The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? –4 –2 20 22

Answers

Answer 1

Answer:

22

Step-by-step explanation:

Hello!

We can convert it into slope-intercept form.

Slope - Intercept Form: [tex]y = mx +b[/tex]

m = slopeb = y-intercept

Converty - 1 = -7(x - 3)y = -7x + 21 + 1y = -7x + 22

The y-intercept of the line is 22.


Related Questions

Without actual calculating the cubes, evaluate using identities:
[tex]-11^3+8^3+3^3[/tex]

Answers

Answer:

-792

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]


[tex]\mathsf{-11^3 + 8^3 + 3^3}[/tex]

[tex]\mathsf{= -11\times -11\times -11 + 8\times8\times8 + 3\times3\times3}[/tex]

[tex]\mathsf{= 121\times -11+ 64\times8+9\times3}[/tex]

[tex]\mathsf{= -1,331 + 512 + 27}[/tex]

[tex]\mathsf{= -819 + 27}[/tex]

[tex]\mathsf{= -792}[/tex]


[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{-792}}}\huge\checkmark[/tex]


[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Ethel is in town for the day making several purchases on her credit card. She spends $154.18 on groceries and $122.79 on tops at a sale at the local dress shop. Then she goes by to pay the utility bill, which is $219.54. How much did she charge to the nearest dollar?​

Answers

Answer:

$497

Step-by-step explanation:

Added all three purchases (154.18 + 122.79 + 219.54) will give you $496.51. Rounded to the nearest dollar, you get $497.

You got this! Good luck!

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

Answers

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

System of inequality

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

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Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?

Answers

Answer: A translation 1 unit to the left

Step-by-step explanation:

See attached image.

what statement is true

Answers

Answer:

D. Both graphs are exponential functions.

Step-by-step explanation:

Hope it helps :)

(cot A - tan A)cos A = cosecA-2sinA

Answers

Prove the given

(cot A - tan A)cos A = cosec A - 2sinA

Use identities

sin²A + cos²A = 1cotA = cosA/sinAtanA = cosA/sinAcosecA = 1/sinA

Solution

Simplify the LHS by using the identities above to get the RHS:

(cot A - tan A)cosA = (cosA/sinA - cosA/sinA)cosA =                         Identities 2 and 3(cosA/sinA)cosA - (cosA/sinA)cosA =               Distributecos²A/sinA - sinA =                                            Simplify/cancel(1 - sin²A)/sinA - sinA =                                       Identity 11/sinA - sin²A/sinA - sinA =                                Distribute1/sinA - sinA - sinA =                                          Simplify/cancel1/sinA - 2sinA = cosecA - 2sinA                                                   Identity 4    

Proved

Fill in the blank with letter of the word that completes the sentence.
The sides of an angle are

Answers

An angle is the union of two rays that share a common endpoint. The rays are called the sides of the angle

Given w =startroot 2 endroot (cosine (startfraction pi over 4 endfraction) i sine (startfraction pi over 4 endfraction) ) and z = 2 (cosine (startfraction pi over 2 endfraction) i sine (startfraction pi over 2 endfraction) ) , what is w – z expressed in polar form?

Answers

w-z can be expressed in ploar form as √2∠(7π/4)

Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.

 Given: w = √2∠(π/4)

 z = 2∠(π/2)

And you are asked to find the difference w-z in polar form.

In rectangular form, ...

 w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i

 z = 2∠(π/2) = 2(0 +i·1) = 2i

Then the difference is ...

 w -z = (1 +i) -(2i) = 1 -i

You may notice this is the conjugate of w, so will have the opposite angle:

w - z = w* = √2∠(-π/4) = √2∠(7π/4)

In the terms used by the problem statement, ...

 w -z = √2(cos(7π/4) +i·sin(7π/4))

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8. In AABC, LA is a right angle and mzB = 45°. Find BC.

