Solve this equation for x. Round your answer to the nearest hundredth. 0.69=log x

|2/3-3/2|3^2-17/3 a)11/16 b)11/6 c)79/6 d)83/6

vfiekz [6]

Answer: The correct answer is: [B]:

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→ " $\frac{11}{6}$ " .

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Explanation:

We are asked to solve: |2/3-3/2|3^2-17/3 ;

Let's rewrite this problem as:

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Simplify:

" | $\frac{2}{3} - \frac{3}{2}$ | * $3^{2} - \frac{17}{3}$ | " ;

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7 0

3 years ago

A tent is in the shape of the picture shown below, calculate the total of the tent, ROUND TO THE NEAREST HUNDREDTH

Taya2010 [7]

Answer: The volume of the tent is 293.33 ft.

Explanation: 11 x 10 x 8 = 880

The formula for the volume of a right rectangular pyramid is lwh/3.

880/3 = approximately 293.33

4 0

2 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

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

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Which matrices can be added together?

MaRussiya [10]

The ones that have the same number of rows and columns

8 0

3 years ago

100 times what equil 420

kotegsom [21]

100 x 4.2 would equal 420.
The answer is 4.2

4 0

3 years ago

Read 2 more answers