I need an quadratic equation with -3 and 6 for this assignment

we know that

If (x-a) is a factor of P(x)

then

For x=a

the value of P(a)=0

therefore

Answer:

Explanation:

Part 1:4(5c + 3) and 9c + 7

The answer is NO.

Part 2: 10f – 10 and 2(8f - 5)

The answer is NO.

Part 3: 12g + 21 and 3(4g + 7)

Part 4: 6(4) – 6) and 24 - 36

The coordinates can be obtained using section formula

The x coordinate of E is 7 and y coordinate is 8.

Explanation

Step 1

Let's remember one propertie of the roots

hence

replacing in the expression

therefore, the answer is

I hope this helps you

Answer:

slope = 5/3

y-intercept = -4

Step-by-step explanation:

First, move the x to the other side of the equation:
-3y=-5x+12
Then, divide BOTH sides by -3, so that there is no coefficient next to y:
y=5/3x-4

Then, just look at the constant and coefficient next to x (m). The slope is 5/3 and the y-intercept is -4.

Hope this helps!

Answer:

[tex]y = \frac{5}{3}x - 4[/tex]

Step-by-step explanation:

move the 5x to a -5x

-3y= -5x+12

-3/-3= -5x÷ -3 12÷ -3

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

12, 20, 18, 25 , 6

range = ?

We must order the data.

Step 02:

6 , 12 , 18 , 20 , 25

Range = 25 - 6 = 19

The answer is:

The range is 19

By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:

x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2)                                   Given

x = - 1 / 6 - 1 / 4                                                                 Multiplication of rational numbers

x = - 4 / 24 - 6 / 24                                                           Modulative, commutative and associative properties / Existence of multiplicative inverse

x = - 10 / 24                                                                       Addition of fraction with same denominator

x = - 5 / 12                                                                         Simplification / Result

The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

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Replacing with the values we already know, we have:

PV = 10,000

i = 5% or 0.05 but it is compounded monthly, then it is 0.05/12

n = 18 years or 216 months

10,000 = FV * 0.4073

FV = 10,000/0.4073

FV = $ 24,551.93

It is very close to option D, where the term "about" is included.

Here, we are given a 45°-45°-90° triangle.

Let's find the length of the legs.

A 45°-45°-90° triangle is an isosceles triangle, and the two legs of an isosceles triangle are of equal lengths.

To find the length of each leg apply the formula:

Where;

c = 12

Thus, we have:

Solve for a:

Divide both sides by √2

Therefore, the length of each leg in radical form is 6√2

ANSWER:

Given the functon

Explanation

To find the points that lie in the solution set we will lot the graph of the function and indicate the ordered pirs.

From the above, we can see that the right option is

Answer: Option 1

The derivative of the function y = -1/x-2 is 1/(x-2)².

Given, the function is y = -1/x-2

Differentiate the function with respect to x.

dy/dx = d/dx (-1/x-2)

the function is in the form of :

d/dx [f(x)g(x)] = f(x)d/dx((x)) + g(x)d/dx(f(x))

here d/dx [f(x)g(x)]  = d/dx [(-1)(1/x-2)]

therefore, d/dx [(-1)(1/x-2)] = (-1)d/dx(1/x-2) +(1/x-2)d/dx(-1)

⇒ d/dx [(-1)(1/x-2)] = (-1)(-1)(x-2)⁻¹⁻¹ + (1/x-2)d/dx(0)

⇒ d/dx [(-1)(1/x-2)] = 1(x-2)⁻² + 0

⇒  d/dx [(-1)(1/x-2)] = 1/(x-2)²

Hence the derivative of the function is 1/(x-2)²

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Substitute second expression (x=y) in the first expression.

Substitute the above value of y in the expression number 2.

Thus, the value of x=3 and the value of y=3.

The equation is

The point given is:

The x coordinate given is 0 and the y coordinate given is 5.

We put the respective point and see if the equation holds true or not.

Thus,

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

We have to solve this system of equations by substitution.

8) First, we find the value of one of the variables in function of the other using one of the 2 equations (first equation, in this case). Then, we use the other equation and replace the variable we just cleared (x, int his case) and solve for the other variable (y).

Then, after calcualting y, we can use the first equation to calculate x.

Answer: x=8, y=-2.

10)

Answer: x=-2, y=0

26.219 Miles in 128 minutes.

First we have to convert miles to km:

Since 1 mile = 1,609 km

26.219 x 1,609 = 42,041.561 km

Then divide the distance by the time:

42,041.561/ 128 = 192.85 km per minute

Given:

-36m + 16

To factor out the common factor, let's find the Greatest Common Factor (GCF) of both values.

GCF of -36 and 16 = -4

Factor out -4 out of -36 and 16:

Factor out -4 out of [-4(9m) - 4(-4)] :

ANSWER:

Solution

For this case we can do the following:

2. Part of lines FE and AB

4. Transitive

1. Given

5. Definition of parallelogram

3. Opposite sides of a parallelogram are II

The equation for the total amount after compounded interest is as follows:

Where A is the final amount, P is the initial amount, r is the annual interest, n is how many times per year the interest is compounded and t is the time in years.

