please help me I need​

Please Help Me I Need

Answers

Answer 1

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]2^{x+3}[/tex] × [tex]3^{x+4}[/tex] = 18 = 2 × 9 = [tex]2^{1}[/tex] × 3²

Then

[tex]2^{x+3}[/tex] = [tex]2^{1}[/tex]

Since bases on both sides are equal, both 2, then equate exponents

x + 3 = 1 ( subtract 3 from both sides )

x = - 2

Then

[tex]2^{-2+3}[/tex] = [tex]2^{1}[/tex]

and

[tex]3^{-2+4}[/tex] = 3²

18 = 2 × 3²

Answer 2

Answer:

x=-2

Step-by-step explanation:

[tex]2 {}^{x + 3} \times 3 {}^{x + 4 = 18} [/tex]

Apply the Inverse of the Product of Power Rule

If

[tex]x {}^{y} \times x {}^{z} = x {}^{y + z} [/tex]

This means that

[tex] {x}^{y + z} = {x}^{y} \times {x}^{z} [/tex]

So in order words,

[tex](2 {}^{x} \times 2 {}^{3} ) \times (3 {}^{x} \times 3 {}^{4} ) = 18[/tex]

[tex](2 {}^{x} \times 8) \times (3 {}^{x} \times 81) = 18[/tex]

Divide both sides by 31 and 8.

We get that

[tex]2 {}^{x} \times {3}^{x} = \frac{1}{36} [/tex]

[tex]6 {}^{x} = \frac{1}{36} [/tex]

Take the log of both sides.

[tex] log_{6}( \frac{1}{36} ) = x[/tex]

[tex]6 {}^{ - 2} = \frac{1}{36} [/tex]

so

[tex]x = - 2[/tex]


Related Questions

geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!

HELP ASAP!!!
THANK YOU SO MUCH:)))

Answers

Answer:

56 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (14) (8)

A = 56 cm^2

- 6 x 8 - (4)² - (-72)

Answers

Answer:

[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]

In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?

a.14 miles
b.10 miles
c.12 miles
d.23 miles

Answers

Answer: C; 12 miles

Solution:

1) Add the initial Uber cost ($15) and airport toll charge:

$22.95

2) Subtract 22.95 from 45.84

$22.89 to spend on miles

3) Divide 1.84 (cost per mile) from 22.89

≈ 12.44 miles

Round down to 12 miles or option C

Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4

Answers

Answer:

C

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 -3x+4[/tex]

And we want to evaluate it for x = 3a.

Substitute:

[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]

Square:

[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]

Simplify:

[tex]f(3a) = 18a^2-9a+4[/tex]

Hence, our answer is C.

PLS HELP ASAP!!!!!!!!!!!!!!!!

Answers

The answer is 12/100 or 12% probability.

The total group is 100 people, with only 12 being moderate that are high school only.

BRAINLEST IF CORRECT!!!!

Answers

x + 133 = 180

x = 180 - 133 (Linear Pair)

x = 47

Therefore x° = 47°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

47

Step-by-step explanation:

reason: Being sum of supplement angle

SOMEONE HELP ME PLEASE

Answers

The probability is 5/6 or 83.333%

The co-ordinates of points (0,-5)&(3,-1) respectively .Find
Vector AB
Magnitude AB ​

Answers

Step-by-step explanation:

Hope you understand through the steps on the attachment, if not kindly reach out

SOMEONE HELP ME PLS

Answers

Answer:

as both triangles are congruent......

AB = PQ

BC = QR

CA = RP

So AB = PA so... 2x + 1 = x + 7

so x = 7 - 1 = 6

now BC = QR so.... 4y + 3 = 2y + 11

so 2y= 8 and y= 4

brainliest plssssss

Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

simplify: 3(x-2)+2(2x+5)=35​

Answers

Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

[tex]x=\frac{31}{7}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]3(x-2)+2(2x+5)=35[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it.

[tex]3(x-2)+2(2x+5)=35[/tex]

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

Simplify,

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

[tex]3x-6+4x+10=35[/tex]

[tex]7x+4=35[/tex]

Inverse operations,

[tex]7x+4=35[/tex]

[tex]7x=31[/tex]

[tex]x=\frac{31}{7}[/tex]

Anyone Know The Answer???

Answers

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used

Answers

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?

Answers

Answer:

Step-by-step explanation:

The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.

C = 34 + 1.5*h     where h is the number of hours Leah was in the park.

if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth​ angle?

