Find the slope and y intercept for each equation.

Y = -2 + 4x

Y = -x - 4

Answer:

k=-2 and h = 1

Step-by-step explanation:

I believe someone already added these answers.  I'm actually not clear how they can be easily derived, but in an effort to better understand the impact of both, I took a few points and added them to DESMOS, along with the equation and sliders for h and k.  See the attached.

I just moved the sliders and quickly found that k = -2, and h = 1, match the data well.

So I can't explain a mathematical process, but thanks to DESMOS we can see a solution.

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The quadratic equation is x²+10x+26=0

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: Complex root of a quadratic equation is 5+i

And we know that complex roots always occur in pairs.

Thus the other root must be its conjugate as 5+i

The sum of roots will be given by 5+i+5-i=10

and product of the roots is given by (5+i) (5-i)=25-(-1)

                                                                           =26

∴ The quadratic equation is x²+10x+26=0

Hence, The roots are 5+i , 5-i

Learn more about quadratic equations here:

https://brainly.com/question/17177510

#SPJ1

The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:

\(81x^6 - (y + 1)^2\)

Replacing U and V:

\(81(3x^3)^2 - (V)^2\)

Simplifying:

\(81 \times 9x^6 - V^2\)

\(729x^6 - V^2\)

Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)

In this way, we can represent the original expression in a simplified form using the assigned values for U and V.

For similar question on expression.

https://brainly.com/question/723406

#SPJ8

Consider the expression: \(81x^6 - (y + 1)^2\)

If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

Answer:

I believe the answer is 47. Forgive me if I'm wrong

The actual value of the sample average may vary due to chance, and the typical distance it is away from the expected value is about 0.24 feet.

Given that a large population of Indian elephants has an average height of 9 feet with an SD of 0.75 feet, we can use this information to answer the following questions.
If 10 elephants are selected at random, the expected average height of these 10 elephants is still 9 feet. This is because the population average height of 9 feet remains unchanged, even if we randomly select a smaller group of elephants.
However, the actual value of the sample average may vary due to chance. This variation in the sample average is measured by the standard error of the mean (SEM). The SEM is calculated as the standard deviation of the sample divided by the square root of the sample size. For a sample size of 10, the SEM would be 0.24 feet.
Therefore, the typical distance the sample average is away from its expected value is about 0.24 feet. This means that if we were to repeat this random sampling process many times, the average height of the 10 elephants would vary by approximately 0.24 feet on average.
In summary, if 10 elephants are randomly selected from a large population of Indian elephants with an average height of 9 feet and an SD of 0.75 feet, we can expect the average height of these 10 elephants to be 9 feet.

Learn more about actual value here

https://brainly.com/question/29112017

#SPJ11

The value of y is 8.4375

2/7.5 = 2.25/y

Do a cross multiplication,

2/7.5 = 2.25/y

=> 20/75 = 2.25/y

=> 75 . 2.25 = 20y

=> 168.75 = 20y

Reverse the equation,

168.75 = 20y

=> 20y = 168.75

Find the value of y,

20y = 168.75

=> y = 8.4375

y = 8.4375

In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

A) We can look at the coordinates of x in the horizontal axis and the coordinates of y in the vertical axis.

Then, we can see that A has coordinates (0,1), B has coordinates (1,2), C has coordinates (2,3) and D has coordinates (3,4).

We can then complete the table as:

Point | x | y

A | 0 | 1

B | 1 | 2

C | 2 | 3

D | 3 | 4

B) If we look at the pattern we can see that the points form a line.

A line will have a constant rate of change. We can see that for each unit increase of x, there is a increase of one in y, and this happens for all the points, so the rate of change is constant.

C) If we continue the pattern, we can create another point from D by adding one unit in x and one unit in y. This way we mantain the same rate of change (one unit of y per unit of x) and find new points.

With this method, we can create the following points: E(4, 5), F(5, 6) and G(6, 7).

