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Nitella [24]
2 years ago
8

Which graph represents the polynomial function g(x) = x3 + x2 – 17x + 15?

Mathematics
1 answer:
denis-greek [22]2 years ago
4 0

Answer:

(x+3)⋅(x+1)⋅(x−5)

Step-by-step explanation:

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Whitepunk [10]

Answer:

Answer: 12

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve the following inequality
Burka [1]
First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3

2x - 1 <span>< -5
now add 1 to both sides

2x </span><span>< -4

finally, divide both sides by 2

x </span><span>< -2

i hope this helps !!</span>
7 0
3 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
2 years ago
Is the set of numbers one 1,5,25 and 125 a geometric sequence
Strike441 [17]
Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.

Find the general equation.
tn = a*5^(n - 1)

Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.

t5 = 1^5^4
t5 = 625     Any member of the sequence can be found this way.
6 0
3 years ago
-4r &lt; 22<br><br> Can someone help with this inequality?
svp [43]
Lol u thought I was writing an answer hahahaha
8 0
3 years ago
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