4. Where does Equation A and Equation B intersect?
Using algebra, verify where the equations intersect.
y=-2x-2
y=8x+2y=12

Answers

Answer 1
Hghhghhhhhgghhygvvvyhj

Related Questions

Part A: Show work to complete the square of the function.Part B: Identify the vertex of the function.Part C: Explain how to determine the maximum or minimum value of the function.

Part A: Show work to complete the square of the function.Part B: Identify the vertex of the function.Part

Answers

Part A:

Given function is

\(y=-3x^2-6x-5\)

While comparing the above function with the square of the function

\(y=a(x-h)^2+k\)

then, we have

\(\begin{gathered} y=-3x^2-6x-5=a(x-h)^2+k \\ =-3(x-h)^2+k \\ =-3(x^2-2hx+h^2)+k \\ =-3x^2+6hx-3h^2+k \\ =-3x^2+6hx+(k-3h^2) \end{gathered}\)

while comparing the above equations,

\(\begin{gathered} y=-3x^2-6x-5=-3x^2+6hx+(k-3h^2) \\ \therefore a=-3\text{ } \\ \Rightarrow-6=6h \\ \therefore h=-1 \\ \Rightarrow-5=k-3h^2 \\ -5+3(-1)^2=k \\ k=-5+3 \\ \therefore k=-2 \end{gathered}\)

therefore, the square of the function will be

\(\begin{gathered} \text{substituting a=-3 , h=-1 and k=-2 in Square of the function} \\ y=a(x-h)^2+k \\ \therefore y=-3(x+1)^2-2 \end{gathered}\)

A rectangular pitcher is 3 inches wide, 9 inches long and 16 inches tall. If water is filled up to 5 inches, how much more water can be put in ther pitcher

Answers

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

jerry is making a rectangular banner for school . The dimensions of the banner are 1 1/2 yards by 1 3/4 yards What is the area of the the banner ? equation : solution :

Answers

Answer:

21/8 or 2.625 or 2 5/8 m/cm^2

Step-by-step explanation:

Area of a rectangle=L×B

= 3/2×7/4

=21/8

= 2 5/8 m/cm^2

a professor gives a special tutoring session to students who scored less than 60 percent on the first test. on the second test, their mean score rises to 70 percent. what conclusion can we draw, if any, and why?

Answers

We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.

Determine the conclusion

We can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.

The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.

Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.

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Apply the distributive property to create an equivalent expression.
( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5

Answers

Given:

The expression is

\((1-2g+4h)\cdot 5\)

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

\(a(b+c)=ab+ac\)

Where, a, b and c are real numbers.

We have,

\((1-2g+4h)\cdot 5\)

Using distributive property, we get

\(=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5\)

\(=5-10g+20h\)

Therefore, the expression \(5-10g+20h\) is equivalent to the given expression.

Answer:

5-10g+20h

Step-by-step

Please give Brainliest :)

tambria's property has the shape of a trapezoid with the dimensions shown. if the perimeter of the property is 3,279 feet, what is the value of x?

Answers

The value of x is 726 ft.

We have,

Perimeter of the property= 3279 feet

Now, the shape of the property is Trapezium.

and, the dimension of trapezoidal property is

x + 74, x +27, x+ 274 and x

So, the perimeter of trapezoid

3279 = sum of length of side

3279 = x + x + 74 + x + 27 +  x +274

3279 = 4x  + 375

4x = 2904

x = 726 ft

Thus, the value of x is 726 ft.

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A frequency distribution for heights of college women recorded to the nearest inch: the first two class midpoints are 69. 5" and 72. 5". What are the class limits for the lowest class

Answers

Answer:

Step-by-step explanation:

To find the class limits for the lowest class, you need to know the class interval, which is the difference between the upper class limit and the lower class limit of each class1. You can find the class interval by subtracting the first two class midpoints: 72.5 - 69.5 = 3.

Then, you can find the lower class limit of the lowest class by subtracting half of the class interval from the first class midpoint: 69.5 - 1.5 = 68.

Similarly, you can find the upper class limit of the lowest class by adding half of the class interval to the first class midpoint: 69.5 + 1.5 = 71.

Therefore, the class limits for the lowest class are 68 and 71.

PLEASE HELP DUE AT MIDNIGHT

PLEASE HELP DUE AT MIDNIGHT

Answers

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15, 10,\frac{20}{3},...
15,10,
3
20

,...
Find the 9th term.

Answers

Answer:

  1280/2187

Step-by-step explanation:

We usually study arithmetic and geometric sequences. The terms of an arithmetic sequence have a common difference. The terms of a geometric sequence have a common ratio. You can tell what kind of a sequence it is by determining if the difference is constant of the ratio is constant.

__

Here, the difference of the first two terms is 10 -15 = -5. The next term of an arithmetic sequence would be 10 +(-5) = 5. The next term is not that, but is 20/3.

