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2 years ago

How do I graph the function: d(x)=|x| -4 ?

Mathematics

1 answer:

777dan777 [17]2 years ago

6 0

Answer:

attached below

Step-by-step explanation:

d(x)=|x| -4

x≥0 d(x) = x -4

x<0 d(x) = -x -4

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What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y

bixtya [17]

4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6

Answer: (6,-7)

8 0

3 years ago

What curve passes through the point (1 ,2) and has an arc length on the interval [2,6] given by Integral from 2 to 6 StartRo

Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

$L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx$

Length of curve is given by

$L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx$ over interval a to b

comparing two we get

$\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}$

$dy=8x^{-3}dx$

integrating

$\int dy=\int 8x^{-3}dx$

$y=-4x^{-2}+C$

Curve Passes through (1,2)

$1=-4+C$

$C=5$

curve is

$y+\frac{4}{x^2}=5$

3 0

3 years ago

In a school of 2000 students, 1150 do not like puzzles. 2/5 of the students travel to school by bus. 595 of the people that do l

Vadim26 [7]

The number of students who do not like puzzles and ride the bus to school is 205

To find the answer it is necessary to do the following procedure:

To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.

2000 ÷ 5 = 400
400 × 2 = 800

From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.

Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)