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leva [86]
3 years ago
5

Camila drove 30 miles per hour to get to her math class. what is the dependent quantity

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0
Equations with Independent and Dependent Variables
 Common Core Standard: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
 Dependent variable – is a variable that changes because of the other variable or depends on the other variable
 Independent variable –is a variable that is not impacted by other variables
 Dependent and independent variables are very common in the real world
 Example: Most coaches will say that the longer a player practices a sport the better the player will be at the sport.
o The dependent variable is the player’s ability, as it relies on the length of a practice
o The independent variable is the number of hours the player practices, because the player’s ability does not
impact the amount of time the player practice
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Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

6 0
2 years ago
HELP PLEASEE AND ANSWER MY OTHER QUESTIONS ASAP 5. Jesse rotated the triangle 90° clockwise about the origin to create figure
Molodets [167]

Answer:

its b cus hit dat hommie

Step-by-step explanation:

6 0
3 years ago
HURRY HELP PLS‼️‼️‼️
Brums [2.3K]

Answer:

Step-by-step explanation:

To solve this problem you need the function

 

h(t) = -16t2 + v0t + h0

where t = time

v0 is the initial velocity, which in our case is 0

h0 = initial height, which in our case is 256

h(t) = 0 since we want to know when the ball will hit the ground.

 

0 = -16 t2 + 256

 

And we can solve for t

 

If we rearrange the terms we see that this is a difference of 2 squares

0 = 256 - 16t2

 

0 = (16-4t)(16+4t)

Setting each factor = 0

16-4t=0       16+4t=4

t = 4             t = -4

 

The second solution is discarded as time cannot be negative.

 

So the ball will hit the ground in 4 seconds.

6 0
2 years ago
A type of thermometer has temperature readings at the freezing point of water that are normally
irinina [24]

Answer: I'm pretty sure its -0.74

7 0
2 years ago
What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?
xenn [34]
For the answer to the question above asking the explicit equation and domain for an arithmetic sequence with the first term of 5 and the second term of 2? I think the answer for this is <span>5-2(n-1); all integers where n≥0. I hope this helps.</span>

7 0
3 years ago
Read 2 more answers
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