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Elza [17]
3 years ago
7

Express 4x^2 − 12x in the form (2x + a)^2 + b.

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer: (2x-3)^2-9\\

a=-3

b=-9

Step-by-step explanation:

4x^2-12x=(2x)^2-2*2x*3+9-9\\=(2x-3)^2-9\\

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Find the inverse f^-1(x) if f(x)=x+2
stiks02 [169]

Answer:

f^-1(x) = x - 2

Step-by-step explanation:

To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.

x = y + 2

-2 both sides.

x - 2 = y

y = x - 2

The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).

f^-1(x) = x - 2

I hope you find this helpful. :)

3 0
3 years ago
(PLEASE SOLVE ASAP!!) Suppose the entry fee to Arches national park is $25 per vehicle. Suppose the entrance fee to Bryce nation
GarryVolchara [31]

Answer:

Bryce national park has the greatest cost per vehicle.

Step-by-step explanation:

From the question, we are given the following:

<u>For Arches national park</u>

Cost per vehicle or entry fee per vehicle at Arches national park = $25

<u>For Bryce national park</u>

We have:

y = 30x ........................... (1)

y = the total cost in dollars

x = the number of vehicles

To obtain the cost per vehicle at Bryce national park, we have to assume that the number of vehicles is one by setting x equal to one, that is, x = 1.

Substituting x = 1 into equation (1), we have:

y = 30 * 1 = 30

This implies that cost per vehicle at Bryce national park is $30.

<u>Conclusion</u>

Since the $30 cost per vehicle at Bryce national park is greater than the $25 cost per vehicle at Arches national park, it therefore implies that Bryce national park has the greatest cost per vehicle.

5 0
3 years ago
PLS help me with this!
shepuryov [24]
He can make 32 sandwiches. Since he uses 1/8 pound of cheese for each sandwich, he can make 8 sandwiches using 1 pound of cheese (1/8 x 8 = 1). Now that you know he can make 8 sandwiches with 1 pound of cheese, multiply 8 (this is the sandwiches) by 4 (pounds of cheese).
4 0
3 years ago
what is the measure of the central angle of a circle with a radius 24 ft that intercepts at 10 ft arc? use 3.14 as pie​
Brrunno [24]

Answer:

central angle =23.88°

Step-by-step explanation:

Given:Arc length =10ft

           radius= 24ft

To find : central angle

Formula: Arc length = 2πr.\frac{\theta}{360}°

                ⇒{\theta} = \frac{arc length.360}{2{\pi}{r}}

               ⇒ {\theta} = \frac{10(360{\degree})}{2 (3.14)(24)}

                ⇒{\theta}=23.8853503°

4 0
3 years ago
Why can't we find the area of this parallelogram​
Ira Lisetskai [31]

Answer:

To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Step-by-step explanation:

parallelogram is easy to find

4 0
3 years ago
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