Answer:
use the slope intercept form Y=mx+b to find the slope of m
Step-by-step explanation:
the answer is m= -3
Answer:
D 1/4
Step-by-step explanation:
First we need to find the total number of marbles
12+8+16+17+11 = 64
To find the probability of getting a blue marble, take the blue marbles over the total marbles
P(blue) = 16/64
=1/4
Answer:
Step-by-step explanation:
<u>Given functions:</u>
- f(x) = x² - 6x + 8
- g(x) = x - 2
<u>Fill in the table by calculating each value of f(x) and g(x)</u>
- x >>> f(x) >>> g(x)
- 0 >>> 8 >>> - 2
- 1 >>> 3 >>> - 1
- 2 >>> 0 >>> 0 equal
- 3 >>> - 1 >>> 1
- 4 >>> 0 >>> 2
- 5 >>> 3 >>> 3 equal
- 6 >>> 8 >>> 4
Y/6 - 2.1 + 11.7
= 1/6y+ - 2.1 + 11.7
Combine like terms!
= 1/6y + -2.1 + 11.7
= (1/6y) + (-2.1 + 11.7)
= 1/6y + 9.6
So, y/6 - 2.1 + 11.7 = 1/6y + 9.6! (:
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Answer:
p = ±21
Step-by-step explanation:
Given z1 = p +2i and z2 = 1 – 2i, If |z1/z2| = 13;
|p+2i/1-21| = 13
To get p from the expression above, we need to rationalize the complex function first.
p+2i/1-21 = p+2i/1-2i * 1+2i/1+2i
= p+2pi+2i+4i²/1-4i²
Since i² = -1;
= p+2pi+2i-4/1+4
= p-4+2i(p+1)/5
= p-4/5 + 2(p+1)/5 i
Then we will take the modulus of the resulting expression and equate to the value of 13 to get p
|p+2i/1-21| = √(p-4/5)²+ (2p+2/5)² = 13
(p-4/5)²+ (2p+2/5)² = 13²
(p-4)²+(2p+2)² = 13²*5²
p²-8p+16+4p²+8p+4 = 4225
5p²+20 = 4225
5p² = 4205
p² = 841
p = ±√841
p = ±21
The possible values of p are 21 and -21