2. Using the discriminant, determine the number of real roots of the equation x² - 4x + 4 = 0. Do not solve the equation.​

Answers

Answer 1
Answer: 1 Real Root

Step by Step Explanation:
The discriminant uses the formula b^2-4ac. (^ means an exponent, b squared up above)
a=1, b =4, c=4 sub in those values into the formula.
(4)^2-4(1)(4) = 0
Since the answer is 0, the equation will have 1 real root.

Related Questions

Uhm it's confusing somehow mind helping?

Answers

Answer:

yo can maybe try converting those to every possible answer and you can find the answer that way.

Step-by-step explanation:

Check whether the following differential equation is exact or not. If not, then convert it into an exact differential equation.

[tex]2ydx+(x-sin\ y^{\frac{1}{2} } )dy =0[/tex]

Answers

The given differential equation is not exact, if we convert it to an exact one, we get:

[tex]2ydx + 2*(x - sin(y)^{1/2})*dy = 0[/tex]

Is the differential equation exact or not?

A differential equation:

[tex]Ndx + Mdy = C[/tex]

Is exact only if:

[tex]\frac{dM}{dy} = \frac{dN}{dx}[/tex]

In this case, we have:

[tex]2ydx + (x - sin(y)^{1/2})*dy = 0\\\\then:\\\\N = 2y\\M = x - sin(y)^{1/2}[/tex]

If we differentiate, we will get:

[tex]\frac{dN}{dy} = 2\\\\\frac{dM}{dx} = 1[/tex]

So, to convert this to an exact differential equation, we need to add a factor 2 to N, this will give:

[tex]2ydx + 2*(x - sin(y)^{1/2})*dy = 0[/tex]

This is, in fact, an exact differential equation.

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A store is having a 20% off sale.The sale price of an item with price p is p-0.2p.what is an equivalent expression

Answers

Answer:

0.8p

Step-by-step explanation:

Hello!

As the questions states, 20% of p is 0.2p.

Simplifying the equation:

p - 0.2p0.8p

0.8p is also 80% of p, which can be translated to 100% - 20% of p.

The equivalent expression is 0.8p.

Given the function h of x equals 8 times the cube root of x minus 6 end root plus 16, what is the x-intercept of the function?

–6
–2
2
16

Answers

The x-intercept of the function [tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex] is -2

How to determine the x-intercept?

The equation of the function is given as:

[tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex]

The x intercept is the x value when h(x) = 0

So, we have:

[tex]8 * \sqrt[3]{x - 6} + 16 = 0[/tex]

Subtract 16 from both sides

[tex]8 * \sqrt[3]{x - 6} = -16[/tex]

Divide both sides by 8

[tex]\sqrt[3]{x - 6} = -2[/tex]

Take the cube of both sides

x - 6 = -8

Add 6 to both sides

x = -2

Hence, the x-intercept of the function [tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex] is -2

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Compute the NPV for Project M if the appropriate cost of capital is 9 percent. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your final answer to 2 decimal places.) Project M Time: 0 1 2 3 4 5 Cash flow: −$2,400 $630 $760 $800 $880 $380 Should the project be accepted or rejected? multiple choice accepted rejected

Answers

The net present value is $305.73. The project should be accepted.

Net present value

Using this formula

Net present value=Cashflow÷(1+Cost of capital)^ time

Let plug in the formula

Net present value=-$2,400+ ($630÷(1+.09)^1) + ($760÷(1+.09)^2) + ($800÷(1+.09)^3) + ($880 ÷(1+.09)^4) + ($380÷(1+.09)^5)

Net present value=-$2,400+ ( $630÷(1.09)^1) + ($760÷(1.09)^2) + ($800÷(1.09)^3) + ($880 ÷(1.09)^4) + ($380÷(1.09)^5)

Net present value=-$2,400+ ($630÷1.09) + ($760÷1.1881) + ($800÷1.295029) + ($880 ÷1.41158161) + ($380÷1.538639549)

Net present value=-$2,400+ $577.98+$639.68+$617.75+623.41+$246.91

Net present value=$305.73

Based on the above calculation the project should be accepted.

