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Dmitry_Shevchenko [17]

3 years ago

9

What is the value of the expression below when x = 3? 10x2 – 7x + 10

1 answer:

QveST [7]3 years ago

5 0

Answer:

79

Step-by-step explanation:

To find the value of $10x^2 – 7x + 10$ , when x = 3, simply plug in the value of x in the expression and solve as follows:

$10(3)^2 – 7(3) + 10$

$10(9) – 21 + 10$

$90 – 21 + 10$

$79$

The value of $10x^2 – 7x + 10$ , when x = 3, is 79

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Use synthetic division to find the remainder. When 3x^ 2 - 2x - 4 is divided by x - 3.

OlgaM077 [116]

ANSWER

a.)17

EXPLANATION

The given function is

$3 {x}^{2} - 2x - 4$

We want to find the remainnder when this function is divided by x-3 using synthetic division.

We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.

The remainnder is 17.

The correct answer is A.

7 0

3 years ago

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

Judy ran the distance s. Monday 0.35, Wednesday 0.2 and Friday 0.25. write the total distance in miles as a fraction in simplest

Alexandra [31]

Answer:

4/5

Step-by-step explanation:

0.35 + 0.2 + 0.25 = 0.80

3 0

3 years ago

On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?

Oksanka [162]

Multiply 16*3 to get 48, the bike is 48 units so 16:1,16/1=16. So the answer would be 16. Hope I helped!

4 0

3 years ago

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The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the s

Murljashka [212]

Answer:

the answer is 52,734,375

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3 years ago

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