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Arte-miy333 [17]
3 years ago
10

Solve the inequalities: x(x+2)(x-7)≤0

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

x\leq-2 or 0≤x≤7

Step-by-step explanation:

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Answer:C. 17,280

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Can someone answer question 2a and b only please
Mice21 [21]

Answer:

2a)  -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

                 f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒         16a - 6 = 0

⇒              16a = 6

⇒                  a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒      3/8(x - 2)² = 6

⇒           (x - 2)² = 16

⇒              x - 2 = ±4

⇒                   x = 6,  -2

Therefore, the other x-axis intercept is -2

b)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

                 f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒         36a - 6 = 0

⇒              36a = 6

⇒                  a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒  1/6(x - 2)² - 6 = 0

⇒       1/6(x - 2)² = 6

⇒           (x - 2)² = 36

⇒              x - 2 = ±6

⇒                   x = 8,  -4

Therefore, the other x-axis intercept is 8

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2 years ago
A ball is thrown upward off of a 100 meter cliff with an initial velocity of
Shtirlitz [24]

108

I'm not positive but i belive this is correct

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3 years ago
This is the amount you use when figuring a tip at a restaurant:
Georgia [21]
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3 years ago
What is the slope of this graph
Elden [556K]

Answer:

The slope of the line = m = 2

Step-by-step explanation:

Given

The points

  • (0, 0)
  • (1, 2)

To determine:

The slope of this graph

Determining the slope between (0, 0) and (1, 2)

  • (x₁, y₁) = (0, 0)
  • (x₂, y₂) = (1, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 0] / [1 - 0]

               = 2 / 1  

Thus, the slope of the line = m = 2

8 0
3 years ago
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