Which of the following are true about the graph of f(x)=−4x2?
Select the TWO that apply.

Given:

In a parallelogram WXYZ, WX=4x+5 and YZ= 7x-22.

To find:

The WX.

Solution:

In parallelogram WXYZ,

\(WX=YZ\)             [Opposite sides of a parallelogram are equal]

Putting the given values, we get

\(4x+5=7x-22\)

Isolating variable terms.

\(4x-7x=-5-22\)

\(-3x=-27\)

Divide both sides by -3.

\(x=\dfrac{-27}{-3}\)

\(x=9\)

Now,

\(WX=4x+5\)

Putting x=9, we get

\(WX=4(9)+5\)

\(WX=36+5\)

\(WX=41\)

Therefore, the value of WX is 41.

To solve the question:

9a x 3 + 8a + 4 -11a

First we will apply the rule of BODMAS

By applying the rules, we will first multiply before adding or subtracting

27a + 8a + 4 - 11a

Then we re-arrange after multiplying

27a + 8a -11a + 4

we will add all the numbers with "a" variable

24a + 4

Using translation concepts, we have that:

4. The type is f(x + k), with k = 3, and a horizontal shift.

5. The type is kf(x), with k = 5 and a vertical stretch.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:

The type is f(x + k), with k = 3, and a horizontal shift.

For graph 5, we have that for each value of x, g(x) = 5f(x), hence:

The type is kf(x), with k = 5 and a vertical stretch.

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Answer:

85 + 2.5v ≥ 115

2.5v ≥ 30

v ≥ 12

Step-by-step explanation:

Answer:

85+2.5-115=v

v=27.5

Step-by-step explanation:

85+2.5=87.5

115-87.5=27.5

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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The lower confidence bound for the percentage of all such homes that have electrical/environmental problems is 12.8% (rounded to one decimal place). This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is at least 12.8%.

To calculate the lower confidence bound using a confidence level of 99%, we need to use the formula:
Lower Bound = Sample Proportion - Z-score * Square Root[(Sample Proportion * (1 - Sample Proportion)) / Sample Size]
Here, we need to know the sample proportion, which is the percentage of homes that have electrical/environmental problems. Let's assume that the sample size is 500 and 85 homes out of those have electrical/environmental problems. Then the sample proportion would be:
Sample Proportion = 85/500 = 0.17
Next, we need to find the Z-score for a 99% confidence level. From the Z-tables, we can find that the Z-score for a 99% confidence level is 2.576.
Putting these values in the formula, we get:
Lower Bound = 0.17 - 2.576 * Square Root[(0.17 * (1 - 0.17)) / 500] = 0.128

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Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

Answer:

9

Step-by-step explanation:

The interquartile range of the given list is 11 oz.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.

To do this, we first need to order the data set from smallest to largest:

8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz

Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:

Median = (16 oz + 16 oz)/2 = 16 oz

Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.

Lower half: 8 oz, 8 oz, 12 oz, 16 oz

Upper half: 16 oz, 18 oz, 20 oz, 20 oz

Q1 = (8 oz + 8 oz)/2 = 8 oz

Q3 = (18 oz + 20 oz)/2 = 19 oz

Finally, we can calculate the IQR as the difference between Q3 and Q1:

IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz

Therefore,

The interquartile range of the given list is 11 oz.

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Answer:

Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3

Step-by-step explanation:

plugged it into a calculator.

The theoretical probability of getting C is 0.4, and the practical probability of getting C is 12.

a) For the given case total outcomes are 5

The desired outcome is getting C thus the desired outcome is 2

So, The theoretical probability of choosing C is 2/5

b) The experimental probability of choosing a C can be calculated as the ratio of the number of times a C was actually chosen to the total number of trials.

From the table, we see that a C was chosen 5 + 7 = 12 times out of a total of 50 trials.

Therefore, the experimental probability of choosing a C is 12/50 or 0.24.

We can compare the experimental probability to the theoretical probability to see if they are similar.

In this case, the experimental probability of 0.24 is slightly higher than the theoretical probability of 0.4.

This could be due to chance or it could suggest that the letter C is slightly more likely to be chosen than expected. However, with only 50 trials, it is difficult to draw any definitive conclusions.

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Answer:

Your correct answer would be D.

Step-by-step explanation:

Answer:

The answer is D. Greg has 6 pounds of grapes that he wants to divide into pound bags.

Step-by-step explanation:

pls like!!

We need to find the exact values of sin(11π/2), cos(-15π/2), and tan(-13π/3). Using the trigonometric definitions and properties, we can determine these values. The sine, cosine, and tangent functions represent the ratios between the sides of a right triangle.

a) sin(11π/2):

The angle 11π/2 is equivalent to rotating π/2 radians beyond a full circle, resulting in the same position as π/2 or 90 degrees. At this angle, the sine function equals 1. Therefore, sin(11π/2) = 1.

b) cos(-15π/2):

The angle -15π/2 is equivalent to rotating π/2 radians in the clockwise direction, resulting in the same position as -π/2 or -90 degrees. At this angle, the cosine function equals 0. Therefore, cos(-15π/2) = 0.

c) tan(-13π/3):

The angle -13π/3 is equivalent to rotating 13π/3 radians in the counterclockwise direction. At this angle, the tangent function can be determined by finding the ratio of sine to cosine. By substituting the values of sin(-13π/3) and cos(-13π/3) into the tangent function, we can find tan(-13π/3).

To find the exact values of sin(-13π/3) and cos(-13π/3), we need to use the properties of sine and cosine for negative angles. We know that sin(-θ) = -sin(θ) and cos(-θ) = cos(θ). By applying these properties, we can find the exact values of sin(-13π/3) and cos(-13π/3), and subsequently, the exact value of tan(-13π/3) by calculating the ratio sin(-13π/3) / cos(-13π/3).

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Answer:

$0.45

Step-by-step explanation:

The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

The zeros are -2, 1, and 2

Step-by-step explanation:

You have to set each individual equation equal to zero.

ex: (x+2) x+2=0 move the number to the right hand side to get x alone x=-2

as for the y intercept I don't know

Answer:

see explanation

Step-by-step explanation:

g(x) = (x + 2)(x - 1)(x - 2)

To find the zeros let g(x) = 0 , then

(x + 2)(x - 1)(x - 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

The zeros are x = - 2, x = 1, x = 2

To find the y- intercept substitute x = 0 into g(x)

g(0) = (0 + 2)(0 - 1)(0 - 2) = 2(- 1)(- 2) = 2 × 2 = 4

The y- intercept is 4 or (0, 4 )

Using the Optimization problem solving strategy, the maximum area inside the margins is 108 inch².

Firstly , we can develope a function of two variables. let the length of poster be x inch and width be y inch.

total Area of poster (A ) = x × y = 200 inch² ---(1)

we have provided that bottom and top margin is 2 inch each and right -left margin is 1 inch each.

So, length of poster inside margin (l) = (x-4 ) inch

width of poster inside the margin (w) = (y-2) inch

Area inside the margins = l × w sq. inch

= (x-4)(y-2) sq.inch ---(2)

from (1) we can find out the value of one variable and put in equation (2) ,

from( 1), y = 200/x

Area inside margins= (x-4)(200/x - 2) = 2(x -4)( 100/x - 1) = 2( 100 - x - 400/x + 4)

Area inside margins = 2 ( -x - 400/x + 104)

To minimize the area inside the margins we take first order derivative of it

dA/ dx = d/dx[ 2( -x - 400/x + 104) ]

= 2 d/dx ( -x - 400/x +104) = 2 ( -1 + 400/x² )

critical points occurs when dA /dx = 0

2 ( -1 + 400/x² ) = 0 => 800/x² = 2

=> x² = 400 => x = 20

putting value of x in equation (1) we get ,

x×y = 200 = 20× y => y = 10

so, length of poster is 20 inch and width is 10 inch.

Now, length of poster inside margin (l) = 16 inch

width of poster inside margin (w) = 8 inch

maximum area inside margin is 108 inch².

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Answer:12 and 15

Step-by-step explanation:

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

Answer:

180°-50=130 this is m°

50-130=70 that is n°

Answer:

12 mmm

Step-by-step explanation:

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

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Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

21/8 or 2.625

Step-by-step explanation:

Answer:

0.56

Step-by-step explanation:

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