I need help on this I can’t remember how to do it

I Need Help On This I Cant Remember How To Do It

Answers

Answer 1

Answer:

[tex]g(x)=7^{\frac{x}{3}}+1[/tex]

Explanation:

The function f(x) is given as:

[tex]f(x)=7^x+1[/tex]

If a function, f(x) is horizontally compressed by a factor of k units, the transformation rule is:

[tex]f(x)\to f(kx)[/tex]

Therefore, if f(x) is transformed to g(x) through a horizontal compression by a factor of 1/3, the function g(x) is:

[tex]g(x)=7^{\frac{x}{3}}+1[/tex]


Related Questions

What is the Y intercept of 8X plus 4Y equals -48

Answers

the given equation is,

[tex]8x+4y=-48[/tex]

Now, we will solve it further,

[tex]\begin{gathered} 8x+4y=-48 \\ 4y=-8x-48 \end{gathered}[/tex][tex]\begin{gathered} y=\frac{-8x-48}{4} \\ y=-2x-12 \end{gathered}[/tex]

Now, we will put x=0 to get the intercept of the line on the Y axis,

[tex]\begin{gathered} y=-2x-12 \\ y=-2\times0-12 \\ y=-12 \end{gathered}[/tex]

So, the Y-intercept of the given line equation is -12.

Convert 15 gal to quarts

Answers

The conversion rate for a gallon to quart is given as

[tex]1\text{ ga }\to4\text{ quart}[/tex]

This means that to get the number of quarts in a given measure in gallons, we multiply the number by 4.

The question asks us to convert 15 gallons to quarts.

This can be calculated as

[tex]\begin{gathered} 15\times4 \\ =60\text{ quarts} \end{gathered}[/tex]

Therefore,

[tex]15\text{ gal }\to60\text{ quarts}[/tex]

A lumber yard has fixed costs of $7259.40 per day and variable costs of $0.07 per board-foot produced. Lumbar sells for $1.87 per board-foot. How many board-feet must be produced and sold daily to break even?

Answers

The number of board-feet that  must be produced and sold daily to break even is:4033.

How to find the number of board-feet  to breakeven?

Let the number of board-feet produced per day = x

Let the lumber yard's costs each day be: C =$7259.40+ 0.07x

Let the lumber yard's profits be: P = 1.87x

Let  P - C = 0

Hence,

1.87x - ($7259.40 + $0.07x) = 0

1.87x - $7259.40 - 0.07x = 0

Combine like terms

1.8x - $7259.40 = 0

1.8x = $7259.40

Divide both side by 1.8x

x = $7259.40/ 1.8

x = 4033

Therefore the breakeven is 4033.

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Which of the following is equal to ? 1/5^-2

Answers

25

1) Let's evaluate this expression making use of one exponent property:

[tex](\frac{1}{5})^{-2}=(\frac{5}{1})^2=(5)^2=25[/tex]

2) Note that negative exponents reciprocate the base.

3) Hence, the answer is 25

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

Answer: A 143 degrees because angle 5 is a congruent to angle one

Step-by-step explanation:

Question 4 please . Using a graphing utility (geogebra) to graph the function

Answers

Problem N 4

we have the function

[tex]f\mleft(x\mright)=x^4-3x^2+2x-1[/tex]

Interval (-2,2)

using a graphing tool

Local minimum value at (1,-1)

Local maximum value at (0.37,-0.65)

Increasing function

Intervals (-1.37,0.37) U (1, infinite)

Decreasing function

Intervals (-infinite, -1.37) U (0.37,1)

When graphing unit rates, the unit rate begins at (0, 0), and then at (1, y). What will the 2nd and third points be? (2, _) and (3, _)

Answers

When graphing unit rates, the unit rate begins at (0, 0), and then at (1, y).

So, it will represents a line passes through the given points

The slope of the line will be y

So,

The second point will be ( 2, 2y)

And the third point will be ( 3, 3y)

Use a venn diagram to represent this problemJar A contains numbers that are less than 26 and evenly divisible by 2, Jar B contains numbers that are less than 20 and evenly divisible by 4.

Answers

Given:

Jar A contains numbers that are less than 26 and evenly divisible by 2.

The number less than 6 and divisible by 2 are,

[tex]A=\mleft\lbrace2,4,6,8,10,12,14,16,18,20,22,24\mright\rbrace[/tex]

Jar B contains numbers that are less than 20 and evenly divisible by 4.

