Answer:
x = -1 ± 2i
Step-by-step explanation:
Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
√-1 = i
Step 1: Factor GCF
3(x² + 2x + 5)
Step 2: Use quadratic formula
a = 1
b = 2
c = 5
[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]
[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]
[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]
[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]
[tex]x = \frac{-2+/-4i }{2}[/tex]
[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]
x = -1 ± 2i
factor out the greatest common factor. 6x^5-15x^2+12x=?
Answer:
Factor GCF: 3x(2x⁴ - 5x + 4)
Step-by-step explanation:
Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.
PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution
Answer:
No solutions.
Step-by-step explanation:
x minus 3y = 4
x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3
-2x + 6y = 3
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Hope this helps!
The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given system of equation;
x minus 3y = 4 means x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3 means -2x + 6y = 3
Solving;
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
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A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations of both the bug and the car
Answer:
acceleration=force/mass
Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.
impulse=change in momentum
The impulse of bug is more and that of car is small.
momentum changes=change in momentum
force=change in momentum/time of contact
the force exerted by car on the bug will be more than the converse
Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)
Answer:
D (6,1)
Step-by-step explanation:
[tex]x + 3y = 9[/tex]
[tex]y = x-5[/tex]
When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.
[tex]x + 3y = 9[/tex]
[tex]x+3(x-5)=9[/tex]
[tex]x+3x-15=9[/tex]
[tex]4x=9+15[/tex]
[tex]4x=24[/tex]
[tex]x=6[/tex]
When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.
When x=6, substitute into [tex]y = x-5[/tex]
[tex]y=6-5[/tex]
[tex]y=1[/tex]
Hooray, now you have the value of x and y which are x=6 and y=1.
I hope you will understand the answer.
You can ask any question here if you still cannot get the point. Don't be shy.
Answer:
d (6,1)
Step-by-step explanation:
a pex
Which of the following pairs of angles are supplementary? Select all that apply.
The supplementary angles are:
<1 and <3
<1 and <4
<2 and <3
<2 and <4
what are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.
Given:
As, the supplement angles forms 180 angles.
So, from the angles that are supplementary are
<1 and <3
<1 and <4
<2 and <3
<2 and <4
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Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down
Answer:
y = -2/9 |X| - 8
Step-by-step explanation:
I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.
If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.
Answer:
y=-2/9 |x| -8
Step-by-step explanation:
y = f(x) + C C < 0 moves it down
y=-2/9 |x| -7 Shift down 1 by subtracting 1
y=-2/9 |x| -7-1
y=-2/9 |x| -8
Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3
Answer:
The angles of this would be x=30
Step-by-step explanation:
If they are proportional to 1:2:3, then we can do 2 things.
They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.
Second, the angles of an triangle equal 180.
Adding 1 + 2 =
1x + 2x + 3x = 180
6x = 180
x = 30
Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.
Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.
Answer:
[tex] 4y^3 [/tex]
Step-by-step explanation:
[tex] \dfrac{4}{y^{-3}} = [/tex]
[tex] = 4 \times y^3 [/tex]
[tex] = 4y^3 [/tex]
Answer:
4y^3
Step-by-step explanation:
5) El peso en kilos de 9 niños es 15, 25, 17, 19, 16, 26, 18, 19 ,24 a) ¿Cuál es la media y mediana? El promedio es 20 b) ¿Cuál es la mediana si incluimos el peso de otro niño que pesa 43 kg? c) En el segundo caso ¿sería la media aritmética un buen representante de los 10 datos? Argumenta tu respuesta.
Respuesta: 19; 19,89
B) 19 C) No
Explicación paso a paso:
Dados los datos:
15, 25, 17, 19, 16, 26, 18, 19, 24
Reorganizando los datos:
15, 16, 17, 18, 19, 19, 24, 25, 26
Mediana de los datos:
(N + 1) / 2
Donde N = número de observaciones
Mediana = (9 +1) / 2 = 10/2 = 5 a observación = 19.
Media = suma de valores observados / número de observaciones
Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26) / 9
Media = 179/9 = 19.89
B) mediana si se agrega otro niño que pese 43 kg
Los nuevos datos se convierten en:
15, 16, 17, 18, 19, 19, 24, 25, 26, 43
Mediana = (N + 1) / 2
Mediana = (10 + 1) / 2 = 11/2 = 5.5 Como tenemos un decimal:
La mediana será el promedio de la quinta y sexta observación: (19 +19) / 2 = 38/2 = 19
C) No, la media aritmética no parece ser un buen representante de la observación de 10 datos con el valor de peso recién agregado de 43 kg, ya que el valor parece considerablemente más alto que el conjunto de los 9 valores anteriores. Con el peso recién agregado, la media aritmética se convierte en: Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26 + 43) / 10 Media = 222/10 = 22.2
A. True
B. False
Plz answer
Answer:
TRUEStep-by-step explanation:
≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)
So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC
{ΔABC≅ΔDEF and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO
And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC
{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR
d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)
Answer:
Output work = 1Nm
Input work = 1Nm
Load arm = 0.02m
Step-by-step explanation:
Given the following :
Effort applied = 10N
Load = 50N
Effort distance = 10cm = 10/100 = 0.1m
Calculate : the load arm, input work and output work
Input work = Effort × distance moved by effort
Input work = 10N × (0.1)m = 1J
B) Load arm or load distance :
Mechanical advantage (MA) = load / effort
MA = 50 / 10
MA = 5
MA = input distance / output distance
5 = 0.1 / load arm
load arm = 0.1 / 5
load arm = 0.02m
C.) Output work :
Load × load distance
50N × 0.02
Output work = 1J
one and two third minus two and two third
Answer:
[tex]1 \frac{2}{3} - 2\frac{2}{3} = -1[/tex]
Step-by-step explanation:
[tex]1\frac{2}{3} - 2 \frac{2}{3\\} \\\\\frac{5}{3} - \frac{8}{3} = \frac{-3}{3} \\ \\\frac{-3}{3} = -1[/tex]
Hope this helps! :)
Here is the histogram of the data distribution all websites are One what is the median of this distribution? 7, 9, 5, 4
Answer:
5
Step-by-step explanation:
To find the median of the distribution, since the columns are divided into boxes(segments), we simply count the number of individual boxes
Here, the total number of boxes would be 15 boxes , so we count 7 boxes starting form each of the ends, then the middle box is the median
Counting from each end, the middle box falls on 5 which makes it our median
Answer:
5
Step-by-step explanation:
The awnsers 5
the number 5 is in the middle of all the numbers.
