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Vinil7 [7]
3 years ago
8

For what values of (m) does the graph of y=mx²-5x-2 have no x-intercepts?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0
You need to find where the discriminant is less than zero
Remember the discriminant is b^2 - 4ac
a = m
b = -5
c = -2
Set up the inequality like this
(-5)^2 - 4m(-2) < 0
25 + 8m < 0
8m < -25
m < -25/8 < -3.125

So any number less than -3.125 will make this graph have no x-intercepts (or real roots)
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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
DochEvi [55]

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0
3 years ago
What is the value of the slope of the graph of distance versus time, and what does the slope represent?
Phantasy [73]
To find the slope of the graph you pick any piece of the line, and divide the vertical difference between its ends by the horizontal difference between its ends. If the graph is distance versus time then the slope represents the speed.
7 0
2 years ago
LCM of 16, 28, and 56
Sindrei [870]

Answer:

2

Step-by-step explanation:

2x8=16, 2x14=28, and 2x28=56

6 0
3 years ago
Write a real-world word problem that can be solved using elapsed time. Include the solution.
ElenaW [278]
Or...you could do this.

Lacey walks in a store at 8:30,the store opens at 12:00,how much time does Lacey have to get the store opened and stock the shelves?

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3 years ago
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Karo-lina-s [1.5K]

Answer:

12x-6y

Step-by-step explanation:

you mutliply whats in the paranthensis first

5 0
3 years ago
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