The ratio of the first two terms is 10/15 = 2/3. If the sequence is geometric, the next term will be 10(2/3) = 20/3, which it is. This geometric sequence has first term 15 and common ratio 2/3.

__

The general term of a geometric sequence is ...

  \(a_n=a_1\cdot r^{n-1}\qquad\text{$n^{th}$ term with first term $a_1$ and common ratio $r$}\)

You want the 9th term of the given sequence. It is ...

  \(a_9=15\cdot\left(\dfrac{2}{3}\right)^{9-1}=5\cdot 2^8\cdot3^{-7}\\\\\boxed{a_9=\dfrac{1280}{2187}}\)

Kayla buys a two-pint bottle of juice for $3.20. What is the unit rate of the cost of the juice per fluid ounce?

Answers

Answer: $0.10 per fluid ounce

Step-by-step explanation:

Kayla bought two-pints for $3.20.

First convert this quantity to fluid ounces.

1 pint = 16 fluid ounces

If 2 pints were bought therefore, this would be:

= 2 * 16

= 32 fluid ounces

32 fluid ounces cost $3.20.

Cost per fluid ounce is therefore:

= 3.20 / 32

= $0.10 per fluid ounce

Answer:

$0.10 per fluid ounce

Step-by-step explanation:

Hope this helps

Which number is a solution of the inequality (x<-4)? Use the number line to help tue answer the question.

Which number is a solution of the inequality (x&lt;-4)? Use the number line to help tue answer the question.

Answers

Answer:

-5

Step-by-step explanation:

the answer is -5 since it is less than -4

Which expression can be used to represent the phrase “Lamar decreased his collection of cards by seven”?
x minus 7
7 minus x
x + 7
7 x

Answers

Answer:

7 minus x

Step-by-step explanation:

it says he decreased his cards

find all the expressions that are equal to 4*10^-3

Answers

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

find all the expressions that are equal to 4*10^-3

Subtract 4x4 + 2x2 +5 from the sum of 2x4 – 4x² – 3 and 3x4 – 3x2 +9.

Answers

Answer:

10

Step-by-step explanation:

What is math trying to do with me?
seriously
:^

What is math trying to do with me?seriously:^
What is math trying to do with me?seriously:^

Answers

Answer:

1.

Y would equal to 449 after plugging in 12 for x

2.

Y would equal to 239 after plugging 7 in for x

Step-by-step explanation:

We just have to plug in the values give too us and find what y equals.

1.

y=42(12)-55

y=504-55

y=449

2.

y=42x-55

we just have to plug in 7 for x.

y=42(7)-55

42*7=294

y=294-55

y=239

A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6

A. X=1B. X=2C. X=3D. X=4E. X=5F. X=6

Answers

Answer:

1.) 5

2.) 6

3.) 2

4.) 2

5.) 2

6.) 5

_________ processes rely on high technology, highly educated workers, and financial support from governments while _____________ processes rely on low technology, less educated workers, and little support from government.

Answers

High-tech processes rely on high technology, highly educated workers, and government financial support, while low-tech processes rely on low technology, less educated workers, and minimal government support.

High-tech processes are characterized by the utilization of advanced technology, sophisticated equipment, and specialized interest. These processes often require a highly skilled and educated workforce capable of operating and maintaining complex systems. Additionally, high-tech industries often receive substantial financial support from governments in the form of research funding, subsidies, and infrastructure development to foster innovation and competitiveness.

On the other hand, low-tech processes involve simpler technology and require less specialized knowledge. These processes typically rely on manual labor and may not require advanced education or training. Low-tech industries often operate with minimal government support, as they may not be considered strategic or high-priority sectors

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Evaluate the function...
I'm stuck on this question

Evaluate the function...I'm stuck on this question

Answers

Answer:

\(f(-1) = 3\)

Step-by-step explanation:

\(f(x) = -x^{2} - 4x\)

at x=-1

\(f(-1) = -(-1)^{2} - 4(-1)\)

\(f(-1) = -1 + 4\)

\(f(-1) = 3\)

Which situation can be represented by the equation y = 52x?
А
A company manufactures a total of 52 drinking glasses every hour, with x of
the glasses made of clear glass and y of the glasses made of blue class.
B. A company uses a total of y gallons of water at a rate of 52 gallons per hour
for x hours.
CA restaurant prepares a total of y batches of pizza sauce from 52 pounds of
tomatoes, with each batch weighing x pounds.
D A restaurant serves a total of y meals in one day, in which 52 meals are served
during the first hours and x meals are served during the remaining hours.
Helppppp no

Answers

Answer:

A would be a good form of the answer

1. give a big-o estimate for the number of operations(where an operation is an addition or a multiplication)used in this segment of an algorithm.t :

Answers

The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

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A northbound car is going 12 miles per hour faster than a southbound car.
The cars are 276 miles apart 3 hours after passing each other on the interstate.
What is the speed of the northbound car?

