Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
Total ratio = 2 + 1 = 3
Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
Answer:
A) Canned and Packet
Grain, Meat and Vegetables
B) Let C = canned goods, let P = packet goods
20C + 7P
Let G = grain, let M = meat, let V = vegetables
7G + 3M + 17V
C) The number of grain and packet goods are the same in each expression, as this food group has been packaged in the same way.
The other variables in both expression are different. The meat and vegetable food groups have been separated in the second expression, whereas they are part of the same group in the first expression.