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Tresset [83]
3 years ago
13

When a trinomial is factored as (x + p)(x + q), what is the sum of p and q? A.The constant term of the trinomial B.The coefficie

nt of the x-term of the trinomial C.The coefficient of the x2-term of the trinomial D.The degree of the trinomial
Mathematics
1 answer:
Papessa [141]3 years ago
5 0
It is B, the coefficient of the x-term.  When you multiply this out, you get x*x+x*q+x*p+p*q, or x^2+x(p+q)+p*q
Notice how the x term is multiplied by p+q.

Hope this helps!
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A rule for nth term of -2 , -5/4 ,-1/2,1/4
miv72 [106K]

Answer:

Step-by-step explanation:

This is an arithmetic sequence

a1 = -2

Difference = 2nd term - first term

=\frac{-5}{4}-[-2]\\\\=\frac{-5}{4}+2\\\\=\frac{-5}{4}+\frac{2*4}{1*4}\\\\=\frac{-5+8}{4}=\frac{3}{4}

a_{n}=a+(n-1)d\\\\=-2+(n-1)*(\frac{3}{4})\\\\=-2+\frac{3}{4}n-\frac{3}{4}\\\\=\frac{-2*4}{1*4}-\frac{3}{4}+\frac{3}{4}n\\\\=\frac{-8-3}{4}+\frac{3}{4}n\\\\=\frac{-11}{4}+\frac{3}{4}n

6 0
4 years ago
A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing t
never [62]

Answer:

Proportionality constant = \frac{1}{5}

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = \frac{d}{t}

From the data set one point is (15, 3).

k = \frac{3}{15}

k = \frac{1}{5} miles per second

Therefore, proportionality constant is \frac{1}{5} miles per second.

3 0
3 years ago
you plant 30 african violet seeds and 9 of them sprout use experimental probability to predict how many will sprout if you plant
Ostrovityanka [42]
Given that out of 30 planted seeds only 9 of the m sprouted, then:
Experimental probability =(number of occurrence of event)/(total number of trials made)
=9/30
=3/10
thus the number of seeds that will sprout given that 20 seeds we planted will be:
3/10×20
=6 seeds

8 0
4 years ago
In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0
3 years ago
alvaro pesa 13 kg menos que javier y 6 kg mas que maria si alvaro pesa 38 kg cuanto pesan javier y maria
Nataliya [291]

<span>Maria tiene 32 kg y javier tiene 51 kg
</span>
(google translate, bad spanish)
5 0
3 years ago
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