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Mandarinka [93]
2 years ago
13

Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?

Mathematics
1 answer:
mote1985 [20]2 years ago
3 0

Answer:

g(x) = 6x^2-1

Step-by-step explanation:

f(x)=3/4x^2 −1.

A vertical stretch by a factor of 8 you multiply the number with x by the factor:

3/4 x 8 = 6

g(x) = 6x^2-1

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
Given points A (-5, 6) and B (7, -1), find: Distance, Midpoint, and Slope
a_sh-v [17]
We have that
<span>points A (-5, 6) and B (7, -1)

Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193  units

Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5

the midpoint is (1,2.5)

Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12

the slope m=-7/12
4 0
3 years ago
due to recent damand, target is rasing the price of a certain video game by 24%. If the game previously sold for $25, what was t
brilliants [131]

increase =  25* .24 = 6 dollars

new price = old price + increase

new price = 25+6

new price = $31

5 0
3 years ago
A sample of lake water contains 150grams of salt. If 30% of the water sample is salt, find the number of grams the entire sample
hjlf

Answer:

500 grams

Step-by-step explanation:

Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:

30% * x = 150

Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:

0.30 * x = 150

Divide both sides by 0.30:

x = 500 grams

Hope this helps!

5 0
3 years ago
Parker rolled a number cube 50 times the three appeared 12 times what is the experimental probability of rolling a 3
horsena [70]
12/50 is the probability of rolling a 3
12/50= He has a 24% chance of rolling a three
3 0
3 years ago
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