There's no solution, as the shaded areas don't overlap
Answer:
g(7) = -34/13
Step-by-step explanation:
In order to find g(7), we first need to find the g(x) function. To do so, use the two ordered pairs given, (-3, 2) and (10, -4). First we find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -4)/(-3 - 10)
m = 6/-13
Now that we have the slope, we can use that and either ordered pair in point-slope form to get the equation of the function.
y - y1 = m(x - x1)
y - 2 = 6/13(x + 3)
y - 2 = -6/13x - 18/13
y = -6/13x + 8/13
g(x) = 6/13x + 8/13
Now that we have this, we can plug in 7 for x and find g(7).
g(x) = -6/13x + 8/13
g(7) = -6/13(7) + 8/13
g(7) = -42/13 + 8/13
g(7) = -34/13
How does one get 24 from 16? Answer: Multiply 16 by (3/2). If we want 4/16 = m/24 to be a proportion, then multiply m by (3/2) also:
4 (3/2)m
------ * ----------------
16 24
To answer this question fully, we must solve for m:
Multiply
4 24
---- by --------- , which produces 96/24 = 4/1, or just 4. m = 4.
16 (3/2)
The answer is 5 large, 25 medium, 70 small dogs.
x - the number of large dogs
y - the number of medium dogs
z - the number of small dogs
<span>There are 100 dogs at Pampered Paws Kennel:
</span>x + y + z = 100
<span>Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb:
3x + 2y + 0.5z = 100
</span><span>There are five times as many medium dogs as large ones:
x = 5y
</span>x + y + z = 100
3x + 2y + 0.5z = 100
y = 5x
____
Substitute y in the first two equations:
x + 5y + z = 100
3x + 2*5x + 0.5z = 100
___
6x + z = 100
13x + 0.5z = 100
____
z = 100 - 6x
13x + 0.5z = 100
____
13x + 0.5(100 - 6x) = 100
13x + 50 - 3x = 100
13x - 3x = 100 - 50
10x = 50
x = 50/10 = 5
y = 5x = 5 * 5 = 25
x + y + z = 100
5 + 25 + z = 100
30 + z = 100
z = 100 - 30
z = 70
Answer: 
Step-by-step explanation:
When answering a problem like this, you first isolate the absolute value. TO do this, first subtract 8 from both sides, to get –2|4–5y|=-4. Then divide both sides of the equation to get |4–5y|=2. The next thing you do is split the equation into 4-5y=2 and 4-5y=-2, because the contents of the absolute value could be negative or positive, and simplifying both into y = 2/5, and y = 6/5y.
Hope it helps <3
