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Damm [24]
3 years ago
7

Solve for y: 1.7-(3+2.4y) = 4(3y-2.91)

Mathematics
1 answer:
frez [133]3 years ago
6 0
1.7-3-2.4y= 12y-11.64

-1.3-2.4y = 12y - 11.64

-2.4y = 12y - 11.64

-14.4y = -10.34

y= 10.34/14.4= 5.17/7.20 or 517/720
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Can every even number be written as a sum of two primes?
astraxan [27]
The Goldbach Conjecture is a yet unproven conjecture stating that every even integer greater than two is thesum of two prime numbers. The conjecture has been tested up to 400,000,000,000,000. Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics.
5 0
3 years ago
Consider the following function. f(x) = 9 − x2/3 Find f(−27) and f(27). f(−27) = f(27) = Find all values c in (−27, 27) such tha
oksano4ka [1.4K]

I guess the function is f(x)=9-x^{2/3}. Then f(-27)=0 and f(27)=0.

The derivative is f'(x)=-\dfrac23 x^{-1/3}, but there is no c such that

-\dfrac23c^{-1/3}=0

This doesn't contradict Rolle's theorem because f'(0) does not exists. In other words, f is not differentiable on (-27, 27), so the conditions of Rolle's theorem are not met. (Looks like that would be the last option, or the second to last option if the last one is "Nothing can be concluded")

6 0
3 years ago
James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales
Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

 5%   →    108

100% →      x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

7 0
3 years ago
In a geometric sequence, the term a n+1 can be smaller than the term a n
Rainbow [258]

Do you mean a_(n+1), worded a sub (n+1)?

If so yes.  If the function of the sequence is getting smaller or more negative with each term.

6 0
3 years ago
LM=9, NR=16, SR=8. Find the perimeter of △SMP.
Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM,  NP = PR = <u>MS</u><u> = 8</u>

Also since LM = MN, MN = 9

From △SRP, SR = RP = <u>PS =  9</u>

Also SR =<u> MP = 8</u>

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

perimeter of △SMP = 25

5 0
3 years ago
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