If the first term was n=0, it would be -27+xn (with x being a number). Seeing how it goes down by 9 every time, we would have -27-9n. However, there is no option for this, so it would be wrong and we move on to the first number being x=-1. Since it goes down by 9 every time you go up, if you go down to x=0 you add 9 to go to -18. The pattern is still there, so it's -18-9n
X² + 4x = 96
Subtract 96 from both sides to get the equation equal to zero:
x² + 4x - 96 = 0
We can solve for x either by factoring or by using the Quadratic Formula. Let's attempt to factor first. To factor, find two numbers whose sum is 4 and whose product is -96. Since 96 is negative, the pair will be one positive and one negative (a positive times a negative is always negative). Let's start listing addends of 4 and calculating their product.
12 + (-8) = 4; 12 × (-8) = -96
The pair is 12 and -8. The factored polynomial is (x + 12)(x - 8). To find x, find the zeros.
x + 12 = 0
x = -12
x - 8 = 0
x = 8
Answer:
x = -12 and x = 8
Answer:
The Last One
Step-by-step explanation:
1/5 x 5 x 5 x 5 x 5 x 5
Because:
5 x 5 = 25
25 x 5 = 125
125 x 5 = 625
625 x 5 = 3125
3125 x 5 = 15625
And (5^3)^-2 is equal to 1/15625
Hope This Helps! :)
Answer:
0.7283 written
in scientific is: 7.283×10^-1
Step-by-step explanation:
1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
For given question,
Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,
Thus,
Quantity of glycerin in 12 liters + Quantity of glycerin in x
= Quantity of glycerin in resultant mixture.
⇒ 8% of 12 + 100% of x = 16% of (12 + x )
⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )
⇒ 0.96 + x = 0.16 × 12 + 0.16x
⇒ 0.96 + x = 1.92 + 0.16x
⇒ x - 0.16x = 1.92 - 0.96
⇒ 0.84x = 0.96
⇒ x = 1.143 liters
Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
Learn more about the resulting solution here:
brainly.com/question/12051765
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