Let the number be x, and remember that x is negative.
Then x^2 = 3x + 28. Rearranging terms, x^2 - 3x - 28 = 0
Factoring, (x+4)(x-7) = 0. Solving for x, x=-4 and x=7. Discard x=7.
The answer is x=-4.
Check: Is this true for x = -4?
"<span>The square of a negative number is 28 more than three times the negative number."
(-4)^2 = 28 + 3(-4) or 16 = 28 - 12 yes, this is true.</span>
Answer:
8 shirts, $60
Step-by-step explanation:
Company A: 20+5x=y
Company B: 7.50x=y
Since y represents the amount of money and x represents the number of shirts, you set them equal to each other and solve for x to find the number of shirts where they will have the same amount of money.
20+5x=7.50x
20=2.50x
x=8 shirts
Now that we know they will have the same amount of money at 8 shirts, you just plug in 8 for x on one of the starting equations. You can plug 8 in to both to double check that it gives the same value for both.
20+5(8)= 60
7.50(8)= 60
We have verified that with 8 shirts, they will both be making 60 dollars.
A) reflection over y-axis
b) dilation with scale factor 2 (non-rigid transformation)
c) reflection over x-axis
d) stretching across y-axis, non-rigid transformation
Answer:
The measure of angle N is 32°.
Step-by-step explanation:
Since all the angles of a triangle add up to 180, set all 3 angle measures to 180.
90 + 58 + m∠N = 180
Combine like terms
148 + m∠N = 180
Subtract 148 from both sides.
m∠N = 32
Answer:
0.09
Step-by-step explanation:
All the possible outcomes are listed below if the condition of at least 2 books from each subject has to be satisfied
Option 1 - 3 books from mathematics, 2 books from chemistry and 2 books from astrology
Option 2 - 2 books from mathematics, 3 books from chemistry and 2 books from astrology
Option 3 - 2 books from mathematics, 2 books from chemistry and 3 books from astrology
The probability for option 1 = 3/10 x 2/8 x 2/5
= 0.03
The probability for option 2 = 2/10 x 3/8 x 2/5
= 0.03
The probability for option 3 = 2/10 x 2/8 x 3/5
= 0.03
The final probability = Probability of option 1 + Probability of option 2 + Probability of option 3
= 0.09
Note: The order does not matter because it is given that he is packing for vacation, and HASTILY throws 7 books into his suitcase.