Therefore the NPV is $305.73.

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If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

The probability that event B occurs is 17%.
The probability that event B occurs is 83%.
The probability that event A occurs, given that event B occurs, is 83%.
The probability that event B occurs, given that event A occurs, is 83%.

Answers

Answer:

c

Step-by-step explanation:

edge 2023

The probability that event B occurs is 83%. Therefore, option C is the correct answer.

What is the independent variable?

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables receive this name because, in an experiment, their values are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Given that, events A and B are independent, and the probability that event A occurs is 83%.

If the outcome of one event has no bearing on the fate of the other, the two events are said to be independent events. Instead, we may say that an event is considered independent if it does not affect the likelihood of another event.

Since, the events A and B are independent, if the probability that event A occurs is 83%.

Then, the probability that event B occurs is 83%.

Therefore, option C is the correct answer.

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Item 11 In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 10." Pattern A 10 15 20 25 30 Pattern B 20 30 40 50 60 Which statement is true? Every term in Pattern B is 12 the corresponding term in Pattern A. Every term in Pattern B is 10 times the corresponding term in Pattern A. Every term in Pattern B is 2 times the corresponding term in Pattern A. Every term in Pattern B is 10 more than the corresponding term in Pattern A. PLESAAAA HELP I NEED TO PASS 5 GRADE IF I FAIL I WONT PASS PLSSSSSSSSSSSSSS tysm!

Answers

The Pattern B is the twice of the Pattern A.  Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Item 11 In the table,

Pattern A uses the rule "add 5" and Pattern B uses the rule "add 10".

Pattern A   10  15  20  25  30

Pattern B   20 30 40  50  60

Then the Pattern B is the twice of the Pattern A.

Then the correct option is C.

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What is the product?
(-2x-9y²)(-4x-3)

Answers

Answer:

8x^2 +6x +36xy^2+27y^2

Step-by-step explanation:

2x * 4x-2x*-3) -9y-^2(-4x)-9y^2(-3)

An insurance data scientist is researching a certain stretch of a rural highway where drivers are never pulled over. The mile markers in the solution of the following inequality determines the conclusion of his research. Solve and interpret the compound inequality, where x represents the mile marker along the highway.

Answers

Answer:

Drivers located below mile marker 47 or at mile marker 70 or above never get pulled over.

Step-by-step explanation:

=
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded contir
equation 200e0.08 - 350 represents the situation, where t is the number of years the money has been i
how long has the money been invested? Use a calculator and round your answer to the nearest whole
O 5 years
O 7 years
O 19 years
O 22 years

Answers

Answer:

7 years

Step-by-step explanation:

Your equation should read     = 200 * e^(.08 t)  =  350

    solving for t       = 6.99 yrs     ~~ 7 years

       

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

These are Vertical angles, adjacent angles are next to each other and make up a whole angle, while vertical angles are across and equal the same thing.

X = 81 because 84 and (x + 3) are the same so 84 minus 3 is 81

Hope that helps

Convert 2 1/8 into an improper fraction.

Answers

Answer:

17/8

Step-by-step explanation:

You must type 2* 8 and add 1. That makes 17/8

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to convert 2 1/8 into an improper fraction (a fraction whose numerator is greater than its denominator).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Follow three easy steps! ^-^

These are the steps:

Multiply the whole part (2) times the denominator (8). This gives us 16.Now, add the numerator, 1: 17. This is the numerator of the new fraction.Simplify if possible.

However, we cannot simplify 17/8, so that's our answer.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW

Answers

Answer:

=> Apply law of cosine

[tex]c^2=a^2+b^2-2abcos\left(C\right)[/tex]

=> input value

[tex]z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)[/tex]

=> simplify

[tex]z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}[/tex]

=> calulcation

[tex]z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}[/tex]

=> apply rule: Distance must be greater than 0

which is about 14.51828

enter the ordered pair that is the solution to the system of equations graphed below. y= -4x+2 y=x-3

Answers

Answer:

Step-by-step explanation:

-4x + 2 = x - 3

-5x + 2 = -3

-5x = -5

x = 1

y = 1 - 3

y = -2

(1, -2)

Arianna invests $5600 in a new savings account which earns 5.4% annual interest, compounded quarterly. What will be the value of her investment after 8 years? Round to the nearest cent.

