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USPshnik [31]
3 years ago
10

Represent the interval where both functions are increasing on the number line provided.

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

Step-by-step explanation:

The function f(x) = |3x| + 3

Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.

So, The interval of increasing for the function f(x) : (-∞, +∞)

The function g(x) = -x² + 8x - 5

⇒ g'(x) = -2x + 8

To find critical points : g'(x) = 0

⇒ -2x + 8 = 0

⇒ x = 4

So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)

Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)

Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

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Cna i get some help with dis plz
Tomtit [17]

Let b_1,b_2,\ldots,b_{20} be the 20 marks of the boys, and g_1,g_2,\ldots,g_{10} be the 10 marks of the girls.

We know that the global mean was 70, meaning that

\dfrac{b_1+b_2+\ldots+b_{20}+g_1+g_2+\ldots+g_{10}}{30}=70

Multiplying both sides by 30 we deduce that the sum of the scores of the whole classroom is

b_1+b_2+\ldots+b_{20}+g_1+g_2+\ldots+g_{10}=2100

By the same logic, we work with the marks of the boys alone: we know the average:

\dfrac{b_1+b_2+\ldots+b_{20}}{20}=62

And we deduce the sum of the marks for the boys:

b_1+b_2+\ldots+b_{20}=1240

Which implies that the sum of the marks of the girls is 2100-1240=860

And finally, the mean for the girls alone is

\dfrac{860}{10}=86

6 0
2 years ago
Forty-two of the students in band own their instrument.
goldfiish [28.3K]

Answer:

112 students

Step-by-step explanation:

Let T be the total number of students in the band.

From the question,

We were told that 37.5% of the total owns their individual instruments and this amount to 42 students

The total number of students can calculated for as follows:

37.5% x T = 42

37.5/100 x T = 42

Cross multiply to express in linear form

37.5 x T = 100 x 42

Divide both side by 37.5

T = (100 x 42) /37.5

T = 112

Therefore, there are 112 students in the band

6 0
3 years ago
When 3/11 is written as a decimal, how many digits are in the smallest sequence of repeating digits?
Anna11 [10]
It's b, 2 
The reason is because 3/11=0.27 that repeats the 27 over again
7 0
3 years ago
Read 2 more answers
What goes into 32 and 12
zimovet [89]

Answer:

4 .For 32 it goes into 4 and for 12 it goes into 4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which description is correct for this polynomial 4x^2+3x+5?
mash [69]

Its a quadratic trinomial

Its quadratic because the highest degree in the equation is two

Its a trinomial because there are three different terms in the equation

7 0
3 years ago
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