What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answer:

x =0   x=7

Step-by-step explanation:

x^2 - 7x=0

Factor out an x

x(x-7) =0

Using the zero product property

x =0   x-7 =0

x =0   x=7

Answer:

A. The number quadrupled each week

Step-by-step explanation:

f(x)= 3(4)^x

As per the function, each week number increases 4 times

So the answer choice is A

Answer:

5/3

Step-by-step explanation:

The line goes through the points (0,0) and (3,5)

m = (y2-y1)/(x2-x1)

   = (5-0)/(3-0)

   = 5/3

Answer:

Step-by-step explanation:

Subtract the distance driven by Rohan from the total distance

Distance driven by Raj = 1245 - 412

                                     = 833 km

Answer:

y = 3x - 6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

15x - 5y = 30

Subtract 15x from each side

15x-15x - 5y =-15x+ 30

-5y = -15x+30

Divide each side by -5

-5y/-5 = -15x/-5 +30/-5

y = 3x - 6

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Step-by-step explanation:

Given: Distance covered = 72 miles

On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.

To find: speed

Solution:

Let speed be x miles/hour

Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex]  hours

On the way back, she had to drive 18 miles per hour slower due to road construction

So, new speed = ( x - 18 ) miles/hour

Time taken as per new speed = [tex]\frac{72}{x-18}[/tex]  hours

According to question,

[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]

Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected

So,

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

Answer:

yes the corresponding angles are congruent...

it can be wrong

Answer:

-2 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (30, -40)

Now the gradient;

(y1 - y2/x1 - x2)

0 - -(40) / 10 - 30

40/-20

-2/1

-2

Mark my answers as brainliest if helped thanks!

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

Answer:

10% = 1/10

20% = 1/5

100% = 3/3

75% = 3/4

Step-by-step explanation:

Answer:

Awnser is down below

Step-by-step explanation:

75= 3/4

20= 1/5

10 = 1/10

100= 3/3

Hope this helps :)

Answer:

$3.80

Step-by-step explanation:

380/100= an expected payoff of 3.8 dollars. Hope this helps!

Answer:

(x+9)(x+3)

x*x = x^2

x*3 = 3x

9*x = 9x

9*3 = 27

Answer = x^2 + 12x + 27

Hope this helps

Answer:

x^2+12x+27

Step-by-step explanation:

have a nice day:)

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

Hope this helps, Mark as brainliest if liked it! thanks!

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

3 squares

Step-by-step explanation:

The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.

The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Answer:

A line in form of y = ax + b passes (0, 2)

=> 2 = 0x + b => b = 2

This line also passes (4, 6)

=> 6 = 4x + 2 => x = 1

=> Equation of this line: y = x + 2

=> Option C is correct

Hope this helps!

:)

Step-by-step explanation:

Answer:

the order of rotational symmetry of the shape is 2

Answer:

A

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]2^2+5^2=c^2[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer: choice A

Step-by-step explanation:

Based on the pythagorean theorem which states

[tex]a^{2} +b^{2} =c^{2}[/tex]

c being the hypotenuse

so 2^2+5^2=c^2

and c would equal [tex]\sqrt{29}[/tex]

Answer:

-616

Step-by-step explanation:

First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1

for the first parenthesis would be -14. the second parenthesis would be 44.

then multiply both of the answers together to get -616

Answer:-220

Step-by-step explanation:

Answer:

It means in the same plane

Answer:

[(40 + 5) − 32] ÷ 9 ⋅ 2

[(45) − 32] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

  _

1.4... ⋅ 2

_

2.8... ←Answer

Step-by-step explanation:

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Answer:

7.) (m+4)(m-16)

8.) Area= 3x^3-5x^2+7x+3

Step-by-step explanation:

7.) m^2-12m-64

=(m^2+4m)+(-16m-64)

=m(m+4)-16(m+4)

=(m+4)(m-16)

8.) Area = L(W)

x^2-2x+3(3x+1)

=x^2(3x)+x^2(1)+(-2x)(3x)+(-2x)(1)+3(3x)+3(1)

=3x^3+x^2-6x^2-2x+9x+3

=3x^3-5x^2-2x+9x+3

=3x^3-5x^2+7x+3

Answer:

Step-by-step explanation:

Answer:

38 feet

Step-by-step explanation:

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.

Answer:

Its either 10 to the power of 6 or ten to the power of 5

Step-by-step explanation:

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