Answer:
we can translate the given statement into-8 ≥ -5x + 2 > -38.
In this case, we can dissect the inequality into two parts:
-8 ≥ -5x + 2 and -5x + 2 > -38
Step-by-step explanation:
-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)
-5x + 2 > -38 5x < 40x < 8 (open dot)
The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
<u>To calculate the initial investment (PV), we need to use the following formula:</u>
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9
Answer:
An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.
The number of hours Lourdes will have to jog is 0.4 hours
From the given parameters:
Lourdes plans to jog for at least a distance of 1.5 miles
If Lourdes can jog averagely at the speed of 3.75 mph
Then,
the inequality that can represent the information can be written as:
= 1.5 miles ≤ 3.75 (x) miles/hour
Solving the inequality;
= 1.5 ≤ 3.75 (x)
Making (x) the subject of the formula, we have:
x = 0.4 hours
Therefore, we can conclude that the number of hours lourdes will have to jog is 0.4 hours
Step-by-step explanation:
Answer:
F(4)=24 and F(3)=18
Step-by-step explanation:
Plug the 4 and the 3 in to the x's and multiply them by 6
