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3 years ago

What is the property of this

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

8 0

The identity property of addition; if you add 0 to any numerical or non-numerical value, that value stays the same, or keeps its identity.

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If x^2+2=3^2/3+3^-2/3 then prove that 3x^3+9x-8=0

gregori [183]

Answer:

See below.

Step-by-step explanation:

x^2 + 2 = 3^2/3 + 3^-2/3

x^2 = 3^2/3 + 3^-2/3 - 2

x = √(3^2/3 + 3^-2/3 - 2)

x = 0.748888296

Substitute for x in 3x^3 + 9x - 8:

3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.

So it is proved.

6 0

3 years ago

Read 2 more answers

Please help me out!

seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

$f(x) =(x-1)(x+7)$

Use the distributive property to multiply the expression

$f(x) =x^2+7x-x-7$

$f(x) =x^2+6x-7$

For a function of the form $f (x) = ax ^ 2 + bx + c$ the x coordinate of the vertex is:

$x =-\frac{b}{2a}$

Then in this case the coordinate of the vertex is:

$x =-\frac{6}{2(1)}$

$x =-3$

To obtain the y coordinate of the vertex we evaluate the function at $x = -3$

$f(-3) =(-3)^2+6(-3)-7$

$f(-3) =9-18-7$

$f(-3) =-16$

Then the vertex is: (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for $x$ and $x> 1$

The correct answers are:

Second option

Third option

Fourth option

7 0

3 years ago

Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.

spayn [35]

Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞

7 0

3 years ago

Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall

Gekata [30.6K]

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

The equation for f(l) is: $f(l) = 1.5l$ .
The desired length and width are 8m and 4m

Given that:

$l = 2w$

Divide both sides by 2

$w = 0.5l$

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

$f(l) = l + w$

Substitute $w = 0.5l$

$f(l) = l + 0.5l$

$f(l) = 1.5l$

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

$f(l) = 12$

So, we have:

$1.5l = 12$

Divide both sides by 1.5

$l = 8$

Recall that:

$w = 0.5l$

$w = 0.5 \times 8$

$w = 4$

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

8 0

3 years ago

Which relation is a function

Alenkinab [10]

Answer:

Top left

Step-by-step explanation:

In order for it to be a function, it has to pass the vertical line test. So draw a line down the middle of the graphs. If it passes once, then it is a function, if it passes more than once it is not.

3 0

3 years ago