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3 years ago

Solve the equation by factoring: x^2 - 5x = 14

Mathematics

1 answer:

daser333 [38]3 years ago

7 0

Answer:

x=7, x= -2

Step-by-step explanation:

Start by putting the whole equation to one side: x2-5x=14 ----> x2-5x-14=0
Next, factor the equation: x,x -7,2 ----> (x-7)(x+2)=0
Now, solve both equations: x-7=0....x=7 AND x+2=0.....x= -2
Plug both in to make sure that they are correct....both are correct

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One crew can seal a parking lot in 8 hours and another in 10 hours. How long will it take to seal the parking lot if the two cre

Mariana [72]

I want to say 6 but i am only 70% shure

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3 years ago

Kyle was playing a new video game.He scored 128 points on his first game.He scored 305 points on his second game,and 490 on his

Ivahew [28]

First game= 128
Second game= 305
Third game= 490

Add the points per game together.

= 128 + 305 + 490
= 923 points

ANSWER: He scored 923 points during the three games.

Hope this helps! :)

5 0

3 years ago

Find the diameter of the object. diameter: __ cm

Mashcka [7]

Answer: 1 1/5

Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.

4 0

3 years ago

Suppose there is a 13.9 % probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is

Blababa [14]

Answer:

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so $P(A) = 0.13$ .

In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. $P(B/A)$ is the probability that the person is a male, given that he/she jogs. So $P(B/A) = 0.156$

The Bayes theorem states that:

$P(B/A) = \frac{P(A \cap B)}{P(A)}$

In which $P(A \cap B)$ is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

$P(A \cap B) = P(A).P(B/A) = 0.156*0.139 = 0.217$

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.

4 0

4 years ago

the larger of two number is nine more than four times the smaller number. the sum of the two numbers is fifty-nine. find the two

VLD [36.1K]

This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y.
We are told that X + Y = 59
We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59 [then combine like terms]
9+5Y=59 [subtract 9 from both sides]
5Y=50 [divide both sides by 5 to isolate the Y]
Y=10 [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
49=X and 10=Y

4 0

3 years ago