4x^2 + 4x =3
help pls

4x^2 + 4x =3 Help Pls

Answers

Answer 1

Answer:

x = .5, - 1.5

Step-by-step explanation:

4x^2 + 4x =3

To solve for x, we can complete the square.

4 ( x^2 + x) = 3

x^2 + x = 3/4

Take the coefficient of x, divide by 2, and square.

(1/2)^2

Then add to each side.

x^2 + x + 1/4= 3/4 +1/4

(x+1/2) ^2 = 1

Take the square root of each side.

x+1/2 = ±1

x = ±1 -1/2

x = 1-1/2  or -1-1/2

x = 1/2, -3/2

x = .5, - 1.5

Answer 2

Answer:

x = 1/2   or   -3/2

Step-by-step explanation:

Rewrite in Standard Form:

4x²+4x=3 ==>  4x²+4x-3=0

Identify:  a=4   b=4   c= -3

Quadratic Formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac}}{2a} or \frac{-b-\sqrt{b^2-4ac}}{2a}\\ \\=\frac{-4+\sqrt{4^2-4(4)(-3)}}{2(4)} or \frac{-4-\sqrt{4^2-4(4)(-3)}}{2(4)}\\\\=\frac{-4+\sqrt{16+48}}{8} or \frac{-4-\sqrt{16+48}}{8}\\\\=\frac{-4+\sqrt{64}}{8} or \frac{-4-\sqrt{64}}{8}\\\\=\frac{-4+8}{8} or \frac{-4-8}{8}\\\\=\frac{4}{8} or \frac{-12}{8}\\\\=\frac{1}{2} or -\frac{3}{2}[/tex]


Related Questions

Can you please help me with this question

Answers

Answer: I can’t read it

Step-by-step explanation:

Malik deposited $2,439 in an account earning 7% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?

Answers

Answer: $548.00

Step-by-step explanation: In order to find out how much interest Malik will earn in 3 years, we need to first calculate the amount of interest earned each year. We can do this by multiplying the initial amount he deposited by the interest rate, which is 7%. So, the amount of interest earned each year is $2,439 * 7% = $169.73.

Since the interest is compounded annually, this means that the amount of interest earned in the first year is added to the initial deposit to form the new balance. This new balance will then earn interest in the second year, and so on.

Therefore, the amount of interest earned in the second year is 7% of the new balance, which is $2,439 + $169.73 = $2,608.73. So, the interest earned in the second year is $2,608.73 * 7% = $182.61.

In the third year, the interest is again compounded, so the new balance is $2,608.73 + $182.61 = $2,791.34. The interest earned in the third year is 7% of this new balance, which is $2,791.34 * 7% = $196.48.

In total, Malik will earn $169.73 + $182.61 + $196.48 = $548.82 in interest over 3 years. To the nearest cent, this is $548.00.

The coldest temperature ever recorded in Mathville was - 16 deg * F This happened on January 30th, 1978. The normal low for that day is 19 deg * F How much colder was the record temperature than the normal ow temperature?

Answers

It was recorded 35°F colder temperature than the normal ow temperature that year in January 30th, 1978.

Explain the term temperature change?Diabatic temperature change is the term used to describe a temperature shift brought on by a heat exchange between two bodies. The term "adiabatic temperature change" refers to another highly significant method of altering the temperature of air. Air undergoes adiabatic temperature change without the addition or subtraction of energy.

For the stated data-

Coldest temperature : -16°F

Normal low: 19°F

Thus, the difference in the temperature-

Difference = Normal low - Coldest temperature

Difference = 19°F - (-16°F)

Difference = 35°F

Thus, it was recorded 35°F colder temperature than the normal ow temperature that year in January 30th, 1978.

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Consider a function f(x) = |x|. A second function g(x) is the result of translating f(x) by 5 units in
the negative y-direction (downward), and 3 units in the positive x-direction (to the right). Write the equation of g(x)

Please Help!!!

Answers

The translated function g(x) =  | x - 3 | - 5 shifted 3 units along the positive x-axis and 5 units along the negative y-axis.

What are some transformations of functions?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A parent function f(x) = | x |.

Now the result of translating f(x) by 5 units in the negative y-direction and 3 units in the positive x-direction g(x) = | x - 3 | - 5.

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an equation for the direct variation function of the points (-8, -6) and (12, 9)

Answers

Answer:

Your answer is [tex]y=0.75x[/tex] or [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

Using the formula [tex]\frac{y1-y2}{x2-x1}[/tex] we get [tex]\frac{3}{4}[/tex]

Using the formula [tex]y=kx[/tex] we get [tex]y=\frac{3}{4} x[/tex]

A rectangle has a length of 72cm and a width of 56cm. A second rectangle has the same area as this one, but its width is 21cm. What is the constant of variation.

