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elixir [45]
3 years ago
10

use the factor theorem to find all the zeros of f(x)=2x^3+7x^2-77x-40 given that (x-5) is a factor of the polynomial

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0
Because the factor would divide it into two
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A container can hold 25 pounds of beans. Right now there are 12.5 pound of beans. What is the percentage of beans in the contain
aivan3 [116]
50% because 12.5lbs is half of 25lbs
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3 years ago
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nick drove at a rate of 60 mph for 2 2/3 hours. then he drove another 1 1/2 hours at a speed of 45 mph. how far did he travel?
arsen [322]
He traveled 227.5 miles. 
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3 years ago
Write the equation if the line that passes through (4,5) and has a slope of m=3
andrew11 [14]

Answer:

y = 3x - 7

Step-by-step explanation:

The <em>point-slope formula</em> for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

6 0
3 years ago
Laura invests $2500 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $11
Crank

Answer:

$2500 - 2%

$1500 - 4%

Step-by-step explanation:

Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.

As an equation, they would look like this:

2500x+1500(x+0.02)=110

Now solve

2500+1500x+30=110

4000x=80

x=0.02

That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.

6 0
4 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
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