Find the solutions to the following quadratic equation negative 3X squared plus 4X plus one equals zero (-3x^2 + 4x + 1 = 0)

Answer:

The coordinates of point B is;

Explanation:

Given the attached image;

The coordinate of point A is;

The coordinate of point C is;

If AB is 1/5 of AC;

So; let (x,y) represent the coordinates of B;

The same applies to y coordinate;

So;

Therefore, the coordinates of point B is;

Given

PR and SU are parallel lines.

To find the pair of corressponding angles.

Explanation:

From, the figure,

Since PR and SU are parallel and the corressponding angles lie in the same corner.

Then,

Hence, the answer is Option c).

Markup (or price spread) is the difference between the selling price of a good or service and cost. It is often expressed as a percentage over the cost.

Given:

cost = $9.00

percent markup = 30%

Let the selling price be x

The formula form percent markup is:

Substituting we have;

Solving for x:

Hence, the selling price is $11.7

Answer: $11.7

You have the following expression:

(5x + 7) - (x + 2)

in order to simplify the previous expression, eliminate parenthesis and take into account that if a parenthesis is preceeded by a minus sign, when you elminate th eparenthesis the sign inside change to the opposite, just as follow:

(5x + 7) - (x + 2) =

5x + 7 - x - 2 =

5x - x + 7 - 2 =

4x + 5

Hence, the simplified expression is 4x + 5

The graphs of both inequalities is shown below;

Please note that the red region with the broken lines represents y < 4x - 6

The blue blue region with the broken lines represent y > 4x + 2

Observe carefully that both graphs run parallel to each other and there is no point of intersection. This means there is no values of x and y that can satisfy both inequalities.

Simply put, there are no solutions to the system of inequalities shown.

The answer is

A: TRUE

Hello there. To answer this question, we need to remember some properties in simple and coumpound interests investments.

For simple interest, the balance will be equal to P(1 + rt), in which P is the amount invested, r is the interest rate in years and t is the time (can be either years of months).

For compound interest, the balance will be equal to P(1 + r)^t.

So, using the values P = $19,000.00 and the time is equal to 30 years, we have for:

a) 7% simple interest

It means that r = 7% and then we can use the first formula

19000(1 + 0.07*30)

We converted the rate to decimals above

Multiplying the values, we have:

19000(1 + 2.1)

19000*3.1

$58.900

b) 7% compounded monthly

First, we need to convert the time from years to months, multiplying by 12

30*12 = 360 months

Using the second formula, we have:

19000(1 + 0.07)^(360)

Sum the values into parenthesis

19000*1.07^(360)

Solution

Given:

2x - 4y = -2

3x + 2y = 3

Substitution method

Graphical method:

Plot the graph of the two equations on the same graph

The point of intersection of the two graphs gives the solution to the system of equations

The point of intersection is (0.5, 0.75)

Which in fraction gives (1/2, 3/4)

Thus. x = 1/2, y= 3/4

We want to know the total of blankets that Greg's collected.

As there are 38 people in the group, and they each gave 2 blankets, they brough a total of 79 blankets.

As they got 29 asking door-to-door, and got another 52, we will sum the values, as shown:

This means that the Greg group collected a total of 160 blankets, instead of 121, and the Greg statement is false.

Answer:  73.1%

Step-by-step explanation:

620/453 = 73.1%

Pls check so you can see if correct

Given the 3° degree function:

Graph:

Using the binomial distribution, the probabilities are given by the image at the end of the answer.

The probability mass function is given as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the function are described as follows:

In the context of this problem, the values of these parameters are given as follows:

To complete the table, we find each probability, as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.46)^{0}.(0.54)^{8} = 0.0072[/tex]

[tex]P(X = 1) = C_{8,1}.(0.46)^{1}.(0.54)^{7} = 0.0493[/tex]

[tex]P(X = 2) = C_{8,2}.(0.46)^{2}.(0.54)^{6} = 0.1469[/tex]

[tex]P(X = 3) = C_{8,3}.(0.46)^{3}.(0.54)^{5} = 0.2503[/tex]

[tex]P(X = 4) = C_{8,4}.(0.46)^{4}.(0.54)^{4} = 0.2665[/tex]

