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Tanya [424]
3 years ago
9

Factor the following quadratic expression x^2 + 9x + 20

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

(x+5)(x+4)

Step-by-step explanation:

factors of 20: 1,20,2,10,4,5

Since 4 and 5 are the only factors of 20 that have a sum of 9 the answer is (x+5)(x+4)

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Use the law of cosines to find the balue of cos 0 . Round to answer to two decimal places
chubhunter [2.5K]

Answer:

C

Step-by-step explanation:

Using the law of cosines then cosΘ is the following quotient

cosΘ = \frac{a^2+b^2-c^2}{2ab}

where a = 5.8, b = 10.5 and c = 10.9

cosΘ = \frac{5.8^2+10.5^2-10.9^2}{2(5.8)(10.5)}

        = \frac{33.64+110.25-118.81}{121.8}

        = \frac{25.08}{121.8} = 0.21 → C

6 0
3 years ago
A line passes through the point (0,2) and has a slope of -1/2 what is the equation of the line
emmasim [6.3K]

Answer:

y = -1/2x + 2

Step-by-step explanation:

A line in slope-intercept form in y = mx + b

"m" is the slope

"b" is the y-intercept

x and y represent points on the graph

To write an equation, you need "m" and "b".

We already know m = -1/2

The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.

Points are in the form (x , y), so x = 0 and y = 2.

Therefore b = 2.

Substitute m = -1/2 and b = 2 into the equation:

y = mx + b

y = -1/2x + 2

5 0
3 years ago
A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.Fo
olya-2409 [2.1K]

The ticket price that would maximize the total revenue would be $ 23.

Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

  • 20,000 x 30 + 20,000 x 8 = 760,000
  • 24,000 x 25 + 24,000 x 8 = 792,000
  • 28,000 x 20 + 28,000 x 8 = 784,000
  • 26,000 x 22.5 + 26,000 x 8 = 793,000
  • 27,200 x 21 + 27,200 x 8 = 788,000
  • 26,400 x 22 + 26,400 x 8 = 792,000
  • 25,600 x 23 + 25,600 x 8 = 793,600
  • 24,800 x 24 + 24,600 x 8 = 792,000

Therefore, the ticket price that would maximize the total revenue would be $ 23.

Learn more in brainly.com/question/7271015

4 0
3 years ago
Quadrilateral ABCD is inscribed in circle 0 What is m<A
valentinak56 [21]
We know that
 A quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary. ( Inscribed Quadrilateral Theorem)
so
m∠B+m∠D=180°
2x+(3x-5)=180
5x=180+5
5x=185
x=185/5
x=37°

m∠A=x+5-----> 37+5------> 42°

the answer is
m∠A is 42°

6 0
3 years ago
Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the
Andrei [34K]

Answer:

9 months.

Step-by-step explanation:

use a calculator

4 0
3 years ago
Read 2 more answers
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