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4vir4ik [10]
3 years ago
14

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0
Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

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Let f(x) = - 10x + 9 and g(x) = x2 + 12 <br>Find f( - 4)/g( - 4)​
Reptile [31]

Answer:

\frac{49}{28}

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

\frac{f(-4)}{g(-4)} = \frac{49}{28} = \frac{7}{4}

7 0
3 years ago
Use the rational zero theorem to create a list of all possible rational zeroes of the function f(x) = 14x^7 - 4x^2 + 2
Bas_tet [7]

f(x) = 14x^7 - 4x^2 + 2

Use the rational zero theorem

In rational zero theorem, the rational zeros of the form +-p/q

where p is the factors of constant

and q is the factors of leading coefficient

f(x) = 14x^7 - 4x^2 + 2

In our f(x), constant is 2 and leading coefficient is 14

Factors of 2  are 1, 2

Factors of 14  are 1,2, 7, 14

Rational zeros of the form +-p/q  are

+-\frac{1,2}{1,2,7,14}

Now we separate the factors

+-\frac{1}{1}, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-\frac{2}{1}, +-\frac{2}{2}, +-\frac{2}{7}, +-\frac{2}{14}

+-1, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-2, +-1 , +-\frac{2}{7}, +-\frac{1}{2}

We ignore the zeros that are repeating

+-1, +-2, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14}, +-\frac{2}{7}

Option A is correct


6 0
3 years ago
Read 2 more answers
Help i really need help plss
Andrei [34K]

Answer:

Modern:عشرين

Answer:

Ancient Egypt:

Two Upside down U’s

4 0
3 years ago
The graph of f(x) is shown.
Aleks04 [339]

Answer:

IDK if you still need this but it's A

Step-by-step explanation:

I just took the quiz and got it right :)

3 0
3 years ago
Read 2 more answers
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
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