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Nitella [24]
3 years ago
14

An arithmetic series has seven terms. the first term is 5 and the last term is 53. find the sum of the series!

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0
The easiest way is to use (& to memorize) the sum formula for a AP:


Sum = 1st term added to the last term & multiplied by half the number of terms
S = (a+l)n/2

S = (5 + 53)(7/2) = 203 
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Log base 4 (x+3)=-3<br> thank you!
Minchanka [31]

x= -15/4 => x= -3 3/4 or x= -3.75

5 0
3 years ago
Solve for AB<br><br><br> a: 3.6<br> b: 15<br> c: 4<br> d: 10
IrinaK [193]
A because 9 divided by 15 equals 0.6. Then I multiply 0.6 times 6 which equals 3.6. I didn’t 9 divided by 15 because they are congruent.
4 0
3 years ago
If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?
xz_007 [3.2K]
<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0
3 years ago
Pleaseee help <br><br> 6(3 - 7x) = -192
scZoUnD [109]

Answer:

x = 5

Step-by-step explanation:

6(3 - 7x) = -192

Divide each side by 6

6/6(3 - 7x) = -192/6

3 - 7x = -32

Subtract 3 from each side

3-7x-3 = -32-3

-7x = -35

Divide each side by -7

-7x/-7 = -35/-7

x = 5

3 0
3 years ago
Read 2 more answers
Is this true or false?<br><br> w(5)=w(-5)
attashe74 [19]

Answer:

<h2><u><em>False</em></u></h2>

Step-by-step explanation:

Is this true or false:

w(5)=w(-5)

we give the value 1 to w to keep it simple

1 ( 5 ) = 1 (-5 )

5 = -5

<em>It's false</em>

8 0
3 years ago
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