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kobusy [5.1K]
3 years ago
14

Solve 2x2 + 5x – 3 = x2 + 4x + 3 algebraically.

Mathematics
1 answer:
seraphim [82]3 years ago
5 0
TO ᖴIᑎᗪ ᙭ YOᑌ ᕼᗩᐯE TO ᖴᑌᑎᗪ OᑌT ᗯᕼᗩT TᕼE OTᕼEᖇᔕ ᗩᖇE ᗯITᕼOᑌT ᙭ ᗩᑎᗪ TᕼEᑎ ᔕEE ᗯᕼIᑕᕼ ᑎᑌᗰᗷEᖇ GOEᔕ Iᑎ ᖴOᖇ ᙭ ᗩᑎᗪ TᕼᗩT'ᔕ TᕼE ᗩᑎᔕᗯEᖇ

~(•ᑌ•)~
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Find a24 in the sequence, -8, 12, 32, 52, ...
JulsSmile [24]

You can see that two consecutive terms always differ by 20.

In other words, you generate the next term in the sequence by adding 20 to the previous one.

This implies the following structure:

\begin{array}{l}a_1=8\\a_2=a_1+20\\a_3=a_2+20=(a_1+20)+20 = a_1+2\cdot 20\\\ldots\\a_n = a_1+(n-1)\cdot 20\end{array}

In particular, this implies

a_{24} = a_1+23\cdot 20 = -8+460 = 452

4 0
2 years ago
Read 2 more answers
U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:
Alisiya [41]

Answer:

(a) P (U and V) = 0.

(b) P (U|V) = 0.

(c) P (U or V) = 0.83.

Step-by-step explanation:

Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

                                         P (A\cap B) = 0

<u>Given</u>:

Events U and V are mutually exclusive.

P (U) = 0.27 and P (V) = 0.56

(a)

As events U and V are mutually exclusive, the probability of their intersection will be 0.

That is,

P(U\ and\ V) = P (U\cap V) = 0

Thus, the value of P (U and V) is 0.

(b)

The conditional probability of event B given A is:

P(B|A) =\frac{P(A\cap B)}{P(B)}

Compute the value of P (U|V) as follows:

P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0

Thus, the value of P (U|V) is 0.

(c)

The probability of the union of two events, say A and B, is

P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)

Compute the value of P (U or V) as follows:

P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83

Thus, the value of P (U or V) is 0.83.

7 0
3 years ago
Read 2 more answers
A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impa
pychu [463]

Answer:

30

Step-by-step explanation:

Given :

Mean, m = 30 metric tons

Standard deviation (s) = 1.5 metric ton

Sample size, n = 4

Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.

Hence, the sample mean impact force will be equal to the population mean.

Therefore, sample mean = 30 ; population mean = 30

8 0
3 years ago
Read 2 more answers
Is 8/9 greater than 1
Zanzabum
No because 1 = 9/9 
8/9<9/9
5 0
3 years ago
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How would a one-fifth in numbers be?​
Crazy boy [7]
It’s in many different forms:20 or .20 or 20%
8 0
3 years ago
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