Answers

192 cm is the length of rectangle.

What is rectangle?

An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.

                     There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.

Area of rectangle  = 72 * 56

                               = 4032 cm²

the second rectangle's area is same as first rectangle  .

             4032 = x * 21

               x = 4032/21

                 x = 192 cm

     

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What is the slope of the line with equation 2x + 3y = 10?

Answers

Answer:

Step-by-step explanation:

-2/3

Find the HCF of 2, 4 and 4/5.
(A) 1/20 (B) 1/40 (C) 20 (D) 15

Answers

Answer:

1/20

Step-by-step explanation:

You can find the HCF (Highest Common Factor), also known as GCF, by dividing the numbers by the list of answers. And, if they all come out as whole numbers, then the answer you chose will be the answer. But, if there is another answer that also comes out as whole numbers for all of them, we choose the biggest one (HCF):

2 ÷ 1/20 = 40

4 ÷ 1/20 = 80

4/5 ÷ 1/20 = 16

So, 1/20 is definitely one of the answers, but we should check the other ones too:

2 ÷ 1/40 = 80

4 ÷ 1/40 = 160

4/5 ÷ 1/40 = 32

So, even though we also got whole numbers for this one, it isn't the answer because 1/20 is bigger than 1/40 so far. Let's try the last two answers:

2 ÷ 20 = 0.1

So, we already got our answer. We don't need to check the rest of the numbers, because the first one is already not a whole number. Let's try the final answer:

2 ÷ 15 = 0.13333333

This is not the right one either. So, our answer is 1/20 because it is the biggest one that came out as all whole numbers.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

An investor needs ​$18000 in 10 years.
​(a) What amount should be deposited in a fund at the end of each quarter at 9​% compounded quarterly so that there will be enough money in the​ fund?
​(b) Find the​ investor's quarterly deposit if the money is deposited at ​4.5% compounded quarterly.

Answers

(a) Let P be the amount deposited at the end of each quarter. Then, the future value F after n quarters is given by

F = P(1 + 0.09)^n

Given that there must be enough money in the fund, we can set F = A, the amount required. Therefore,

A = P(1 + 0.09)^n

Solving for P,

P = A(1 + 0.09)^-n

(b) Let P be the amount deposited at the end of each quarter. Then, the future value F after n quarters is given by

F = P(1 + 0.045)^n

Given that there must be enough money in the fund, we can set F = A, the amount required. Therefore,

A = P(1 + 0.045)^n

Solving for P,

P = A(1 + 0.045)^-n

The volume of a cubical tank is 8,000 m³. Find the length of that tank.​

Answers

Answer:

20m

Step-by-step explanation:

Volume of Cube:   s³ = 8000m³

                               ∛s³ = ∛8000m³

                               s = 20m

Answer:

20

Step-by-step explanation:

We know that,

volume of cube = l*l*l

8000 = l*l*l

l = 3√8000

l= 20

Answer

Find the product.
(wz + 8)³ =

Answers

We are given:

Find the product.

[tex](wz+8)^3[/tex]

Solution:

[tex]w^3z^3+24w^2z^2+192wz+512[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

What is x when x=2-4+5

Answers

X would be 7 in this situation

Michael averages 12 points in each basketball game. His team plays 2 games each week. About how many points will he score in 12 weeks? Explain your reasoning.

Answers

Michael will score about 288 points in 12 weeks. This is because he scores 12 points in each game and there are 2 games each week, so he will score 24 points in each week. Multiplying 24 points by 12 weeks, Michael will score 288 points.

Let y be differentiable with respect to x. For the relation x³ + y³ = 9xy, find dy/dx by
implicit differentiation

Answers

Answer: (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Step-by-step explanation: To find dy/dx for the relation x³ + y³ = 9xy, we can use the chain rule. The chain rule states that if y is a function of x and x is a function of t, then the derivative of y with respect to t is equal to the derivative of y with respect to x times the derivative of x with respect to t.

In this case, we are given that y is a function of x and we want to find the derivative of y with respect to x. To do this, we can rewrite the given equation as follows:

x³ + y³ = 9xy

y³ = 9xy - x³

We can then take the derivative of both sides of the equation with respect to x to find dy/dx as follows:

3y² * dy/dx = 9y + 9x * dy/dx - 3x² * dy/dx

3y² * dy/dx = (9y + 9x * dy/dx) - 3x² * dy/dx

0 = (9y + 9x * dy/dx) - (3y² * dy/dx + 3x² * dy/dx)

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

We can then solve this equation for dy/dx as follows:

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

Therefore, the derivative of y with respect to x for the given equation is equal to (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Answer

[tex]\frac{dy}{dx}[/tex]

Step-by-step explanation:

Your welcome ;)

4. Ms. Wagner painted the outside of the patio
door to her house, as shown below. She did
not paint the window or the doorknob.

