The domain of a function g(x) is x < 2, and the range is y> 0. What are the
domain and range of its inverse function, g 1(x)?

Answer:

b)

Step-by-step explanation:

In every single other option, the y is not corresponding in amount to x. However in b), y is 6 times x, making b the correct answer as it is the only solution where y is directly corresponding to x

Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

Answer:

C

Step-by-step explanation:

The number of people who have heard a rumor is modeled by the logistic function:

[tex]\displaystyle f(x)=\frac{260}{1+23e^{-0.06x}}[/tex]

And we want how many days has passed since the rate at which the rumor spread began to decrease.

First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.

Recall that the point of maximum growth is always half of the maximum capacity.

In this case, that point will be 260/2 = 130.

For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:

[tex]\displaystyle 130=\frac{260}{1+23e^{-0.06x}}[/tex]

Cross-multiply:

[tex]130(1+23e^{-0.06x}})=260[/tex]

Distribute:

[tex]130+2990e^{-0.06x}=260[/tex]

Solving for x:

[tex]2990e^{-0.06x}=130[/tex]

Therefore:

[tex]\displaystyle e^{-0.06x}=\frac{130}{2990}=\frac{1}{23}[/tex]

Taking the natural log of both sides:

[tex]\displaystyle -0.06x=\ln\Big(\frac{1}{23}\Big)[/tex]

Therefore:

[tex]\displaystyle x=\frac{\ln(1/23)}{-0.06}\approx52.3[/tex]

After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.

Answer:

====================================================

Explanation:

To find the volume of the current prism, we multiply length width and height to get 6*12*15 = 1080

Take 1/3 of this to get (1/3)*1080 = 360

To find three different prisms where they have a volume of 360, we just need to think of ways to multiply to 360 using 3 numbers.

Here are some possibilities:

There are other possibilities as well, but you only need to pick three from that list. Or you can come up with other combos as well as long as the three numbers multiply to 360.

If we go with the first three rows for prisms 1, 2, and 3 in that exact order, then

Answer:

42.5 cm²

Step-by-step explanation:

1/2x17x5 = 42.5

Answer:

19m

Step-by-step explanation:

Multiply 3 and 6m

18m+m

Now you can add to get your answer

19m

Hope this helps!!!

Have a great day!!!!!

Answer:

13.5 cm

Step-by-step explanation:

The altitude of the base of the isosceles triangle bisects the vertex angle, <T, and also bisects the base, NS.

Therefore, NS is divide into two, 15 cm each.

This means we now have two right triangles from the isosceles triangle with the following:

Reference angle = 42°

Opposite = altitude = h

Adjacent = 15 cm

To find h, apply trigonometric function, TOA:

Tan 42 = Opp/Adj

Tan 42 = h/15

15 * Tan 42 = h

h = 13.5060607 ≈ 13.5 cm (nearest tenth)

Answer: 1.2 or 5 (there’s two solutions)

Step-by-step explanation:)

Answer:

Step-by-step explanation:

Answer:

4x²-11x-3

3x²+5x-2

It was very hard to find this. Mark me as brainliest plz.

Answer:

you would save 4$

Step-by-step explanation:

Answer: 2.1

Step-by-step explanation:

Answer: B and D

Step-by-step explanation: 8.3 · cos (90° -75°) , and i cant remember what D was sorry

Khan Academy

Answer:

1 and 1/3

Step-by-step explanation:

2 * 2 = 4, 4/3 is 1 and 1 /3

Answer:

4/9

Step-by-step explanation:

Answer:

36.8 ft^2

Step-by-step explanation:

The surface is consisted of 2 triangles and 3 rectangles. The two triangles are the same the Area together = 2.2*1.5 = 3.3 ft^2, then the 3 rectangles are 2.2 X 5, 1.5 X 5 and 3 X 5, so to add them together to get the surface area so SA = 3.3 + 2.2*5 + 1.5*5 + 3 *5 = 36.8 ft^2.

If it is helpful, plz give me Brainliest.

Dude it is A!!!!!!!!!!!!!!!!!!

Answer:

the top one!

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

1/5 of $70 is 14 . so $70 - $14 is $56

1/2 of $56 is $28

Hope this helps x

Answer:

Question 3 is c, question 4 is b, and question 5 is the first option

Answer:

5 grams for each nickle

Step-by-step explanation:

Brainleiest plz.

I divided 45 and 9 and got 5

Answer:

y = -2x

Step-by-step explanation:

Equation in slope-intercept form is y = mx + b.

m = slope = ∆y/∆x

Using any two points on the line, say (0, 0) and (-20, 40),

Slope (m) = (40 - 0) / (-20 - 0) = 40/-20

Slope (m) = -2

b = y-intercept = the value of y when x = 0.

b = 0

To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b

Thus:

y = -2x + 0

y = -2x

Answer:

Cosine

Step-by-step explanation:

SohCahToa

The sides are: adjacent to the angle and are the hypotenuse.

(hope this helps :P)

Answer:

They are counting in even numbers, so using my counting skills, the answer is 4.

Answer:

positive 4

Step-by-step explanation:

it is increasing by 2 every tick mark

Answer: the greast common factor between the two is 160

Step-by-step explanation: Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 4800

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps and thanks again for helping me :)

Answer: f = 100

Step 1.

We'll need to expand 3(f - 91) by multiplying a term and an expression. The following product distributive property will be used: A(B + C) = AB + AC.

In the example, the expression will consist of 2 terms.

First term: 3 and f.

Second term: 3 and -91

Rewrite 3(f - 91) like this.

3f - 3 × 91

Step 2.

Multiply 3 by 91.

3 × 91 = 273

Hence, the answer is 100.