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MrRissso [65]
3 years ago
6

The average value of y=v(x) equals 4 for 1≤x≤6, and equals 5 for 6≤x≤8. what is the average value of v(x) for 1≤x≤8 ?

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0
The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7

Average value = 30/7 = 4 2/7

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Lucy's savings account has 35% more money than her sister Edy's. Together, the girls have saved a total of $206.80. How much mon
Ber [7]
X=Lucy´s money
y=Edy´s money
we can suggest this system of equations:
x=y+(35/100)y    ⇒x=135y/100
x+y=206.8

solve by substitution method. 
(135y/100)+y=206.8
Least common multiple=100
135y+100y=20680
235y=20680
y=20680/235=88

then:
x=135y/100=135(88)/100=118.8

Answer:
Lucy´s money=$118.8
Edy´s money=$88

To check:
Together, the girls have   saved a total of $118.8+$88=$206.8
Lucy´s savings account has: $88+(35/100)$88=$118.8, 35% more monty than Edy´s. account.     .                                                                                                                            
7 0
3 years ago
Need help on 6th grade edge really need help worth my grade also i have more questoins so pls help
Natalka [10]
A^2+24^2=25^2

a^2+576=625

a^2=49 *square root both sides*

a=7 so the answer would be option A
3 0
3 years ago
A factory can fill 225 bottles of orange juice each hour. Each bottle of orange juice contains 24 fluid ounces. Each bottle of j
lozanna [386]

Answer:

27 i think

Step-by-step explanation:

I divided them to make sure its right im not 100 percent sure tho

8 0
3 years ago
Determine whether each sequence is geometric? <br> 1) 60,48,36,24,12,…<br> 2) 3,6,12,24,48,…
balandron [24]

Answers:

  1. Not geometric
  2. Geometric

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

Explanation for problem 1

Divide each term over its previous term.

  • term2/term1 = 48/60 = 0.8
  • term3/term2 = 36/48 = 0.75

We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is <u>not</u> geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.

Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.

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

Explanation for problem 2

Like before, we'll divide each term by its previous term.

  • term2/term1 = 6/3 = 2
  • term3/term2 = 12/6 = 2
  • term4/term3 = 24/12 = 2
  • term5/term4 = 48/24 = 2

Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".

5 0
3 years ago
Let’s say you go to the store and you want to buy cheese and you find out for 1 pound it’s $3.10 and you buy 2.3 pounds. What is
bogdanovich [222]
$7.13 hope this helps
7 0
3 years ago
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