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4 years ago

how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation

Mathematics

1 answer:

notka56 [123]4 years ago

5 0

Answer:

The function would be positive in:

(-9, 3]

Step-by-step explanation:

A function is considered positive on the X-axis when the changed values in the function are greater than zero. f(x) > 0

And is considered negative when f(x) < 0.

In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.

This can be written as (-9, 3]

It means that -9 is not taken but any number greater than -9 is.

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Show that (a - b)+(b-c)+(c -a)3 = 3 (a - b) (b -c) (c-a)

nikdorinn [45]

Answer:

I think that it should be

${(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)$

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

${a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)$

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

${(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)$

I am done .

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4 years ago

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If the discount rate is 20%, how much would the discount be on a pair of boots that cost $75?

sergejj [24]

20% of off $75 is $60.

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3 years ago

Find the number of pieces of floor tiles each measuring 26cm long and 10cm wide needed to lay a floor measuring 260m long and 15

ozzi

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150,000

Step-by-step explanation:

1 m = 100 cm

260 m = 260 * 100 cm = 26000 cm

15 m = 15 * 100 cm = 1500 cm

area of floor = LW = 26000 cm * 1500 cm = 39,000,000 cm^2

area of 1 tile = 26 cm + 10 cm = 260 cm^2

number of tiles needed = 39,000,000/260 = 150,000

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3 years ago

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Find the value of xin the triangle shown below

creativ13 [48]

Answer:

$x=80^{\circ}$

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to $180^{\circ}$ , we set up the following equation:

$x+50+50=180$ .

Solving, we get:

$x+100=80,\\x=\fbox{$80^{\circ}$}$ .

Solution 2:

The Law of Sines states:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ , for any triangle.

We can use this to set up a proportion with the information given:

$\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}$ .

Solving, we get:

$x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}$ .

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3 years ago

For what values of x will the function f(x) = 7x ^ 2 + 27x - 4 equal zero?

Mice21 [21]

Answer:

The function f(x) will equal zero when x = 2/17.

Step-by-step explanation:

Combine like terms and set the resulting expression equal to zero. We get:

f(x) = 34x - 2 = 0

Adding 2 to each 34x - 2 and 0, we get 34x = 2. Solving this for x yields

x = 2/17

The function f(x) will equal zero when x = 2/17.

7 0

3 years ago

how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation​

how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation