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yuradex [85]
3 years ago
6

A video game sets the points needed to reach the next level based on the function g(x) = 12(2)x − 1, where x is the current leve

l. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 3x. How many points will a player need on the hardest setting of level 6?
18 points
384 points
4020 points
6912 points
Mathematics
1 answer:
Elden [556K]3 years ago
8 0
In the function g(x) the exponent is (x - 1), so g(x) = 12 * 2 ^ (x -1)

h(x) = 3x

So, you have to find the product f(x) * h(x) for x = 6

f(6) = 12 * 2 (6 -1) = 12 * 2(5) = 12 * 32 = 384

h(6) = 3(6) = 18

f(6) * h(6) = 384 * 18 = 6912

Answer: 6912
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What is an equation of the line that passes through the points (-1, 6) and<br> (-1, –5)?
miskamm [114]

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11

   

3 0
3 years ago
How do you find an exact value for sin of 40 degrees without using a calculator
Cerrena [4.2K]
Sin 40° + sin 130° + sin 220° + sin 310° = ...
sin 130° = sin 50°;
sin 220° = - sin 40°;
sin 310° = - sin 50°
... = sin 40° + sin 50° - sin 40° - sin 50° = 0
Answer: 0.

8 0
3 years ago
Kathy has savings a hundred thousand if she invested 100,000 in a saving fund thats adds 5% each year about how much will her sa
jok3333 [9.3K]

Answer:200,000

Step-by-step explanation:

If it increases 5% every year in 20 years it will Have increased 100% therefore the number would have doubled

5 0
3 years ago
Which one of the following formulas correctly expresses this statement: A quantity x is equal to the sum of the squares of a and
Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

We have to find the expresses this statement: A quantity x is equal to the sum of the squares of a and b.

The square of a can be written as a² and the square of b can be written as b².

The sum of squares of a and b can be written as

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Since the quantity x is equal to the sum of the squares of a and b, therefore

x=a^2+b^2

Therefore option D is correct.

5 0
3 years ago
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