Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value. x^2=4(x-9)

The function h(x) is defined as:

We can find the value of the h(x) at different values of x by substituting the value of x into the function

When x = -2:

When x =-1:

When x =1:

T

In order to calculate the result of this division, first let's convert the mixed number 1 1/3 into a fraction:

Now, calculating the division, we have:

So the result is 6.

Finance charge = average daily balance * interest rate * time period

Given:

average daily balance of $268.42 ​

interest = 3% = 0.03

Time period = 1 month

so,

Finance charge = 268.42 * 0.03 * 1 = $8.0526

so, the answer is option B) $8.05

The interest that would be paid on the loan is $1,505.35.

Interest is the amount that a debtor has to pay the creditor for use of her funds. The interest that is paid on a loan depends on the interest rate, duration of the loan and the amount borrowed.

Th amount of interest can be determined using the simple interest formula.

Interest = loan amount x interest rate x duration of the loan

Interest = $35,500 x 10.25% x (151 / 365)

Interest = $35,500 x 0.1025 x 0.41370

Interest = $1,505.35

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Answer:

11x+10

Step-by-step explanation:

Distribute the GCF:

3(x+2) = 3x+6

4(2x+1) = 8x+4

(3x+6)+(8x+4)

Add the expressions:

(3x+6)+(8x+4) = 11x+10

Hope that helps

Answer:

g(x) = -|x+12|

Step-by-step explanation:

Answer:

Hold the point (2,1) and drag it down until it is at the point (2, -1).

Explanation:

Given the graph of y=f(x).

If we have:

This is a Vertical Translation Down by 2 units.

This means we shift the graph of y=f(x) down by 2 units.

From the graph:

In y=f(x), we have a point (2,1).

Hold the point and drag it down until it is at the point (2, -1).

The estimated quotient of the division is 83.

In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").

Now let us divide 4234 by 51.

4234 ÷ 51 = 83.019...

Therefore the quotient is 83

4234 divided by 51 gives quotient 83 and remainder 1 .

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Recall that the graph of a function h(x), translated n units to the right is represented by the function

Therefore, y=f(x-2) represents the graph of f(x) translated 2 units to the right.

Answer:

Then the graph of y=f(x-2) may be obtained by a horizontal shift of the graph of f to the right a distance of 2 units.

Answer: 120 degrees

Step-by-step explanation:

Answer:

minimum distance between the boy and the wave is 1.2 m

Step-by-step explanation:

Use v = u + at, with v as 0, to find how long it takes for the wave to decelerate to 0 m/s.

0 = 11.6 - 1.6t

t = 7.25s

Then find how far the wave has traveled by substituting in s = ut + 1/2 at²

s = 11.6 * 7.25 + 1/2(-1.6)(7.25²)

s = 42.05m

Find out how far the he has traveled in the same time

s = vt + 30 (since he was 30m ahead)

s = 2*7.25 + 30

s = 44.5m

The boy has traveled a greater distance so the wave does not reach by the time it decelerates to 0m/s

Find the time at which the wave reaches a speed of 2m/s.

v = u + at

2 = 11.6 - 1.6t

t = 6s

Now find the distance traveled by the wave in that time

s = ut + 1/2 at²

s = (11.6*6) + 1/2(-1.6)(6²)

s = 40.8m

Now find the distance traveled by the boy in that same time

s = vt + 30

s = 2*6 + 30

s = 42m

Find the difference, which is the minimum separation

42 - 40.8 = 1.2m

Answer:

[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}[/tex]

[tex]\large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.[/tex]

[tex]\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}[/tex]

[tex]\textsf{when added together. Let's create an equation to find x.}[/tex]

[tex]\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}[/tex]

[tex]\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}[/tex]

[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]

[tex]\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}[/tex]

[tex]\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}[/tex]

[tex]\textsf{one side of an equation. These properties are mainly used to find missing variables.}[/tex]

[tex]\textsf{Let's solve for x by using the Properties of Equality.}[/tex]

[tex]\large\underline{\textsf{Solving for x;}}[/tex]

[tex]\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.[/tex]

[tex]\textsf{Let's first Combine Like Terms.}[/tex]

[tex]\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}[/tex]

[tex]\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}[/tex]

[tex]\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}[/tex]

[tex]\textsf{numbers are subtracted from both sides of the equation, then both expressions}[/tex]

[tex]\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}[/tex]

[tex]\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}[/tex]

[tex]\tt 69^{\circ} = 3x^{\circ}[/tex]

[tex]\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}[/tex]

[tex]\textsf{for division. Divide each side of the equation by 3.}[/tex]

[tex]\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}[/tex]

[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]

A' = (-2, -1)

ABCD is dilated by a factor of 1/2

That is, scale factor = 1/2

From ABCD:

The coordinate of A = (-4, -2)

That is, x = -4

x' = 1/2 x -4

x = -2

y' = 1/2 x -2

y' = -1

A' = (-2, -1)

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maximum capacity for the warehouse = 50,000 units

Pre-orders = 20,000 units

Number of units produced per week = 3000 units

Number of orders per week = 1500 units

The number of weeks to fill the warehouse to its maximum capacity:

We can make an equation as:

3000M - 1500M - 20,000 = 50,000 ____(1)

M = number of weeks

From (1) we get,

M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)

1500M - 20,000 = 50,000

1500M = 50,000 + 20,000

1500M = 70,000

M = 46.66 weeks

M = 47 weeks

We can also see that,

From (2),

M ( 3000 - 1500 ) - 20,000

47 x 1500 - 20,000

70,500 - 20,000

50,500

Thus,

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

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Compared to men,b. a smaller proportion of women get MS.

