Write the simplest polynomial function with the zeros..?

Find the national root of x^4+3x^3+3x2-3x-4=0

ozzi

Using a graphic tool.
<span>see attached graphic</span>
<span>
the solutions are
x1=-2
x2=0.811

</span>check

for x=-2

x^4+3x^3+3x2-3x-4

(-2) ^4+3(-2) ^3+3(-2) ^2-4=16+(-24)+12-4=0 ok

For x=0.811

(0.811) ^4+3(0.811) ^3+3(0.811) ^2-4=0.4326+(1.6002)+1.9731-4=0 ok

5 0

4 years ago

What is the answer to the question

larisa86 [58]

Answer:

25 animals

Step-by-step explanation:

3 0

4 years ago

Can someone finish this fast

dybincka [34]

Answer:

y + 9 = - 2(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (9, - 9) and (x₂, y₂ ) = (- 2, 13)

m = $\frac{13+9}{-2-9}$ = $\frac{22}{-11}$ = - 2

Using (a, b ) = (9, - 9 ) , then

y - (- 9) = - 2(x - 9) , that is

y + 9 = - 2(x - 9)

8 0

4 years ago

Both questions please

Nataly [62]

Let there be $h$ 50 cent coins (call them halfs), $d$ 10 cent coins (dimes) and $n$ 5 cent coins (nickles).

81 coins:

$h+d+n=81$

Three more dimes than halfs:

$d=h+3$

Nickels are twice halfs plus dimes:

$n=2(h+d)$

Three equations in three unknowns. We'll eliminate $n$ first:

$n=81-(h+d)=2(h+d)$

$81=3(h+d)$

$h+d=27$

Substituting $d=h+3$

$h+h+3=27$

$2h=24$

$h=12$

$d=h+3=15$

$n=2(h+d)=2(27)=54$

Check we have the right number of coins:

$h+d+n=12+15+54=81 \quad\checkmark$

Good. The amount of money is

$50h+10d+5n=0.50(12)+0.10(15)+0.05(54)=\$10.20$

Part 2.

a for amount Tim gave cousin. Initially Tim has $146.65, cousin $10.55

After he gave the money Tim had twice as much:

$146.65 - a = 2(10.55 + a)$

$146.65 - a = 21.10 + 2a$

$146.65 - 21.10 = 3a$

$a = \dfrac{146.65 - 21.10}{3}= 41.85$

That's the answer to b. After the transfer the cousin has $10.55+41.85=\$52.40$

4 0

3 years ago

Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?

oksano4ka [1.4K]

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

u = ⟨2, –3⟩

v = ⟨1, –1⟩

$\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}$

Next, find the lengths of the vectors:

$\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}$

u = ⟨2, –3⟩

$\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}$

$=\sqrt{13}$

u = ⟨2, –3⟩

$|v|=\sqrt{1^2+\left(-1\right)^2}$

$=\sqrt{2}$

Finally, the angle is given by:

$\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}$

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

6 0

3 years ago

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