Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?

y – 2 = 3(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y – 3 = 2(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)
y + y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis. = 3(x – 2)
y + y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis. = 2(x – 3)

The equivalent number of -1 is required from the expressions.

The correct option is  C. [tex]i^2[/tex].

Complex numbers are not real that means they cannot exist in actuality.

They are represented by the square root of a negative number.

[tex]i=\sqrt{-1}[/tex]

[tex]-i=-\sqrt{-1}[/tex]

[tex]i^2=(\sqrt{-1})^2=-1[/tex]

[tex]-i^2=-(\sqrt{-1})^2=-(-1)=1[/tex]

[tex]i^4=(\sqrt{-1})^2(\sqrt{-1})^2=-1\times -1=1[/tex]

So, only option C is correct.

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Answer:

No

Step-by-step explanation:

Given

[tex]Square\ Pizza = 49\%[/tex]

[tex]Soft\ Drink= 71\%[/tex]

Required

Are both events independent?

Let P(S) be the probability that a customer orders a square pizza.

[tex]P(S) = 49\%[/tex]

Convert to decimal

[tex]P(S) = 0.49[/tex]

Let P(D) be the probability that a customer orders a soft drink.

[tex]P(D) = 71\%[/tex]

Convert to decimal

[tex]P(D) = 0.71[/tex]

From the question, we have that:

[tex]P(S\ and\ D) = 0.38[/tex]

For events S and D to be independent:

The following condition must be true

[tex]P(S\ and\ D) = P(S) * P(D)[/tex]

Substitute values for P(S and D), P(S) and P(D)

[tex]0.38\ [\ \ ] 0.49 * 0.71[/tex]

[tex]0.38\ [\ \ ] 0.3479[/tex]

Complete the blank with [tex]\ne[/tex]

[tex]0.38\ \ne 0.3479[/tex]

Since both sides are not equal, then the events are not independent.

Answer:

B

Step-by-step explanation:

Formula for finding the volume of a cone:  [tex]V=\pi r^{2} \frac{h}{3}[/tex]

From the question, we can tell that the height, h, is equal to 2d or 4r.

h = 4r.

Substitute h into the volume formula:

[tex]V=\pi r^{2} \frac{4r}{3}[/tex]

Rearrange to get the final equation of:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Answer:

225

Step-by-step explanation:

9514 1404 393

Answer:

  D.  2,787.64 yd​

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...

  V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D

Answer:

B

Step-by-step explanation:

Answer:

The correct answer is B, 7 because l7l = 7

Step-by-step explanation:

The distance is from positive 7 to 0, not negative 7. We also know that the absolute value is the number of spaces away a number is from 0. So, the correct answer is B, 7 because 7 because l7l = 7.

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest!

Answer:

72

Step-by-step explanation:

Multiply 8 and n to get 8n

Multiply 3 and 192 to get 576

Write them equal to each other [tex]8n=576[/tex]

To isolate the variable divide by 8 on both sides

[tex]\frac{567}{8} =72[/tex]

Answer:

x= -5/2 (-2.5)

-2(3x+1)=17-4

-2(3x + 1) = 13

3x + 1 = 13/23x = -13/2 - 1

3x=-15/2

x=15/2/3

x=15/2x3

x=-15/6

x=-5/2

Answer:x= -5/2

Step-by-step explanation: −2(3x+1)+4=17

(−2)(3x)+(−2)(1)+4=17(Distribute)

−6x+−2+4=17 (−6x)+(−2+4)=17(Combine Like Terms)

−6x+2=17

−6x+2=17

−6x+2−2=17−2

−6x=15

−6x/−6

=

15/−6

x=−5/2

Answer:

f(x) approaches positive infinity as x approaches negative infinity; f(x) approaches positive infinity as x approaches positive infinity

Step-by-step explanation:

We have q(x)=3x^4+8x^3-13x^2-22x+24

The leading term of this polynomial is 3x^4 (it has the highest degree) where the degree is 4 [it is even] and the leading coefficient is 3 [it is positive]

Therefore the end  behavior of the polynomial is f(x) --> ∞ as x ----> - ∞ and f(x) ----->  ∞ as x --->  ∞

Answer:

four two six three this is answer

Answer:

the answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-3(4 - 3x) = 9x - 12

expand the problem

-12 + 3x = 9x - 12

subtract 12 from both sides

3x = 9x

subtract 9x from both sides

-6x = 0

divide both sides by -6

x = 0

Answer:

Step-by-step explanation:

Good luck

Mmssq

892

Answer:

-2x-6

Step-by-step explanation:

-2(x+3)= -2x -6

use distributive propriety of multiplication over addition

The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" it. The property has a formula, which is:

[tex]\sf{a(b+c)=ab+ac}[/tex]

So a got multiplied by b and c.

Similarly:

[tex]\sf{-2(x+3)=-2\cdot x - 2 \cdot3}[/tex]

Simplify:

[tex]\sf{-2x-6}[/tex]

Hence, the simplified answer is -2x - 6.

Answer:

It would be 16000

Step-by-step explanation:

have a great day :) brainliest would be nice too!

