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Aneli [31]
3 years ago
8

Solve for x. x2 − 9x + 20 = 0

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

Answer:

x=4 or x=5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−9x+20=0

Step 1: Factor left side of equation.

(x−4)(x−5)=0

Step 2: Set factors equal to 0.

x−4=0 or x−5=0

x=4 or x=5

umka2103 [35]3 years ago
3 0

x has two values 4 and 5 by factorization or using the general formula

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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
At Edna's boutique, 14 customers wore a size large, and 48 customers wore a different size.What is the probability that a random
son4ous [18]

Answer:

25% i belive

Step-by-step explanation:

8 0
3 years ago
Math pls help giving them brain things and 100 points
Aleonysh [2.5K]
1. 21/4 , you can use a calculator it’s way easier because your doing times
5 0
2 years ago
Read 2 more answers
3/11 ÷ 3/11<br>and <br>9/10 ÷ 3/5<br><br>PLZ HELP ME<br>​
mafiozo [28]

Answer:

3/11 divided by 3/11 is 1

9/10 divided by 3/5 is 1 1/2 (1.5)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need help with the incorrect ones please
Morgarella [4.7K]

Answer:

73.6

61.824

.2776

2.3

1.342

.4129

*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*

Step-by-step explanation:

1.)

the mean would be something like 460*.16= 73.6

The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863

for p to be less than .15 it would have to be less than .15*460= 69

(69-73.6)/7.863= -.59 which has a probability of .2776

2.)

the mean is 2.3

I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)

I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342

(2-2.3)/1.342= -.22 = .4129

5 0
2 years ago
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