[tex]P(X = 5) = C_{8,5}.(0.46)^{5}.(0.54)^{3} = 0.1816[/tex]

[tex]P(X = 6) = C_{8,6}.(0.46)^{6}.(0.54)^{2} = 0.0774[/tex]

[tex]P(X = 7) = C_{8,7}.(0.46)^{7}.(0.54)^{1} = 0.0188[/tex]

[tex]P(X = 8) = C_{8,8}.(0.46)^{8}.(0.54)^{0} = 0.0020[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Answer:

B.) 0.08

D.) 19.20

Explanation:

The cost of the meal before tax = $240

Percentage added as tax = 8%

Therefore, the total cost of the bill after the 8% tax is added to the bill is:

If we simplify further, we have:

It is predicted that sales over time can be approximated by the function:

It is required to find the predicted sales in 15 years to the nearest whole number.

To do this, substitute t=15 into the given function:

Evaluate and round to the nearest whole number as required:

The sales in 15 years is about 3708.

If halved a recipe that calls for 5 c chicken broth, then you would end up using 2.5 c chicken broth (that is two and half c of chicken broth).

The solution of the given equation is [tex]-3+\sqrt{6}[/tex] and [tex]-3-\sqrt{6}[/tex].

Given equation:-

[tex](x+3)^2=6[/tex]

We have to find the value of x by solving the given equation.

We can rewrite the given equation as:-

[tex]x^2+6x+9=6\\x^2+6x+3=0[/tex]

We can solve the the quadratic equation by finding the discriminant.

[tex]x = \frac{-6+-\sqrt{6^2-4*1*3} }{2*1}[/tex]

[tex]x = \frac{-6+-\sqrt{36-12} }{2}[/tex]

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

Hence, the values of x are [tex]-3+\sqrt{6}[/tex] and [tex]-3-\sqrt{6}[/tex].

Discriminant

In arithmetic, a polynomial's discriminant is a function of the polynomial's coefficients.

Quadratic equation

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

To learn more about quadratic equation, here:-

https://brainly.com/question/17177510

#SPJ1

solve for y

then, solve for x

x = 3

y = -2

To calculate which value in Celsius the temperature of 5 Fº equates to, we first need to rewrite the expression isolating the "C" variable on the left side.

We now need to replace F by 5.

The temperature is -15 degrees in Celsius.

SOLUTION

A.

To solve this question, we will use the compound interest formula.

Which is:

The continuous decay rate is 0.771%

B.

Using the same formula:

The population of the city in the year 2021 is 97,972.

C.

We will use the same formula:

The given function can be represented f(x) and g(x) as below

What are functions?

A function from X to Y is an assign of each constituent of Y to each variable of X. The set X is known as the function's scope, while the set Y is known as the function's image domain. The notation f: XY denotes a function, its domain, and its codomain, and the value of a function f at an element x of X, indicated by f(x), is known as the image of x under f, or the value of f applied to the argument x. When defining a function, the domains and codomain are not often explicitly specified, and without performing some (complicated) calculation, one may only know that perhaps the domain is included in a larger package.

The functions are

(a) f(x) = 3x+2 and g(x) = |x|

so, H(x) = f(g(x)) = |3x+2|

(b)  f(x) = 5x+4 and g(x) = √√√√x

so, H(x) = f(g(x)) = √√√√5x+4

To know more about functions, click on the link

https://brainly.com/question/10439235

#SPJ9

The expression of the mathematical statement is a ≤ 10

From the question, we have the following mathematical statement that can be used in our computation:

a is less than or equal to 10

The key statement less than or equal to in mathematics and algebra can be represented using the following symbol

less than or equal to ⇒ ≤

So, we have the following representation

a is less than or equal to 10 ⇒ a is ≤ 10

This implies that we rewrite the above expression as follows

So, we have

a is less than or equal to 10 ⇒ a ≤ 10

The above expression cannot be further simplified

So, we leave it like that

Hence, the mathematical statement when expressed as an expression is a ≤ 10

Read more about word problems at

https://brainly.com/question/29223808

#SPJ1

Given the function defined as:

The function can further be expressed as:

Find the LCM of the function;

If f(x) = 0, then the value of x is calculated as:

Divide both sides of the equation by -7:

Therefore the value of x if f(x) = 0 is 34/7

For every 5.75 feet, here is one post.

