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kirill [66]
3 years ago
11

Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0
The answer is 32x+8
————
x+2
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3 years ago
Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0
3 years ago
What is 10 + 10 help please make it for the dog
Nimfa-mama [501]
The answer to 10+10 is 20. I hope I made it for the dog.
4 0
3 years ago
Read 2 more answers
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mp
mash [69]

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

8 0
3 years ago
-[98 + (-67) - (32) + (-12) - 5]<br> cual es el resultado?<br> ayuda
Vaselesa [24]

Answer: = 18

Espero que esto te ayude.

5 0
2 years ago
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