Simplify the expression: (-3x - 8)(-x+4)

Mathematics

2 answers:

SashulF [63]4 years ago

4 0

Answer:3

Step-by-step explanation:

torisob [31]4 years ago

3 0

Answer:

3x^2 - 5x - 32

Step-by-step explanation:

FOIL this!

(-3x * -x)-13x+8x-32

3x^2-5x-32

watch the signs.

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Simplify the expression. Write your answer as a power. <br> (23)^2⋅(23^)6

dalvyx [7]

(23)^8 b/c when multiply powers you add the exponent values together

8 0

3 years ago

Manny observed a Northern Gannet, a deep diving seabird, hovering at a height of 10 meters above the ocean surface. The bird the

mr Goodwill [35]

Answer:

9.2 seconds.

Step-by-step explanation:

We have been given an equation that represents dive of a bird as $y=x^2-10.3x+10$ , where x represents the time the dive lasted in seconds and y represents the height of the bird in meters.

We can see that our given equation is a parabola. The leading coefficient is positive, so our parabola will be an upward opening parabola.

Upon graphing our given equation, we will get our required graph as shown in the attachment.

As x represents the time the dive lasted in seconds and y represents the height of the bird in meters, so the bird will be at the surface when the graph will cross x-axis.

We can see that graph crosses x-axis at $x=1.085\text{ and }x=9.215$ .

Upon rounding to nearest tenth, we will get:

$x\approx 1.1\text{ and }x=9.2$ .

At $x\approx 1.1$ the bird dives in water and goes down the water surface and at $x=9.2$ the bird comes to the surface, therefore, the bird will be at surface after 9.2 seconds.