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schepotkina [342]
2 years ago
14

mother age is three times biger than from the daughter.In 10 years mother's age will be 2 times bigger than the daughter.How man

y years the daughter and mmother are
Mathematics
1 answer:
Marrrta [24]2 years ago
6 0

Answer:

20 years apart.

Step-by-step explanation:

Daughter is 10 years old, and mother is 3 times older. This makes mother 30 years old.  There is a 20 year difference between them.

Ten years later, the daughter is 20 years old. Since the mother is 20 years older, she is now 40, which is 2 times older than the daughter.

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Consider the function below. (If an answer does not exist, enter DNE.) g(x) = 190 + 8x3 + x4 (a) Find the interval of increase.
galben [10]

Answer:

The interval of increase of g(x) is (-6,+\infty).

Step-by-step explanation:

The interval of increase occurs when first derivative of given function brings positive values. Let be g(x) = 190 + 8 \cdot x^{3} + x^{4}, the first derivative of the function is:

g'(x) = 24 \cdot x ^{2} + 4\cdot x^{3}

g'(x) = 4 \cdot x^{2}\cdot (6+x)

The following condition must be met to define the interval of increase:

4\cdot x^{2} \cdot (x+6) > 0

The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:

x + 6 > 0

The solution to this inequation is:

x > - 6

Now, the solution to this expression in interval notation is: (-6,+\infty)

3 0
3 years ago
Every day, a group of 9 workers picks pea pods in a field. Each worker picks 240 pea pods, and each pea pod contains 6 peas.
Marrrta [24]

9(240)= 2160 pea pods picked per day

2160(6)=12960 peas picked per day

Answer: The workers pick 12,960 peas every day

3 0
3 years ago
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Which is equivalent to 42x +49.
Semmy [17]

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

4 0
3 years ago
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John's bedroom is shaped like a rectangle. The dimensions of the room are 10 feet by 14 feet. What is the best estimate of the l
natali 33 [55]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
a banana contains 105 calories.last week,brendan and lea ate a total of 14 bananas.how many calories does this represent?
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Well if they ate a total of 14 bananas and each banana is 105 calories, that means that you have to multiply 105 calories by 14 bananas. The answer is 1470 calories.
8 0
2 years ago
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