Since the interest is compounded annually, it is compounded only once per year, so

The other values are:

So, substituteing these into the equation, we have:

So, she will have approximately $6421.

The Solution:

The correct answer is 13.26 centimeters.

Explanation:

Given that Jason has 29 yards of ribbon, and he plans to make 200 bookmarks.

We are asked to find the approximate length (in centimeters) of each bookmark.

Step 1:

Convert 29 yards to centimeters.

So,

Step 2:

To get the length of each bookmark, we shall divide 2651.76 by 200.

Therefore, the correct answer is 13.26 centimeters.

S(8)=3500(1+(.047/4))^32

S(8)=$5086.40 in the account after 8 years.

a)The relative growth rate is .25, or 25%

b)at t=0, the population is 955e^.25(0)=955

c)at t=5; the population is 955*e^.25(5)=955*3.49=3333.28 bacterium.

Explanation

Simple Interest is calculated using the following formula:

where P is the principal ( initial amount)

R is the rate ( in decimal)

T is the time ( in years)

so

Step 1

Let

now, replace

so, the time is 0.333 years

Step 2

convert 0.333 years into days

so

therefore, the answer is

122 days

Answer:

20m

Step-by-step explanation:

(10-1)x2+1x2=20m

Answer:

1.23 x 10 to the 5th power is 123,000.

Step-by-step explanation:

math.

Given data:

The given distance covered by rat is d= 28 m.

The given time is t= 65 seconds.

The speed of the child is s'=2 m/s.

The expression for the speed is,

As the speed of the child is greater than speed of the rat, so child is going faste.

r

A rational value that is less than zero is -√4.

An irrational value greater than five is 5 1/9.

A rational value between 10 and 20 is √225.

A rational number is a number that can be expressed as a fraction of two integers. A rational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of rational numbers are 100, -0.5.

A irrational number is a number that cannot be expressed as a fraction of two integers. An irrational number can either be a positive number, negative number, whole number, decimal or fraction.  Examples of irrational numbers are 22/7, 1-/9.

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The problem is asking as to perform an addition of signed numbers.

The firs one to add is 3 and the other one is -7.

We can understand the meaning of this type of addition by using the number line forst, and then have a very simple "short cut" every time we fce problems like this.

The number line approach:

locate yourself at the mark "3" on the number line, and then add the number "-7" whichmeans go to the left (as the negative indicates) 7 units. You will see that you move through zero, and then land on the number "-4".

Let h be the altitude of the starting position.

Since the group has gained 456 feet from the start position, then the current altitude is:

Answer

u = <(4/5), (-3/5)>

Magnitude of u = ||u|| = √[(4/5)² + (-3/5)²] = √[(16/25) + (9/25)] = √(25/25) = √(1) = 1

Explanation

The unit vector in the direction of any vector is that vector divided by the magnitude of the vector.

u = Unit vector in the direction of v = (vector v)/(magnitude of vector v)

v = <4, -3> = 4i - 3j

Magnitude of v = |v| = √[4² + (-3)²] = √(16 + 9) = √25 = 5

u = (4i - 3j)/5 = (4i/5) - (3j/5)

u = <(4/5), (-3/5)>

Magnitude of u = ||u|| = √[(4/5)² + (-3/5)²] = √[(16/25) + (9/25)] = √(25/25) = √(1) = 1

Hope this Helps!!!

Answer

u = <(4/5), (-3/5)>

Magnitude of u = ||u|| = √[(4/5)² + (-3/5)²] = √[(16/25) + (9/25)] = √(25/25) = √(1) = 1

Explanation

The unit vector in the direction of any vector is that vector divided by the magnitude of the vector.

u = Unit vector in the direction of v = (vector v)/(magnitude of vector v)

v = <4, -3> = 4i - 3j

Magnitude of v = |v| = √[4² + (-3)²] = √(16 + 9) = √25 = 5

u = (4i - 3j)/5 = (4i/5) - (3j/5)

u = <(4/5), (-3/5)>

Magnitude of u = ||u|| = √[(4/5)² + (-3/5)²] = √[(16/25) + (9/25)] = √(25/25) = √(1) = 1

Hope this Helps!!!

All of the possible answers for the vertices of triangle A'B'C' after using this translation rule (x, y) →  (2x, y - 3) include the following:

A. (14, 3)

D. (-8, 6)

In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure or object in the same direction, as well as for the same distance.

Next, we would transform triangle ABC by using this translation rule (x, y) →  (2x, y - 3) to create the vertices of triangle A'B'C' as follows:

(x, y)                               →                 (2x, y - 3)

Coordinate A = (7, 6)    →    Coordinate A' (2(7), 6 - 3) = (14, 3)

Coordinate B = (-3, 5)   →    Coordinate B' = (2(-2), 5 - 3) = (-4, 2)

Coordinate C = (-4, 9)   →     Coordinate C' = (2(-4), 9 - 3) = (-8, 6)

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