How is the graph of the parent function y = x squared transformed to produce the graph of y = 3 (x + 1) squared?
It is translated 1 unit right and compressed vertically by a factor of 3.
It is translated 1 unit left and compressed vertically by a factor of 3.
It is translated 1 unit right and stretched vertically by a factor of 3.
It is translated 1 unit left and stretched vertically by a factor of 3.

Answer:

2 or 3

Step-by-step explanation:

write it down dummy

Answer:

Answer:

A

Step-by-step explanation:

f(x) = x²

f(x) becomes f(13x) + 6

the "+ 6" at the end tells us already everything, because there is only one aber option listed that contains a shift up. and that is exactly what that "+ 6" did. it adds 6 to every possible y value of the function. so, the whole function moves up by 6 units.

and yes, the 13x of f(13x) stretches the function horizontally (along the x axis).

simply said, whenever the x value for the original function increased by 1, it increases for the new function by 13.

Answer:

Step-by-step explanation:

3x + 2(x − 1) − 4 =

3x + 2x - 2 - 4 =

5x - 6

Answer:

Step-by-step explanation:

[tex]\bf 3x + 2(x - 1) - 4?[/tex]

Distribute.

Subtract the numbers.

Combine like terms.

Answer:

-x + 4

Step-by-step explanation:

(4x+5)+(−5x−1)

4x+5−5x−1  [Remove the parentheses]

-x + 4           [Combine Like Terms]

Answer:

-x+4

Step-by-step explanation:

Given:

(4x+5)+(−5x−1)

Solution:

To re-write this in it's simplest terms:

Combine like terms:

Hence the simplest form is -x+4.

Done.

Answer:

-4/3

Step-by-step explanation:

mtan × mline = -1

mtan× 3/4 = -1

mtan =-4/3

Answer:

it's actually 28+/-√721/7

Step-by-step explanation:

The 15 are women, keeping track of the number of men chosen is Not binomial the trials are not independent.

We have given that,

The given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen.

In samples with replacement, the probability has to be the same for each trial, that is, they are independent.

Hypergeometric distribution

Samples without replacement, as the probabilities depend on the previous outcomes, that is, they are not independent.

In this question

Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:

Not binomial the trials are not independent.

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Answer:

B

Step-by-step explanation:

look at the graph, it is really easy with such basic numbers involved :

the red dotted line is

y = 2

since the line is dotted (= the points on the line are not included in the solution), the colored area is below the line is

y < 2

the blue line is clearly just a 45° basic line through the origin (0,0), and that means for every point in that line x is equal to y.

y = x

and the line is solid, so the points are included in the solution. the shaded area is above the line, so, we need to use the ">" relation :

y >= x

the required solution is the combination of both, and therefore, B is correct.

Answer:

B. g(x) is shifted 5 units right and 2 units up from f(x).

g(x) = [tex]\frac{1}{x-5}[/tex] + 2 is compared to the parent function, f(x) = [tex]\frac{1}{x}[/tex] by g(x) is shifted 5 units right and 2 units up from f(x).

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given parent function is,

f(x) = [tex]\frac{1}{x}[/tex]

And the translated function is,

g(x) = [tex]\frac{1}{x-5}[/tex] + 2

When f(x) becomes g(x), the first change occurred is [tex]\frac{1}{x}[/tex] changes to [tex]\frac{1}{x-5}[/tex].

That is f(x) changes to f(x-5).

This translation occurs when the function undergoes horizontal translation towards right.

Then [tex]\frac{1}{x-5}[/tex] is translated to [tex]\frac{1}{x-5}[/tex] + 2.

That is, f(x-5) is changed to f(x-5) + 2.

This occurs for the vertical translation towards up.

Hence the translation occurred is g(x) is shifted 5 units right and 2 units up from f(x).

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Answer: D

Step-by-step explanation:

We know that the line [tex]y=10[/tex] is shaded below, so it represents [tex]y \leq 10[/tex].

Similarly, the line [tex]y=x+1[/tex] is shaded above, so it represents [tex]y > x+1[/tex].

Answer:

Solution*-1

Step-by-step explanation:

because 1 is the value of (1)

The value of the expression will be 2. Then the correct option is B.

The complete question is given below.

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The expression is given below.

[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\cos x \ \tan 2x}{x}[/tex]

Then the value of the expression will be

Applying L'hospital rule, then we have

[tex]\rightarrow \displaystyle \lim_{x \to 0}\dfrac{\dfrac{d}{dx} \cos x \ \tan 2x}{\dfrac{d}{dx}x}\\\\\\\\\rightarrow \displaystyle \lim_{x \to 0}\dfrac{2 \cos x \sec^2 2x - \sin x \ \tan 2x}{1}\\[/tex]

Put the limit, then we have

⇒ 2 × cos 0 × sec² (2 × 0) – sin 0 × tan (2 × 0)

⇒ 2 × 1 × 1 – 0

⇒ 2

Then the correct option is B.

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Answer:

Step-by-step explanation:

The centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The question is incomplete.

The complete question is:

A circle is defined by the equation given below.

x² + y² − x − 2y − 11/4 = 0

What are the coordinates for the centre of the circle and the length of the radius?

We know the standard form of a circle:

(x - h)² + (y - k)² = r²

Here (h, k) is the centre of the circle and r is the radius of the circle

[tex]\rm x^2 - x + \dfrac{1}{4} + y^2 - 2y + 1= \dfrac{11}{4} +\dfrac{1}{4} + 1\\\\[/tex]

[tex]\rm (x - \dfrac{1}{2})^2+(y-1)^2 = 2^2[/tex]

Thus, the centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

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Answer:

Step-by-step explanation:

Answer:

$6847.955

Explanation:

Use the compound interest formula, but the value decreases over time.

[tex]\sf A = P(1 - \dfrac{r}{100} )^t[/tex]

where 'A' is final amount, r is rate, t is time

Inserting P = $15,000, r = 23, t = 3 years

[tex]\sf A = 15000(1- \dfrac{23}{100} )^3[/tex]

[tex]\sf A = 6847.995[/tex]

Hence the value of truck after three years will be $6847.955.

Answer:

Question 4: letter c

Question 3: letter c

Step-by-step explanation:

Answer:

X     Y

5      7

20   28

60   84

This table shows the proportional relationship.

Step-by-step explanation:

The equivalent ratios of two variables known as proportional relationship.

Table 1:  X     Y                                        Table 3: X     Y

              4     6                                                       12    5

              8     12                                                      18    7

              18    26                                                     26   9

Ratio = 4:6 = 8:12 ≠ 18:26                       Ratio = 12:5 ≠ 18:7 ≠ 26:9

Table 2: X     Y                                       Table 4: X     Y

              5     7                                                       3      2

              20   28                                                    9      8

              60   84                                                    15     14

Ratio = 5:7 =20:28=60:84                       Ratio = 3:2 ≠ 9:8 ≠ 15:14

Here we see table 2 shows the proportional relationship.

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Using proportions, it is found that the measure of the inscribed angle B is of 30º.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

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Answer:

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

Step-by-step explanation:

Answer:

1/3×22/7×r^2h

Step-by-step explanation:

the volume =1/3 ×22/7×r^2×13.5

Answer:

How do you interpret the y-intercept in the context of the problem?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

Step-by-step explanation:

Answer:

0riginal price = 4900

Step-by-step explanation:

294 = 6%

294/6 = 49 49 = 1%

49 x 100 = 4900

0riginal price = 4900

Answer:

answer= 3

hope this helps if not I'll try to do it again

Answer:

[tex]x = 45 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } [/tex]

[tex] {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } [/tex]

[tex]5 {x}^{2} = {15}^{4} [/tex]

[tex] {x}^{2} = \frac{ {15}^{4} }{5} [/tex]

[tex]x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )[/tex]

[tex]x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} [/tex]

Answer:

[tex]\frac{45}{7}[/tex]

Step-by-step explanation:

9 is the same as [tex]\frac{9}{1}[/tex]

∴ 9 ˣ [tex]\frac{5}{7}[/tex]

=  [tex]\frac{9}{1}[/tex] ˣ  [tex]\frac{5}{7}[/tex]

To multiply two fractions, just multiply their numerators together and their denominators together.

9 x 5 = 45

1 x 7 = 7

∴ [tex]\frac{9}{1}[/tex] ˣ  [tex]\frac{5}{7}[/tex]

  = [tex]\frac{45}{7}[/tex]