Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3k - 12 = 6}[/tex]

[tex]\large\text{ADD 12 to BOTH SIDES}[/tex]

[tex]\textsf{3k - 12 + 12 = 6 + 12}[/tex]

[tex]\large\text{Cancel out: -12 + 12 because it gives you 0}[/tex]

[tex]\large\text{Keep: 6 + 12 because it helps you solve for k}[/tex]

[tex]\mathsf{6 + 12 = 18}[/tex]

[tex]\large\text{New equation: 3k = 18}[/tex]

[tex]\mathsf{3k = 18}[/tex]

[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3k}{3} = \dfrac{18}{3}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you 1 }[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{18}{3}}\large\text{ because that helps you solve for k}[/tex]

[tex]\large\text{New equation}\mathsf{\dfrac{18}{3}=k}[/tex]

[tex]\mathsf{\dfrac{18}{3}=18\div3\rightarrow\bf 6}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf k = 6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

Whenever you divide two terms with the same base, you keep the base and subtract the exponents.

Example:

x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴

or

8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷

Whenever you multiply two terms with the same base, you keep the base and add the exponents.

Example:

x³ × x⁷ = x³⁺⁷ = x¹⁰

or

12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

Micah can earn $2,669

I hope this helps

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The perimeter is all the sides added up

2.5x + 2.5x + 10 + 2 + 10 =>

5x + 22

It is also given that the perimeter is 10.5x

meaning that both these values are equal

5x + 22 = 10.5x

Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

−

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

−

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

−

y

=

3

x

−

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

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

Answer:It connects with the line showed

Step-by-step explanation:

Answer: the y-intercept is (0,-1)

u get this by looking at the coordinate on the y axis and figure it out...

Step-by-step explanation:

Answer:

besti you didnt put the statement

Answer:

∠RPQ = 53°

Step-by-step explanation:

∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,

∠SPR + ∠RPQ = 90°

We know that ∠SPR = 37°, so

37° + ∠RPQ = 90°

∠RPQ = 90° - 37°

∠RPQ = 53°

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

Answer:

hello

The answer will be 5

Step-by-step explanation:

hope it helps

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Answer:

180

Step-by-step explanation:

Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

----------------

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

-------------------------

44x-32y=-16

-44x+33y=22

-------------------

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Answer:

r = -0.13475

Step-by-step explanation:

Here, we want to select a value for a weak negative correlation

When a correlation is week, its value is usually less than -0.5

In this case, we have our correct answer as r = -0.13475

Answer:

4,3 8,2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For every input there can only be ONE output

Answer:

volume = 157 units³

Step-by-step explanation:

volume = 1/3πr²h

volume = 1/3(3.14)(5²)(6) = 157 units³

Answer:

They are still congruent even after being rotated they still will remain the same shape.

Step-by-step explanation:

Answer:All the sides of each shape must be identical. so yes if it is

Step-by-step explanation: