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2 years ago

Find the range of the function y= 9x-2, where x>-2

1 answer:

8 0

Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for

Step-by-step explanation:hope this helps

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Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resor

34kurt

Answer:

a) Equation for Snow Dome Ski Resort:

$I_s = 65+t$

Equation for Mt. Winterpark Ski Resort:

$I_m = 74+\frac{t}{2}$

b) After 19 hours, Snow dome will have more snow.

Step-by-step explanation:

Given that:

Initial snow at Snow Dome Ski Resort = 65 inches

Snowing rate at Snow Dome Ski Resort = 1 inch per hour

Initial snow at Mt. Winterpark Ski Resort = 74 inches

Initial snow at Mt. Winterpark Ski Resort = $\frac{1}{2}$ inch per hour

a) To write equations that show amount of snow at each resort.

Let the time in hours be represented by $t$ .

Snow increased in $t$ hours by snowing at Snow Dome Ski Resort = $1\times t = t$ inches per hour

Snow increased in $t$ hours by snowing at Mt. Winterpark Ski Resort = $\frac{1}{2}\times t = \frac{t}{2}$ inches per hour

Equation for Snow Dome Ski Resort:

$I_s = 65+t$

Equation for Mt. Winterpark Ski Resort:

$I_m = 74+\frac{t}{2}$

b) Time at which Snow Dome has more snow.

Using the above equations, we can write the following inequality:

$65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours$

After 18 hours have passed, they will have equal amount of snow.

After 19 hours, Snow dome will have more snow.

7 0

2 years ago

Tell whether (2,6) is a solution of y = 3x. (show your work)

Anna11 [10]

Answer:

Yes

Step-by-step explanation:

Yes, because 6=3*2.

4 0

3 years ago

(only subject im bad at) What is the Least Common Denominator (LCD) of 7/8 and 1/6 ?

Marizza181 [45]

24 because 8 times 3 is 24 and 6 times 4 is 24. It is the smallest number both can be multiplied by a number to get 24.

6 0

3 years ago

Answer pleaseeeeeeeeee

katovenus [111]

Answer:

$y=-\frac{8}{7}x+4$

Step-by-step explanation:

A line is perpendicular to another if its slope is the negative reciprocal of the other.

Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope $\frac{7}{8}$ . The negative reciprocal of that is $-\frac{8}{7}$ , which is the slope of the third answer choice.

5 0

2 years ago

Write equation in standard form:<br> 1.y=3/4x+5<br><br><br> 2.y+4=1/3(x+6)

Gwar [14]

1. 3x - 4y = 20

2. x - 3y = -6

5 0

3 years ago