11√2 ft
√22 ft
2√11 ft
11 ft

Answers

Answer:

BC = 11[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{11}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 11[tex]\sqrt{2}[/tex]

If f(a) = 2a ^ 3 + 3a ^ 2 + 5 , find f(- 2)

Answers

Answer: 1

Step-by-step explanation:

Just plug in -2 anywhere you see an a

[tex]f(a)=2a^3+3a^2+5\\f(-2)=2(-2)^3+3(-2)^2+5\\f(-2)=2(-8)+12+5\\f(-2)=-16+12+5\\f(-2)=1[/tex]

⊰________________________________________________________⊱

Answer [tex]\curvearrowright[/tex] [tex]\\[/tex]

f(-2)=1

Step-by-step explanation [tex]\curvearrowright[/tex]

Given,

Original Expression = [tex]\sf{f(a)=2a^3+3a^2+5}[/tex]

To find,

f(-2) = ??

                                           All work is shown here. :))

[tex]\Large\begin{gathered} \boldsymbol{\sf{Plug \ in \ the \ number \ for \ a, \ which \ is \ -2 (it's \ given \ to \ us). Then}}\\ \boldsymbol{\sf{evaluate,}} \\ \curvearrowright\\\boldsymbol{\sf{Now \ substitute \ -2}} \\\curvearrowright\\\sf{2(-2)^3+3(-2)^2+5}\\\sf{2*(-8)+3*4+5}\\\sf{}-16+12+5=-4+5}\\\underline{\boxed{\sf{f(-2)=1}}}\end{gathered}[/tex]

Done !!

⊱______________________________________________________⊰

[tex]\tiny\pmb{CALLIGRAPHY}[/tex]

I need help with number 13 and 14

Answers

Answer:

13)x=59 answer is d 14)x=24

Step-by-step explanation:

180-116(angles on a striaght line sum to 180)180-116=64

angle in a triangle sum to 180

64+x=180

64+57=121

180-121=59

x=59

question 14 answer is 24

90+66=156

sum of a triangle is 180

180-156=24

find x and y

pls help

Answers

Answer:

x = 14

Step-by-step explanation:

110 + 5x = 180

-110 -110

5x = 70

divide by 5 on both sides

x = 14

to find y add 70 + 40 + missing angle = 2y

missing angle is 70 because 70+40+70 = 180

so 2y = 110

y = 55

Answer:

x=14

y=55

Step-by-step explanation:

5x and  110 form a straight line so they add to 180

5x+110 =180

5x = 180-110

5x = 70

Divide by 5

5x/5 = 110/5

x = 14

We know the exterior angle of a triangle is equal to the sum of the two opposite interior angles

40 + 5x = 2y

Substitute in 14 for x

40 +5(14) = 2y

40 + 70 = 2y

110 = 2y

Divide by 2

110/2 =2y/2

55 = y

One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Juan and Charlie, finished the race. Juan finished 5th and Charlie was the winner. All the riders' countries of origin and finishing times were recorded on the race register. No two riders who finished had the same time and those who did not finish were recorded as DNF.
Based on this information, determine if each set is well-defined. Yes or No

The set of riders who finished minutes or more after the winner (Yes or No)
The set of the three least tired riders at the end (Yes or No)
The set of riders with the best-looking bicycles (Yes or No)
The set of riders who finished the race (Yes or No)
The set of countries of origin of the riders that didn't finish (Yes or No)

Answers

Answer:

Finished minutes or more: Yes

Three least tired: No

Best looking bikes: No

Finished the race: Yes

Countries of origin of riders who didn't finish: Yes

Step-by-step explanation:

Things displayed on the board: name of rider, country of origin, finishing time

Finished minutes or more: anyone who finished who wasn't in first

Three least tired: subjective information, not on the board

Best looking bikes: subjective information, not on the board

Finished the race: everyone who doesn't have DNF next to their name

Countries of origin of riders who didn't finish: countries of anyone with DNF next to their name

Simplify each expression by combining like terms
-5(n-5)+3(n+1)

Answers

Answer:

-2n + 28

Step-by-step explanation:

-5(n-5) + 3(n+1)


Let's distribute!

-5n + 25 + 3n + 3

Now we can add the like terms (n's with n's and numbers with numbers)

-2n + 28

Answer: -2n+28

Step-by-step explanation:

We can use the distributive property to solve this problem.

