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3 years ago

I need it urgent now

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

So the answer for number 3 is p because p is the only one right on top of 4

But I dont know the answer for number 4 but I think its 2 I might be way off but its my guess.

Hope number 3 helps

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What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?

Pachacha [2.7K]

1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

Then, the two critical points are x = 2 and x = - 6.

Answer: option B.

3 0

3 years ago

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When the members of a family discussed where their annual reunion should take place, they found that out of all the family mem

Doss [256]

Answer:

The total number of family members is 21.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of these sets.

I am going to say that:

-The set A represents those that would not go to a park.

-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

The value d represents those who would go to all three places.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those that would only not go to a park, $A \cap B$ are those who would not got to a park or to the beach, $A \cap C$ are those who would not go to a park or to the famili cottage. And $A \cap B \cap C$ are those that would not go to any of these places.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following values:

$a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

The total number of family members is the sum of all these values:

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

We start finding the values from the intersection of the three sets

5 would not go to a park or a beach or to the family cottage.

This means that $A \cap B \cap C = 5$

1 would go to all three places. This means that $d = 1$ .

8 would go to neither a park nor the family cottage

This means that:

$A \cap C + (A \cap B \cap C) = 8$

$A \cap C = 3$

8 would go to neither a beach nor the family cottage

$B \cap C + (A \cap B \cap C) = 8$

$B \cap C = 3$

7 would go to neither a park nor a beach

$A \cap B + (A \cap B \cap C) = 7$

$A \cap B = 2$

15 would not go to the family cottage

$C = 15$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$15 = c + 3 + 3 + 5$

$c = 4$

12 would not go to a beach

$B = 12$

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$12 = b + 3 + 2 + 5$

$b = 2$

11 would not go to a park

$A = 11$

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$11 = a + 2 + 3 + 5$

$a = 1$

Now, we can find the total number of family members.

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$T = 1 + 2 + 4 + 1 + 2 + 3 + 3 + 5$

$T = 21$

The total number of family members is 21.

5 0

3 years ago

I need help please and thank you

myrzilka [38]

Answer:

Step-by-step explanation:

Slope = y2- y1/ x2- x1

= 4 - (-2) / 3 -1

= 4+2/ 2

=6/2 = 3

4 0

3 years ago

F(x) = square root 32x <br> g(x) = square root 2x

otez555 [7]

Given:

The two functions are:

$f(x)=\sqrt{32x}$

$g(x)=\sqrt{2x}$

To find:

The $(f\cdot g)(x)$ . Assume $x\geq 0$ .

Solution:

We have,

$f(x)=\sqrt{32x}$

$g(x)=\sqrt{2x}$

Now,

$(f\cdot g)(x)=f(x)\cdot g(x)$

$(f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}$

$(f\cdot g)(x)=\sqrt{32x\times 2x}$

$(f\cdot g)(x)=\sqrt{64x^2}$

$(f\cdot g)(x)=8x$

Therefore, the correct option is A.

5 0

3 years ago

Choose all that apply. An individual’s financial irresponsibility may affect _____. them people they know people they don’t know

Anit [1.1K]

Answer:

an individual's financial irresponsibility may affect them

6 0

3 years ago

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