PLEASE HELP FAST!!

Beginning with the graph of f(x) = x2, what transformations are needed to form g(x) = 3(x + 2)2 – 1?

The graph of g(x) is narrower than f(x) and is shifted to the right 2 units and down 1 unit.
The graph of g(x) is narrower than f(x) and is shifted to the left 2 units and down 1 unit.
The graph of g(x) is wider than f(x) and is shifted to the left 2 units and down 1 unit.
The graph of g(x) is wider than f(x) and is shifted to the right 2 units and down 1 unit.

Answer:

43

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Well, I used the process of elimination at first. I realized that the numbers that mattered in the question were even numbers therefore the only one that would not end in the even number once I added "6" to the next 5 numbers, would be number 43.

Answer:

$211082.7

Step-by-step explanation:

Step one:

Given data

Principla= $4,300

interest= 7.5%

time = 22 years

Step two:

the compound interest is

\(A= P(1+r)^t\\\\A= 4300(1+0.075)^2^2\\\\A= 43000(1.075)^2^2\\\\A=43000*4.9089\\\\\)

A=$211082.7

Answer:

k/20

Step-by-step explanation:

Answer:

To find the value of "t"

Step-by-step explanation:

5t -1  =   6

   +1     +1

5t     =  7

5         5

t   = 7

      5

Simplify

t = 1   2/5

RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

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Answer:

40 tickets

Step-by-step explanation:

2800 = 70x

x is the number of tickets. You have to solve for x

Divide each side by 70

2800/70 = 70x/70

40 = x

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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The solutions to the system of equations are:(2, -8) and (-5.5, -4.25)

We are given two equations:

y = x² + 3x - 18 ---(1)

x + 2y + 14 = 0 ---(2)

We can use graphical method to solve this system of equations:

From the graph of the sytsem, we have

(x, y) = (2, -8) and (-5.5, -4.25)

So, the solutions are (2, -8) and (-5.5, -4.25)

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Answer:

B should be 3 inches long because the area of the square above is 48 inches squared, so that long side is probably 8. B is 3 inches long. As for A, this should be simple. since we know the longer side of the room has the area of 27, we can tell the length(longest side) is 9. 14 minus 9 is equal to 4. A's width is 4 inches long.

Step-by-step explanation:

for the rest, since we know one of the widths is 6 inches, we know that the length of the room with an area of 32 inches is 8. therefore, since 8 times 4 equals the number 32, C is 4 inches long. back to B. since we know that c is 4 inches long and that there is a length of 11 inches, we can tell the longest side of room A is 7. 4 Times 7 equals 28, so B is 28 inches squared.

The proof of the exterior angle has been done below

The exterior angle theorem can be proven through the properties of triangles and angles.

Consider a triangle ABC with exterior angle A and remote interior angles B and C. Let's extend line segment AB to form a straight line with point D such that line AD is perpendicular to line BC.

Now we have two right triangles, triangle ABD and triangle ACD. The sum of the interior angles in a triangle add up to 180 degrees, so we can write:

B + D + 90 = 180

and

C + D + 90 = 180

Adding the two equations, we get:

B + C + 2D + 180 = 360

Since angle D is perpendicular to both lines BC and AD, it forms right angles with both. This means angle D is equal to 90 degrees, so we can simplify the equation:

B + C + 180 = 360

Finally, we can see that the sum of the remote interior angles B and C is equal to the measure of the exterior angle A:

A = B + C

This is the exterior angle theorem, which states that the measure of an exterior angle is equal to the sum of the measures of the remote interior angles.

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Answer:

soulution

Step-by-step explanation:

just took it

Answer: u would have to use the slope intercept form which is m=y²-y¹/x²-x¹

Step-by-step explanation:

Recall that the discriminant of a quadratic equation:

is:

Also, if:

Now, notice that the discriminant of the given equation is:

Simplifying the above result we get:

Since 24>0, we get that the given equation has 2 different real roots.

Answer: The given equation has 2 different real roots.

Hi there! Hopefully this helps!

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1 / 2 / 3 = 0.16666666666.  

0.16666666666 in fraction form:  1/6.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Firstly we need to divide 1 into halves (halves is "2", 1 / 2 = 0.5.)

Now that we have 0.5, we need to divide 0.5 by 3.

0.5 / 3 = 0.16666666666

Answer:

1/6

Step-by-step explanation:

Hey there!

Well let's start with,

1 ÷ 2 = .5

.5 ÷ 3 = .1666666 repeating

As a fraction it would be 1/6

Hope this helps :)

Answer:

\( \sqrt{30} \)

The series converges for x values that satisfy 2 < x < 6. This indicates that the series converges for all x values between 2 and 6, excluding the endpoints.

To determine the values of x for which the series converges, we need to examine the behavior of the series as n approaches infinity. The given series is:

∑ [n=0 to ∞] (x - 4)^n 2^n

This is a geometric series with a common ratio of (x - 4)/2. The series converges if the absolute value of the common ratio is less than 1. So we have:

|(x - 4)/2| < 1

Now, we can solve this inequality to find the values of x that satisfy the convergence condition.

1. When the common ratio is positive:

(x - 4)/2 < 1

x - 4 < 2

x < 6

2. When the common ratio is negative:

-(x - 4)/2 < 1

x - 4 > -2

x > 2

Therefore, the series converges for x values that satisfy 2 < x < 6.

In interval notation, we can express the values of x as (2, 6). This indicates that the series converges for all x values between 2 and 6, excluding the endpoints.

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Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13

The distance between the points H (-9, 1), and K (-1, 8) in the coordinate plane, obtained using the distance formula is; Distance: 10.63

The distance formula is a formula that is used to find the distance between two points on the coordinate plane.

