The number of real solution varies according to the degree of the equation and the nature of the equation, The answer is dependent on degree and nature.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
example:
A linear equation (degree 1) has one real solution.
A quadratic equation (degree 2) can have either two real solutions, one real solution or no real solutions, as it depends on the discriminant of the equation, as I explained in my previous answer.
A cubic equation (degree 3) can have one to three real solutions, depending on the coefficients of the equation.
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someone pls help me what is the equation for this graph pls help me and get it right pls :)
Answer:
y= -1/5x
Step-by-step explanation:
hope this helps :)
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Answer:
Translate(1.3, -1)
Scale Factor: 2/3
Step-by-step explanation:
First, perform a dilation about the origin. This will make the original shape smaller.
From the given diagram, we can see that R'S' is 10 units long. RS is 15 units long. Using this information, we can create this ratio.
[tex]\frac{10}{15}[/tex]
This means that Triangle R'S'T' is 2/3 of Triangle RST. Construct lines from the origin (the center of dilation) to each point on the original triangle. Then, find two thirds of that line. The new point will be the new y-coordinate.
The new coordinates will (approx.) be:
R = (-2, 4.7)
S = (-2, -5.3)
Only two coordinates are necessary to perform this translation. As per the graph, this triangle must shift approximately 1.3 units up and 1 unit to the left. Thus, the final translation is:
Translate(1.3, -1)
Scale Factor: 2/3
Answer the picture pls
Answer:
The second one!! :)
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
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What is the equation of the straight line shown below? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. Y 14- 13- 12- 11- 10- 9 8- 97654 MNE 7- 6- 5- 4- 3- 2- 1- -10-9-8-7-6-5-4-3-2 0 1 2 3 4 5 6 7 8 9 10 x -1 -2- -3- بنا -4- 56 -5- -6+
Answer:
y = 2x + 10
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 10) ← 2 points on the line
m = [tex]\frac{10-0}{0-(-5)}[/tex] = [tex]\frac{10}{0+5}[/tex] = [tex]\frac{10}{5}[/tex] = 2
the line crosses the y- axis at (0, 10 ) ⇒ c = 10
y = 2x + 10 ← equation of line
For the given logistic function,
21
f(x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal asymptote is y =
Answer:
x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal as
hello please help i’ll give brainliest
Answer:
Papyrus
Step-by-step explanation:
the one that's not right is the 3rd one
Find the surface area, volume, and radius and select all the correct measurements,
Answer:
surface area ---> i
volume ---> b
radius ---> d
Step-by-step explanation:
surface area= 4πr² =4x3.14x14²=2461.76cm²
volume= (4÷3)πr³= (4÷3)x3.14x14³=11488.21cm³
radius = half the diameter = 14cm
Zoe i aving up to buy a new bicycle. She already ha $80 and can ave an additional $6 per week uing money from her after chool job. How much total money would Zoe have after 6 week of aving? Alo, write an expreion that repreent the amount of money Zoe would have aved in ww week
If Zoe already has $80 and can save an additional $6 per week using money from her after school job then the total amount of money that Zoe saved after 6 week of saving is $116 and
the expression that represent amount of money Zoe would have saved in w weeks is [tex]80+6w[/tex] .
The amount that Zoe already saved = $80 ;
the amount that she can additionally save is = $6 per week ,
the amount of money that can be saved after 6 weeks can be written as :
[tex]Amount = \$80+(Amount Saved Per Week)\times(Number Of Weeks)[/tex]
Amount = [tex]80+6\times6[/tex]
= [tex]80+36[/tex]
= $116
and the expression for w weeks will be = [tex]80+6\times w[/tex]
The expression is ⇒ [tex]Amount = 80+6w[/tex].
The given question is incomplete , the complete question is
Zoe is saving up to buy a new bicycle. She already has $80 and can save an additional $6 per week using money from her after school job. How much total money would Zoe have after 6 week of saving ?
Also, write an expression that represent the amount of money Zoe would have saved in w weeks ?
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Select the correct answer. how many particles are in one mole?
a. 6.022 × 1023
b. 2.066 × 1023
c. 6.023 × 1022
d. 3.026 × 1022
6.022× [tex]10^2^3.[/tex]particles are in one mole.
The correct option is 6.022× [tex]10^2^3.[/tex]
Now, According to the question:
Avogadro's number
Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × [tex]10^2^3.[/tex] The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.
Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× [tex]10^2^3.[/tex]particles (atoms, molecules or ions) which is also known by the name Avogadro's number.
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Jackson is going to invest $33,000 and leave it in an account for 20 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Jackson to end up with $133,000?
Answer:
Rate = 7.0% per year
Step-by-step explanation:
Formula: rate = In(A/P)/t
I = interest
n = compound, in this case continuous
A = Total amount ($133,000)
P = Principal ($33,000)
t = time (20 years)
Plug in the values and solve:
rate = In(133000/33000)/20
rate = 0.06969
Convert to percentage:
rate = 6.969%
Round to the nearest tenth of a percent:
rate = 7.0%
A chef at a restaurant uses 13 pounds of butter each day.About how many grams of butter does the chef use each day us 16ounces/1pound 28.4grams/1ounce
Answer:
5907.2 grams
Step-by-step explanation:
16 x 28.4 x 13 = 5907.2grams
The length of the base of an isosceles triangle is x. The length of a leg is 5x -2. The perimeter of the triangle is 106. Find x. X =
Answer:
x = 10
Step-by-step explanation:
the legs of an isosceles triangle are congruent.
the perimeter is the sum of the 3 sides of the triangle
sum the 3 sides and equate to 106
x + 5x - 2 + 5x - 2 = 106
11x - 4 = 106 ( add 4 to both sides )
11x = 110 ( divide both sides by 11 )
x = 10
Find the perimeter of the rectangle
A. 46
B. 136
C. 23
D. 25
Answer:
A.46
Step-by-step explanation:
rectangle divided in two by the diagonal, we find the missing side (x) with Pythagoras
x² = 17² - 8²
x² = 289 - 64
x² = 225
x = √225
x = 15in
now we have all the sides and we add them to find the perimeter8 + 15 + 8 + 15 =
46in
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The standard form of the polynomial -n²(n² + 5n + 6) is -n⁴ - 5n³ - 6n².
How to represent polynomial in standard form?Polynomials are algebraic expressions that consist of variables and coefficients.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Hence, let's represent the polynomial in standard form as follows:
-n²(n² + 5n + 6)
Open the brackets
-n²(n² + 5n + 6) = -n⁴ - 5n³ - 6n²
Hence,
-n²(n² + 5n + 6) = -n⁴ - 5n³ - 6n²
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a club treasurer is solving a problem using the expression shown. -23.50 + 5 which problem is the treasurer MOST LIKELY solving? A. There is a club member who pays 23.50$ in dues each month for 5 months. What is the total amount, in dollars, that the member pays in dues? B. There are 5 club memebers who each owe the club 23.50$ in dues. What is the total balance, in dollars, of the members accounts? C. a total of 23.50$ in dues is owed to the club. There are 5 club memebrs who each owe the same account in dues. What is the amount, in dollars, that each member owes in dues? D. A total of 23.50$ in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?
When the treasurer is solving a problem using the expression shown. -23.50 ÷ 5, the problem that the treasurer is lost likely solving is D. A total of -$23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?
How to illustrate the expression?From the information, the club treasurer is solving a problem using the expression shown. -23.50 ÷ 5. An expression show the relationship between the variables.
In this case, a total of $23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues.
The correct option is D.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer: d
cause it says its the same
Step-by-step explanation:
write an equation that represents the relationship between x and y shown in the table
An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
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How do you draw an acute angled isosceles triangle?
Answer:
To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.
Step-by-step explanation:
Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.
Which one of these is correct? Could you explain
Please help me asap!!
Answer:
I can’t seem to see it properly
Step-by-step explanation:
PLEASE HELPPPP
(image below)
Answer:
b
Step-by-step explanation:
I think number B is the answer. because the square becomes root when it crosses the = . So, the answer is B
Answer:
b. ±√60
Step-by-step explanation:
You want to know the solution to x² = 60.
SolutionIn general, the process of solving for a variable's value requires you to "undo" what is done to the variable. This generally means you use inverse operations. The inverse of the squaring operation is the square root operation.
Taking the square root of both sides, we get ...
√(x²) = √60
|x| = √60 . . . . . . simplify the left side
x = ±√60 . . . . . . . write the equivalent without the absolute value bars
__
Additional comment
As with any operation performed on an equation, it must be done to both sides of the equal sign.
You will get a ±(radical) result whenever you take an even-index root: square root, fourth root, sixth root, and so on. Odd-index roots will have the same sign as the value under the radical.
