The answer is 70 miles.
If we express distances as following:
T - total distance
a - distance from <span>San Antonio to Austin
b - </span>distance from <span>Austin to Waco
c - </span>distance from <span>Waco to Dallas
Then:
T = 280 mi
b = a - 30 mi </span>⇒ a = b + 30<span>
b = c + 20 mi </span>⇒ c = b - 20<span>
T = a + b + c
</span>⇒ a + b + c = 280
⇒ b + 30 + b + b - 20 = 280
⇒ 3b +10 = 280
⇒ 3b = 280 - 10
⇒ 3b = 270
⇒ b = 90 mi.
Distance from <span>Waco to Dallas is c.
</span><span>c = b - 20
</span>⇒ c = 90 - 20
⇒ c = 70 mi
Therefore, distance from <span>Waco to Dallas is 70 miles.</span>
If the equation is 
(2 times 3^x)
Then the answer is d. (0,2)
This is because plugging x = 0 leads to y = 2 as shown below
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
Answer:
D.
Step-by-step explanation:
Answer:
A is a function; B, C and D are not.
Step-by-step explanation:
In other words: Identify the sole function among these relationships.
A function maps any input onto exactly one output.
If a relationship maps any input onto more than one output, it is not a function.
Thus, we eliminate B, C and D. In B, for example, we have the inputs {1, 2, 3}, where the '1' has two y-values associated with it.
On the other hand, A has the domain {-1, 0, 1, 2}, and all four inputs have exactly one associated output.
