For the following, determine the value of the discriminant and hence sketch the parabola using the most efficient approach. Label all intercepts and the vertex.
y=25x^2 −30x+9

Answer:

the first 2 are not equal to 30, while the other 2 equal 30

Answer: (12020) x (2+3), (2 x 60 ÷ 30) x (24+2)

Step-by-step explanation:

(12,020) x (2+3) = 60,100

(2 x 60 ÷ 30) x (24+2) = 104

The angle OBC is 90 degrees, the equation is 18r = 144, r = 8 feet, and the length of the AB is 16 feet which is the length of the red sail in the logo.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have the figure shown in the picture with dimensions.

a) As we can see, the AOB is the diameter of the circle which is perpendicular to the CBD

So the angle ∠OBC will be a right angle.

∠OBC = 90 degree.

b) Length OE is the radius of the circle.

Let's suppose OE = r

Then in a right angle triangle OBC where ∠OBC = 90 degrees.

Applying Pythagoras theorem:

OC² = CB² + OB²

(CE + OE)² = CB² + OB²

CE = 9 ft, OE = r, CB = 15 feet, and OB = r (radius of the circle)

(9 + r)² = 15² + r²

81 + 18r + r² = 15² + r²

18r = 144

r = 8 feet

OE = r = 8 feet

c)

As the angle ∠OBC = 90 degrees, that's why the triangle OBC becomes a right angle triangle and OB⊥CB.

d)

In the circle, there is a red triangle, we can find one of the lengths of the triangle which is AB.

AB is the diameter of the circle

r = 8

Diameter AB = double the radius = 2(8) = 16 feet

AB = 16 feet

Thus, the angle OBC is 90 degrees, the equation is 18r = 144, r = 8 feet, and the length of the AB is 16 feet which is the length of the red sail in the logo.

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Answer:

false

Step-by-step explanation:

Using the Factor Theorem, the second degree polynomial function that has a leading coefficient of –1 and root 4 with multiplicity 2 is given by:

f(x) = -x² + 8x - 16

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have that:

Thus, the polynomial is given by:

f(x) = -(x - 4)(x - 4)

f(x) = -(x² - 8x + 16)

f(x) = -x² + 8x - 16

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Answer:

5.71%

Step-by-step explanation:

1.75 kg = 1750 gm ( 1kg = 100gm)

So if the corrected weight is to the nearest gram, the bag can weigh ± 1 gm from the corrected weight

So the error is 1/1750 = 1 /1750 x 100 % = 5.71%

this question is unambiguous.

The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is shown.

Then the volume of the given geometry will be

Volume = Area of the trapezoid × Height

Then the area of the trapezoid will be

[tex]\rm Trapezoid \ area = \dfrac{1}{2} \times (8 + 5) \times 5\\\\\\Trapezoid \ area = 32.5 \ ft^2[/tex]

Then the volume of the geometry will be

Volume = 32.5  × 10.5

Volume = 341.25 cubic ft.

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The legs of a right triangle are lengths 48cm and 55cm. So, the length of the hypotenuse is 73 cm.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The legs of a right triangle are lengths 48cm and 55cm.

Let ABC be the right angle triangle and AB is the hypotenuse.

To find the length of the hypotenuse we will use the Pythagoras theorem,

[tex]AB^2 = BC^2 + AC^2\\\\AB^2 = 48^2 + 55^2\\\\AB^2 = 2304 +3025\\\\AB^2 = 5329\\\\AB = \sqrt{5329} \\\\AB = 73[/tex]

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According to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, we had  where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

A distribution of scores on an aptitude test is Normally distributed with a mean of 80 and a standard deviation of 5.

[tex]\mu=80\\\sigma=5[/tex]

The percentage for the interval of values between 75 and 85 has to be found out. From the 68%, the interval is,

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(80 - 5 < X < 80+ 5) = 68\%\\P(75 < X < 85) = 68\%[/tex]

Thus, according to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

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Answer:

1/2

Step-by-step explanation:

it is going to be 1/2 because you you have a 1 out of 2 chance of getting heads or

tails on any of them.

Answer:

if you

flipped a coin 100 times you saw the ratio of head and tails to be 50/50. They created a diagram of all the flips. There was a lot of flip-flopping between heads and tail.

Step-by-step explanation:

By using an excel spreadsheet and IRR function, the cross over rate = 14.85%

Year           Cash Flow (A)           Cash Flow (B)

0                    -58,000                   -58,000

1                      34,000                     21,200

2                     28,000                     25,200

3                     20,000                     30,000

4                      13,600                     25,200

using an excel spreadsheet and the IRR function:

Project A's IRR = 28.3%

Project B's IRR = 25.7%

(b) If you apply the IRR decision rule, which project should the company accept?