Answers

Answer: 18 ft ^2

Step-by-step explanation:

Which of the following sentences uses homophones incorrectly?

a
The baker is required to knead the dough every hour.

b
The celebrity thought it would be best to have a plain plane

c
The artist erased the whole drawing and made a large hole.

d
The principle of the school makes decisions based on principals.

Help plss

Answers

Answer:

Answer: D. The principle of the school makes decisions based on principals.

can sum1 help i got no teachers near

Answers

Answer:

Option C : x-6

Step-by-step explanation:

since tina’s brother height is X we start there

x

And tine is 6 less than her bother so we subtract 6

x-6

and that’s it

Hopes this helps please mark brainliest

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.

Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - r

A. If the daily wage keeps doubling, what would your income be on day 31? Give your answer in dollars NOT pennies.
Income on day 31 = $ __________

B. If the daily wage keeps doubling, what will your total income be for working 31 days? Give your answer in dollars NOT pennies.
Total Income for working 31 days = $ _________

Answers

The income on day 31 would be $21,1474,836.48 and the total income for working 31 days would be $42,949,672.94.

The company pays one penny on the first day, 2 cents on the second day, 4 cents on the third day, and so on.

This situation represents the geometry sequence below as

0.02, 0.04, 0.08,..

Here first-term a₁ = 0.02

And common ratio r = 0.04/0.02 = 2

The income on day 31 would be:

⇒ a₁ (r)ⁿ⁻¹

⇒ 0.02 (2)³¹⁻¹

⇒ 0.02 (2)³⁰

⇒ 21,1474,836.48

Total income for working 31 days would be:

⇒ a₁ (1-rⁿ) / 1 - r

⇒ 0.02 (1-2³¹) / (1 - 2)

⇒ 42,949,672.94

Thus, the income on day 31 would be $21,1474,836.48 and the total income for working 31 days would be $42,949,672.94.

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Please help asap! thank you

Find the quotient. Round to the hundredths' place when necessary. ​

Answers

Answer:

17: 0.65

18: 0.05

19: 0.27

20: 1840

Step-by-step explanation:

How do you line up 14.72 ×36.8=

Answers

14.72
36.80

why is this on college level

Serena estimates that she can paint 60 square feet of wall space every half-hour.write an equation for the relationship with time in hours as the independent variable.can Serena paint 400 square feet of wall space in 3.5 hours?why or why not?

Answers

Answer:x=3.5 x 60

the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet

Explain why the equation cos(x) = x has at least 1 solution

Answers

There exists a point c ∈ [0, 2π], therefore, f(c) =0, Hence cos x = x has at least one solution.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

cos(x) = x    (1)

For the given interval [0, 2π],

By intermediate theorem, for c ∈ [0, 2π], for which f(c) =0

Or we can say that, at x = 0, f(0) = 0

Therefore, cos(x) has at least one solution,  in the interval [0, 2π]

So, given equation cos(x) = x has one solution.

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The first Christmas bell rings every six minutes. The second Christmas bell rings every seven minutes. The third Christmas bell rings every hour. If all the bells ring at 12 noon, at what time will they next all ring together?

Answers

Answer:7 PM is whenthey all ring together 

Step-by-step explanation:

Graph the function (fx) = 2√ + 3 on the coordinate plane

Answers

The graph of the function y = 2√x + 6 is plotted and attached.

What is the general equation of a Straight line? What are the points of intersection of the graph of y = x and y = √x? Which curve is more diverged?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The points of intersection of the graph of y = x and y = √x are (0, 0) and (1, 1). The curve y = √x diverges more.

We have the following equation -

y = 2√x + 6

Given is the following equation as -

y = 2√x + 6

Refer to the graph of the function attached.

Therefore, the graph of the function y = 2√x + 6 is plotted and attached.

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Last week, a dairy farm produced p kg of cheese. The dairy farm also produced 24 kg more yoghurt than cheese and 3 times as much ice cream as cheese. The dairy farm produced more kilograms of ice cream than yoghurt last week. Write and solve an inequality to work out the possible values of p.​

Answers

Answer:

4w>39+w

3w>39

w>13

Step-by-step explanation:

The function f(x) = –x3 – 7x2 – 7x + 15 has zeros located at –5, –3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.