Answer:

no, bcoz -1/4 is to the right of -3/4

Answer:

3

Step-by-step explanation:

V of cylinder =π r^2 h

V=π r^2 (h/3)

the important part is the h and h/3

you have to multiply h/3 by 3 to get back h which would make them equal

π r^2 h = 3(π r^2 (h/3))

Answer:

600000000000

Step-by-step explanation:

Step-by-step explanation:

600,000,000,000

hope it helps!

Answer:

c≈12.57

Step-by-step explanation:

good luck :)

I'm not 100% sure

Answer:

20 more items

Step-by-step explanation:

The first plant produces 20 more items then second plant.

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

items produced by first plant is

8x + 15

let x = 1

8 x1 + 15

23

items produced by second plant

5x - 2

let x = 1

5 x 1 - 2 = 3

the difference in both plant is

23 - 3 = 20

Hence  first plant produce 20 more items than second plant.

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Answer:

A. enlargement.

Step-by-step explanation:

when you multiply a number by anything greater than one the number will go up. and if it is 1 or less than one the number will go down

Answer:

x=8

Step-by-step explanation:

Since it is an isosceles trapezium, we know that GF and DE are parallel, and that EF = GD. Since we know that co-interior angles always add up to 180 degrees, we know that:

Angle F (13x+4) + Angle E (9x) = 180

So we can write an equation for x and solve it.

13x+4+9x=180

22x + 4 = 180

22x + 4 - 4 = 180 - 4

22x = 176

22x/22 = 176/22

x = 8

Hope this helped!

Answer:

Step-by-step explanation:Answer Explanation

Correct answers:

$\left(241.42,\ 262.14\right)$

A 95% confidence interval for μ is (x¯−zα/2σn‾√,x¯+zα/2σn‾√). Here, α=0.05, σ=37, and n=49. Use Excel to calculate the 95% confidence interval.

1. Open Excel, enter the given data in column A, and find the sample mean, x¯, using the AVERAGE function. Thus, the sample mean, rounded to two decimal places, is x¯=251.78.

2. Click on any empty cell, enter =CONFIDENCE.NORM(0.05,37,49), and press ENTER.

3. The margin of error, rounded to two decimal places, is zα/2σn‾√≈10.36. The confidence interval for the population mean has a lower limit of 251.78−10.36=241.42 and an upper limit of 251.78+10.36=262.14.

Thus, the 95% confidence interval for μ is (241.42, 262.14).

Answer:

1 1/3 chocolate chips

Step-by-step explanation:

you have to divide 4 2/3 ÷ 3 1/2

change mixed number to improper fraction

14/3÷7/2

KFC-Keep Flip Change

14/3 × 2/7 = 28/21

28÷21= 1 1/3

The question is incomplete, the complete question is;

Which statement best explains why the Exodus is an important event in the Jewish religion?

A) It recalls the journey of the Hebrews from Ur to Canaan.

B) It supported the idea that Canaan was the Promised Land.

C) It describes the important role of Abraham in the Jewish faith.

D) It tells the history of the migrations and settlements of the Jewish people.

Answer:

B) It supported the idea that Canaan was the Promised Land.

Step-by-step explanation:

The Jewish religion holds Canaan as the land promised to Abraham and his seed after him. This was actually a promise that Yahweh made to the Israelite nation before the nation was born.

The promise was made to Abraham. Yahweh also told Abraham that his seed will be enslaved for four hundred years after which He will bring them out and resettle them in the promised land.

The exodus reminds the Hebrews that Yahweh fulfilled His promise of bringing them into the promised land.

Answer:

B

Step-by-step explanation:

Answer:

The answer is : x > 2

Answer:

f(x) + g(x) = x^2 + 3x + 5

Step-by-step explanation:

In order to do this, you need to substitute f(x) for 3x +5 and substitute g(x) for x2 (which I'm assuming is x squared, which I will be wrIting as x^2. If this is not the problem, please correct me)

f(x) + g(x) = 3x + 5 + x^2

Now, you need to put the varibles in decreasing order of exponents.

f(x) + g(x) = x^2 + 3x + 5

Answer:

Step-by-step explanation:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Answer:

25 miles

Step-by-step explanation:

Step one:

given data

We are told that   20 gallons of gas can go 410 miles

what we want is the number of miles that 50 gallons can go

Step two:

so

20 gallons will go 410 miles

50 gallons will go x

cross multiply

20x=50*40

divide both sides by 20

x= 500/20

x=25 miles

Step-by-step explanation:

Number of ways = 9C2 = 9 * 8 / (1 * 2) = 36.

Correct Answer Auto Detected:

36

Answer:

All numbers less than 2 or [tex](-\infty, 1][/tex] or [tex](-\infty, 2)[/tex]

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be [tex]x[/tex].

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself [tex]\Rightarrow x +x =2x[/tex]

Number subtracted from six = [tex]6-x[/tex]

As per question:

[tex]2x<6-x\\\Rightarrow 3x<6\\\Rightarrow x<2[/tex]

So, the answer is:

All numbers less than 2 or [tex](-\infty, 1][/tex] or [tex](-\infty, 2)[/tex].

Answer:

they both have a 1

Step-by-step explanation: