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3 years ago

Which of the following is equivalent to 14x2 + 35x when it is completely factored? 7x(2x + 5)

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

Answer:

7 x (2 x + 5)

Step-by-step explanation:

Ksenya-84 [330]3 years ago

7 0

Answer:

Factor the following:

14 x^2 + 35 x

Factor 7 x out of 14 x^2 + 35 x:

Answer: 7 x (2 x + 5)

Step-by-step explanation:

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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

Orlov [11]

Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

7 0

2 years ago

what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and mil

dangina [55]

Answer:

a) 37

b) 2

c) 17

d) 8

Step-by-step explanation:

90 Students went to the zoo. 3 had hamburger, milk and cake; 5 had milk and hamburger, 10 had cake and milk; 8 had cake and hamburger; 24 had hamburger; 38 had cake; 20 had milk. How many had a. nothing b. cake only c. milk only d. hamburger only

Solution:

Let h represent students that ate hamburger, m represent students that had milk and c represent students that had cake.

Given that:

n(h ∩ m ∩ c) = 3, n(m ∩ h) = 5, n(c ∩ m) = 10, n(c ∩ h) = 8, n(h) = 24, n(c) = 38, n(m) = 20

The number of students that had nothing = n(h ∪ m ∪ C)'

The number of students that had only milk = n(m ∩ h' ∩ C')

The number of students that had only cake = n(m' ∩ h' ∩ C)

The number of students that had only hamburger = n(m' ∩ h ∩ C')

a) n(m ∩ h' ∩ C') = n(m) - n(m ∩ h) - n(c ∩ m) - n(h ∩ m ∩ c) = 20 - 5 - 10 - 3 = 2

n(m' ∩ h ∩ C') = n(h) - n(m ∩ h) - n(c ∩ h) - n(h ∩ m ∩ c) = 24 - 5 - 8 - 3 = 8

n(m' ∩ h' ∩ C) = n(m) - n(m ∩ c) - n(c ∩ h) - n(h ∩ m ∩ c) = 38 - 10 - 8 - 3 = 17

n(m ∩ h' ∩ C') + n(m' ∩ h ∩ C') + n(m' ∩ h' ∩ C) + n(h ∪ m ∪ C)' + n(h ∩ m ∩ c) + n(m ∩ h) + n(c ∩ m) + n(c ∩ h) = 90

2 + 8 + 17 + 5 + 10 + 8 + 3 + n(h ∪ m ∪ C)' = 90

53 + n(h ∪ m ∪ C)' = 90

n(h ∪ m ∪ C)' = 37

b) n(m' ∩ h' ∩ C) = 17

c) n(m ∩ h' ∩ C') = 2

d) n(m' ∩ h ∩ C') = 8

4 0

2 years ago

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t

Komok [63]

Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

5 0

3 years ago

Read 2 more answers

What is the secant of angle L? A) 15/12 B) 13/5 C)12/13 D)12/5

Gennadij [26K]

Hey there! I'm happy to help!

The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.

5²+12²=c²

25+144=c²

c²=169

We square root both sides

c=13

Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.

Therefore, the secant is B) 13/5.

I hope that this helps! Have a wonderful day!

6 0

3 years ago

Which figures are polygons? MORE THAN ONE CORRECT ANSWER please explain

Dahasolnce [82]

Answer:

all of them that have more than 4 sides

5 0

3 years ago

Read 2 more answers