The set is,

[tex]B=\mleft\lbrace4,8,12,16\mright\rbrace[/tex]

The Venn diagram is,

6 At a 33-foot depth underwater, the pressure is 29.55 pounds per square inch (psi). At a depth of 66 feet, the pressure reaches 44.4 psi. At what rate is the pressure increasing? ur answer on ouatlon for the

Answers

To solve the exercise you can apply the following formula:

[tex]rate=\frac{\text{difference in pressure}}{\text{difference in depth}}[/tex]

In this case, based on the information given in the exercise, you can identify that:

[tex]\begin{gathered} \text{difference in pressure= (44.4.}-29.55)psi=14.85\text{ psi} \\ \text{difference in dept}=(66-33)ft=33\text{ ft} \end{gathered}[/tex]

Substituting values, you get:

[tex]rate=\frac{14.85\text{ ps i}}{33\text{ ft}}=0.45\text{ }\frac{ps\text{ i}}{ft}[/tex]

Therefore, The pressure is increasing at 0.45 psi per foot.

A shipment of computers arrived at. a warehouse.If each computers is valued at$995. What is the total value of the shipping?

Answers

Total number of computers = 20

Cost per a computer = $995

Total cost of 20 computers = 20 x $995

= $19,900

Type the correct answer in the box. Use numbers instead of words.
The number 392,000 is divided by 10.
What is the value of the digit 2 in the quotient?

Answers

The value of 2 in the quotient is 200.

What is division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups.

Let, the number 392,000 is divided by 10.

That means, [tex]\frac{392000}{10}[/tex]

Here, 392000 is the numerator and 10 is the base.

Simplifying the fraction, we get 39200.

39200 is the quotient.

Here 2 is on the hundredth place.

Therefore, the value of 2 in the quotient is 200.

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Which of the following is the graph of f(x)= x² +3x-4?

Answers

Given the function

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

To determine which graph corresponds to this function you have to determine the coordinates of the vertex and the roots of the function.

Vertex

To determine the coordinates of the vertex you have to calculate the x-coordinate using the formula:

[tex]x=-\frac{b}{2a}[/tex]

a is the coefficient of the quadratic term

b is the coefficient of the x-term

The term of the quadratic term, in this case, is a=1 and the term of the x-term is b=3

[tex]\begin{gathered} x=-\frac{3}{2\cdot1} \\ x=-\frac{3}{2}=-1.5 \end{gathered}[/tex]

Replace the x-coordinate in the function to calculate the corresponding value of f(x):

[tex]\begin{gathered} f(x)=x^2+6x-4 \\ f(-3)=(-\frac{3}{2})^2+3\cdot(-\frac{3}{2})-4 \\ f(-3)=\frac{9}{4}-\frac{9}{2}-4 \\ f(-3)=-\frac{25}{4}=-6.25 \end{gathered}[/tex]

The coordinates of the vertex are (-1.5,-6.25)

Roots of the function

To determine the roots of the function you have to use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant of the function

For a=1, b=3, and c=-4

[tex]\begin{gathered} x=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-4)}}{2\cdot1} \\ x=\frac{-3\pm\sqrt[]{9+16}}{2} \\ x=\frac{-3\pm\sqrt[]{25}}{2} \\ x=\frac{-3\pm5}{2} \end{gathered}[/tex]

Solve the addition and the subtraction separately

Addition

[tex]\begin{gathered} x=\frac{-3+5}{2} \\ x=\frac{2}{2} \\ x=1 \end{gathered}[/tex]

Subtraction

[tex]\begin{gathered} x=\frac{-3-5}{2} \\ x=\frac{-8}{2} \\ x=-4 \end{gathered}[/tex]

The roots of the function are (1,0) and (-4,0)

The graph that corresponds to this function is

find the first five terms of the recursive sequence. aₙ = -6aₙ₋₁ where a₁ = 45

Answers

The first terms is

[tex]undefined[/tex]

Substitute 2, 3, 4, and 5 for n in the equation to find first four next terms.

How to solve 2(x+7)=-4x+14

Answers

[tex]2(x+7)=-4x+14[/tex]

Let's solve the following equation

[tex]\begin{gathered} 2x+14=-4x+14 \\ 2x+4x=-14+14 \\ 6x=0 \\ x=0 \end{gathered}[/tex]

The answer would be x = 0

Stacy made a square tablecloth with a side length of 3.5 feet. She put lace along each side of the tablecloth.How much lace did Stacy need for the tablecloth?

Answers

The side of the square is 3.5 feet

The perimeter is

[tex]4\times3.5=14ft[/tex]

Stacy need 14 feet lace

Express the following as an algebraic function of x.sin(sin-'(x) – cos-'(x))

Answers

Hello there. To solve this question, we'll have to remember some properties about inverse trigonometric functions.