-5n+25+3n+3

-2n+28

The radius of a car’s tire is 47.1 cm. Find the circumference of the tire. (This is the distance that the car must drive to rotate the tire exactly once.)

Answers

The circumference of the tire as described in the task content is; 295.8cm.

What is the circumference of the tire?

It follows from the task content that the tire in discuss is circular and has radius; 47.1cm.

Hence, by the circumference formula; we have;

Circumference = 2πr = 2 × 3.14 × 47.1

Circumference = 295.8cm.

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if a 20 ft tree casts a 15ft shadow, how long a shadow is cast​

Answers

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

what is the formula for finding the area of a sphere​

Answers

Answer: [tex]4\pi r^{2}[/tex]

Step-by-step explanation:

Area of a circle is pi r squared

it’s 4 pi r squared

Twice the sum of two consecutive integers is 22. What are the two integers?

Answers

The consecutive two integers are 5 and 6

Linear equations

Let the two consecutive integers be (x+1) and (x). If twice the sum of two consecutive integers is 22 then;

2(x+1+x) = 22

x+x+1 =  22/2

2x + 1 = 11

Subtract 1 from both sides

2x = 11 - 1

2x = 10

x = 5

Hence the consecutive two integers are 5 and 6

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the cost of 15kg of apples is 262.50. find the cost of 25kg of apples

Answers

Answer:

437.50 is the cost of 25kg of apple's.

What are the first five terms, a1, a2, a3, a4, a5, of the sequence defined by a Subscript n = StartFraction n squared minus 9 Over n cubed + 3 EndFraction, and how can the sequence be described?
PLEASEEE HELP !!

Answers

Answer:

Step-by-step explanation:

So if you look at the numerator the degree is 2, and if you look at the numerator of the denominator, it's 3. This means that the value of the denominator will grow faster than the numerator, so it will diverge.

To find the first 5 terms simply plug in 1, 2, 3, 4, and 5 as n

[tex]a_1=\frac{1^2-9}{1^3+3} = \frac{-8}{4} = -2}\\a_2 = \frac{2^2-9}{2^3+3} = \frac{-5}{11} = -\frac{5}{11}\\a_3 = \frac{3^2-9}{3^3+3} = \frac{0}{30} = 0\\a_4 = \frac{4^2-9}{4^64+3} = \frac{7}{67} = \frac{7}{67}\\a_5 = \frac{5^2-9}{5^3+3} = \frac{16}{128} = \frac{1}{8}[/tex]

It should converge to a limit of 0, since the denominator is growing faster than the numerator

Answer:

C

Step-by-step explanation:

Martina runs 3/1/2 miles every day for 7 days . How many miles does she run altogether

Answers

Answer:

24.5

Step-by-step explanation:

All you have to is Multiply 3 1/2 by 7

3 1/2 x 7= 24.5

How does an earthquake with a magnitude of 7 on the Richter scale compare to one with a magnitude of 5?
50 times stronger
100 times stronger
20 times stronger
2 times stronger

Answers

Answer:

100 times stronger

Step-by-step explanation:

The Richter scale is a measurement system for the strength of Earthquakes. The most powerful Earthquakes are at 5-10, while the least powerful ones stay from 1-4.

This is how the Richter scale works:

An earthquake with a magnitude of 2 is 10 times more powerful than an earthquake with a magnitude of 1. Each number is 10 times more powerful than the last.

So, simple math tells us that Magnitude six is 10 times more powerful than magnitude five, and magnitude seven is 100 times more powerful than magnitude 5..

Listed below are measured amounts of caffeine​ obtained in one can from each of 14 brands. Find the variance, for the given sample data and leave the answer to the nearest hundredths.

57, 34, 30, 44, 33, 41, 60, 47, 56, 41, 31, 22, 12, 40.

Answers

Answer:

And here's your answer: 39.14

Step-by-step explanation:

First, add all the numbers up

then divide them all by 14

Evaluate the expression for s = -15. -S= ​

Answers

Answer:

  -S = 15

Step-by-step explanation:

You are asked to find the opposite of the given value.

Opposite

The opposite of an integer value is obtained by changing its sign.

