Answer:
3x - 8
Step-by-step explanation:
To find f(x + 1) substitute x = x + 1 into f(x)
f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4
Similarly
f(1) = 3(1) - 7 = 3 - 7 = - 4
Hence
f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8
Answer:
A = 43°
b = 25.8 (3 sig. fig.)
c = 14.5 (3 sig. fig.)
Step-by-step explanation:
Using angle sum of triangle, we get A = 180 - 104 - 33 = 43°
Using sin law,
b/sin104 = 18.1/sin43
b = 25.8 (3 sig. fig.)
c/sin33 = 18.1/sin43
c = 14.5 (3 sig. fig.)
Answer:
a) P=0.2503
b) P=0.2759
c) P=0.3874
d) P=0.2051
Step-by-step explanation:
We have this information:
25% of American households have only dogs (one or more dogs)
15% of American households have only cats (one or more cats)
10% of American households have dogs and cats (one or more of each)
50% of American households do not have any dogs or cats.
The sample is n=10
a) Probability that exactly 3 have only dogs (p=0.25)

b) Probability that exactly 2 has only cats (p=0.15)

c) Probability that exactly 1 has cats and dogs (p=0.1)

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

Answer:
-5/3
Step-by-step explanation:
Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.
We convert by using inverse operations to isolate y.
5x+3y=7
5x-5x+3y=7-5x
0x+3y=-5x+7
3y=-5x+7
.
The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.