Answers

Check the picture below.

so the cars are 276 miles apart, let's say the southbound car is going "r" mph fast, that means the northbound car is going "r + 12" mph fast as you see in the picture, so at some time they meet, hmmm wait, we know they're 3 hours apart from passing each other, so that means by the time they meet, 3 hours have passed, so by the time that happens, the northbound car has been traveling for 3 hours and the southbound car has been traveling for 3 hours as well.

Since we know they're 276 miles apart, let's say by the time they meet the southbound car has covered "d" miles, so the northbound car has covered the slack then, that is "276 - d" miles.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Southbound&d&r&3\\ Northbound&276-d&r+12&3 \end{array}\hspace{5em} \begin{cases} d=(r)(3)\\\\ 276-d=(r+12)(3) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{d=3r}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{276-(3r)~~ = ~~3(r+12)} \\\\\\ 276-3r=3r+36\implies 240-3r=3r\implies 240=6r \\\\\\ \cfrac{240}{6}=r\implies \stackrel{ Southbound~car }{40=r}\hspace{5em}\underset{ Northbound~car }{\stackrel{ 40~~ + ~~12 }{\text{\LARGE 52}}}\)

A northbound car is going 12 miles per hour faster than a southbound car.The cars are 276 miles apart

One angle of a triangle measures 85°. The other two angles are in a ratio of 9:10. What are the measures of those two angles?

Answers

Answer:

Let x be the first unknown angle, and y be the second unknown angle.

We know that the sum of the three angles in a triangle is 180 degrees, so:

85 + 9kx + 10kx = 180

where k is a constant representing the ratio of the other two angles.

Simplifying the equation, we get:

19kx = 95

Dividing both sides by 19k, we get:

x = 5/k

Since the ratio of the other two angles is 9:10, we know that:

y = 9kx = 9k(5/k) = 45

So the measures of the two unknown angles are:

x = 5/k and y = 45

We cannot find the exact measures of x and y without more information, but we know that x and y are in a ratio of 9:10 and their sum is 180 - 85 = 95 degrees. We can set up the following equation to solve for k:

5/k + 45/k = 95

50/k = 95

k = 50/95

Using this value of k, we can find the measures of x and y:

x = 5/k = 5/(50/95) = 9.5

y = 9kx = 9(50/95)(9.5) = 47.37

Therefore, the measures of the two unknown angles are x = 9.5 degrees and y = 47.37 degrees (rounded to two decimal places).

Step-by-step explanation:

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the length of the ladder if the length is 3 ft more than its distance from the wall.

Answers

Answer:15

Step-by-step explanation:

A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.

Let the distance of the ladder from the wall be x

The length of the ladder = x+3

The ladder touches the wall at a vertical height of 9 feet.

(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem

x^2 + 6x+ 9 = x^2 + 81

x^2- x^2 +6x = 81-9

6x= 72

x= 12

Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.

(a) We would like to know if Intel's stock and Southwest Airlines' stock have similar rates of return. To find out, we take a random sample of 50 days, and record Intel's and Southwest's stock on those same days.

Answers

Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.

To begin the analysis, we can calculate the daily rate of return for each stock by taking the percentage change in stock price from one day to the next. We can then calculate the mean and standard deviation of the daily rate of return for each stock. Next, we can use a t-test to determine whether there is a statistically significant difference between the mean daily rate of return for Intel and Southwest Airlines. The null hypothesis would be that the mean daily rate of return for the two stocks is equal, while the alternative hypothesis would be that there is a significant difference between the two.If the t-test results in a p-value less than our chosen level of significance (typically 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference in the rates of return for the two stocks. If the p-value is greater than 0.05, we cannot reject the null hypothesis and conclude that there is not enough evidence to suggest that the rates of return for the two stocks are significantly different.In summary, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

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A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower. What is the length of the guy wire, rounded to the nearest foot? 20 ft 28 ft 49 ft 59 ft.

Answers

Answer:

  (d)  59 ft

Step-by-step explanation:

In the geometric model of the problem, the guy wire is the hypotenuse of a right triangle, with the tower being one leg, and the distance along the ground from the tower being the other leg. The ground distance is "adjacent" to the angle of elevation, so the relevant trig function is ...

  Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, gives ...

  hypotenuse = adjacent/cos(α) = (34 ft)/cos(55°) ≈ 59 ft

The length of the guy wire is about 59 feet.

The balance in an investment account years t after the account is opened is given by 9500(1.062t). Compute the average rate of change for 3.5 ≤ t ≤ 5.5.(Round your answer to two decimal places.)
Δ balance/Δt=??
Interpret your result in this context. From 3.5 to 5.5 years after being opened, the balance of the account "??" at an average rate of $ "??" per year.

