Start by moving all terms to left side of equation 4x^2 - 19x - 30 = 0
Multiply 4 x -30 = -120
Now find two factors of 120 that subtract to give 19... 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24 ✅
[if it had been +120 we would add the factors looking for 19 which in this case don’t exist]
To get -19 we will need 5 + -24
24 is a multiple of 4 so we can use 4 x -6 and 1 x 5
Giving a factored equation of (4x + 5)(x - 6) = 0 [you should check this by expanding to remove the brackets]
One of the brackets must = zero so the solutions are x = -5/4 or x = 6
Some people look at factors of 4 and -30 and then pair then up to find a sum of -19 but this can take longer to finish.
Complimentary means they add up to 90
x is the angle we're looking for
x + 89 = 90
Subtract 81
x = 90 - 89
x = 1
A is the correct answer.
The error from Jorge's arithmetic operation on the given algebraic expression is that he distributed it incorrectly.
<h3>What is an algebraic expression?</h3>
An algebraic expression is a mathematical equation that is made up of variables together with arithmetic operations.
From the given expression, we have:
4x - x + 2 + 6 = 6x + 16
Add similar elements together;
3x + 8 = 6x + 16
Using distributive property, subtract 8 from both sides:
3x + 8 - 8 = 6x + 16 - 8
3x = 6x + 8
Simplify
3x-6x = 8
-3x = 8
Divide both sides by -3
-3/-3x = -8/3
x = -8/3
So from Jorge's calculation, because he distributed incorrectly, we can conclude that could be his error.
Learn more about calculating algebraic expression here:
brainly.com/question/4344214
#SPJ1
Answer:
153.94
Step-by-step explanation:
Answer:
If charge per day =x
and charge per mile =y
6x + 550y = 337
3x + 350y = 185
multiple the second equation by 2
6x+700y=370
subtract the first equation from this equation
150y=33
y=0.22
Now we plug the y back in to one of the initial equations to get the value of x
3x+350(0.22)=185
x=36
Charge per day is $36 and charge per mile is $0.22
Read more on Brainly.com - brainly.com/question/9991974#readmore
Step-by-step explanation:
