Determine whether each equation represents a linear or nonlinear function.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer:

y=1/2x=6 - linear, written as y=mx+b.

y=(x-5)^2 - nonlinear, x has an exponent greater than 1

y=2^x+8 - nonlinear, x is an exponent

y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)

y=4x^3-1 - nonlinear, x has an exponent greater than 1

Step-by-step explanation:

You might be interested in

A zookeeper is buying fencing to enclose a pen at the zoo. The pen is an isosceles right triangle. There is already a fence alon

pav-90 [236]

Answer:

He should buy 189.47 feets.

Step-by-step explanation:

Since there's a hypotenuse this triangle is rectangular and since it's an isosceles triangle we know that both cathetus are equal. We were given the area of this triangle, wich is 4500 square feet, the equation to compute this area is A = b*h/2, since the cathetus are equal b = h and we can solve for either of this variables. So we have:

A = b*b/2

4500 = b*b/2

b*b= 9000

b = sqrt(9000) = 94.87 feet

Since the hypotenuse of this triangle already has a fence we only need to buy the fencing for the cathetus, wich should be two times b, since there are two cathetus. So the amount of fence is 2*b = 2*94.87 = 189.74 feets.

5 0

4 years ago

Amit and Aman have a water tank of 44 litres. Amit uses 3/4 part of the water in water

DENIUS [597]

Answer:

i dont know

Step-by-step explanation:

6 0

3 years ago

What is the x-coordinate of the point that divides EF into a 2:3 ratio?

viktelen [127]

Short Answer P(6/5,y) = P(1.2,y)
Remark
This problem is solved by a formula known as the section formula. If you want to divide a line into any ratio other than 1:1, this formula will do it for you.

Givens
Line segment with endpoints (-4,-8) and (9,3)
y2 = 3
y1 = -8
x2 = 9
x1 = - 4
m=2
n = 3
Desired ratio
m = 3
n = 2
m:n = 3:2

Formula
P(x,y) = $P(\frac{m*x2 + n*x1}{m+n}, \frac{m*y2 +n*y1}{m+n} )$

Sub and Solve
P(x,y) = $\frac{2*9 + 3*(-4}{2 + 3}, \frac{2*3 + 3*(-8)}{2 + 3}
$
P(x,y) = $\frac{18 - 12 }{5} , \frac{6 - 24}{5}$
P(x,y) $\frac{6}{5} , \frac{-18}{5}$

conclusion
The point you want is
P(6/5,-18/5) If you measure the length with a ruler, you should see that the ratio the line is cut into is 2 : 3

Note: This question all depends on where you start from and what you call (x1,y1) and (x2,y2). Be prepared to argue the point if this answer is incorrect. Point C on my graph is the answer.