The specified points are; H = (-9, 1), and K = (-1, 8)

The distance formula can be used to calculate the distance between the points as follows;

The distance formula is; d = √((x₂ - x₁)² + (y₂ - y₁)²)

Where; (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

When, (x₁, y₁) = (-9, 1), and (x₂, y₂) = (-1, 8), we get;

d = √((-1 - (-9))² + (8 - 1)²) = √(8² + 7²) =

√(8² + 7²) = √(64 + 49) = √(113) ≈ 10.63 (rounded to the nearest hundredth)

The distance between the points is about 10.63 units

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Answer:

3n+m+2p

Step-by-step explanation:

group all like terms and solve.

so,

4n-n = 3n

-m + 2m = m

3p - p = 2p

Then, group them together: 3n+m+2p

Answer:

B

Step-by-step explanation:

Answer:

has one solution which is 2

Step-by-step explanation:

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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Answer:

4

2 + 2 = 4

took me longer then I expected

The οnly sοlutiοn is sinθ = 0, θ = kπ, where k is any integer.

Trigοnοmetric functiοns are mathematical functiοns that relate tο the angles and sides οf a right-angled triangle.  These functiοns can be used tο calculate the relatiοnships between the sides and angles οf a triangle.

1a) Using inverse tangent functiοn,

θ = tan^{-1}(-2/3) ≈ -0.93 + kπ οr 2.21 + kπ, where k is any integer.

1b) Using cοsine functiοn,

\(2cos^{2}\theta - 1 = 0\)

\(cos^{2}\theta= 1/2\)

cοsθ = ±√(1/2) = ±1/√2

Sο, θ = π/4 + kπ/2 οr 3π/4 + kπ/2, where k is any integer.

1c) Rearranging the equatiοn, we get

\(sin^{2}\theta - 6sin\theta- 7 = 0\)

Using the quadratic fοrmula,

sinθ = [6 ± √(36 + 28)]/2 = 3 ± √19

Since -1 ≤ sinθ ≤ 1, the οnly sοlutiοn is

sinθ = 3 - √19

\(θ = sin^{(-1)(3 - \sqrt{19})} \approx 0.47 + 2k\pi\) οr π - 0.47 + 2kπ, where k is any integer.

1d) Factοring οut sinθ frοm the equatiοn, we get

sinθ(cοsθ - 7) = 0

Sο, either sinθ = 0 οr cοsθ = 7. Since -1 ≤ sinθ, cοsθ ≤ 1, the οnly sοlutiοn is

cοsθ = 7 has nο real sοlutiοn, sο the οnly sοlutiοn is

sinθ = 0

θ = kπ, where k is any integer.

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The magnitude of the vector sum of the four vectors = 278.158M

What is Magnitude?

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the displayed outcome of an ordering—of the class of objects to which it belongs.

A = 82(cos 64 degree x +sin 64 degree y )

= 35.946 x +73.701y

B = 82 X

C= 82 Xx

D= 82 x (cos 64 degree x +sin 64 degree y)

= 35.946 x +73.701y

net = A+B+C+D

= X (35.946+82+82+35.946) + (2*73.701)

=235.892 X + 147.402Y

Magnitute = 278.158m

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The table helps us determine the corresponding z-values for specific areas under the standard normal curve. By looking up the cumulative probabilities in the table, we can find the z-values that match the given areas.

In order to find the appropriate values of z for different situations involving the standard normal random variable, we can refer to the appendix table. The table provides the cumulative probabilities for various values of z. Here are the solutions rounded to two decimal places for each situation:

(a) The z-value for an area of 0.2420 to the left is -0.71.

(b) The z-values for an area of 0.9030 between -z and z are -1.75 and 1.75.

(c) The z-values for an area of 0.2282 between -z and z are -0.80 and 0.80.

(d) The z-value for an area of 0.9949 to the left is 2.65.

(e) The z-value for an area of 0.6554 to the right is -0.39.

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3 is the minimum number of guesses required to guarantee that you know the number.

If we use a binary search approach, we can guess the number in a minimum number of steps.

First, we guess the middle number, which is 8. If the answer is higher, we can eliminate all the numbers from 1 to 8, because they are lower than the answer.

Then we guess the middle number of the remaining numbers, which is 12. If the answer is lower, we can eliminate all the numbers from 12 to 15, because they are higher than the answer.

We have now eliminated half of the remaining numbers, and we are left with 6 and 7. We can guess either of these numbers, and we will know the answer with a total of three guesses.

Therefore, we can guarantee that we know the number in three guesses using this binary search approach.

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The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

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The factorization of \(\rm 125x^9 + 64\) is  \(\rm (5x^3 + 4)(25x^6 - 20x^3 +16)\).

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; \(\rm 125x^9 + 64\)

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\(\rm= 125x^9 + 64\\\\= 125x^9 -100x^6+80x^3+100x^6-80x^3+64 \\\\ =5x^3(25x^6 - 20x^3 +16) +4(25x^6 - 20x^3 +16) \\\\=(5x^3 + 4)(25x^6 - 20x^3 +16)\)

Hence, the factorization of \(\rm 125x^9 + 64\) is  \(\rm (5x^3 + 4)(25x^6 - 20x^3 +16)\).

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Answer:

c

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

The total number of marbles is

3+5+8 = 16

blue : total

8 : 16

Divide each side by 8

8/8 : 16/8

1:2

Answer:

1:2

Step-by-step explanation:

There are 16 marbles in total. 3+5+8=16

8 of them are blue so it is 8:16 simplify 1:2