Answers

The value of her investment after 8 years is  $8,293.81.

What do interest rates mean?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving.

Given:

P= $5600

r= 5.4%

t= 8 years

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,400.00[tex](1 + 0.054/4)^{4/8}[/tex]

A = 5,400.00[tex](1 + 0.0135)^{32}[/tex]

A = $8,293.81

Hence, the value will be $8,293.81.

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Find the inverse
[tex]f(x)={e}^{3x - 1} [/tex]
Tank you for your support ​

Answers

Answer:

[tex]f^{-1}(x)=\dfrac{1}{3}(\ln x +1)[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=e^{3x-1}[/tex]

Replace f(x) with y:

[tex]\implies y=e^{3x-1}[/tex]

Take natural logs of both sides:

[tex]\implies \ln y = \ln e^{3x-1}[/tex]

Apply the Power Log Law   [tex]\ln x^n=n\ln x[/tex] :

[tex]\implies \ln y = (3x-1)\ln e[/tex]

As [tex]\ln e=1[/tex] then:

[tex]\implies \ln y = 3x-1[/tex]

Rearrange to make x the subject:

[tex]\implies 3x=\ln y +1[/tex]

[tex]\implies x=\dfrac{1}{3}(\ln y +1)[/tex]

Swap x for [tex]f^{-1}(x)[/tex]  and y for x:

[tex]\implies f^{-1}(x)=\dfrac{1}{3}(\ln x +1)[/tex]

I need help finding the values of the last boxes shown in the image.

The region R is bounded by the x-axis, the straight line in the graph and the vertical line x+2.

Answers

The volume of the region R bounded by the x-axis is: [tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}[/tex]

What is the volume of the solid revolution on the X-axis?

The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.

In the graph, the given straight line passes through two points (0,0) and (2,8).

Therefore, the equation of the straight line becomes:

[tex]\mathbf{y-y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}[/tex]

where:

(x₁, y₁) and (x₂, y₂) are two points on the straight line

Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:

[tex]\mathbf{y-0 = \dfrac{8-0}{2-0}(x-0)}[/tex]

y = 4x

Now, our region bounded by the three lines are:

y = 0 x = 2y = 4x

Similarly, the change in polar coordinates is:

x = rcosθ, y = rsinθ

where;

x² + y² = r²  and dA = rdrdθ

Now

rsinθ = 0   i.e.  r = 0 or θ = 0rcosθ = 2 i.e.   r  = 2/cosθrsinθ = 4(rcosθ)  ⇒ tan θ = 4;  θ = tan⁻¹ (4)

⇒ r = 0   to   r = 2/cosθ    θ = 0  to    θ = tan⁻¹ (4)

Then:

[tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^2 (rdr d\theta )}[/tex]

[tex]\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}[/tex]

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What is the value of x? Enter your answer in the box.

Answers

Answer:

x = 25

Step-by-step explanation:

the line QC is parallel to BR

Then

x/15 = 40/24

Then

24x = 40×15

Then

24x = 600

Then

x = 600/24

Then

x = 25

Represent "The product of 9 and a number y" mathematically.

Answers

Answer:

9y

Step-by-step explanation:

Mathematicaly, the product of 9 and a number "y" is:

9y

Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Answers

The statements that are true about the dollhouses is: 1,4,5.

True statement about dollhouse

The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).

Space inside dollhouse 1:

V = 6 (6) (5) + 1/2 (6) (6) (4)

V=180+72

V=252 inches

The space inside dollhouse 2 can be found using the equation

V = 6 (6) (5) + 1/3 (6) (6) (4)

V=180+48

V=228

The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

V1=252

V2=228

Hence:

252-228=24 inches cubed

V1 ≥V2

Therefore the statements that are true about the dollhouses is: 1,4,5.

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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3^5

Step-by-step explanation:

exponents:

1 - ( - 4 ) = 5

Therefore,

3^5

Please help quickly!!

Answers

The values of a, b and c from the given exponential function are 7, 9 and 4 respectively

Laws of indices

According to the exponential law of indices

[tex]\sqrt[c]{a^b}[/tex]

This can be written as;

[tex]\sqrt[c]{a^b}=a^{\frac{b}{c} }[/tex]


Given the exponential expression

[tex]7^\frac{9}{4}[/tex]

Compare with the original expression

a = 7, b = 9 and c = 4

Hence the values of a, b and c from the given exponential function are 7, 9 and 4 respectively

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If a cylinder has a volume of 120 cm3 and a cone has a volume of 360 cm3, is it possible that the two cones have congruent bases and congruent heights?

Answers

No, the cone and the cylinder can't have congruent heights and bases.

is it possible that the two cones have congruent bases and congruent heights?

The volume of a cylinder of radius R and height H is:

V = pi*R^2*H

And for a cone of radius R and height H is:

V = pi*R^2*H/3

So, for the same dimensions R and H, the cone has 1/3 of the volume of the cylinder.

Here, the cylinder has a volume of 120cm³ and the cone a volume of 360cm³, so the cone has 3 times the volume of the cylinder.

This means that the measures must be different, so the cone and the cylinder can't have congruent heights and bases.

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Help please!
Select the correct answer.

Answers

The answer to your problem is letter B
The answer to your problem is b

What is the maximum probability of committing a Type I error that the researcher is willing to commit? a. Critical values b. p-value c. Level of Significance d. Confidence level​

Answers

Answer:  c. Level of Significance

This is the alpha value

alpha is a greek letter with the symbol [tex]\alpha[/tex]

A type 1 error is when the researcher rejects the null, but the null was true (meaning the researcher shouldn't have rejected the null).

What the answer to this question please

Answers

[tex]V=lwh=(3)\left(\frac{4}{3} \right) \left(\frac{3}{5} \right)\\\\V=3\left(\frac{12}{15} \right)\\\\V=\frac{36}{15}=\boxed{\frac{12}{5} \text{ cm}^{2}}[/tex]

Simplify the expression

(2x^2y)3

Answers

Answer: Heyaa! ~

When simplifying (2x^2y)3 the answer will be...  6x²y

Step-by-step explanation:

    Multiply the numbers:

2x²y · 3 6x²y

Hopefully this helps you! ^^

Pls help with my math work

Answers

the equation is y=mx +b you take the two points on the graph to make the equation y2-y1 over x2- x1 that make m them plugging that back in with one of the two points on the graph with give you b :)

Write the numbers in each circle that is described by the attribute written outside the circle. Numbers in the overlapping regions must meet the requirements of each circle. Justify why you placed the numbers in the overlapping regions.

Answers

The attached image represents the completed Venn diagrams

How to complete the circles?

Diagram 1

We have:

Multiples of 3 and Multiples of 10

When the sets are populated, we have:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 10 = 10, 20, 30

Both = 30

Next, we complete the circles using the above data values

See attachment 1

Diagram 2

We have:

Multiples of 2, Multiples of 3 and Multiples of 5

When the sets are populated, we have:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Multiples of 5 = 5, 10, 15, 20, 25, 30

Multiples of 2 and 3 = 6, 12, 18, 24 and 30

Multiples of 2 and 5 = 10, 20 and 30

Multiples of 3 and 5 = 15 and 30

All = 30

Next, we complete the circles using the above data values

See attachment 2

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please help me with thiss

Answers

okay be t gowns won wkw89 wow

Answer:

the fourth option is correct

Step-by-step explanation:

the first equation represents that the cost of 6 bananas is the same as the cost of nine apples. therefore, y is the cost of a single banana and x is the cost of a single apple. the second equation represents the situation of you buying 4 bananas and 2 apples for $8. If x and y represent the cost of each fruit, then the point (x,y) = (1,1.5) means that x, the cost of an apple, is $1.00 and that y, the cost of a banana, is $1.50.