Given the expression:

[tex]\sin (\sin ^{-1}(x)-\cos ^{-1}(x))[/tex]

We want to express it as an algebraic function of x.

For this, imagine the following triangle:

Now, we find the missing leg of the triangle applying Pythagoras theorem:

[tex]\begin{gathered} 1^2=x^2+?^2 \\ 1-x^2=?^2 \\ ?^{}=\sqrt[]{1-x^2} \end{gathered}[/tex]

Now, finding the sine and cosine of the angles alpha and beta, we get:

First, remember the sine of an angle is equal to the ratio between the opposite side to the angle and the hypotenuse of the triangle. The cosine of the same angle is equal to the ratio between the adjacent side to the angle and the hypotenuse of the triangle.

Therefore, we have:

[tex]\begin{gathered} \sin (\alpha)=\frac{x}{1}=x \\ \cos (\beta)=\frac{x}{1}=x \\ \sin (\beta)=\frac{\sqrt[]{1-x^2}}{1}=\sqrt[]{1-x^2} \\ \cos (\alpha)=\frac{\sqrt[]{1-x^2}}{1}=\sqrt[]{1-x^2} \end{gathered}[/tex]

This means that:

[tex]\begin{gathered} \alpha=\sin ^{-1}(x) \\ \beta=\cos ^{-1}(x) \end{gathered}[/tex]

Now, the expression we had earlier turns into:

[tex]\sin (\alpha-\beta)[/tex]

For this, we'll use the angle sum formula:

[tex]\sin (u-v)=\sin (u)\cos (v)-\sin (v)\cos (u)[/tex]

Which gives us:

[tex]\sin (\alpha)\cos (\beta)-\sin (\beta)\cos (\alpha)_{}[/tex]

Plugging the results we got earlier, this is simply:

[tex]x\cdot x-\sqrt[]{1-x^2}\cdot\sqrt[]{1-x^2}[/tex]

As x > 0, because we're using it as a triangle side (but it could be negative considering inverse sine and cosine as functions), we get:

[tex]\begin{gathered} x^2-(1-x^2) \\ x^2-1+x^2 \\ 2x^2-1 \end{gathered}[/tex]

If we chose a theater and movie to attend at random, what probability would we have of seeing anything other than a romantic or sci-fi movie ?

Answers

we have that

The probability of seeing a romantic or sci-fi movie is

P=0.203+0.12=0.323

therefore

the probability of seeing anything other than a romantic or sci-fi movie is

P=1-0.323

P=0.677

the answer is option B

In AFGHFH.GF +40, HF 3x - 20, and GH find the value of 21 20

Answers

You have the next triangle:

As the triangle has two angles that are congruent, then it is a isisceles triangle. The opposite sides of the equal angles have the same measure.

Sides FG and GH have the same measure:

[tex]FG\cong GH[/tex][tex]x+40=2x+20[/tex]

Use this equation to find the value of x:

- Substract in both sides of the equation 2x:

[tex]\begin{gathered} x-2x+40=2x-2x+20 \\ -x+40=20 \end{gathered}[/tex]

- Substract in both sides of the equation 40:

[tex]\begin{gathered} -x+40-40=20-40 \\ -x=-20 \end{gathered}[/tex]

- Multiply both sides of the equation by -1:

[tex]\begin{gathered} (-1)(-x)=(-1)(-20) \\ \\ x=20 \end{gathered}[/tex]Answer x=20

PO Triangle ABC is similar to triangular DEF. What is the value of x?

Answers

If triangle ABC is similar to DEF then the ratio between the sides will be a constant so we can get the expression:

[tex]\frac{15}{30}=\frac{x}{36}[/tex]

and we solve for x so:

[tex]\begin{gathered} x=\frac{36\cdot15}{30} \\ x=18 \end{gathered}[/tex]

What are the coordinates of point w? 5 Z 3 2 Y 3 0 2 2. 4 -1 -2 W -3 -5 Х

Answers

the point W is positioned 3 units to the right (the x-coordinate is 3) and 2 units down (the y-coordinate is -2), thus the coordinates of W are (3,-2)

You bought a magazine for $7 and some notepads for $5 each. You spend a total of $27 how many notepads did you buy.

Answers

From the information available, some magazines (m) and some notepads (n) were bought.

