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3 years ago

For the function f(x) = 9-xcalculate the following function values: f(1) = f(2)=

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

Answer:

f(1) = 8, f(2) = 7

Step-by-step explanation:

Function: f(x)= 9-x

f(1) = 9-1 = 8

f(2) = 9-2 =7

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ZanzabumX [31]

Answer:

To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis

Step-by-step explanation:

Given

$f(x) = x^3$

$h(x) =-(x + 2)^3 - 4$

Required

Complete chart

First: f(x) was translated right by 2 units

The rule of right translation is $(x,y) \to (x + 2,y)$

So, we have:

$f'(x) = f(x + 2)$

$f'(x) = (x + 2)^3$

Next: f'(x) was translated up by 4 units

The rule of down translation is $(x,y) \to (x,y+4)$

So, we have:

$f"(x) = f'(x) +4$

$f"(x) = (x + 2)^3 +4$

Lastly, f"(x) was reflected across the x-axis;

The rule of this reflection is: $(x,y) \to (x,-y)$

So, we have:

$h(x) = -f"(x)$

$h(x) = -[(x+2)^3 + 4]$

Remove bracket

$h(x) = -(x+2)^3 - 4$

8 0

2 years ago

"Suppose that allele D produces long toes and allele d produces normal toes. A heterozygous male with the Dd genotype mates with

VARVARA [1.3K]

Answer:

30%

Step-by-step explanation:

The crossing of a male with genotype Dd with a female with genotype dd, yields the following possible outcomes:

Dd, dD, dd, dd.

Therefore, there is a 2 in 4, (50%) chance that their offspring will have the dominant allele. Since its penetrance is 60%, the dominant trait will only manifest itself in 60% of heterozygous individuals. Therefore, the probability that their offspring will have long toes is:

$P = 0.50*0.60\\P=30\%$

The probability is 30%.

7 0

3 years ago

nya wants to buy a sweater that had an original price of 55. the sweater is now discounted 20% and the sales tax rate is 5.5%. h

kondaur [170]

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

8 0

3 years ago

How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?

Elan Coil [88]

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10