Answers

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10

Answers

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3

Answers

Answer:

Inverse of f(x) is ³2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

what is
f(x)= (x-12)(x+1)
in standard form?

Answers

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

Write your answer as a polynomial or a rational fraction in simplest form ​

Answers

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

For the function f(x)=3X+5/x+5 find f^1(x)

Answers

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?​

Answers

Answer:

21cm2

Step-by-step explanation:

Area (A = BH)

B = 7cm

H = 3cm

Therefore we multiply Base(B) with height (H) to get the area.

Hence;

Area = (7 × 3) cm2

= 21cm2

91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?

Answers

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

2. Distribute the -1
(6h + 4) - (2h - 3)

Answers

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

Simplify

Help me please

Answers

Answer:

[tex]\frac{-27b^{6}}{c^{18}}[/tex]

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]

-7 - -3 HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer is -10


:)

Hehe

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answers

D [tex]\bold{16x^{6}y^{10}z²}[/tex]

Answer:

John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.

[tex](4x^{3}y^{5}z)²[/tex]

remenber that square is for all

and power is multiplied

[tex]4²x^{3*2}y^{5*2}*z²[/tex]

[tex]16x^{6}y^{10}z²[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]

Courtney needs to wrap this gift box, which is 412 inches wide, 6 inches long, and 3 inches tall. What is the surface area of the box?

Answers

There is the answer. To get surface area you have to get all the surfaces first

The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood

Answers

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

Please help me with my Geometry.

Answers

Answer:

it should be 6

Step-by-step explanation:

I could be wrong

Determine whether the two triangles are similar.

Answers

Answer:

The Second One

Step-by-step explanation:

It Shows Side Lengths, and the angles for LOM and PON connect at O.

That means they share a similar angle, and between the angle are Sides.

SAS. (Side-Angle-Side)

(I'm not really good at math so i'm sorry if its wrong!)

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were considered the upper class of colonial society. At December 31, Hawke Company reports the following results for its calendar year. Cash sales $1,432,910 Credit sales $3,376,000 In addition, its unadjusted trial balance includes the following items. Accounts receivable $1,022,928 debit Allowance for doubtful accounts $11,560 debitRequired: Prepare the adjusting entry for this company to recognize bad debts Find the length of each segment.W XY--5055. WX6. WY In figure above, if l1 | | l2 then value of x is:a) 40b) 50c) 80d) 100 Define simple harmonic motion. Write down the expressions for the velocity and aceraletion of such motion st different position along its path FIRST ANSWER GETS BRAINLIEST!!(sorry for the colors on the picture) MA boy of mass 60 kg and a girl of mass 40 kg aretogether and at rest on a frozen pond and pusheach other apart. The girl moves in a negativedirection with a speed of 3 m/s. What must be thetotal final momentum of the boy AND girlcombined?A. -120 kgm/sB. 0 kgm/sC. -100 kgm/sD. 120 kgm/s HELP say im getting it wrong the perimeter of the polygons is ? write your answer in simplest radical form What are the two specific benefits for social health? and explain them in ur own words. How is a monopolistically competitive market similar to a perfectly competitive market? A. Producers with market power set their own prices. B. Both have differentiated products with close substitutes. C. There are no restrictions on the entry of new firms. D. Both have homogeneous products with no close substitutes. Which of the following common features do monopolistically competitive markets and monopolies share? A. Barriers restrict new firms from entering. B. Consumers with market power set prices. C. Firms face downward-sloping demand curves. D. Producers with no market power set their own prices. Find the midpoint of the segment with the given endpoints.(7,10) and (-1,- 8) Observe the below figure and answer. When the economy was expanding,new housing developments being to,_______:when times are lean, construction slacks off. India vs England test series in NottinghamI will cheer for India because I am an Indian Helpppp please!!!!!! (x-3).(x+3)-(x+5).(x-1) which substance is an acid ? The image below shows a club fungus. A club fungus has an erect, above-ground fruiting body and long, branching, underground hyphae.How do the structures of the fruiting body and hyphae relate to their functions?A. The fruiting body is tall to allow for spore dispersal, while the hyphae are branched to increase the absorption of nutrients.B. The fruiting body is curved to help the uptake of decaying plant material, while the hyphae are long to increase gas exchange.C. The fruiting body is tall to maximize photosynthesis, while the hyphae are branched to support the release of waste products.D. The fruiting body is curved to improve absorption of water, while the hyphae are long to allow for reproduction. Two angels of a triangle are the same size.The third angel is 3 times as large as the first. How large are the angels