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3 years ago

I need help on this asap!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

The function which is created by shifting the graph of function f up 5 units is $f(x)=4^x-1$

So, Option A is correct.

Step-by-step explanation:

We are given function: $f(x)=4^x-6$

We need to determine the function which is created by shifting the graph of function f up 5 units.

The translation is vertical

If g(x)=f(x)+h then the graph is shifted up h units.

So, Applying translation:

$f(x)=4^x-6$

$g(x)=(4^x-6)+5$

Simplifying:

$f(x)=4^x-6+5$

$f(x)=4^x-1$

The function which is created by shifting the graph of function f up 5 units is $f(x)=4^x-1$

So, Option A is correct.

Keywords: Transformation

Learn more about Transformation at:

#learnwithBrainly

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I NEED HELP ASAPPP

jeka57 [31]

Answer:

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sin45=8/y

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2 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

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3 years ago

Simplify 6m plus 2m minus 5

mr Goodwill [35]

Answer:

8m-5

Step-by-step explanation:

Lets write this out in an equation.The plus means addition and the minus means subtraction.

6m+2m-5

Since there is two things with the same variable we can combine them.

8m-5

That is as simple as it gets.

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3 years ago

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What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius

pav-90 [236]

Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r.
$4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314$
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!

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3 years ago

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Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel?

Papessa [141]

Answer:

185 miles

Step-by-step explanation:

We are given that

Both Kyle and Tyler traveled total distance to the beach=425 miles

Kyle traveled distance to the beach=240 miles.

We have to find the distance traveled by Tyler.

To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.

Let x be the distance traveled by Tyler.

According to question

$x+240=425$

$x=425-240=185$ miles

Hence, Tyler travels distance to the beach=185 miles

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3 years ago

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