Hey!
Using the additive property of equality, we can subtract 5x from both sides to get 5x^2-9x=1. Next, we can subtract 1 from both sides to get 5x^2-9x-1=0. Thus, we have a polynomial equation of the form ax^2+bx+c. To simplify this, we would need to factor it out. In the case where a>1, which this one is, we must factor the polynomial so we end up with (5x+ _)(x+_). Thus, if we put the first blank as the value a and the second value as the value b, we get (5x+a)*(x+b)=5x^2+ax+5xb+ab. Thus, a*b=-1 (since there isn’t an x attached to it) and ax+5xb=-9x. Using a*b=-1, we can divide b from both sides using the multiplicative property of equality to get a=-1/b. Substituting that into ax+5xb=-9x, we have ax+5(-1/a)x=-9x. Dividing x from both sides, we get a+-5/a=-9. Multiplying both sides by a get rid of the -5/a, we get a^2-5=-9a. Adding 9a to both sides, we end up with a^2+9a-5=0. This is simpler than our original equation, and we can quickly figure out that because (0)^2+9*0-5=-5 and (1)^2+9*1-5=5, a must be between 0 and 1 and it would therefore be relatively complex to factor out. Therefore, our equation stays as is, and our simplified equation is 5x^2-9x-1=0
Feel free to ask further questions, and have a great day!
Answer: 13
Step-by-step explanation:
first divide and then it comes out 13 then check your math so then it puts 120 its correct
Answer:
7
Step-by-step explanation:
4y²-106=90
4y²=90+106
4y²=196
4y²/4=196/4
y²=49
y=√49
y=7
Given that t<span>he
mean lifespan of a sylvania light bulb is 1600 hours with a standard
deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours.
the lifespan distribution is relatively symmetric.
Since, the distribution is relatively symmetric, the measure of
spread that is the best measurement is the standard deviation.</span>
Answer:
(6 - √ 100 - 6 * 6) 3 - 9 ÷ 3 = -64003/1 = -64003
Step-by-step explanation:
1.Square root: sqrt(100) = √ 100 = 10
2.Subtract: 6 - the result of step No. 1 = 6 - 10 = -4
3.Multiple: 6 * 6 = 36
4.Subtract: the result of step No. 2 - the result of step No. 3 = -4 - 36 = -40
5.Exponentiation: the result of step No. 4 ^ 3 = (-40) ^ 3 = -64000
6.Divide: 9 / 3 = 3
7.Subtract: the result of step No. 5 - the result of step No. 6 = -64000 - 3 = -64003
