just subsitute
f(4)=4²+3(4)-1
f(4)=16+12-1
f(4)=28-1
f(4)=27
it approaches 27 as x approaches 4
Answer:
i thought you was a guy ?
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost per bracelet = 1.50
Cost per necklace = 2.25
Let :
number of necklace = n
Number of bracelet = b
Cost equation C ;
C = 1.5b + 2.25n
Number of necklace that could be sold for exactly $12
5 necklaces and 1 bracelet :
1.5 + 2.25(5) = 12.75
•2 necklaces and 5 bracelets:
1.5(5) + 2.25(2) = 12
• 3 necklaces and 3 bracelets
1.5(3) + 2.25(3) = 11.25
• 4 necklaces and 2 bracelets
1.5(2) + 2.25(4) = 12
• 3 necklaces and 5 bracelets
1.5(5) + 2.25(3) = 14.25
• 6 necklaces and no bracelets •
1.5(0) + 2.25(6) = 13.5
No necklaces and 8 bracelets
1.5(8) + 2.25(0) = 12
Amount charged per Tshirt = c
Setup fee = $40
Number of students in drama club = 21
Total cost of order = $187
Calculate C ;
Total order cost = set up fee + (cost per shirt * number of shirts)
Total order cost = 40 + 21c
187 = 40 + 21c
187 - 40 = 21c
147 = 21c
c = 147 / 21
C = 7
Hence cost per shirt = $7
Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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