Answer:
k is 2/3 and y is -1/3 when x is -0.5.
Step-by-step explanation:
The direct variation relationship is y = kx, where k is the const. of var.
Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.
Now, if x = -0.5, y = (2/3)(-1/2) = -1/3
k is 2/3 and y is -1/3 when x is -0.5.
Answer:
84 couples
Step-by-step explanation:
First add the number of couples that have only one spouse that prefers dramas.
23+39+37+27=126
126 couples out of 250 prefer dramas.
126/250=.56 or 56 percent
To find the answer by making a prediction based on this data, you would find 56% of 150.
150x.56=84 out of the additional 150 surveyed couples will have one spouse that prefers a drama.
Answer:
a. 5
Step-by-step explanation:
To find slope, subtract the y's.
5 - -5 is 10.
Put that on the top of a fraction.
Subtract the x's.
3 - 1 is 2, put that on the bottom of the fraction.
So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).
The slope is 5.
To find the 7th term, all you have to do is plug it in the equation.
First n would equal 7 because we are looking for the 7th term.
Now, let's plug everything we know into the equation.
a7 = 2+5 * (7-1)
= 2 + 5 * 6
= 2 + 30
= 32
In conclusion, the 7th term would equal 32.
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved