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
a and b are examples of a vertical pair.
Step-by-step explanation:
Vertical pairs are equal to each other with the same degrees.
this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000
Answer: 50
Step-by-step explanation:
I am rounding it to 1 significant figure.
9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)
5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)
So it now is 10 x 5 = 50
Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
Given product is 9.8 * 5.2
Now we are rounding it to 1 significant figure.
Round up when the last digit is 5, 6, 7, 8 or 9
9.8 = 10
Round down when the last digit end with 0, 2, 3 or 4
5.2 = 5
So, 10 x 5 = 50
Thus, option B is correct.
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Please answer this question now in two minutes
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $
Answer:
Step-by-step explanation:
The pasta plate will cost $ 5.5
y=4x+2.5 ( x is the number of ingredients)
$ 2.5+(4*0.75)= 5.5 dollars
9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.
Answer:
a) deceleration = 0.4 m/s^2
b) distance = 320m
Step-by-step explanation:
a)
using formula a = (v-u)/t,
acceleration a = unknown (deceleration is the negative of acceleration)
final velocity v = 0 m/s (rest)
initial velocity u = 16 m/s
time t= 40s.
a = (0-16)/40
a = -0.4
Hence deceleration = 0.4 m/s^2
b)
Use formula v²-u² = 2as
distance s = unknown
0²+16² = 2(-0.4)(s)
s = 320m
If EB = 5, find the value of CD.
3
CD = [?]
Enter
Answer: 10
Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
The value of CD is 10.
What is perpendicular?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
EB= 5
As, OE is perpendicular to AB
AB = 2EB
Also, AB=CD
so, CD= 2 EB
CD = 2*5
CD= 10
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SOMEBODLY PLZ HELP ASAP! Find x
Answer:
x=4
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -----------------
leg part
2+6 x
------- = -----------------
x 2
Using cross products
8*2 = x^2
16 =x^2
Take the square root of each side
4 =x
It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g
Answer:
15 g.
Step-by-step explanation:
The following data were obtained from the question:
Heat required (Q) = 350 J
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Specific heat capacity (C) = 1.2 J/g°C
Mass (M) =..?
Next, we shall determine the change in temperature.
This is illustrated below:
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Change in temperature (ΔT) =..?
Change in temperature (ΔT) = T2 – T1
Change in temperature (ΔT) = 30 – 10
Change in temperature (ΔT) = 20 °C
Finally, we shall determine the mass of the substance as follow:
Heat required (Q) = 350 J
Specific heat capacity (C) = 1.2 J/g°C
Change in temperature (ΔT) = 20 °C
Mass (M) =.?
Q = MCΔT
350 = M x 1.2 x 20
Divide both side by 1.2 x 20
M = 350 / (1.2 x 20)
M = 14.5 ≈ 15 g
Therefore, the mass of the substance is
15 g.
Answer:
15 g
Step-by-step explanation:
Please explain how you would prove that all circles are similar?
Answer:
Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.
Step-by-step explanation:
Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.
Which of the following, if true, most seriously weakens the argument?
(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.
Answer:
the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
Step-by-step explanation:
The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.
so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.
What is the length of the side opposite the 45degree angle
Answer:
In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.
A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? a. 24 b. 42 c. 48 d. 84
Answer:
The approximate area of the hexagon is 42 in²
Now, the length of one side is 4 inches.
Answer:
B. 42 in.^2
Step-by-step explanation:
Just took the Unit Test on Edg (2020-2021)!!
I need the answer to C.
Answer:
The answer to c is an arc
Answer:
it's an arc of the circle.
Step-by-step explanation:
An arc of a circle is a "portion" of the circumference of the circle.
An infinite series is represented by:
.................................
Answer:
c
Step-by-step explanation:
Using the sine ratio in the right triangle
sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c
Which inequality is represented by the accompanying graph?
Thank you!!!
Answer:
y<3
Step-by-step explanation:
It is y<3 because all areas below y=3 are shaded.
In addition, the line y=3 is dotted, which means it is not part of the inequality (i.e. strict inequality).
If it had been a full line, then it would be y<=3.
Find the area of the shaded regions
Answer:
c
Step-by-step explanation: