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Andru [333]
3 years ago
6

What are potential roots of p(x) = x4 + 22x2 – 16x – 12

Mathematics
2 answers:
kow [346]3 years ago
8 0
Simplify <span>22\times 2<span>22×2</span></span> to <span>44<span>44</span></span>
<span><span>{x}^{4}+44-16x-12<span><span>x<span><span>​4</span><span>​​</span></span></span>+44−16x−12</span></span>Collect like terms
<span><span>{x}^{4}+(44-12)-16x<span><span>x<span><span>​4</span><span>​​</span></span></span>+(44−12)−16x</span></span> Simplify</span><span><span>{x}^{4}+32-16x<span><span>x<span><span>​4</span><span>​​</span></span></span>+32−16x</span></span><span>
</span></span></span>
rjkz [21]3 years ago
4 0

Answer:

±1, ±2, ±3, ±4, ±6 and ±12

Step-by-step explanation:

The potential roots are obtained as following:

potential roots = factors of the constant term / factors of leading coefficient

The constant term is -12, its factors are ±1, ±2, ±3, ±4, ±6 and ±12

The leading coefficient is 1, its factors are  ±1

Therefore the potential roots are ±1, ±2, ±3, ±4, ±6 and ±12

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3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

7 0
2 years ago
3x+2y=4<br> 8x-3y=-6 solving systems of equations by substitution
Over [174]

Answer:

x=0, y=2. (0, 2).

Step-by-step explanation:

3x+2y=4

8x-3y=-6

---------------

3(3x+2y)=3(4)

2(8x-3y)=2(-6)

-----------------------

9x+6y=12

16x-6y=-12

----------------

25x=0

x=0/25

x=0

3(0)+2y=4

0+2y=4

2y=4-0

2y=4

y=4/2

y=2

6 0
2 years ago
If f(x)=5x-7,what isf(3)?​
ArbitrLikvidat [17]

Answer:

Explanation:

f  (  − 3 )  basically means substitute  − 3  for  x  in the function  − 5 x

f

(

−

3

)

=

−

5

(

−

3

)

−

7

f

(

−

3

)

=

15

−

7

f

(

−

3

)

=8

Step-by-step explanation:

4 0
2 years ago
a paddle boat can move at a speed of 6km/h in still water. the boat is paddeled 16km downstream in a river in the same time it t
kaheart [24]
v-the\ speed\ of\ the\ river\\\\16:(6+v)=8:(6-v)\\\\\frac{16}{6+v}=\frac{8}{6-v}\\-------------\\multiply\ on\ the\ cross\\-------------\\8(6+v)=16(6-v)\\\\48+8v=96-16v\\\\8v+16v=96-48\\\\24v=48\ \ \ /:24\\\\v=2\ (km/h)\leftarrow Answer
5 0
3 years ago
5) On Saturday morning, the temperature was -19° F. By noon the temperature had risen 6
Alisiya [41]

Answer:

It increased by 12°F between the noon and evening

Step-by-step explanation:

6 0
3 years ago
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