Project A (its IRR is higher)

Requirement 2:

(a) Assume the required return is 14 percent. What is the NPV for each of these projects?

using an excel spreadsheet and the NPV function:

Project A's NPV = $14,921.37

Project B's NPV = $15,156.64

(b) Which project will you choose if you apply the NPV decision rule?

Project B (its NPV is higher)

Requirement 3:

(a) Over what range of discount rates would you choose Project A?

higher than 14.85%

(b) Over what range of discount rates would you choose Project B?

lower than 14.85%

(c) At what discount rate would you be indifferent between these two projects?

crossover rate calculation

Year           Cash Flow (A)           Cash Flow (B)       differential amount

0                    -58,000                   -58,000                       $0

1                      34,000                     21,200                     $12,800

2                     28,000                     25,200                     $2,800

3                     20,000                     30,000                  -$10,000

4                      13,600                     25,200                   -$11,600

using an excel spreadsheet and IRR function, the cross over rate = 14.85%

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Answer: it’s all about the angle and length of it

Step-by-step explanation:

1st get sumthing that’s as long as that

2st do u see the point and what it’s touching use that follow alone with it

3

Answer:

they warned me and deleted my answer  for no reason i think its because i sent a link to a calculator

Step-by-step explanation:

but the answer is the last one yes

Answer:

first thing: 1/2=2/4

then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)

then it's gonna be -3+2/4

answer= -1/4

Answer:
No

Step-by-step explanation:

Replace x with the given c value to get y = 5 + 2 which becomes y = 7

Since y is 3 in the given solution and not 7 it cannot be a solution.

Answer: 7

Step-by-step explanation:

Answer:

slope=1.200/2000=0.600

x-intercept =7/3=2.3333

y-intercept =7/-5--1.40000

Step-by-step explanation:

the x and y intercept and the aloe are called line of properties.

y tells us how far the line goes

x tells us how far it goes

m is the slope of gradient i.e. how steep the like is

bis y-intercept i.e. where the line line crosses the y

Answer:

hence the midpoint of AB is 1/2,1

Step-by-step explanation:

A(-2,5)

B(3,-3)

now midpoint of AB is given by

[tex]mid \: point \: of \: ab = (\frac{ - 2 + 3}{2} ) \: ( \frac{5 - 3}{2} ) \\ = ( \frac{ 1}{2} ) \: (1)[/tex]

Answer:

D

Step-by-step explanation:

Just ask :)

Answer:

Step-by-step explanation:

If you put all the numbers on the number line it would be, -4/3, -4/5, -2/3, 7/10, 7/10, so the correct answer is letter A.

The value of B using Pythagoras theorem is 20 cm.

Pythagoras' theorem states that the square of the hypotenuse in a right- angle triangle is equal to the sum of the square of the two other sides.

Formula:

Make B the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The value of B using Pythagoras theorem is 20 cm.

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Answer: The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.

Step-by-step explanation:

A reflection and a translation are both rigid motions, meaning both transformations preserve congruency.

Answer:

The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.

Step-by-step explanation:

Answer:

can you show me the graph so I can't answer the question

Answer:

A

Step-by-step explanation:

Edge 2022

radius (r) = 15m

height (h) = 7m

[tex]\pi {r}^{2} h[/tex]

[tex] \frac{22}{7} \times (15) \times (15) \times 7 \\ \\ = 22 \times 225 \\ \\ = 4950[/tex]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

Given a magnitude M and angle [tex]\theta[/tex], then a vector V can be represented as follows in component notation:

[tex]V = (M\cos{\theta}, M\sin{\theta})[/tex]

In this problem, the magnitude and the angle are given, respectively, by:

[tex]M = 12, \theta = 143^\circ[/tex]

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

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          -- - - -- - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - -- - - - --

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Factor x²+x-42

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, think of two numbers such that

These numbers are:-

7 and -6

Write them here:-

(x+7)(x-6)

Note:-

We don't have to use the Big X method, since the coefficient of x² is 1.

If it's greater than 1, like 2, then the Big X method comes in handy.

         - - - - --  -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

1. 7x-6x

2. x+7

3. 6

4.(x-6)(x+7)

5. multiply

Step-by-step explanation:

Answer:

4.64 ft

Step-by-step explanation:

75 % = .75

11 * .75^3 = 4.64 ft

Answer:

your new acc has not verify

plss try again!!

The area of the parallelogram is the product of length and height. Then the area of the parallelogram will be 51 square cm.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

A parallelogram has a base that is 10.2 centimeters long and a height that measures 5 centimeters.

Then the area of the parallelogram will be

Area = bh

Area = 10.2 x 5

Area = 51 square cm

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