Answer:
3,114 in 240 days
Step-by-step explanation:
3000 x 0.038=114
114+3000=3114
<span>y=−1/3x+1
</span>x = -6, y = −1/3(-6) +1 = 3<span>
x = -3, y = </span>−1/3(-3) +1 = 2<span>
x = 0, y = 1
</span>x = 3, y = −1/3(3) +1 = 0
x = 6, y = −1/3(6) +1 = -1
<span>
Table
x y
-6 3
-3 2
0 1
3 0
6 -1
</span>
Answer:
A
Step-by-step explanation:
The domain of a function is the span of x-values covered by the graph.
From the graph, we can see that it stretches from x=-7 to x=2.
However, note that at x=-7, the dot is closed (shaded in). In other words, x=-7 <em>is</em> in our domain.
On the other hand, at x=2, the dot is not shaded. So, x=2 is <em>not</em> included in our domain.
Therefore, our domain all are numbers between -7 and 2 including -7 (and not including 2).
As a compound inequality, this is:
So, our answer is A.
Also note that we use x instead of p(x) because the domain relates to the x-variable. If we were to instead find the range, then we would use p(x).
Answer:
Option D is not a rational number
Step-by-step explanation:
A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.
For example, ¾ is a rational number while √3 is an irrational number.
Now to the question;
A) The product of 2 and 0.3333 gives;
2 × 0.3333 = 0.6666.
This can be expressed as a fraction as; 6666/10000.
Thus it is a rational number
B) The sum of 2 + √3 and 5 - √3 gives;
2 + √3 + 5 - √3 = 7
As a fraction, it can be written as; 7/1
Thus it is a rational number.
C) The sum of 37 and 12 is;
37 + 12 = 49
Can be expressed as; 49/1
Thus,it's a rational number.
D) Product of 2 and √2 gives;
2 × √2 = 2√2
It can't be expressed as a fraction with integers. Thus, it's not a rational number.
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = = = 336
y = ← equation of variation
When x = 14 and z = 8, then
y = = 192