√64 = ±8
∛64 = 4; ∛-64 = -4
In a bike shop there is a total of 120 bikes. If mountain bikes make up 10% of the total bikes in the shop how many mountain bikes are there
Answer: There are 12 mountain bikes in the shop
Step-by-step explanation:
Total number of bikes in the bike shop =120
Percentage of mountain bikes =10%
Number of mountain bikes in the shop =10% of 120
=10% x 120
==0.1 x 120=12
what is the area and perimeter of 29 yd and 72 yd
Answer:
Area: 2,088 Perimeter: 202
Step-by-step explanation:
Since it's a rectangle, both small sides are going to be the same, and both long sides are going to be the same. So for perimeter add up 29+72+29+72 to equal 202. For area you just multiply 29 times 72:)
Find the x-intercept and y-intercept
from the following linear equation:
12x + 30y = 180
x - intercept = ()
y - intercept ()_
Answer:
x - intercept = (15, 0)
y - intercept = (0, 6)
Step-by-step explanation:
x-int. is when y = 0
y-int. is when x=0
Plug in y = 0 and x = 0 to get intercepts.
FOR X-INT.:
12x + 30(0) = 180
12x = 180
x = 15
x-int. is (15, 0)
FOR Y-INT. :
12(0) + 30y = 180
30y = 180
y = 6
y-int. is (0, 6)
how to work out 109 divided by 200?
Answer:
0.545 your welcome :D
Step-by-step explanation:
109÷200
Answer: 0.545
I just searched it up...... ya welcome homie
Step-by-step explanation:
search it "109 divided by 200" you'll get ur answer
Which of the following is a counterexample to "the sum of two numbers is always greater than either of the numbers"?
15 + 7
+
-6 + 12
0.05 + 0.5
Answer:
-6 +12
Step-by-step explanation:
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Answer: the answer is A
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )
The measurements are found using congruency.
What does congruency mean?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
It is given that ABCD ≅ EFGH :
According to congruency,
22. AD = EH, so AD = 335 ft.
23. GH= CD, so GH = 45ft.
24. m∠GHE = m∠CDA, so m∠GHE= 52°
25. m∠BAD= m∠FEH, so m∠BAD= 52°
26. EF= AB, so EF= 45ft
27. BC= FG, so BC= 280ft
28. m∠DCB= m∠HGF, so m∠DCB= 128°
29. m∠EFG= m∠ABC, so m∠EFG= 128°
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What is the angle between the lines 2x 3y =- Z and 6x =- Y =- 4z?
90° is the angle between the lines 2x = 3y = -z and 6x = -y = -2z and explained with directions of ratios as below
Direction ratios of line 2x = 3y = -z which can be mentioned as [tex]\frac{x}{1/2} = \frac{y}{1/3} = \frac{z}{-1}[/tex] hence [tex](\frac{1}{2} , \frac{1}{3} ,-1 )[/tex]
Direction ratios of line 6x = -y = -2z which can be mentioned as
[tex]\frac{x}{1/6} = \frac{y}{-1} =\frac{z}{-1/4}[/tex] hence [tex](\frac{1}{6} , -1 , \frac{-1}{4} )[/tex]
hence the dot product of the direction ratio of two line is
[tex]\frac{1}{2} .\frac{1}{6} + \frac{1}{3} . (-1) + (-1) . \frac{-1}{4}[/tex]
= [tex]\frac{1}{12} -\frac{1}{3} + \frac{1}{4}[/tex]
= 0
hence this shows that angle between the given equations is 90°
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3. 2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2
green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance
of capturing the ball.
a) You watch a roulette wheel spin 9 consecutive times and the ball lands on a red slot each time. What is
the probability that the ball will land on a red slot on the next spin?
(please round to four decimal places)
b) You watch a roulette wheel spin 320 consecutive times and the ball lands on a red slot each time. What
is the probability that the ball will land on a red slot on the next spin?
x (please
round to four decimal places)
The probabilities for the game of roulette that involves spinning a wheel with 38 slots, for a and b, are 0.4737, or 18/38, or 47.37%.
The following are the rationales:
(a) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, the probability of the ball landing on a red slot on the next spin is also 18/38, or 0.4737, or 47.37%.(b) The probability of the ball landing on a red slot on any given spin is 18/38, or 0.4737, or 47.37%. This probability does not change based on the outcome of previous spins, as each spin is independent of the others and the probability of landing on a red slot is always the same. So, even though the ball has landed on a red slot 300 consecutive times, the probability of the ball landing on a red slot on the next spin is still 18/38, or 0.4737, or 47.37%Learn more about probability here: brainly.com/question/25839839
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