Simplify. Please help.

9514 1404 393

Answer:

  D: all real numbers

  R: f(x) > 0

  A: f(x) = 0

  (-∞, 0), (+∞, +∞)

  vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

  g(x) = a·f(b(x -c)) +d

does the following:

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

The function is a growth function, so ...

_____

Additional comment

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

Answer:

I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.

Step-by-step explanation:

X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.

Answer:

24 g butter

12 g sugar

36 g flour

Step-by-step explanation:

The recipe makes 30 shortbread fingers.

She wants to make 6 fingers.

6/30 = 1/5

She wants to make 1/5 of the recipe, so she needs 1/5 of each ingredient's amount.

Divide each amount by 5.

Recipe:

Makes 30           30/5 = 6               Makes 6  

120 g butter       120/5 = 24            24 g butter

60 g sugar         60/5 = 12              12 g sugar  

180 g flour​         180/5 = 36            36 g flour

Answer:

7

Step-by-step explanation:

Answer:

2,600 seats

Step-by-step explanation:

x = total seats

1898 = .73x

x = 1898 / .73

Answer:

F

Step-by-step explanation:

An undefined slope means it's just a STRAIGHT VERTICAL line since there's no slope.

The answer would be F because it's a vertical line.

Answer:

i think it was A

Answer:

24

Step-by-step explanation:

We call:

A - Spanish textbook

B - Biology t.b.

C - Histoey t.b.

D - Writing t.b.

U can have:

ABCD

ABDC

ACDB

ACBD

ADBC

ADCB

BACD

BADC

BCDA

BCAD

BDAC

BDCA

etc..

U have 6 for each letter.

6×4=24

Gabriella can line up her textbooks in 24 different ways on her bookshelf.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

Gabriella has a Spanish book, a biology book,  physics book, and a health text book.

We have;

She has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So, In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

Thus, There are 24 different ways possible.

Learn more about combinations, visit,

brainly.com/question/11732255

#SPJ3

Answer:

1700 grams...

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Because 4x5=20 and 20x4=80 than 80x4=320

Answer:

See below-

Step-by-step explanation:

It depends on if you are transforming O to P or P to O

O to P would be rotate counterclockwise translate down 4

using the point (-3,2) from P and it's corresponding point from O (6,3)

rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)

so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4

if you are transforming O to P is would be the opposite

rotate 90 clockwise and translate up 4

Answer:

x=100

Step-by-step explanation:

x+80=180...(angles on a straight line add up to 180 degrees )

x=180-80

x=100

Answer:

Vertical angles x= 100 sorry if i'm wrong

Step-by-step explanation:

Answer:

2 hours.

Step-by-step explanation:

From the question given above, the following data were obtained:

Speed of motorboat (sₘ) = 8 mph

Speed of cabin cruiser (s꜀) = 16 mph

From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.

Let t be the time for the cabin cruiser.

Thus, the time for the motorboat will be (2 + t)

Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.

With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:

Speed of motorboat (sₘ) = 8 mph

Time for motorboat (tₘ) = t + 2

Speed of cabin cruiser (s꜀) = 16 mph

Time for cabin cruiser (t꜀) = t

Distance of motorboat = distance of cabin cruiser

Recall:

Distance = speed × time

Therefore,

sₘ × tₘ = s꜀ × t꜀

8 × (t + 2) = 16 × t

Clear bracket

8t + 16 = 16t

Collect like terms

16 = 16t – 8t

16 = 8t

Divide both side by 8

t = 16 / 8

t = 2 hours

Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.

Answer:

-4f

Step-by-step explanation:

-8f+2f=-6f then -6f+2f (since its a positive number) = -4f

Answer:

its easy its like adding

-4f

Step-by-step explanation:

add -8f and 2f

which equals -6f+2f

and then add those two

which then gives -4f

hope it helps!

Answer:

H0 : u ≥ 10  against the claim Ha: u < 10

Step-by-step explanation:

The mean breaking strength of a ceramic insulator must be at least 10 psi.

(At least means greater or equal to ). As it is already given in the data the null and alternate hypotheses will be formulated according to it.

H0 : u ≥ 10  against the claim Ha: u < 10

The null hypothesis is the mean breaking strength of a ceramic insulator must be at least 10 psi

and the alternate hypothesis is

the mean breaking strength of a ceramic insulator is less than 10 psi

Answer: equality of a equation

m/F = 2/a

ma = 2F | : m

a = 2F/m

m/f=2/a

a=?

a=2f/m

Step-by-step explanation:

Making a the subject.

Answer:

C) 297 cm²

Step-by-step explanation:

1/2(22)(27)=297

Answer:

D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M.

Step-by-step explanation:

Pay attention to the times, and the amount of time the given location is open.

Only option D makes sense since the clinic open for 11 hours and the difference from the times given is exactly 11 hours; the other options are off, some give longer, and some give fewer amount of time.

Answer:

The clinic opened at 7:30AM and closed at 6:30PM

Step-by-step explanation:

The gragh shows The clinic opean 11 hours.

So It  7:30+11h= 18:30=6:30PM

SO This one is correct

Answer:

A and C

Hope this helps!!!! :)

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = [tex]\frac{0-6}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - 2x + 6 ← equation of line

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio for the given triangle, we get

[tex]\cos A=\dfrac{AB}{AC}[/tex]

[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}\times 10=AB[/tex]

[tex]5=AB[/tex]

Therefore, the length of AB is 5 units.

Answer:

D) a reflection over the y-axis and then a

90° clockwise rotation about the origin

Answer:

D) a reflection over the y-axis and then a

90° clockwise rotation about the origin

Answer:

28.5

Step-by-step explanation:

The sum of the interior angles in a triangle is equal to 180

102 + x + 6 + x + 15 = 180

123 + 2x = 180 subtract 123 from both sides

2x = 57 divide both sides by 2

x = 28.5

Answer:

for question #33 is D because you have to find the one how much one of your angle is :)

and for question#34 is F

Answer:

what kind?

Step-by-step explanation:

and if its not a specific kind of algebra just use an algebra calculator

Answer:

Use PEMDAS

Step-by-step explanation:

First, solve inside the (P)arentheses. Next, calculate all (E)xponents. Then check to see which comes first in the equation: multiplication or division? Complete these in the order that they appear in the equation. Now, repeat the previous step with addition and (S)ubtraction. If all else fails, use MathPapa.

Answer:

352 square feet

Step-by-step explanation:

201-25=176

176/.50=352 square feet