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2 years ago

Which parent function is f(x)=|x|?

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

I think it’s A tbh because f(x) goes into 1. And that becomes a straight line. And linear is a straight line.

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anita has two sisters and three brothers. the mean of all their ages is 6 years. what will their mean age be 10 years from now?t

pogonyaev

Answer:
Now: 6 yr mean age
in 10 yrs? 16 yr mean age
in 20 yrs? 26 yr mean age

Why? Because regardless of the relationship between each sibling's age, your always adding the 10yrs to each individual, which you are then dividing out to determine the mean age. See proof below:

Including anita, there are 6 people. We'll define each age as an unknown variable. Assume we know nothing about the relationships between their ages

for example sake
anita's age = a
sister 1's age = b
sister 2's age = c
brother 1's age = d
brother 2's age = e
brother 3's age = f

Now:
mean age = (a + b + c + d + e + f)/(6 people) = 6 yrs

in 10 yrs:
mean age = ((a+10) + (b+10) + (c+10) + (d+10) + (e+10) + (f+10))/(6 people)
mean age = (a + b + c + d + e + f + 60)/(6 people)
mean age = (a + b + c + d + e + f)/(6 people) + (60)/(6 people)
mean age = (a + b + c + d + e + f)/(6 people) + 10

Notice the first term is the same expression of the mean age for "Now"
Thus, in 10 yrs:
mean age = 6 + 10 = 16 yrs

The same principle applies for "x" yrs from now, as long as we know what the mean age is "Now"

3 0

4 years ago

Read 2 more answers

A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.

pantera1 [17]

Answer:

6647.6 liters

Step-by-step explanation:

The volume of a cylinder with end area r and length (or height) h is

V = πr²h

If we substitute 2.3 m for r and 400 m for h, we get:

V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters

7 0

3 years ago

Find the Quotient.<br>5,483 ÷ 4

prisoha [69]

Answer:

1370.75

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following is an arithmetic sequence?

arsen [322]

Answer:

Here are a few lists of numbers:

3, 5, 7 ...

21, 16, 11, 6 ...

1, 2, 4, 8 ...

Step-by-step explanation:

Ordered lists of numbers like these are called sequences. Each number in a sequence is called a term.

3,3,3, comma 5,5,5, comma 7,...7,...7, comma, point, point, point

\uparrow↑\uparrow \uparrow↑\uparrow \uparrow↑\uparrow

\footnotesize 1^\text{st}\text{ term}1

term1, start superscript, start text, s, t, end text, end superscript, start text, space, t, e, r, m, end text \footnotesize 2^\text{nd}\text{ term}2

term2, start superscript, start text, n, d, end text, end superscript, start text, space, t, e, r, m, end text \footnotesize 3^\text{rd}\text{ term}3

term3, start superscript, start text, r, d, end text, end superscript, start text, space, t, e, r, m, end text

Sequences usually have patterns that allow us to predict what the next term might be.

For example, in the sequence 3, 5, 7 ..., you always add two to get the next term:

\footnotesize\maroonC{+2\,\Large\curvearrowright}+2↷start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6 \footnotesize\maroonC{+2\,\Large\curvearrowright}+2↷start color #ed5fa6, plus, 2, \curvearrowright, end color #ed5fa6

3,3,3, comma 5,5,5, comma 7,...7,...7, comma, point, point, point

8 0

3 years ago

Find an equation of the plane. the plane through the point (3, 0, 7) and perpendicular to the line x = 5t, y = 2 − t, z = 8 + 4t

Gnom [1K]

Let's write the parametric line

(x,y,z) = (0,2,8) + t(5,-1,4)

(5,-1,4) is called the direction vector of the line. It's normal to the plane

5x - y + 4z = constant

We get the constant by substituting the point (3,0,7),

5x - y +4z = 5(3) - 0 + 4(7) = 43

5x - y +4z = 43

4 0

3 years ago