If you bought a magazine for $7, then mathematically that would be;

[tex]\begin{gathered} 1\times m=7 \\ m=7 \end{gathered}[/tex]

Also, if you bought some notepads for $5 each, that would be expressed as;

[tex]5\times n=5n[/tex]

This represents 5 dollars times every given number of notepads, hence we would have;

[tex]\begin{gathered} m+5n=27 \\ \end{gathered}[/tex]

Note that one magazine was bought which is why we have m = 7. We shall now substitute for thw value of m;

[tex]\begin{gathered} m+5n=27 \\ 7+5n=27 \\ \text{Subtract 7 from both sides;} \\ 7-7+5n=27-7 \\ 5n=20 \\ \text{Divide both sides by 5;} \\ \frac{5n}{5}=\frac{20}{5} \\ n=4 \end{gathered}[/tex]

The value of n = 4

ANSWER:

This means you bought 4 notepads

Determine the area of the base of a cone with a volume of 36 cubic inches and a height of 9 inches?

Answers

the are of a base cone, while we have the volume and the height

V= pi*r^2*(h/3)

36=pi*r^2*3

we can find out now the r, radius

r=sqrt(3*36/pi*9)=1.95

Area, A= pi*r^2=

we can look at the Volume formula

36=pi*r^2*3

and if we divide both sides by 3 we get

12=pi*r^2, which is area

A= 12

Identify the units you would expect for the given quantity.The price of a bottle of French perfume, found by multiplyingthe unit price of the perfume in euros per milliliter by thevolume of the bottle in milliliters.

Answers

Given:

The price of a bottle of French perfume, found by multiplying

the unit price of the perfume in euros per milliliter by the volume of the bottle in milliliters.

the unit of the unit price is: euros per milliliter

And the unit of the volume is: milliliters

By multiplying the two units: the unit of the result will be euros

Evaluate: sin(30 degrees)cos(60 degrees)=(See attached image to assist with these 2 problems)

Answers

According to the figure we need to evaluate the sin(30°) and the cos(60°). Remember the trigonometric relations defined over the rectangle triangles as follows, suppose we have an angle called "alpha"

[tex]\begin{gathered} \sin(\alpha)=\frac{oc}{h}, \\ \\ cos(\alpha)=\frac{ac}{h}, \\ \\ tan(\alpha)=\frac{co}{ca} \\ \\ where\text{ }h:Hypotenuse,\text{ }ac:Adjacent\text{ }cathetus\text{ and }oc:Opposite\text{ }cathetus \end{gathered}[/tex]

Now, according to the figure, we have that for the angle of 60 degrees:

[tex]\begin{gathered} h=2x,ac=x,oc=\sqrt{3}x \\ \\ \sin(60°)=\frac{oc}{h}=\frac{\sqrt{3}x}{2x}=\frac{\sqrt{3}}{2} \\ \\ \cos(60^{\circ})=\frac{ac}{h}=\frac{x}{2x}=\frac{1}{2} \end{gathered}[/tex]

And for the angle of 30 degrees we get the following

[tex]\begin{gathered} h=2x,oc=x,ac=\sqrt{3}x \\ \\ \sin(30°)=\frac{oc}{h}=\frac{x}{2x}=\frac{1}{2}=\cos(60°) \\ \\ \cos(30^{\circ})=\frac{ac}{h}=\frac{\sqrt{3}x}{2x}=\frac{\sqrt{3}}{2}=\cos(60^{\circ}) \end{gathered}[/tex]

So, your answer is: sin(30°)=1/2=cos(60°).

Dave started at the black dot and traveled the distance shown on the map on his bike. The length of the section in red is not known.

About how far did Dave travel on his bike?

Answers

Answer: 9,00

Step-by-step explanation:

I am right.

Answer:

1,402

Step-by-step explanation

the red line is further than the 1,396

The vertices of ABCDE are A(-6,0), B(-3,0), C(0, -3), D(-3,-6), and E(-6, -3). Find the vertices of the image after a translation using the rule (x,y) - (x + 9, y-6) and a dilation with a scale factor of 4s centered at the origin.

Answers

Vertices of new image: A' = (12, -24)

B' = (24, -24)

C' = (36, -36)

D' = (24, -48)

E = (12, -36)

Explanation:

A(-6,0), B(-3,0), C(0, -3), D(-3,-6), and E(-6, -3)

A translation of (x + 9, y-6)

A becomes A'

A' = (-6 + 9, 0 - 6) = (3, -6)

B(-3,0)

B becomes B'

B' = (-3+9, 0 - 6) = B' (6, -6)

C(0, -3)

C becomes C'

C' = (0+9, -3-6) = C' (9, -9)

D(-3,-6)

D becomes D'

D' = (-3+9, -6-6) = (6, -12)

E(-6, -3)

E becomes E'

E' = (-6+9, -3-6) = (3, -9)

A dilation with scale factor of 4, we multiply the cooordinates of the alphabeths with prime with 4.