We can plot them as:

Answer:

x=8

Step-by-step explanation:

10^2=6^2+x^2

100=36+x^2

100-36=x^2

64=x^2

square root of 64 is 8

Answer:

h²=p²+b²

10²=6²+x²

100-36=x²

x=√64=8

Answer:

\(a_{n}\) = 5\(a_{n-1}\)

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5

Thus the sequence is geometric with recursive formula

\(a_{n}\) = 5\(a_{n-1}\)

9514 1404 393

Answer:

  b = 16.5

Step-by-step explanation:

Multiply the equation by 11b/9.

  b = 13.5(11/9)

  b = 16.5

Answer:

(2,7)

Step-by-step explanation:

Answer: (2,9)

Step-by-step explanation:

\( {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = 2 \: \: or \: \: x = 6\)

x = 2, x = 6

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

wouldn't it just be the same? It would still be 20a+32

Answer:

4(5a+8)

Step-by-step explanation:

Factor 20a+32

20a+32

=4(5a+8)

Answer:

D-two -fold

Step-by-step explanation:

Sophie is constructing a skateboard ramp. She can cut 10 two-fifths-foot pieces from a four-foot piece of wood.

Therefore,

Total number of  piece of wood = 4ft

The number of  pieces can she cut from a 4 ft piece of wood = 2/5

Based on the given conditions, formulate: 4 ÷ 2/5

Divide a fraction by multiplying its reciprocal: 4 × 5/2

Cross out the common factor

2 × 5

= 10.

Hence, Sophie is constructing a skateboard ramp. She can cut 10 two-fifths-foot pieces from a four-foot piece of wood.

To learn more about fraction, refer to:

https://brainly.com/question/17220365

#SPJ2

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

Learn more about Revaluation Surplus  here :

https://brainly.com/question/32374882

#SPJ11

The minimum required sample size is 47 as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval margin of 0.06, we can use the formula:

Margin of error = z* (standard deviation / sqrt(sample size))

where z is the z-score for the desired confidence level, which for a 99% confidence interval is 2.576.

Plugging in the given values, we get:

0.06 = 2.576 * (0.25 / sqrt(sample size))

Solving for the sample size, we get:

sample size = (2.576 * 0.25 / 0.06)^2

sample size = 89.59

Rounding up to the nearest whole number, the minimum required sample size is 90.

Therefore, we need to take a sample of at least 90 roof hangers to estimate the mean tensile strength with a 99% confidence interval margin of 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval and a margin of error smaller than 0.06, you'll need to determine the minimum required sample size.

For a 99% confidence level, the Z-score (critical value) is approximately 2.576.

The known standard deviation is 0.25. The desired margin of error is less than 0.06. Use the formula:

Margin of Error = Z-score * (Standard Deviation / sqrt(Sample Size))

Rearrange the formula to find the sample size:

Sample Size = (Z-score * Standard Deviation / Margin of Error)^2

Sample Size = (2.576 * 0.25 / 0.06)^2

Sample Size ≈ 46.24

Since you cannot have a fraction of a sample, round up to the nearest whole number. The minimum required sample size is 47.

Visit here to learn more about Standard Deviation:

brainly.in/question/55758939

#SPJ11

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

Learn more about claim in: https://brainly.com/question/22898077
#SPJ1

No, the instructor's claim is NOT valid. See   the explanation below.

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

σ = √(p₀(1 - p₀) / n)

where:

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

Learn more about claim:
https://brainly.com/question/30297092
#SPJ1

Answer:

n+(-7)= choose a letter to replace it with the sum

Answer:

If both spouses are under the age of 65 then it'll take 1200 weeks

Step-by-step explanation:

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

Learn more about independent variable here

https://brainly.com/question/29430246

#SPJ4

Answer:

Step-by-s                                                             c mxc vmxc vmx cv xmcv xc vmx cvmx cmv xmcv m                                                                                                    

Answer: c mxc vmxc vmx cv xmcv xc vmx cvmx cmv xmcv m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is how it should've been:

Step 1:

Step 2:

Step 3:

The actual answer is 0.395.

Answer:

21360.9999

Step-by-step explanation:

Answer:

p = -1

Step-by-step explanation:

p - 3 = -4

   +3     +3

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

p = -1

Answer: The answer is p = -1.