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AnnyKZ [126]
2 years ago
7

Can somebody help me with this please!!

Mathematics
1 answer:
saul85 [17]2 years ago
8 0

1. -21

2. −39

3.−42

4. -5

5. −3

for the other question u can use calculator :)

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Find all solutions in the integers of the equation ||x−3|−5| = 10, where the bars indicate absolute value.
Helga [31]

Answer:

x = 18 or x = -12.

Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12.  We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

3 0
3 years ago
(24 oz is $3.49, 48 oz is $6.49) Figure out the unit rate for each jar of pasta sauce.
Svet_ta [14]

Answer:

Step-by-step explanation:

3.48/24= 14.54 cents/ oz

6.49/48= 13.52 cents/oz

5 0
3 years ago
What is the ratio of 18-29
ANEK [815]
62.069% is what i thank it is
6 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0
3 years ago
If someone makes $650 a week, how much will they make in a<br> year?
Arlecino [84]

Answer:

they will make $33,800 in a year.

Step-by-step explanation:

there are 52 weeks in a year, so $650×5= $33,800

5 0
2 years ago
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