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sergeinik [125]
4 years ago
5

17.

Mathematics
1 answer:
kifflom [539]4 years ago
3 0

g \geqslant 5
A
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Given the absolute value function (x) = 1xl, what's the equation that results from
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Answer:

h(x)=abs(x-8)+6     ( |x-8| + 6)

Step-by-step explanation:

|x| ==> |x-8|   shift right 8 units

|x-8| + 6   shift up 6 units

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A teacher asks five students to plot two points that are exactly 15 units apart on the coordinate plane. The table shows the stu
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7 0
4 years ago
The third term of an arithmetical progression is 7, and the seventh term is 2 more than 3 times the third term.Find the first te
Sphinxa [80]
General formula for n-th term of arithmetical progression is

a(n)=a(1)+d(n-1).

For 3d term we have

a(3)=a(1) +d(3-1),  where a(3)=7
7=a(1)+2d

For 7th term we have
a(7)=a(1) +d(7-1)
a(7)=a(1) + 6d

Also, we have that the <span>seventh term is 2 more than 3 times the third term,
a(7)=3*a(3)+2= 3*7+2=21+2=23

So we have, </span>a(7)=a(1) + 6d and a(7)=23. We can write
23=a(1) + 6d.

Now we can write a system of equations
23=a(1) + 6d
<span> - (7=a(1)+2d)
</span>
16 = 4d
d=4,

7=a(1)+2d

7=a(1)+2*4
a(1)=7-8=-1
a(1)= - 1

First term a(1)=-1, common difference d=4.

Sum of  the 20 first terms is
S=20 * (a(1)+a(20))/2

a(1)=-1
a(n)=a(1)+d(n-1)
a(20) = -1+4(20-1)=-1+4*19=75

S=20 * (-1+75)/2=74*10=740

Sum of 20 first terms is 740.
3 0
3 years ago
The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)x and f(5) = 972. What does the 3 re
Liula [17]
The 3 represents how many times the species multiplies.
3 0
4 years ago
Read 2 more answers
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