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Anettt [7]
3 years ago
10

What is the factored form of y=x^3+3x^2-x-3 and what the zeros

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
   y = x³ + 3x² - x - 3
   0 = x³ + 3x² - x - 3
   0 = x²(x) + x²(3) - 1(x) - 1(3)
   0 = x²(x + 3) - 1(x + 3)
   0 = (x² - 1)(x + 3)
   0 = (x² + x - x - 1)(x + 3)
   0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
   0 = (x(x + 1) - 1(x + 1))(x + 3)
   0 = (x - 1)(x + 1)(x + 3)
   0 = x - 1    or    0 = x + 1    or    0 = x + 3
+ 1      + 1         - 1        - 1         - 3        - 3
   1 = x      or      -1 = x       or      -3 = x

Solution Set: {-3, -1, 1}
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A.45<br> B.30<br> C.90<br> D.180<br> E.40<br> F.55<br> G.130<br> H.50
brilliants [131]

Answer:

m<4=40

Step-by-step explanation:

Supplementary angles form 180 degrees

m<3 is vertical to the 50 degree angle which is equal.

so. m<3=50

m<5=90

90+50=140

180-140=40

m<4=40

4 0
3 years ago
A cube has a surface area of 150 square inches (in)
Marta_Voda [28]

Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

3 0
3 years ago
Pls say the answer to me​
lozanna [386]

Answer:

Sohan has read more pages and Sonali was more faster

7 0
2 years ago
Please help me. I desperately need to pass Math T-T​
Ad libitum [116K]

Answer:

60 degrees

Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

The length of the arc of the sector is 12.56 cm.

We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

1/6 * 360 degrees = 60 degrees

4 0
3 years ago
40% of Oatypop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability
aleksley [76]

Answer:

(0.6)^{n}+n(0.4)(0.6)^{n-1}+\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}

Step-by-step explanation:

We will use the binomial distribution. Let X be the random variable representing the no. of boxes Hannah buys before betting a prize.

Our success is winning the prize, p =40/100 = 0.4

Then failure q = 1-0.4  = 0.6

Hannah keeps buying cereal boxes until she gets a prize. Then n be no. times she buys the boxes.

P(X ≤ 3) = P(X=0) +P(X=1)+P(X=2)+P(X=3)

             = \binom{n}{0}p^{0}q^{n-0} +  \binom{n}{1}p^{1}q^{n-1}+ \binom{n}{2}p^{2}q^{n-2}+ \binom{n}{3}p^{3}q^{n-3}


             =  q^{n}+npq^{n-1}+\frac{n(n-1)(p)^{2}q^{n-2}}{2}+\frac{n(n-1)(n-2)p^{3}q^{n-3}}{6}

             = (0.6)^{n}+n(0.4)(0.6)^{n-1}+[tex]\frac{n(n-1)(0.4)^{2}0.6^{n-2}}{2} +\frac{n(n-1)(n-2)0.4^{3}0.6^{n-3}}{6}


7 0
3 years ago
Read 2 more answers
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