Vertices of new image:

A' = 4(3, -6) = (12, -24)

B' = 4(6, -6) = (24, -24)

C' = 4(9, -9) = (36, -36)

D' = 4(6, -12) = (24, -48)

E = 4(3, -9) = (12, -36)

fill in the table using the function rule y=3x+5

Answers

Fill in the table using the function rule y= 3x + 5​

________________________________________

Replace each value of x in the expression

____________________________________

x= -4

y = 3* (-4)+5​

= -12 +5

= -7

_______________

x= -2

y = 3* (-2)+5​

= -6 +5

= -1

_____________

x= 0

y = 3* (0)+5​

= 0 +5

= 5

_____________

x= 2

y = 3* (2)+5​

= 6 +5

= 11

______________________________

Answer

_________________________

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Write the equation of the parabola in vertex form given the vertex (–2, 3) and point (0, 1).

Answers

[tex]y=a(x-h)^2+k[/tex][tex]y=a(x-(-2))^2+3[/tex][tex]y=a(x+2)^2+3[/tex][tex]1=a(0+2)^2+3[/tex][tex]1=4a+3[/tex][tex]\frac{1-3}{4}=a[/tex][tex]-\frac{1}{2}=a[/tex]

the equation is

[tex]y=-\frac{1}{2}(x+2)^2+3[/tex]

Find the prime factorization of the following number write any repeated racists using exponents

Answers

Prime factorization refers to the process of decomposing a given number into a product of prime numbers that can be repeated or not.

Let's remember that prime numbers are numbers that can only be divided by 1 or itself.v Having this in mind we have that the prime factorization of 66 is:

[tex]66=(2)(3)(11)[/tex]

Goran rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 92 cents for each mile driven. Goran had to pay $252.82 when he returned the truck. For how many miles did he drive the truck?

Answers

Let x be the miles driven, and y be the cost, then we can write the following relationship:

[tex]y=0.92x+20.99[/tex]

In our case, we know that the final cost was y=252.82 and we need to find the miles given by x, then, we have

[tex]252.82=0.92x+20.99[/tex]

By moving 20.99 to the left hand side, we have

[tex]\begin{gathered} 252.82-20.99=0.92x \\ 231.83=0.92x \end{gathered}[/tex]

then, x is given by

[tex]\begin{gathered} x=\frac{231.83}{0.92} \\ x=251.98\text{ miles} \end{gathered}[/tex]

then, the answer is 251.98 miles

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Help the question is attached Which fact is true during a fission chain reaction?(1 point)The total number of protons will increase over time.The total number of protons will increase over time.The total number of protons will decrease over time.The total number of protons will decrease over time.The number of freely-moving neutrons decreases over time.The number of freely-moving neutrons decreases over time.The number of freely-moving neutrons increases over time. which graph best repersents tge solution to the system of equationsy=x+4 y=3x-6 What is the difference between 63,209 and 8,846? 72 inches=___ yards please and thank you for your help Please assist me, oh great smart people of the internet! if a company has a code of ethics, a employees will always know how to behave under all circumstances. b the company will more easily be able to identify proper employee behavior c it should be worded in such a way as to stress forbidden actions rather than acceptable behavior. d all of the above are true Geometric Vectors in Cartesian Form what are the commercial advantages of photography in advertising and fashion? Which of the following is NOT an example of energy convertinga kid swinging on a swing a bouncing ball a sandwich on a tablea falling acorn Why does so much of the Japanese diet come from the ocean?A.Because farmers export their crops to other countries.B.Because there is limited land for growing crops.C.Because the government only allows a certain number of farms.D.Because the Japanese people prefer fish over all other food. Describe the roles of sugars in the bodyIdentify the atoms found in sugarIdentify the class/type of macromolecule to which sugar belongs Select the correct phrase in the drop-down menu to complete the sentence for the first job down you have G(-1)____the answer can be either greater than h(-1) or equal to h(-1) or less than h(-1) . For the second drop down answer it has G(1)____ the answer can be either greater than h(1) or equal to h(1) or less than h(1) Answer the questions below.(a) The perimeter of a rectangular parking lot is 314 m.If the width of the parking lot is 71 m, what is its length?Length of the parking lot: 0 m(b) The area of a rectangular pool is 8075 m.If the length of the pool is 95 m, what is its width?Width of the pool: m In scientific notation, 0.00000729=? determine the number light . determine the sign of each aggression below how can employers avoid alienating workers and improve organizational commitment? research indicates that is key. Now, use the angle measurement tool to measure the angles of each polygon. Do the angle measures agree with your results ? A rectangular park is 60 meters wide and 105 meters long. Give the length and width of another rectangular park that has the same perimeter but a smaller area. I need help with my math