Determine the number of posts in a wall of 166.75 feet.

So 29 posts needed for the wall.

Given: A regular pentagonal prism with base edge 8cm and height 20 cm .

Find: wrap need to cover the box.

Explanation: for to find the length of wrap we need to find the area of regular pentagonal prism .

where a=base edge=8cm and h =height=20 cm

Final answer: the required answer is 1020 square centimeter.

Answer:

C. 1,020 [tex]cm^{2}[/tex]

Hope this helps!

Step-by-step explanation:

For the two given functions, the compositions are:

Here we have two functions:

f(x) = √x

g(x) = 2x + 3

Now we want to get the compositions:

(f o g)(x) = f( g(x))

So here we just need to evaluate f(x) in g(x), we will get:

(f o g)(x) = √g(x) = √(2x + 3)

The other composition is:

(g o f)(x) = g(f(x)) = 2*f(x) + 3 = 2*√x + 3

Learn more about compositions:

https://brainly.com/question/10687170

#SPJ1

Imagine the following, we will place a tube under the snow. So we have the following

After one hour, the tube will be filled with 1 inch of snow.

After 2 hours, we will have one inch more

So, one way to calculate the amount of snow after a specific amount of hours, is simply multiplying the hours by the rate at which the height of the snow changes. IN here, the height changes 1 inch per hour. So after x hours the height of the snow would be

We want to find x, such that the height of the snow is 12.

So we have the equation

which gives us that in 12 hours we will have 12 inches of snow.

The equation that represents the relationship between x and y in the table is (L.) y = -5x + 3.

In mathematics, an equation is a relationship between two expressions that are expressed as equality on each side of the equal to sign.

Given in the table is the relationship between x and y respectively.

Substitute the values of x in the respective equations to find the value of y, the resulting value which matches the value of y in the table determines the correct equation.

J. y = -5x -27

⇒ For x = -3, y = -5(-3) - 27 = 15 -27 = -12 ≠ 18

K. y = -5x + 18

⇒ For x = -3, y = -5(-3) + 18 = 15 + 18 = 33 ≠ 18

L. y = -5x + 3

⇒ For x = -3, y = -5(-3) + 3 = 15 + 3 = 18 ≈ 18

For x = -1, y = -5(-1) + 3 = 5 + 3 = 8

For x = 2, y = -5(2) + 3 = -10 + 3 = -7

For x = 6, y = -5(6) + 3 = -30 + 3 = -27

All the values of x and y in the table satisfy the equation y = -5x + 3. Hence this is the required equation that represents the relationship.

To learn more about equations visit:

https://brainly.com/question/28880795

#SPJ13

The total social security and medicade for the first quarter of the year is $17,781.66.

The computation will be:

Gross earning per week = 15 * 365 + 9 * 385

= $8,940 per week

Here, the number of weeks is 13 in each quarter:

Gross earning =$8,940 * 13

= $116,220

Social security tax = $116,220 * 6.2%

= $7,205.64

Medicare tax = $116,220 * 1.45%

= $1,685.19

Total = $7,205.64 + $1,685.19

= $8,890.83

Now, to involve the employer's share it is required to multiply the total tax by 2

Therefore,

Total tax remitted to IRS = $8,890.83 * 2

= $17,781.66

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

The combined volume is:

The volume of the rectangular prism is:

The volume of a cylinder is:

Then, the combined volume is:

Turn into inches:

Then, the volume in inches is 12,223,047 cubic inches (200.3 cubic meters)

Let the point estimate be x and the margin of error be e.

Then, we must have

Add the equation (1) and equation(2) to eliminate the variable e, we have

Subtracting equation (2) from equation(1) to eliminate the variable x, we have

Hence, the point estimate is $50233 and the margin of error is $392, The Third option

We have two points known to be ( S ) and ( T ). A line connects two points.

The minimum number of points that are required to form a straight line in a cartesian coordinate system are ( two ).

The minimum number of points that are required to form a plane in a cartesian coordinate system are ( three ) which will form two vectors i.e it requires two lines formed with a common point.

Two planes always intersect at exactly one point with direction normal to the two plane normal vectors.

Hence, the only possible postulate that relates two points is the formation of a line between two points; hence, the correct postulate for the given statement is: