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CaHeK987 [17]
2 years ago
14

Write an inequality to describe the region. The region between the yz-plane and the vertical plane x = 5

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

The inequality will be 0 < x < 5 .

Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes.  Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.

The y z - plane is represented by the equation x = 0 .

As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .

Therefore , the inequality will be 0 < x < 5 .

To learn more on inequality follow link :

brainly.com/question/24372553

#SPJ4

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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
Any answers I need help
natulia [17]

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

(5*21)=105\\105-15=90

6 0
2 years ago
Read 2 more answers
Which of the following equations has the same solution as m - (-62) = 45?
Alex777 [14]

Answer:

Step-by-step explanation:

m + 62 = 45

m = -17

x + 25 = 8

x = -17

6 0
3 years ago
Read 2 more answers
1) Has zeros at -2 and 4, both being double roots<br><br> 2) As x→∞, y→−∞
irina1246 [14]
-(x+2)^2(x-4)^2

Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4

If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.

The negative in front flips the function over the x-axis and holds true to the given limit.
3 0
3 years ago
John has a map that shows a rectangular park with a circular pond. The scale on the map is 114 cm : 8 yd. On the map, the width
Ivenika [448]

Answer:

The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm.

Step-by-step explanation:

first we would use A=length x width

so a = 614 cm x 212 cm = 130,168 cm

now we find the area of the pond using a= pi x r^2

the diameter is 114 cm so we cut that in half to find the radius which is 57 cm

a = pi x 57^2

a= 3.14 x 3249

a= 10201.86 cm

now we subtract the area of the pond from the whole area

130,168 - 10201.86 = 119,966.14 cm

The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm

4 0
2 years ago
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