Answers

The zeros of the function f(x) = -x³ - 7x² - 7x + 15 are -5, -3 and 1

Zeros of a Function

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

To verify if the zeros are for the function, we simply need to plug the values in for x and solve.

f(x) = -x³ - 7x² - 7x + 15

f(-5) = -5³ - 7(-5)² - 7(-5) + 15

f(-5) = 0

When x = - 3

f(-3) = -3³ - 7(-3)² -7(-3) + 15

f(-3) = 0

when x = 1

f(1) = 1³ -7(1) - 7(1) + 15

f(1) = 0

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3. Find the length of the bridge.
20 ft
160 ft
32.5 ft

Answers

The answer is 32.5 your welcome

Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.

Answers

The true statement about a function and its inverse is, the range of both f(x) and f⁻¹(x) is all real numbers.

What is an inverse function?

The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.

f⁻¹ isn't the reciprocal of f. The composition of the function f and the reciprocal function f⁻¹ gives the domain value of x.

The true statement about a function and its inverse is,

The range of both f(x) and f⁻¹(x) is all real numbers.

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stop charging me immediately

Answers

Answer:

what do you mean

Step-by-step explanation:

A ball is thrown from a height of 3 meters with an initial downward velocity of 5 m/s The ball's height h (in meters) after t seconds is given by the following. how long after the ball is thrown does it hit the ground

Answers

The ball hits the ground at a time of 1.433 seconds.

How to calculate the time until the ball hits the ground

In this problem we have the case of a ball that experiments a free fall, that is, an uniform accelerated motion due to gravity. The position of the ball in time is described by a quadratic equation:

y = y' + v' · t + 0.5 · g · t²

Where:

y' - Initial position, in meters.v' - Initial speed, in meters per second. t - Time, in seconds. g - Gravitational acceleration, in meters per square second.y - Final position, in meters.

If we know that y' = 3 m, v' = 5 m / s, g = - 9.807 m / s², y = 0 m, then the time of the ball until it hits the ground is:

0 = 3 + 5 · t - 4.904 · t²

Then, by the quadratic formula:

t = - v' / g ± (1 / g) · √[v'² - 2 · g · y']

t = - 5 / (- 9.807) ± [1 / (- 9.807)] · [5² - 2 · (- 9.807) · 3]

t₁ = 1.433 s. or t₂ = - 0.424 s.

The hitting time of the ball is 1.433 seconds.

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Almost everyone in the city already has broadband, so any potential new company would have to engage In a price war with the existing companies and would be unlikely to cover its costs for years, if ever. Oligopoly Monopolistic Competition Monopoly The government has granted a patent to a drug company for an experimental AIDS drug. That company is the only firm permitted to sell the drug certain stars, like betelgeuse, have a lower surface temperature than the sun and yet are more luminous. how do these stars produce so much more energy than the sun? a company is planning a campaign and their goals for the campaign are for it to be inexpensive and provide them with direct interaction their audience. which type of media should be used to accomplish their goals? A suit is on sale for $475, which is 76% of the regular price.What is the regular price? in the traditional approach to managing contractual relationships, blank is limited due to fear of reprisal and lack of continuous improvement opportunity. Netflux is selling for $105 a share. A Netflux call option with one month until expiration and an exercise price of $116 sells for $2.10 while a put with the same strike and expiration sells for $12.22.a. What is the market price of a zero-coupon bond with face value $116 and 1-month maturity? Could someone help me with this 4) Which function shows a decay rate of 5%? A) f(x) = 100(-5) B) f(x) = 105(0.05) C) f(x) = 100(0.95) D) f(x) = 100(1.05 E) f(x) = 100(5) a company restricts the personal use of company vehicles by written policy to commuting between work and home. an employee commutes 15 miles each way for 14 days during one month. when the employee qualifies for the commuting method, calculate the value of the employee's personal use of the vehicle included in the employee's income. Which is the meaning of colossal as the term is used in this excerpt ? The great gatsby throughout most of u.s. history, competitive parties have always existed at the national level. how does texas compare? Jeriel has a smart phone data plan that costs $45 per month that includes 6 GB of data, but will charge an extra $15 per GB over the included amount. How much would Jeriel have to pay in a month where he used 2 GB over the limit? How much would Jeriel have to pay in a month where he used went over by a GB? Water Park A water park charges $12 for admission and $5 to park your vehicle.Write an inequality that represents the possible number of people that could go for$50. Solve the inequality. What is the maximum number of people that could go? a student is performing experiments on a particular substance. which statement is a observation of a chemical property of the substance? what should the nurse include when teaching a client diagnosed with grave's disease who is scheduled to receive radioactive iodine?