How is the graph of y=(x-1)2-3 transformed to produce the graph of y=3(x+4)2?
1
O The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3
O The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 un
O The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated d
O The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated dow
a

To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,

                    F(x) = 2^x

will become,

                    F(-4) = 2^(-4) = 1/16 or 0.0625

[tex]xy \\\\=\left(\log_{5\sqrt 5} ~125 \right)\left(\log_{2\sqrt 2} ~64 \right)\\\\=\left(\log_{5\sqrt 5} ~5^3 \right)\left(\log_{2\sqrt 2}~2^6 \right)\\\\=\left(3\log_{5\sqrt 5} ~5 \right)\left(6\log_{2\sqrt 2} ~2 \right)\\\\=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5\sqrt 5\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2 \sqrt 2 \right)}\right)\\\\[/tex]

[tex]=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5^{\tfrac 32}\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2^{\tfrac 32} \right)}\right)~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12}~~ \right]\\\\=\left( 18 \cdot \dfrac{\ln5}{\tfrac 32\ln5^} \cdot \dfrac{\ln 2}{\tfrac 32 \ln 2 }\right)\\\\\\=18 \cdot \dfrac 23 \cdot \dfrac 23 \\\\=\dfrac{72}9\\\\=8[/tex]

D

--

x=9.4cos(58°)

because the cosine function uses the ratio of the adjacent side to that of the hypotenuse.

9.4 is the hypotenus the ration is 58 degrees I believe

[tex]\\ \rm\Rrightarrow cosA=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos58=\dfrac{x}{9.4}[/tex]

[tex]\\ \rm\Rrightarrow x=9.4cos58[/tex]

Option D

The GCF is 4

The polynomial factors to [tex]4(3x^2+x+5)[/tex]

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

[tex]12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)[/tex]

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].

We can then input the value and we get that [tex]C=5*\pi[/tex] which then just narrows down to [tex]C=15.708[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

2.8

Step-by-step explanation:

Just substract 7.2 from 10

You get: 2.8

Answer:

2.8

Step-by-step explanation:

because 7.2 plus 2.8 equals

Answer:

28 grapes in total

Step-by-step explanation:

grapes are shared in the ratio 2 : 5 = 2x : 5x ( x is a multiplier )

Eva gets 12 more grapes than Dora , then

5x = 2x + 12 ( subtract 2x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

total grapes = 2x + 5x = 7x = 7 × 4 = 28

Eva gets 5x = 5 × 4 = 20

Dora gets 2x = 2 × 4 = 8

that is Eva gets 12 more than Dora

Answer:

1%

Step-by-step explanation:

0.04c multiplied by 100 is 4.

Answer:

1%

Step-by-step explanation:

Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.

The trend line is a strong fit for the data on yellow-spotted salamanders.

A graph can be described as a pictorial representation of data. A trend line is used to show the direction of the data plotted. The trend line shown is positive. This means that as the number of spots increases, the weight of the salamander increases. The trendline is strong because most of the dots lie along the trendline.

To learn more about graphs, please check: https://brainly.com/question/21527145

#SPJ1

Answer:

New area is 1/9th the original area

Step-by-step explanation:

Original area   =   L x W

now reduce the side lengths

   1/3 L   x    1/3 W

   1/3 * 1/3   * L x W

       1/9   L x W       <===== the new area is 1/9th the original area

Answer:

Option 2

Step-by-step explanation:

Checking whether P(A) × P(B) = P(A∩B) :

Since this does not obey the Multiplication rule of probability, these events are not independent.

So, the answer is :

No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answer:

Option B

Step-by-step explanation:

Option A should be true if they are independent

So

They are dependant

Logistics regression can be used as a classifier by Logistic regression can be used as a classifier. The second option is correct.

This is a predictive type of analysis. What is done here is that this type of analysis helps in the description of data and the probability of events happening.

It is based on a given set of independent variables in the regression equation.

Read more on regression analysis here:

https://brainly.com/question/7781679

#SPJ1

Answer:

the answer is k=-4 hope this helps

The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".

It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.

Therefore, the phrase relates to the values ​​of modern society with regard to the use of words and the message that the author wants to convey to readers.

Find out more about modern language here:

https://brainly.com/question/26110488

#SPJ1

Answer:

b

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

Answer:

8 hours

Step-by-step explanation:

To solve this it seems you need to set up a proportion.

12/2=48/x

cross multiply the 2 and 48.

2•48=96.

divide by the remaining number to get x.

96/12=8.

Answer:

A. 20.5

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!

Answer:

[tex]-3x^2 * x = -3x^3\\y * y = y^2[/tex]

[tex](-3x^2y)(5xy^2 + xy)\\[/tex]

Use F.O.I.L, (First Outer Inner Last) to multiply. Start with -3x^y * 5xy^2

Start with similar terms

[tex]-3x^2 * 5x = -15x^3\\y * y^2 = y^3\\Therefore,\\-15x^3y^2[/tex]

Move onto the xy portion of the problem

[tex]-3x^2y(xy)\\[/tex]

Start with similar terms

[tex]-3x^2 * x = -3x^3\\y * y = y^2\\Therefore,\\-3x^3y^2[/tex]

Combine the two together

[tex]-15x^3y^3 - 3x^3y^2\\[/tex]

The answer is Option A

Answer:

   44. (1) -15x³y³ - 3x³y²

Step-by-step explanation:

Question 44

Answer: The final price is less than the original

Step-by-step explanation:

    Let us break this down a bit.

The original price is $500

-> At the beginning, the price was marked up by 20%

-> At the end, the price at the beginning of the season is marked down by 20%

    We are solving for: "How does the final price compare with the original price of $500​"

        First, we will find the price at the beginning.

-> Please note a percent divided by 100 becomes a decimal

20% / 100 = 0.2

$500 * 0.2 = $100

$500 + $100 = $600

     Now, we will find the price at the end.

$600 * 0.2 = $120

$600 - $120 = $480

     The final price is less than the original price of $500.

Answer:

Step-by-step explanation:

price marked up by 20%= 500+ [tex]\frac{20}{100}[/tex]×500

                                        =$600

price marked down by 20%= 600- [tex]\frac{20}{100}[/tex]×600

                                             =$480

the final price is less than the original price

Answer:

-0.8

Step-by-step explanation:

We can change -1/4 to -0.25. Now, we just multiply and get -0.8

Hope this helped you! I would appreciate a Brainliest if this helped you! Thank you and have a good day!

The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 36

The probability that the sum is 12:

P(A) = 1/36

The probability that the sum is less than 5:

P(B) = 6/36

The probability:

P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36

Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

98

Step-by-step explanation:

b(c(3))

b(3(3)-2)

2(3(3)-2)^2

2(9-2)^2

2(7)^2

2(49)

98

Answer:

h=4

Step-by-step explanation:

Answer

32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

 is the formula for an arithmetic sequence.

= nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

Answer:  BC = 80

Step-by-step explanation:

One of the many Pythagoean Triplets is 18, 80, and 82. This is the only one with 18 as one of the sides other than the hypotnyse.

Answer:

root of 15 or in decimal form 3.87 (rounded)

Step-by-step explanation:

You just multiply both together

Answer:

(x-4)² -11 where a = 4, b = 11

Step-by-step explanation:

The final form (x-a)² - b evaluates to x² - 2ax + a² -b

Matching

x² - 8x    +  5    

x² - 2ax  +  a² -b

This gives us -2ax = -8x or -2a = -8 or a = 4

and a² - b = 11 ==> 16 - b = 11 or b =5

Rewritten form is

(x-4)² -11

Answer:

True

Step-by-step explanation:

A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.