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3 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

Answer:

B f (x) = (x + 2) cubed (x squared minus 7 x + 3) Superscript 4

Step-by-step explanation:

idk i guess i got it right so there

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ms. ling's cooking class made 3 gallons of blackberry jam and 14 cups of strawberry jam. how many cups of jam did the class make

PtichkaEL [24]

1 gallon=16 cups
3 times 16=48

plus 14 mroe
48+14=62 cups total

4 0

3 years ago

Which of the c-values satisfy the following inequality? 2>c/3

tino4ka555 [31]

Answer:

$\Large \boxed{{c$

Step-by-step explanation:

2>c/3

Multiply both sides of the inequality by 3.

2(3)>c/3(3)

6>c

Switch sides.

c<6

8 0

3 years ago

Read 2 more answers

Which sequence represents an arithmetic sequence?

Sergio039 [100]

we know that

arithematic sequence will always have common difference

(a)

−5, −7, −10, −14, −19, …

we can see that

$d_1=-7+5=-2$

$d_2=-10+7=-3$

they are not equal

so, this is not arithematic sequence

(2)

1.5, −1.5, 1.5, −1.5, …

we can see that

$d_1=-1.5-1.5=-3$

$d_2=1.5+1.5=3$

they are not equal

so, this is not arithematic sequence

(3)

4.1, 5.1, 6.2, 7.2, …

we can see that

$d_1=5.1-4.1=1$

$d_2=6.2+5.1=1.1$

they are not equal

so, this is not arithematic sequence

(4)

−1.5, −1, −0.5, 0, …

we can see that

$d_1=-1+1.5=0.5$

$d_2=-0.5+1=0.5$

they are equal

so, this is arithematic sequence

8 0

3 years ago

Factor this x^3 + 27

masya89 [10]

(x+3)(x^2-3x+9)

this gets the x^3 while the 3x cancels out and 3*9=27

hope this helps although i didn't explain very well :)

8 0

3 years ago

Rafeeq bought a field in the form of a quadrilateral (ABCD)whose sides taken in order are respectively equal to 192m, 576m,228m,

Valentin [98]

Answer:

a. 85974 m²

b. 17,194,800 AED

c. 18,450 AED

Step-by-step explanation:

The sides of the quadrilateral are given as follows;

AB = 192 m

BC = 576 m

CD = 228 m

DA = 480 m

Length of a diagonal AC = 672 m

a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal

The semi-perimeter, s₁, of ΔABC is found as follows;

s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720

The area, A₁, of ΔABC is given as follows;

$Area\, of \, \Delta ABC = \sqrt{s_1\cdot (s_1 - AB)\cdot (s_1-BC)\cdot (s_1 - AC)}$

$Area\, of \, \Delta ABC = \sqrt{720 \times (720 - 192)\times (720-576)\times (720 - 672)}$

$Area\, of \, \Delta ABC = \sqrt{720 \times 528 \times 144 \times 48}$ = 6912·√(55) m²

Similarly, area, A₂, of ΔACD is given as follows;

$Area\, of \, \Delta ACD= \sqrt{s_2\cdot (s_2 - AC)\cdot (s_2-CD)\cdot (s_2 - DA)}$

The semi-perimeter, s₂, of ΔABC is found as follows;

s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m

We therefore have;

$Area\, of \, \Delta ACD = \sqrt{690 \times (690 - 672)\times (690 -228)\times (690 - 480)}$

$Area\, of \, \Delta ACD = \sqrt{690 \times 18\times 462\times 210} = \sqrt{1204988400} = 1260\cdot \sqrt{759} \ m^2$

Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square

b. Whereby the cost of 1 meter square land = 200 AED, we have;

Total cost of the land = 200 × 85974 = 17,194,800 AED

c. Whereby the cost of fencing 1 m = 12.50 AED, we have;

Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m

The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED

4 0

3 years ago