Answer:
15
Step-by-step explanation:
|-7|=7
|8|=8
7+8=15
Answer:
The value of x is 1 and y = -2
Step-by-step explanation:
y = 2x²- 3x - 1;
y = x - 3
2x²- 3x - 1 = x - 3
2x² - 3x - 1 - x + 3 = 0
2x² - 4x + 2 = 0
take 2 as common
2(x² - 2x + 1) = 0
x² - 2x + 1 = 0
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1) (x - 1) = 0
x - 1 = 0 or x - 1 = 0
x = 1 or x = 1
Now,
y = x - 3
y = 1 - 3
y = - 2
Thus, The value of x is 1 and y is -2
<u>-TheUnknown</u><u>Scientist</u>
A. True. We see this by taking the highest order term in each factor:
B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.
C. False. f(x) = 0 only for x=0, x = 5, and x = -2.
D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.
E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).
F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.
Answer: 8/145
Step-by-step explanation: Rewriting the table
Positive and Negative stand for the result of the test
Yes and No stand for having the disease
Positive | Negative | Total
<u>Yes </u><u> | 137 | 8 | 145</u>
<u>No </u><u> | 16 | 139 | 155</u>
<u>Total</u><u> | 153 | 147 | 300</u>
<u />
probability of getting someone who tests negative, given that he or she had the disease.
P(Negative | Yes) = <u>P(Negative ∩ Yes)</u> = <u> 8 </u>
P(Yes) 145
<u />
Hello there! I can help you! So there is one blue counter added to two green counters. To solve this problem, we can write and solve an equation. Set it up like this:
12 + 1x = 8 + 2x
We do this, because there are already some of each color in the bag. 1x makes one counter each and 2x is two counters for every blue counter in the bag. Let's solve it. Subtract 1x from each side. 1x - 1x cancels out. 2x - 1x is 1x or just simply x. That simplifies to 12 = 8 + x. Subtract 8 from each side to get the variable by itself. 8 - 8 cancels out. 12 - 8 is 4. That leaves 4 = x. Nothing else needs to be done. Let's plug the value in and see if it works. 1 * 4 is 4. 12 + 4 is 16. 2 * 4 is 8. 8 + 8 is 16. 16 = 16. There. x = 4. 4 blue counters and 8 green counters were added to the bag.
