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4 years ago

Can you please find the domain and the range

Mathematics

1 answer:

ohaa [14]4 years ago

6 0

Answer:

domain: (-4, ∞)
range: [-4, ∞)

Step-by-step explanation:

The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).

The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).

Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.

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Robert says the expression 2+3 times 7 and 2+(3 times 7) have the same value. Is Robert correct? Explain your answer and evaluat

erastovalidia [21]

Yes because you multiply first so in this case you multiply 7 and 3 first. Since the second expression is in parenthesis you do that first just like you do 7 times 3. Then you just add 2 to that. The value of both expressions is 23

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3 years ago

Helena is baking a cake that requires three and one-half cups of flour. Helena accidentally poured five and one-sixth cups of fl

RUDIKE [14]

Amount of flour Helena accidentally poured $=5\frac{1}{6} =\frac{31}{6}$ cups of flour.

Amount of flour the cake requires $=3\frac{1}{2} =\frac{7}{2}$ cups of flour.

Amount of flour that Helena should take out $=\frac{31}{6} - \frac{7}{2}$

$=\frac{31}{6} - \frac{7 \times 3}{2\times 3}$

$=\frac{31}{6} - \frac{21}{6}$

$=\frac{31-21}{6}$

$=\frac{10}{6}$

$=\frac{5}{3}$

$=1\frac{2}{3}$ cups of flour.

3 0

4 years ago

What is the answer to 16 is 40% of

OLEGan [10]

16/40 x 100 =40
so the answer is 40

4 0

4 years ago

Read 2 more answers

Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the temperature of Johnstown during

trapecia [35]

Answer:

Part A Part B Part C explained

Step-by-step explanation:

PART A: Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)

Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.

End behavior: We can guess that as x approaches infinity, the functions approaches negative infinity, and as x approaches negative infinity, the function approaches infinity.

Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)

PART B: The relative minimums indicate that the two lowest temperatures occurred on day 4 at -2°F and day 7 at -3°F. The relative maximums indicate that the weekly highs were day 1 at 6°F and day 6 at 0°F.

The zeros of the function represent when the temperature in Johnstown was 0°F. This happened sometime between days 3 and 4 and on day 6.

In the context of the problem, it doesn’t make sense to go an infinite number of degrees below zero. And, the end behavior is ignored because of the restricted range.

The intervals of increase indicate when the temperature is rising, and the intervals of decrease indicate when the temperature is dropping. The intervals where the values are positive indicate when the temperature is above 0°F. The intervals where the values are negative indicate when the temperature is below 0°F.

PART C: The domain is restricted to the number of days the town recorded the temperature. So, the domain is [1, 7].

The range represents the range of temperatures of Johnstown over the course of one week. So, the range is [-3, 6].

6 0

3 years ago

Write a subtraction sentence where the difference is positive use a positive n negative integer

mario62 [17]

(-9)(9) so -9*9
that the aswer

5 0

4 years ago