Answer:
-17
Step-by-step explanation:
first find g(5) = -2(5)+5 = -5
then f(-5) = 4(-5)+3 = -17
Answer:
He can make a cake that serves 24 people.
Step-by-step explanation:
Gareth has 13 eggs, but only 2 are needed for 4 servings. 13 divided by 2 equals 6.5. We can't serve half of a person, so there will be a large cake equivalent to the size of 6 small cakes. Since 1 small cake serves 4 people, and Gareth's large cake is 6 times the size of a small cake, Gareth's cake can serve a total of 24 people. Now that is one big cake!
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Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!
Answer:
Step-by-step explanation:
The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
If a = 5, the expression for the sum of the first 12 terms is
S12 = 12/2[2 × 5 + (12 - 1)d]
S12 = 6[10 + 11d]
S12 = 60 + 66d
Also, the expression for the sum of the first 3 terms is
S3 = 3/2[2 × 5 + (3 - 1)d]
S3 = 1.5[10 + 2d]
S3 = 15 + 3d
The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,
60 + 66d = 10(15 + 3d)
60 + 66d = 150 + 30d
66d + 30d = 150 - 60
36d = 90
d = 90/36
d = 2.5
For S20,
S20 = 20/2[2 × 5 + (20 - 1)2.5]
S20 = 10[10 + 47.5)
S20 = 10 × 57.5 = 575
