1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katovenus [111]
3 years ago
7

Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
A linear function is one whose formula can be written in the form

Ax + By = C  where A, B, C are real numbers and A, B are not both 0.  (This is standard form, too.)

\frac{x+4}{2} = \frac{y-4}{3}

"Cross multiply."

3(x+4) = 2(y-4) \\ 3x+12 = 2y-8

Subtract 12.

3x=2y-20

Subtract 2y.

3x-2y=-20

This matches up with standard form with A = 3, B = -2, C = -20.

It's a linear function.
You might be interested in
Pls Helpp meee Which one is it??? I will give u brainliest
olya-2409 [2.1K]

Answer:

The answer will be the last one which means that will 2

Step-by-step explanation:

You need to find

(f.g)=2 or (f.g) (-2)=2

5 0
3 years ago
Help please due now I only have 10 mins..Help please!!! I only have 10 mins!!!​
fomenos

Answer:

a is equilateral and right, b is scalene and acute, c is equilateral and acute, d is isoseles and right, e is scalene and either acute or right, f is equilateral and acute, g is scalene and acute, and h is scalene and obtuse

Step-by-step explanation:

8 0
2 years ago
One hundred items are simultaneously put on a life test. Suppose the lifetimes
romanna [79]

Answer:

a) \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b) \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( i-1 )st and the ith failures. Then, the T_{i} are independent with \mathrm{T}_{\mathrm{i}} being exponential with rate \frac{(101-i)}{200} .

Therefore,

a) E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]

=\sum_{i=1}^{5} \frac{200}{101-i}

\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}

b)

The variance is given by, \mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]

\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}

7 0
3 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f i
storchak [24]

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for X? 3x−8/2=x−6
    8·1 answer
  • I need assistance with this.​
    8·2 answers
  • I need 20 characters idk why, but I need a step by step explanation 5y-3(2-y)=10​
    11·1 answer
  • Slope-intercept of 5x-7y=-45
    11·1 answer
  • Drag the tiles to the correct boxes to complete the pairs.
    6·1 answer
  • Step by step explanation
    14·1 answer
  • Bekka wants to end her hexagonal garden with brick all's has a = the brick house who dollars prefer it how much will it cost to
    12·1 answer
  • The baseball team is selling snacks at a game for a fundraiser. They purchased pretzels, chips, and candy bars to sell. They spe
    6·1 answer
  • Harold's kitten drinks 5/8 cup of water every day. One cup is approximately equal to 236.4 millilitres which measurement is clos
    15·1 answer
  • Question is attached.<br>Step by step explanation only!​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!