explanation:
1 meter = 1/1000 km
(1 meter = 1/1000 km) x 1000
1000 meters = 1 km
6000 meters = ?
1 x 6000m = 1000 x ?
6000 = 1000 x 6
6000/1000 = 1000 x 6/1000
6 = 6
Both sides divided by 1000 are 6, so the answer is 6 km.
estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit
I dont understand this question can i please get help?
Answer:
3x2+(24)(x-(17)
############
Evaluate the expression for y=-29
-42(y+31)=
Please!!!!
Answer:
[tex] \huge{ \boxed{ \tt - 84}}[/tex]
Step-by-step explanation:
[tex] \sf \rightarrowtail - 42(y + 31)[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrowtail - 42( - 29 + 31)[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrowtail - 42(2)[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrowtail - 42 \times 2[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \rightarrowtail - 84[/tex]
Graph the parabola.
y=3x²-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.
Answer:
Vertex: (0, -4)
Graph: I can't share a link so you can go to desmos and paste your equation
Step-by-step explanation:
the vertex is where the axis of symmetry meets with the parabola.
The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value
therefore,
y=3(0)^2-4
=-4
so the vertex is (0, -4)
to find the other points, list two x values larger than 0 and substitute into the equation to find y
list two x values smaller than 0 and substitute to find the points on the left of the vertex.
please help with step by step
Answer:
Alright breakdown
Step-by-step explanation:
#7. Constant of Proportionality.
divide the 276 by the 184: 276 / 184
which will give you an answer: 1.5
now, multiply 208 by 1.5: 312
Answer: YES
#8 same context, 300 / 425: 0.70
680 x 0.70 : 476
Answer NO
What s the value of h expression (2) 8
Answer:
the value of h is 16
(3x²+3x+5)+(7x²-9x=8)=10x²-12x=13
The value of x is equal to -5/6
To solve this question, we have to add two polynomials together. The polynomials are;
[tex]3x^2+3x+5[/tex][tex]7x^2-9x=8[/tex]Addition of PolynomialsThis involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.
In this given question, let's add the polynomials together.
[tex](3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3[/tex]
Now, let's equate this with the last polynomial given
[tex]10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10[/tex]
Let's solve for x
[tex]12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}[/tex]
The value of x is equal to -5/6
Learn more on addition of polynomials here;
https://brainly.com/question/4142886
Solve the simultaneous equations
x+3y=11. X+2y=9
Answer:
y=2, x=5
Step-by-step explanation:
we can subtract the system of equations to eliminate x and to find the value of 1 y
x+3y=11
minus
x+2y+9
=y=2, now we can replace the value y (2) into either equation to find the value of x
x+3(2)=11
x+6=11
x=5
Write a word problem that can be solved by dividing 6 by 5
Answer:
If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Step-by-step explanation:
given hypotenuse (H), find opposite (O) :
using sin ( SOH),
sin 45° = opp. / hyp.
sin 45° = x / 4√2
x = 4√2 × sin 45°
x = 4
hope this helps you!
-s.
Elsa currently has 375 g of sugar and then uses 7 ounces for baking a cake. How many grams (g) of sugar does she have left? 1 ounce = 28 g
Answer:
179g
Step-by-step explanation:
1ounce = 28g
7 ounces = 196g
375g - 196g
179g
The Gantry family has to pay the following bills for the month of June. Electricity $150, Gas $120, Groceries $530, Water $110, Phone and internet $70. What is the total amount the Gantry family needs to pay in bills for the month?
two cards are drawn from a shuffled deck of 52 cards. what is the probability that both cards are kings if the first card isn't replaced after it's drawn?
Answer
1/13 (non-simplified: 4/52)
Step-by-step explanation:
there are a total of 4 kings, and there is a 4 in 52 chance of drawing a king. that equates to 4/52 which simplifies to 1/13
please shoot a comment if you have an questions.
hope this helped, have a good day :)
Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
because the sample is
. In this instance, an
study was performed.
The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.
What is an experimental study?An experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.
In this case the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.
The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.
Learn more about experiment: https://brainly.com/question/9199868
PLS HELP
answer this quick questions please!!
1. c - (-3) = 15
2. (-7) + b = (-11)
3. d x (-4) = 32
Answer:
12, -4, -8
Step-by-step explanation:
1) c=12
c+3=15 subtract 3 from each side. c=12
2) b= -4
-7+b=-11 add 7 to each side. b = -4
3) d= -8
-4d=32 divide each side by negative 4. d = -8
a water tank has total capacity 1550 if 28% of the water got drained out how much water left the tank
Step-by-step explanation:
total capacity =1550l
water drained rate= 28%
amt of water drained =28% of 1550 =434l
now,
water left the tank =1550l-434l =1116l
a-3xb if a = 20 and b= 5
Answer:
5
Step-by-step explanation:
3x5 = 15
20-15 = 5
Answer:
5
Step-by-step explanation:
20-3x5=
3x5=15
20-15=5
hope this helps!!
The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the following would result from an increase in the supply curve? a. a market equilibrium price greater than $30 b. A market equilibrium price less than $30 c. A market equilibrium quantity less than $30 d. A market equilibrium quantity greater than $30
Answer:
B) A market equilibrium price less than $30
Step-by-step explanation:
When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.
Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.
It took Lin's dad about 3.6 miles for him to meet up with his family.
SpeedSpeed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let d represent the distance travelled by Lin to meet up with his family. Hence:
Total time for Lin's Dad = d/0.24 + 5
Total time for Lin = d/0.18
Hence:
d/0.24 + 5 = d/0.18
100d/24 + 5 = 100d/18
1800d + 2160 = 2400d
d = 3.6 miles
Find out more on Speed at: https://brainly.com/question/4931057
HELP i don’t know what the slope is or how to do this!!!
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
please like
Answer:
undefined
Step-by-step explanation:
Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.
m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)
It does not matter which points you call point 1 and point 2.
__
For the points given on the graph we can compute the slope to be ...
m = (2 -(-3))/(-1 -(-1)) = 5/0
The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."
need help with rhis algebra 1 ques
Answer:
C. Quadrant I
Step-by-step explanation:
For a fact, that with radioactive substance it will decay and never stop halving itself. So the line of amount of radioactive substance always halves in a specific time. This type of graph are done in a positive unit grids, never on a negative because that would mean, the radioactive substance rather decaying, its absorbing. So the answer will be Quadrant I.
Visual likewise graph given below.
Answer:
C. Quadrant I onlyStep-by-step explanation:
Both the time and the amount of the substance are positive.
Since both input and output are positive, it is possible in the fist quadrant.
Correct choice is C