What value of coefficient b makes the equation true for any real number x?<br> 3(2x

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)

Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

Also when the parent function is translated any 'a' units down then 'a' is subtracted from the value of function. thus making f(x)-a

Translating f(x), 7 units to the left

f(x+7)= (x+7)^2

Translating f(x+7), 3 units down

f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0

2 years ago

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

Talja [164]

11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.

4 0

2 years ago

Select the correct answer.

arlik [135]

Option B is correct

Why

3x=21

3(7) =21

21=21

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm

FrozenT [24]

Answer:

a) $P(1$

b) $P(X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

$X \sim N(1.5,0.8)$