  S = -15

  -S = -(-15) = 15

__

Additional comment

Equivalently, you are multiplying by -1. The product of an even number of minus signs is a plus sign. We usually don't write the plus sign for a numerical value.

THE QUESTION IS DOWN BELOW.
major points when given branliest

Answers

The ratios are Surface area ⇒ 4 : 25 Height ⇒ 2 : 5 and Volume ⇒ 8 : 125

How to determine the ratios?

The scale factor is given as:

m : n = 2 : 5

For the area, we take the square of the ratios.

i.e.

Area = 2^2 : 5^2

Evaluate

Area = 4 : 25

For the volume, we take the cube of the ratios.

i.e.

Volume = 2^3 : 5^3

Evaluate

Volume = 8 : 125

The given scale factor can be used for the height of the model and the original bicycle

Hence, the ratios are

Surface area ⇒ 4 : 25

Height ⇒ 2 : 5

Volume ⇒ 8 : 125

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A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches. If one item is chosen at random, what is the probability that it is less than 11.9 inches long? Round your answer to 4 decimal places.

Answers

The probability that it is less than 11.9 inches long will be 0.11304.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.

If one item is chosen at random.

Then the probability that it is less than 11.9 inches long will be

Then the z-score will be

z = (11.9 – 14.2) / 1.9

z = –1.21

Then the probability will be

P(x < 11.9) = P(z < –1.21)

P(x < 11.9) = 0.11304

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In the coin flipping lab, suppose that you simulated the flipping of a weighted coin 30 times and got 5 heads and 25 tails. What is your estimated probability for P(H)?

Answers

The estimated probability for P(H) is 0.17.

What is Probability ?

Probability is the stream in mathematics that studies about the likeliness of an event to happen.

It is given that

Total number of times coin is flipped = 30

Total number of times the coin gave heads = 5

Total number of times the coin gave tails=25

The P(H) = Total no. of Heads /  Total outcomes

P(H) = 5 / 30

= 1/6

= 0.1666

≈ 0.17

Therefore the estimated probability for P(H) is 0.17.

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Based on the family the graph below belongs to, which equation could represent the graph?

Answers

Answer:

the first option I believe

In the parallelogram above what is the value of x?Please explain for brainlest

E.36
F.18
G.6
H.5

Answers

Answer:

[tex]\boxed{E.~36}[/tex]

Step-by-step explanation:

Supporting drawing in the attachment.

The sum of the measures of two consecutive angles is equal to 180°.

3x° + 2x° = 180°

5x° = 180°   I ÷ 5

x° = 36°

E.  36

Answer:

36

Step-by-step explanation:

I also did this for shsat

In analyzing hits by certain bombs in a​ war, an area was partitioned into ​regions, each with an area of km2. A total of bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly 3 hits.

Answers

x is 3 that is the number of hits

e = 2.71828 is the Euler number

μ is the mean in the given interval = 0.967

There is 5.72% probability that a randomly selected region had exactly three hits.

Let X be the random variable denoting the number of bombs hitting the selected sample.

The following formula determines the likelihood that x in a Poisson distribution corresponds to the number of successes of a random variable.

P(X = x) = e^₋μ × μˣ / (x)!

Here, X is the random variable denoting the number of bombs hitting the selected sample.

μ is the mean number of hits per region.

e is the constant value.

Since 535 bombs struck a total of 553 regions, the ratio of strikes per region to the total number of regions is 535 to 553.

μ = 535 / 553

μ = 0.967

Assume that we want to find the probability that a randomly selected region had exactly 3 hits.

which means, P(X = 3)

P(X = x) = e^₋μ × μˣ / (x)!

P(X = 3) = e^₋0.967 × (0.967)³/ (3)!

             = 0.057

There is approximately 5.72% probability that a randomly selected region had exactly three hits.

Your question was incomplete. Please find the missing content here.

In analyzing hits by certain bombs in a​ war, an area was partitioned into ​553 regions, each with an area of 0.95 km². A total of 535 bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly 3 hits.In applying the Poisson probability distribution formula,  P(X) = e^₋μ × μˣ / (x)!, identify the values of μ, x and e. Also , briefly describe what each of those symbols represent.

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