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Ede4ka [16]
3 years ago
13

We have a negative relationship between number of drinks consumed and number of marks in a driving test. One individual scores 3

on number of drinks consumed, another individual scores 5 on number of drinks consumed. What will be their respective scores on the driving test if the intercept is 18 and the slope -3?
Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

Driver 1 score: 9

Driver 2 score: 3

Step-by-step explanation:

We are given the following in the question:

The number of marks scored on a driving test are y(x) is a dependent variable and the number of drinks taken by the driver is the independent variable(x).

Slope, m = -3

y-intercept,c = 18

Then, we can write the regression equation as:

y(x) = mx + c\\y(x) = -3x + 18

Driver 1 consumed 3 drinks.

We put x = 3 in the regression equation.

Thus, the predicted driving 1 score for driver 1 is

y(3) - -3(3) + 18\\y(3) = 9

Driver 1 predicted score is 9.

Driver 2 consumed 5 drinks.

We put x = 5 in the regression equation.

Thus, the predicted driving 2 score for driver 2 is

y(5) - -3(5) + 18\\y(5) = 3

Driver 2 predicted score is 3.

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Step-by-step explanation:

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collect like terms

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1.the graph of y = x² is moved five units upward
KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

8 0
2 years ago
(3t + 7)−2(6.3t + 4) *<br><br> 15.6t − 1<br> 15.6t + 15<br> −9.6t + 15<br> −9.6t - 1
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Answer:the anser is -9.6t-1

Step-by-step explanation:

8 0
2 years ago
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