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faltersainse [42]
3 years ago
5

Given y=x2 + 9x + 20 find the zeroes.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

x=-5   x=-4

Step-by-step explanation:

y=x^2 + 9x + 20

We need to factor the equation

What 2 numbers multiply to 20 and add to 9

4*5 = 20

4+5 =9

y=(x+5) (x+4)

To find the zero's we set the equation equal to zero

0= (x+5) (x+4)

Using the zero product property

x+5 = 0   x+4=0

x=-5   x=-4

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In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. Of the students who have a dog as a pet also have cat as a pet.
Travka [436]

Answer:

This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:

"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"

Where X must be a positive number smaller than one, now we can solve it:

we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:

N = 45*(4/5) = 36

And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:

M = 36*X

now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")

M = 36*(1/2) = 18

So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.

5 0
3 years ago
Read 2 more answers
Put the equation 3x - y > 9 into slope-intercept form (y = mx + b) but keep the inequality. (Don't change the sign to equals
Anni [7]

Answer:

y greater . ...3x-9

Step-by-step explanation:

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7 0
3 years ago
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Hi can someone please help me with my math work im very behind
Ipatiy [6.2K]

The volume of soup in the cylindrical can is 100.48 inches cube.

<h3>How to find the volume of a cylindrical can?</h3>

We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.

The volume of the soup is the volume of the cylindrical can.

Therefore,

volume of the cylindrical can = πr²h

where

  • r = radius of the cylinder
  • h = height of the cylinder

Therefore,

h = 8 inches

r = 4 / 2 = 2 inches

volume of the soup in the cylindrical can = πr²h

volume of the soup in the cylindrical can = π × 2² × 8

volume of the soup in the cylindrical can = π × 4 × 8

volume of the soup in the cylindrical can = 32π

Therefore,

volume of the soup in the cylindrical can = 32 × 3.14

volume of the soup in the cylindrical can = 100.48 inches³

learn more on volume here:brainly.com/question/23207959

#SPJ1

5 0
1 year ago
Which statements verify that the solution set to |x + 3| &lt; 5 is –8 &lt; x &lt; 2? Check all that apply. Substituting a value
Vikentia [17]

Answer:

a & d

Step-by-step explanation:

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4 0
2 years ago
A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.
VLD [36.1K]

Answer: -0.57

Step-by-step explanation:

z-score: data - mean / standard deviation

25 - 27 / 3.5

= -0.57

8 0
2 years ago
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