Answer:
x = -2+i√5 and -2i-√5Step-by-step explanation:
The general form of a quadratic equation is ax²+bx+c = 0
Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;
ax² = x²
a = 1
bx = 4x
b = 4
c = 9
The quadratic formula is given as x = -b±√(b²-4ac)/2a
Substituting the constant;
x = -4±√(4²-4(1)(9))/2(1)
x = -4 ±√(16-36)/2
x = -4±√-20/2
x = -4±(√-1*√20)/2
Note that √-1 = i
x = -4±(i√4*5)/2
x = (-4±i2√5)/2
x = -4/2±i2√5/2
x = -2±i√5
The solution to the quadratic equation are -2+i√5 and -2i-√5
Let a and b be rational numbers. Is a – b rational or irrational?
Answer:
Rational
Step-by-step explanation:
Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.
Example: 34 (rational) 23 (rational)
34 - 23 = 11 (rational)
what is the answer for 6x-4=-26+5x
Answer: x=-22
Step-by-step explanation:
6x-4=-26+5x
6x-4-5x=-26+5x-5x ⇔ subtraction property of equality
x-4=-26
x-4+4=-26+4 ⇔ addition property of equality
x=-22
Answer:
x = - 22Step-by-step explanation:
6x - 4 = - 26 + 5x
First of all group like terms
Send the constants to the right side of the equation and those with variables to the left
That's
6x - 5x = 4 - 26
Simplify
We have the final answer as
x = - 22Hope this helps you
use order operation
Answer:
The correct answer is the final option, 2.
Step-by-step explanation:
[(16+4) - 10] - 8
Our first step in this problem, according to the order of operations, is to simplify what is inside the parentheses. Since there are multiple sets of parentheses, we must simplify the innermost group first. If we add 16 and 4, we get:
[20 - 10] - 8
Next, we must perform the subtraction inside the parentheses. This gives us:
10 - 8
Now, we can perform the final operation.
10 - 8 = 2
Therefore, the correct answer is 2.
Hope this helps!
Helpp pleasee asap!!
Answer:
114,112,coA,ce 58,124,DFA,EOB
please whats the answer to 8 - 14s + 3g
Answer:
8 - 14s + 3g
Step-by-step explanation:
None of the terms are like terms so it cannot be simplified
8 is a constant
-14 and 3 are coefficients
s and g are variables
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 14s + 3g
▹ Step-by-Step Explanation
Since we can't combine like terms, the answer will remain the same as the problem:
8 - 14s + 3g
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
31. Each day, Talisa exercises by first
stretching and then swimming
some laps, as shown in the table.
Make a scatter plot of the total
time she exercises as a function
of the number of laps she swims.
Draw a trend line.
Answer:
Step-by-step explanation:
Given the following :
Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9
Total time - - - 25 - - 28 - - 29 - - 30 - - 32
Using online graphing tool:
The y - axis named dependent variable represents the total time taken.
The x-axis, represents the number of laps.
The equation of the trend line attached to the plot is in the form :
y = mx + c
y = 1.6x + 17.6
Where y = total time taken
x = number of laps
m = 1.6 = gradient of the line (change in y / change in x)
C = 17.6 = intercept (whee the trndline intersects the y-axis).
find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen
*sorry its chemistry*
Answer:
Empirical formula= COOH
Step-by-step explanation:
Molecular mass of the elements
Carbon= 12
Oxygen= 16
Hydrogen= 1
We divide the elements each with their molecular formula
Carbon= 2.4/12
Carbon= 0.2
Oxygen= 6.4/16
Oxygen= 0.4
Hydrogen= 0.2/1
Hydrogen= 0.2
Now we divide with the smallest result which is 0.2
Carbon= 0.2/0.2
Carbon = 1
Oxygen= 0.4/0.2
Oxygen= 2
Hydrogen= 0.2/0.2
Hydrogen= 1
So we have
Carbon 1, oxygen 2, hydrogen 1
Empirical formula= COOH
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28
Answer:
1
Step-by-step explanation:
I believe it is 1. Just picture or draw a diagram of the constraints. Don't quote me on this though...