MS, resulting in nerve damage disrupts conversation between the mind and the body, more than one sclerosis causes many specific signs and symptoms, which include imaginative and prescient loss, pain, fatigue, and impaired coordination.

The signs, severity, and duration can vary from person to man or woman. a few people may be symptom-unfastened most of their lives, at the same time as others can have excessive continual signs that by no means go away. Physical therapy and medicinal drugs that suppress the immune machine can assist with signs and gradual disorder development.

Multiple sclerosis can weaken the muscle tissues that manage the lungs. Such breathing problems are the essential reason for sickness and demise in people in the very last stages of MS. Spasticity or growth in stiffness and resistance as a muscle is moved can impair motion and motive aches and other issues.

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Given: A piecewise rectangular figure is given.

Required: To determine the area of the given figure.

Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:

Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.

And the area of the square is

And the area of a rectangle is the product of length by breadth.

Hence, the area of the figure is-

Final Answer: The area of the figure is 49 square centimeters.

Martina deposited $4,000 into an account with 5.1% interest compounded semi-annually. assuming that no no withdrawals are made how much will she have in the account after 9 years?​

we know that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,000

r=5.1%=5.1/100=0.051

n=2

t=9 years

substitute in the formula

Given:

The coordinates of the Oceanfront, (x1, y1)=(3, -2).

The coordinates of the Seaside, (x2, y2)=(-2,4).

The distance between the points corresponding to Oceanfront and Seaside is,

It is given that one unit represents 5 miles.

So, the actual distance between Oceanfront and Seaside is,

Therefore, actual distance between Oceanfront and Seaside is about 40 miles.

1) Fo

Adriana

Ben

Chandra

Diana

Ernesto

Answer:

See below

Step-by-step explanation:

L + 1/8 L = 90

L = 90 / ( 9/8) = 80°     smaller = 10 degrees

answer 1=-7

2=8

3=4

4=15

5=12

The solutions to the trigonometric equation 12cos²(x) - sin(x) - 6 = 0 are given as follows:

x = 42º and x = 228º.

The equation is given as follows:

12cos²(x) - sin(x) - 6 = 0

The following identity is applied:

sin²(x) + cos²(x) = 1.

Hence:

cos²(x) = 1 - sin²(x).

Replacing this identity into the equation, we have that:

12(1 - sin²(x)) - sin(x) - 6 = 0

12 - 12sin²(x) - sin(x) - 6 = 0

12sin²(x) + sin(x) - 6 = 0.

The following transformation is applied:

y = sin(x).

Hence the equation is:

12y² + y - 6 = 0.

Which, using a calculator, has the solutions given by:

y = -3/4, y = 2/3.

Then the solutions for the variable x are given as follows:

This problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the solutions to the equation.

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Answer:

Step-by-step explanation:

1. 7

2. 6

3. 6

It is described as being the mass of a certain platinum-iridium prototype that is held at the International Bureau of Weights and Measures. One liter of pure water's bulk (10-3 cubic meters) served as its original definition.

A mass of 1 kilogram weighs roughly 2.20 pounds at Earth's surface (lb).

The fundamental mass unit in the metric system is the kilogram (kg). Since it was initially designed to be exactly equal, a kilogram is very nearly equivalent to the mass of.

What is a kilogram, and what does it look like?

kilograms is definedThe fundamental metric mass unit, which is equivalent to 1,000 grams (2.2 pounds). 1. 1. The Systeme International d'Unités defines a kilogram as a unit of measurement .

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First, let's put the numbers that are not in the decimal form in this form:

The empirical probability would be:

(number of males that tested positive)/(total number of black males tested)

1/425 (Based on the information given)

The answer is 1/425 or 0.00235(written as a decimal)

We need to select all the functions from the options that have a period of 2π.

If a function has period P, the function f(x) repeats its values every time x is a multiple of P.

Thus, by analyzing the graph of periodic functions, we can determine their period.

Observe the graphs of the following functions:

Notice that the functions y = tan x and y = cot x have period π.

And the functions y = csc x and y = sec x have period 2π.

Therefore, the functions that have period 2π are:

A. y = csc x

B. y = sec x

We have a system of linear equations:

We have to solve by substitution. This is the most appropiate method a s we already have one of the variables in function of the other.

Then, we can replace x in the second equation as:

With the value of y, we can calculate x from the first equation:

Answer: x=-16 and y=2

For this case our reference triangle is ABC and we want to describe what we need to do in order to obtain the triangle DEF

And for this case we can use the coordinate of A and F as reference

A=(2,5)

B=(15,3)

And we can find the transformation on this way:

So we can move the triangle 13 units to the right and 2 units down respect to the A coordinate and we will get the result of the triangle DEF