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Basile [38]
3 years ago
5

Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 4 x2 − 36

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Alright, lets get started.

The given function is :

f(x) = x + 4x^{2}  - 36

When we find the domain of any function, we consider the domian is set of input values for which function should remain real and defined.

In this given function , we have not given any points where function seems going undefined.

Hence the domain is : (-∞, +∞) : Answer

Hope it will help :)

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2 bc u just do change in y over the change in x. Start from a point and go down then go to the left.
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The scores of high school seniors on the act college entrance examination in a recent year had mean μ = 20.8 and standard devia
natka813 [3]

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – μ) / s

where,

x = is the sample score = 21 or higher

μ = the population mean = 20.8

s = the standard deviation = 4.8

 

Solving for the z score:

z = (21 – 20.8) / 4.8

z = 0.0417

 

Next step to do is to find for the p value using the standard distribution tables at z = 0.04. Since we are looking for the probability of getting 21 or higher, therefore this is a right tailed test, hence

p = 0.516

<span>So there is about 51.6% that a student will get a score of 21 or greater.</span>

4 0
3 years ago
Add or subtract. Express simplest form 1 2/5 - (-1 2/15
Elenna [48]
Its 2 8/15 Conversion a mixed number 1 2
5
to a improper fraction: 1 2/5 = 1 2
5
= 1 · 5 + 2
5
= 5 + 2
5
= 7
5


To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5
5
= 5
5

b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write previous answer (new numerator 7) over the denominator 5.

One and two fifths is seven fifths
Conversion a mixed number -1 2
15
to a improper fraction: -1 2/15 = -1 2
15
= -1 · 15 + (-2)
15
= -15 + (-2)
15
= -17
15


To find new numerator:
a) Multiply the whole number -1 by the denominator 15. Whole number -1 equally -1 * 15
15
= -15
15

b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write previous answer (new numerator -13) over the denominator 15.

Minus one and two fifteenths is minus thirteen fifteenth
Subtract: 7
5
- (-17
15
) = 7 · 3
5 · 3
- (-17)
15
= 21
15
- (-17
15
) = 21 - (-17)
15
= 38
15

The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 15) = 15. The fraction result cannot be further simplified by cancelling.
In words - seven fifths minus minus seventeen fifteenth = thirty-eight fifteenths.
6 0
3 years ago
What is the total volume of pepsi in this pack of 12? Each cylindrical can has a radius of 1.25in and a height of 4.5in
Alecsey [184]
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notsponge [240]

Answer:

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6 0
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