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ipn [44]
3 years ago
13

What is the solution to the inequality x(x - 3) > 0?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

D) x<0 or x>3

Step-by-step explanation:

x(x-3)>0

either x>0 and x-3>0      .... positive-positive=positive   so x>3

or x<0 and x-3<0    ..... negative-negative=positive  so x<0

if x=0 then x(x-3)=0

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During a recent eruption, the volcano spewed out copious amount of ash. One small piece of ash was ejected from the volcano with
nlexa [21]
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0,   or, which is the same as -16t^2 + 368t = 0.Factor the left side to get  -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
6 0
3 years ago
6.3 + |8.7 + (-6.8)|
igor_vitrenko [27]

Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes
Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

cost(x) = 15 + 6.25*x

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0
3 years ago
What equation is graphed in this figure?
topjm [15]

Answer:

The third equation: y+2=-3(x-1)

Step-by-step explanation:

The two points on the line are (-1,4) and (1,-2).

Slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

m=(y_{2} -y_{1})/ (x_{2} -x_{1})

Here, (x_{1},y_{1}) and (x_{2},y_{2}) are (-1,4) and (1,-2).

Therefore, slope is equal to, m=(-2-4 )/ (1-(-1)

                                               m=-6/2

                                               m=-3  

Now, equation of a straight line with slope m and points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})

Now, if we use the 2nd form, then x_{2}=1,y_{2}=-2.

So, the equation is given as :

y-(-2)=-3(x-1)\\y+2=-3(x-1)

                                                 

8 0
3 years ago
Please help with this my sister needs help and I forgot how to do this
marishachu [46]

(2 x 100,000) + (7 x 10,000) + (9 x 100) + (5 x 10) = 270,950

4 0
3 years ago
Read 2 more answers
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