The Domain of f(x) is real number and the range is y ∈ [-∞, 4].
<h3>What is Modulus function?</h3>
A modulus function is a function which gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed as an absolute value function.
Here, f(x) = - |x| + 4
Domain of f(x) = Real Number
Range of f(x) ; f(x) ≤ 4
y ∈ [-∞, 4]
Key features:
1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but reflected in the x-axis.
2. The +4 moves the function vertically 4 units upwards.
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Answer:
j=-7
Step-by-step explanation:
-5j-7=-4j
-5j+4j=7
-j=7
j=-7
Answer:
3/4 and 6/8 = 3/4 and 3/4
Step-by-step explanation:
1/4 and 1/8
2/4 and 3/8
3/4 and 6/8
3/4 and 7/8
Which pair of fractions are equivalent?
1/4 and 1/8
Not equivalent
2/4 and 3/8
Not equivalent
3/4 and 6/8
Divide both numerator and denominator of 6/8 by 2
3/4 and 3/4
Equivalent
3/4 and 7/8
Not equivalent
Answer:
56 regular 37 tropical Maximum profit $204.75
Step-by-step explanation:
Constraints are:
r ≥ 0
t ≥ 0
2r+ 3t ≤ 125
2r + 1t ≤ 150
I will multiply the second by -3 to cancel t variable and see what is the maximum amount for the regular
2r + 3t ≤ 225
-6r - 3t ≤ -450
ADD BOTH
-4r ≤ -225
r≤ 56.5
Since we need to pick whole bottles ,not a fraction of a bottle we need ro round down.It should be less than 65.5.So we need 56 bottles of regular
2*56 +3t ≤ 225
112+3t ≤ 225
3t ≤ 113
t≤ 37.6666
37 bottles of tropical
2*56 + 3*37 = 112+111 =223 223<225
2*56 +37 = 112 +37 =149 149<150
$2.5*56 = $140
$1.75*37 = $64.65
Total profit $204.75
For this case, the first thing you have to keep in mind is that we are in the presence of a piece function.
We have then:
For [0, 5]:
A car traveling at 46 mi / h slows to a speed of 23 mi / h in 5 seconds.
For [5, 10]:
It maintains that speed for 5 seconds.
For [10, 15]:
then slows to a stop after 5 more seconds.
In this case:
x axis: represents time
y axis: represents the speed.
Answer:
See attached image for the graphic v (t) vs t.