If given the edge of a cube blank to determine the volume

Liula [17]

Y = -0.33x + -5.00 (rounded to the nearest 100)

7 0

3 years ago

Patrick and Shelby are playing a game. They toss a fair six-sided number cube, numbered 1 through 6, and they spin a spinner whi

zhuklara [117]

Answer:

(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)

(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)

Step-by-step explanation:

8 0

2 years ago

Could anyone help answer the question in the photo?

Kipish [7]

Answer:

$n = -3/10$

Step-by-step explanation:

Given the expression $\frac{\sqrt[5]{b} }{\sqrt[]{b} }$

$\frac{\sqrt[5]{b} }{\sqrt[]{b} } \\= \frac{b^{1/5}}{b^{1/2}} \\= b^{1/5-1/2}\\= b ^{2-5/10}\\= b^{-3/10}\\Compare \ b^n \ with \ b^{-3/10}\\\\n = -3/10$

7 0

3 years ago

The function h(x) = x2 + 14x + 41 represents a parabola.

defon

Part A:

$h(x)= x^{2} +14x+41$

The first step of completing the square is writing the expression $x^{2} +14x$ as $(x+7)^{2}$ which expands to $x^{2} +14x+49$ .

We have the first two terms exactly the same with the function we start with: $x^{2}$ and $14x$ but we need to add/subtract from the last term, 49, to obtain 41.

So the second step is to subtract -8 from the expression $x^{2} +14x+49$

The function in completing the square form is
$h(x)= (x+7)^{2}-8$

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

$x+7=0$
$x=-7$

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape.
A quadratic function $a x^{2} +bx+c$ can either make U-shape or ∩-shape depends on the value of the constant $a$ that goes with $x^{2}$ . When $a$ is (+), the curve is U-shape. When $a$ (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is $x=-7$

This function is shown in the diagram below