Answer:
Step-by-step explanation:
apply sine formula
[tex]\frac{a}{sin ~A} =\frac{b}{sin~B} \\\frac{25}{sin~58} =\frac{28}{sin ~B} \\sin~B=\frac{28}{25} \times sin~58\\B=sin^{-1} (\frac{28}{25} \times sin ~58)=71.77 \approx 72 ^\circ[/tex]
so third angle=180-(58+72)=180-130=50°
∠C=50°
[tex]cos ~C=\frac{a^2+b^2-c^2}{2ab} \\or ~2abcos~C=a^2+b^2-c^2\\2*25*28*cos ~50=25^2+28^2-c^2\\c^2=625+784-1400 *cos~50\\c^2=1409-899.90\\c^2=509.1\\c=\sqrt{509.1} \approx 22.56 \approx 22.6[/tex]
so one triangle is formed.
hey can someone help me out here because i dont know none of this
Answer:
x = 0
Step-by-step explanation:
In order for this to be a function there has to be an x and y pair. You cant have 2 different x values correlate to 1 y value. The only number not used on the table of value is 0
Therefore the value of x is 0
==================================================
Explanation:
The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3
If we have any input repeat itself with a different paired y value, then we will not have a function.
So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.
Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.
Help please!!! Thank you
Answer:
2y+6x=180
Step-by-step explanation:
Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.
From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.
What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left
The vertical lines on each side of the x mean it is the absolute value of x.
Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.
The answer is B.
There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.
Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
To know more about functions follow
https://brainly.com/question/2833285
#SPJ2
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area
Answer:
The volume is 1386 cm³ and curved surface area is 396 cm².
Step-by-step explanation:
Given that,
The diameter of a cylinder is 14 cm
Height of the cylinder is 9 cm
We need to find the volume and curved surface area .
If r is the radius, r = 14/2 = 7 cm
Volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3[/tex]
The curved surface area of the cylinder is given by :
[tex]A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2[/tex]
So, the volume is 1386 cm³ and curved surface area is 396 cm².
a blue die and a green die are rolled. find the probability that the blue and green are both less than 6
Answer
5/6 maybe
Step-by-step explanation:
Find an angle such that is 4 times its complement equals 200°
Answer:
144°
Step-by-step explanation:
Complement angles add up to 180°
Therefore.....
x=4(180-x)
x=720-4x
5x=720
x=144°
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of the given angle is 40.
What are Complementary Angle?When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Let the given angle be represented by x.
Now, the complement of this angle will be,
Complement angle = (90 - x)
Further, it is given that 4 times the complement of this angle is equal to 200°. Therefore, we can write,
4(90 - x) = 200
360 - 4x = 200
-4x = -360 + 200
-4x = -160
x = -160 / -4
x = 40
Hence, the measure of the given angle is 40.
Learn more about Complementary Angles here:
https://brainly.com/question/5708372
#SPJ2
In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8
Answer:
a. v
Step-by-step explanation:
Given
[tex]3v - 8[/tex]
Required
Identify the variable
Literary, variable means things that change in values;
Going by this definition, we have that:
3 -> This is not a variable because its value will always be 3
v -> This is a variable because its value can change once its value changes, the result of the expression will also change
- -> This is not a variable; it is an arithmetic operator to subtract
8 -> This is not a variable because its value will always be 8
Take for instance
[tex]v = 2[/tex]
[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]
When [tex]v =5[/tex]
[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]
Notice that there's a difference in both results;
This is as a result of v being a variable
type in symbols to make 3,7,12,2 equal 45
Answer:
The answer is (3×7) + (12×2) .
[tex](3 \times 7) + (12 \times 2)[/tex]
[tex] = 21 + 24[/tex]
[tex] = 45[/tex]
Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it.
Answer:
Hey there!
We can write an equation:
x+x+1+x+2=7
3x+3=7
3x+4
x=4/3
The lines are 4/3, 7/3, and 10/3.
Let me know if this helps :)
A shopkeeper sells a DVD player at a price RM 2,500. If the cost price of the DVD player was RM 3,500, find the profit/loss in which the shopkeeper is. Also, find the percent for the same.
Answer:
see explanation
Step-by-step explanation:
Since the player was sold for less than what was paid then a loss is made.
loss = 3500 - 2500 = 1000
percent loss = [tex]\frac{loss}{cost}[/tex] × 100% , thus
percent loss = [tex]\frac{1000}{3500}[/tex] × 100% ≈ 28.6% ( to 1 dec. place )
Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .
Answer:
1.4071
Step-by-step explanation:
The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:
[tex]M_{day}(t)=3.5(1.05)^t[/tex]
This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.
Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]
Explain how to solve a system of three equations using the elimination method.
Step-by-step explanation:
You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable
Answer:
To use elimination to solve a system of three equations with three variables, follow this procedure:
Write all the equations in standard form cleared of decimals or fractions.
Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.
Select a different set of two equations and eliminate the same variable as in Step 2.
Solve the two equations from steps 2 and 3 for the two variables they contain.
Substitute the answers from Step 4 into any equation involving the remaining variable.
Check the solution with all three original equations.
Step-by-step explanation:
pls answer fast I need help
Answer:
5(2+2s)
= 10+10s
hope it helps <3
Answer:
5(2+2s)=10+10s
Step-by-step explanation:
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour?
Answer:
Nina can run:
13 1/2 km in 1 hour
Step-by-step explanation:
4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2
proportions:
9/2 hours ⇔ 1/3 hour
N hours ⇔ 1 hour
N = (9/2)*1 / (1/3)
N = (9/2) / (1/3)
N = (9*3) / (2*1)
N = 27/2
27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2
Nina can run:
13 1/2 km/h
13 1/2 km in 1 hour
Nina can run [tex]13\frac{1}{2}[/tex] km in an hour
The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3
Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]
Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km
To learn more about fractions, please check:
https://brainly.com/question/21449807?referrer=searchResults
Please answer this question now
Answer:
112°
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\widehat {BCD} = 2\times m\angle BAD\\
\therefore m\widehat {BCD} = 2\times 129\degree \\
\therefore m\widehat {BCD} = 258\degree\\\\
\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\
\therefore m\widehat{CD} = 258\degree - 146\degree \\
\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]
a(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis
Find the 12^\text{th}12
th
12, start superscript, start text, t, h, end text, end superscript term in the sequence.
Answer:
The 12th term is 61
Step-by-step explanation:
I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).
To find the 12th term, substitute 12 for n in the above formula:
a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61
The 12th term is 61
Answer:
61
Step-by-step explanation:
Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )
Responder:
64 visitas
Explicación paso a paso:
Dado lo siguiente:
Número inicial de bacterias = x
Tasa de crecimiento = se duplica cada dos horas
¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?
La cantidad de veces (n) en las que la cantidad de bacterias se duplica:
n = 12 horas / período de tasa de crecimiento
n = 12/2 = 6
Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.
Por lo tanto, la cantidad de bacterias después de 12 horas será:
Después del 1er período = x * 2 = 2x
2do período = 2 ^ 2 * x = 4x
Después de n período
= 2 ^ n * x
Después de 6 períodos:
2 ^ 6 * x = 64x
Número de veces que las bacterias serán mayores en 12 horas:
Inicial = final
x = 64x
Comparando ambos
Las bacterias serán 64 veces más grandes después de 12 horas.
plz help me Identify the domain and range of relation ({3,-2),(8,1),(-9,2),(1,8)}
Answer:
domain { -9,1,3,8)
range{ -2,1,2,8}
Step-by-step explanation:
The domain is the inputs
Domain = 3,8,-9,1
We write them in the order from smallest to largest
domain { -9,1,3,8)
The range is the outputs
Range = -2,1,2,8
We write them in the order from smallest to largest
range{ -2,1,2,8}
What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.
Answer:
slope = 4
Step-by-step explanation:
recall that for a linear equation in the form:
y = mx + b,
m = slope of line and b is the y-intercept.
In our case, we are given
y = 4x
If we compare this with the general equation above,
we can see that m = 6 and b = 0
hence slope = m = 4
One week, Daniel earned $554.30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939.90?
Answer:
39 hours
Step-by-step explanation:
First, let's find the rate of money per hour:
$554.30 / 23 hour
= $24.1 / 1 hour
Daniel earns $24.10 every hour he works.
To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:
$939.90 / 24.10
= 39
Now, we can check:
$24.10 * 39
= $939.90
Hope this helps! Please tell me if I was incorrect!
I need help! Answer as fast as you can. Marking brainlyiest
Answer:
A
Step-by-step explanation:
We can break down what each term represents in the equation
60 is the constant. This is the base price that is paid regardless of workers and hours needed
Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.
The most accurate answer is A
