Which answer describes the transformation of g(x) = log2 (x+3) + 1 from the
parent function f(x) = log2 x ?
A. It is the graph of f(x) shifted 3 units left and 1 unit up.
B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
D. It is the graph of f(2) shifted 3 units right and 1 unit up.

Answer:

[tex]\mathrm{A. \:756\:in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.

Therefore the volume of this prism is:

[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)

Answer:

[tex]Mean = 109.364[/tex]

Step-by-step explanation:

Given

[tex]Data: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110[/tex]

Required

Calculate the mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 11[/tex]

So, we have:

[tex]Mean = \frac{147+ 160+ 80+ 110+ 121+ 164+ 62+ 90+ 76+ 83+ 110}{11}[/tex]

[tex]Mean = \frac{1203}{11}[/tex]

[tex]Mean = 109.364[/tex] -- approximated

Answer:

Hi... Your answer is A...

i think the answerd is a

Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2a-5>3  Equation/Question

Step 2

-2a-5>3  Simplify

-2a-5>3

Step 3

-2a-5>3  Divide

answer

a<-4

Hope this helps

Answer:

2/3 x 1/2 = 1/6

Step-by-step explanation:

-1.7×-6 is the answer. Hope this helps.

Answer:

-1.7x + -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

−4.2x+3

2.5x−6

Hope This Helped  <3

Answer:

[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]

[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]

x(0)=20,y(0)=5

Step-by-step explanation:

We are given that

Tank A contains water=80 gallons

x(0)=20,y(0)=5

Tank B contains water=30 gallons

Rate=4 gallon/min

Concentration of salt  is pumped into tank=0.5 pound /gallon of water

Solution pumped from tank A to tank B at the rate=6 gallons/min

Solution pumped from tank B to tank A at the rate=2gallon/min

Solution from tank B is pumped out of the system at the rate=4 gallon/min

We have to find the DE at time t

For x

Rate in=[tex]0.5\times 4+y(t)/30\times 2[/tex]

Rate in=[tex]2+y/15[/tex]

Rate out=[tex]x/80\times 6[/tex]

Rate out=3x/40[/tex]

[tex]\frac{dx}{dt}=[/tex]Rate in-Rate out

[tex]\frac{dx}{dt}=2+y/15-3x/40[/tex]

[tex]\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}[/tex]

For y

Rate in=[tex]x/80\times 6[/tex]

Rate in=3/40x

Rate out=[tex]y/30\times (4+2)[/tex]

Rate out=y/5

[tex]\frac{dy}{dt}=[/tex]Rate in-Rate out

[tex]\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}[/tex]

Answer:

D is the answer

Step-by-step explanation:

twice as many children is 24 because 12x2 is 24

Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Answer:

they are both the same amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are both the same 6:12  can be reduced to 1:2 by dividing 6 and 12 by 6.

Answer:

The table only represent s y as function of x

Answer:

5

Step-by-step explanation:

i anserwed it on the test

Answer:

A-8.25  B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

Answer:

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Step-by-step explanation:

Given that:

Amount Bradley owes = $275

Amount Bradley pays each week = $55

Let,

x be the number of weeks.

We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;

f(x) = 275 - 55x

Hence,

The function f(x) = 275-55x represents the amount of money Bradley still owes.

Answer

Multiply 8 and 4

Step-by-step explanation:

start from left to right so you wanna start by dividing and multiplying first in evaluating

Answer: 1 5/9 (one and five-ninths)

Answer:

x = 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

its complicated to explain sorry, but trust me

Answer:

[tex](rs)(4) = 8[/tex]

Step-by-step explanation:

Given

[tex]r(x) = 2\sqrt{x[/tex]

[tex]s(x) = \sqrt x[/tex]

Required

Determine [tex](rs)(4)[/tex]

In functions:

[tex](fg)(x) = f(x) * g(x)[/tex]

This implies that:

[tex](rs)(x) = r(x) * s(x)[/tex]

Substitute values for r(x) and s(x)

[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]

[tex](rs)(x) = 2(\sqrt{x})^2[/tex]

[tex](rs)(x) = 2x[/tex]

Substitute 4 for x

[tex](rs)(4) = 2 * 4[/tex]

[tex](rs)(4) = 8[/tex]

Answer:

The three numbers are 23, 29 and 35.

Step-by-step explanation:

Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.

To find: The three numbers that are in both sequences and also between 20 and 40.

Consider both the sequences.

Put n = 11 in the nth term 2n+1, we get 23.

So, the 11th term of first sequence is 23.

Now put n = 8 in the nth term 3n-1, we get 23.

So, the 8th term of the second sequence is 23.

Therefore, first number that is in both sequence and lies between 20 and 40 is 23.

Now put n = 14 in the nth term 2n+1, we get 29.

So, the 14th term of first sequence is 29.

Put n = 10 in the nth term 3n-1, we get 29.

So, the 10th term of the second sequence is 29.

Therefore, second number that is in both sequence and lies between 20 and 40 is 29.

If we put n = 17 in the nth term 2n+1, then we get 35.

That is, 17th term of first sequence is 35.

Now we put n = 12 in the nth term 3n-1, then we get 35.

That is, 12th term of second sequence is 35.

So, third number that is in both sequence and lies between 20 and 40 is 35.

Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.

answer:

- this is multi-step problem

16 X 1.375 = 22 songs (37.5% was added)

22 X .5 = 11 songs (50% was removed)

final answer: 11 songs.

Answer:

[tex]\displaystyle 77[/tex]

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0