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17sked out ofBotanic Choice signs an agreement on January 1, 2019, to lease equipment to Famous Furniture. Thefollowing information relates to this agreement.. The term of the non-cancelable lease is 4 years with no renewal option. The equipment has an estimatedeconomic life of 6 years. The fair value of the equipment on January 1, 2019, is 40,000. The asset will revert to the lessor at the end of the lease the term, at which time the asset is expected tohave a residual value of 6,000, none of which is guaranteed. The agreement requires equal annual rental payments of 9,538.39 to the lessor, beginning onDecember 31, 2019. The lessee's implicit rate is 8 %. Present value of an ordinary annuity of $1 for number of periods = 4,interest 8% equals 3.31213.What is the balance of lease liability (noncurrent) on December 31, 2019?Select one:a. 31.592.39b. 17,009.5124.581.39d. 22053.99 please help meeeee I really need it What accusation was given by President Bush as a reason for invading Iraq but later proved false?A. The United States would be joined by France and Saudi Arabia, so victory would be quick.B. Saddam Hussein had weapons of mass destruction.C. Iraq had oil that belonged to the United States and Saddam Hussein was refusing to release it.D. Osama bin Laden was hiding in Iraq. On Monday the temperature was -7 degrees Fahrenheit in Akron Ohio on Tuesday the temperature was colder than Monday what is a possible temperature in degrees Fahrenheit for Tuesday Def transfer(bank, log_in, usera, userb, amount): ''' in this function, you will try to make a transfer between two user accounts. bank is a dictionary where the key is the username and the value is the user's account balance. log_in is a dictionary where the key is the username and the value is the user's log-in status. amount is the amount to be transferred between user accounts (usera and userb). amount is always positive. what you will do: - deduct the given amount from usera and add it to userb, which makes a transfer. - you should consider some following cases: - usera must be in the bank and his/her log-in status in log_in must be true. - userb must be in log_in, regardless of log-in status. userb can be absent in the bank. - no user can have a negative amount in their account. he/she must have a positive or zero balance. return true if a transfer is made. for example: Which three factors are used to calculate gravitational potential energy?A. The height of an objectJuryB. The mass of an objectC. The chemical formula for an objectD. The velocity of an objectE. The acceleration of an object due to gravityF. The density of an object Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm. What figure is graphed from the following points? Graph the figure. (0, 2) (2, 7) (4, 2) (6, 7) can i have help with this According to us studies, approximately what portion of serious adverse events can be linked to miscommunication between caregivers when patients are transferred or handed over?. Please help me and I need help with my 2 Ixls if someone can please help me it will make me happy Juliet is often portrayed on a balcony because:A. the stage direction says that she enters from "above."OB. Shakespeare titled the play "The Balcony Scene."C. Romeo says that he sees her on a balcony.D. the stage direction says that she enters from "a balcony." Question 1 with 1 blank"A m lo que me prende es 1 of 1 el piano".Question 2 with 1 blank"La 1 of 1 desde que estaba en el vientre de mi mam".Question 3 with 1 blank"Yo empec a los 1 of 1 aos a tocar el piano..."Question 4 with 1 blank"Y entonces yo le pregunt a ella si deseaba estudiar algn 1 of 1".Question 5 with 1 blank"Yo creo que es de los instrumentos ms, ms 1 of 1".Question 6 with 1 blank"Es imponente tener que 1 of 1 frente a un instrumento tan grande". What is the stigma towards people infected with hiv/aids in russia?. During the first few weeks of life, an infant may show the emotion of ________; but it is rare that he or she may show the emotion of __________ during the first year of life. which is faster: drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second Speech or writing that includes a claim with evidence and a recognition of the credibility of the opposing viewpoints. What are the main Spanish punctuation rules? The weight of a body is 147N. what is its mass? Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?