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Romashka-Z-Leto [24]
3 years ago
14

Select the values that make the inequality h < 2 true.

Mathematics
1 answer:
weqwewe [10]2 years ago
3 0

Given:

The inequality is:

h\leq 2

To find:

The values that make the given inequality true.

Solution:

We have,

h\leq 2

It means the value of h must be less than or equal to 2.

In the given options, the list of numbers which are less than or equal to 2 is

-6, -3, -1, 1, 1.9, 1.99, 1.999, 2

The list of numbers which are greater than 2 is

2.001, 2.01, 2.1, 3, 5, 7, 10

Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and
wariber [46]

Answer:

E 0.923

Step-by-step explanation:

The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:

z=\frac{x-\mu}{\sigma}, Where μ is the mean, σ is the standard deviation and x is the value.

Given that:

σ = 7, μ = 80 and x = 90  

z=\frac{x-\mu}{\sigma}=\frac{90-80}{7} =1.43

From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923

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3 years ago
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Verizon [17]

Answer:

Exact Form:

x

=

64/21e

Decimal Form:

x

=

1.12115639

Step-by-step explanation:

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2 years ago
Michaela is training for a race. She runs 5 miles in 52 minutes. Her goal is to run 6 miles in 1 hour. By how many minutes per m
Leya [2.2K]

Answer:

2 min

Step-by-step explanation:

she runs 5 miles in 52 min

her goal is 6 miles

so if 5 miles is completed in 50 min then 1 mile = 10 min

and 6 mile = 60 min

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Answer:

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Step-by-step explanation:

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