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2 years ago

Find each sum or difference. (W^2 - 4w-1)+(-5+5w^2 - 3w)

Mathematics

1 answer:

inysia [295]2 years ago

5 0

$(w^2-4w-1)+(-5+5w^2-3w)$

Combine like terms:

$w^2-4w-1-5+5w^2-3w$ $w^2+5w^2-4w-3w-1-5$ $6w^2-7w-6$

You might be interested in

find the absolute error and percentage error in rounding; the yearly profit of $1367540 made by a company to $1.37 million

Savatey [412]

Answer:

0.18%

Step-by-step explanation:

% error= accepted value - experimental value/ accepted value

Step 1: subtract one value from another

1,367,540-1,370,00=-2460

Depending on what you need it you may take away the negative sign

Step 2: So your absolute error is equal to 2,460

Step 3: divide error by true value

= 2460/1,370,000

Ans = 0.0018

Step 4: multiply this value by 100% to obtain the percent error

0.0018 X 100% = 0.18%

8 0

3 years ago

23% of what number is 36? please help

Iteru [2.4K]

The answer is “x=(0.23)(36)”

6 0

3 years ago

I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$