Answers

The account balance grows by approximately $5548.78 for each additional year within the given time period.  We need to find the difference in the balance over that time period and divide it by the difference in time.

The formula for the balance in the investment account after t years is given by 9500(1.062^t). Let's calculate the average rate of change:

Balance at t = 5.5 years:

B(5.5) = 9500(1.062^5.5)

Balance at t = 3.5 years:

B(3.5) = 9500(1.062^3.5)

Average rate of change = (B(5.5) - B(3.5)) / (5.5 - 3.5)

Now, let's compute the values:

B(5.5) ≈ 9500(1.062^5.5) ≈ 9500(1.434714)

B(3.5) ≈ 9500(1.062^3.5) ≈ 9500(1.206178)

Average rate of change ≈ (9500(1.434714) - 9500(1.206178)) / (5.5 - 3.5)

Finally, we can calculate the approximate average rate of change:

Average rate of change ≈ (13653.78 - 11458.69) / 2

Average rate of change ≈ 11097.55 / 2

Average rate of change ≈ 5548.78

Interpreting the result, from 3.5 to 5.5 years after the account is opened, the balance of the account increases at an average rate of $5548.78 per year. This means that, on average, the account balance grows by approximately $5548.78 for each additional year within the given time period.

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I can’t figure this out. Help!

I cant figure this out. Help!

Answers

Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

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A national appliance store chain is reviewing the
performances of its 400 sales associate trainees.
How can the store choose a representative
sample of the trainees?

Answers

Answer:

d

Step-by-step explanation:

assume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day. how much time must be spent on leisure activities by an adult living in household with no young children to be in the group of adults who spent the highest 3% of the time in a day in such activities?

Answers

An adult must spend 6 hours on leisure activities.

We have been given the mean, µ = 4.5 and

standard deviation, σ = 1.3 of the normal distribution and we need to find how much time must be spent on leisure activities by an adult living in household with no young children to be in the group of adults who spent the highest 3% of the time in a day in such activities

. Let x be the amount of time that should be spent on leisure activities by an adult to be in the group of adults who spent the highest 3% of the time in a day in such activities. Now, we know that the highest 3% of the

time in a day in such activities will correspond to the area to the right of z value of 0.97. Hence, we can write the z score as: 0.97 = (x - µ) / σz = (x - 4.5) / 1.3x - 4.5 = 0.97 × 1.3x = 6.011Therefore, an adult living in household with no young children must spend 6.011 hours on leisure activities to be in the group of adults who spent the highest 3% of the time in a day in such activities

.Thus, the answer is: An adult living in household with no young children must spend 6.011 hours on leisure activities

to be in the group of adults who spent the highest 3% of the time in a day in such activities.

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An adult living in a household with no young children must spend approximately 6.95 hours on leisure activities to be in the group of adults who spent the highest 3% of time in a day on such activities.

To find the amount of time an adult must spend on leisure activities to be in the highest 3%, we need to use the z-score formula and find the corresponding value.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value we want to find, μ is the mean (4.5 hours), and σ is the standard deviation (1.3 hours).

Next, we find the z-score corresponding to the highest 3% by subtracting 3% from 100% (97%). Using a z-table or a calculator, we find that the z-score corresponding to 97% is approximately 1.8808.

Now, we can solve for x:

1.8808 = (x - 4.5) / 1.3

Multiply both sides by 1.3:

1.8808 * 1.3 = x - 4.5

2.44504 + 4.5 = x

x ≈ 6.94504

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The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with 100 and 11. The proportion of adults with scores above 110 is closest to 0.25 b.0.33. c0.14. 4.0.18 Colleges often rely heavily on raising money for an "annual fund" to support operations. Alumni are typically solicited for donations to the annual fund. Studies suggest that the graduate's smal income is a good predicar of the amount of money he or she would be willing to donate, and there is a reasonably strong, positive, linear relationship between these variables. In the stadies described a annual income is an explanatory variable. b the correlation between annual income and the size of the donation is positive. c the size of the donation to the annual fund is the response variable. d. All of the answer options are correct.

Answers

The proportion of adults with scores above 110 is 0.1841.

Here, we have,

It should be noted that from the information illustrated, Wechsler Adult Intelligence Scale scores are approximately Normal, with a mean of 100 and a standard deviation of 11.

The formula to use will be:

P(a < Z < b) = P(Z < b) – P(Z < a)

a = lower value

b = higher value

Z = z value

It should be noted that the proportion of adults with scores above 110 will be:

= P(x > 110)

= P(z > 110 - 100/11)

= P(z > 0.90)

= 1 - 0.8159

= 0.1841

Therefore, this illustrates those that has scores of more than 110.

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