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Mrrafil [7]
3 years ago
14

Determine if each function is linear or nonlinear. Drag each function into a box to correctly classify it. A:y=2x^3 B:y = x + 5

C:y=x^2−3 D:5x + 5y = 25 y=x^2/2
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
8 0

Answer:

A:  Nonlinear; B:  Linear; C:  Nonlinear; D:  Linear; E:  Nonlinear

Step-by-step explanation:

In order for a function to be linear, the power of the variable x must be 1.

In function A, the power of x is 3; this makes the function cubic, not linear.

In function B, the power of x is 1; this makes the function linear.

In function C, the power of x is 2; this makes the function nonlinear.

In function D, the power of x is 1; this makes the function linear.

In function E, the power of x is 2; this makes the function nonlinear.

mel-nik [20]3 years ago
3 0
Linear functions are a straight line. Non-linear have a curve and an exponent higher than 1.

A) Non
B) Linear
C) Non
D) Both
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Answer:

289

Step-by-step explanation:

4 0
3 years ago
Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
what is the unknown number in sequence 2 in the chart? What rule can you write that relates sequence 2 to sequence 1
sergij07 [2.7K]
Answer C. The pattern is that each number in sequence 1 is being doubled to get the number in sequence 2, and 40*2=80
3 0
2 years ago
A rectangular prism has a volume of 600 cubic inches.
choli [55]

Answer:

The length is 12 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by:

V=LBH

It was given that; the rectangular prism has a volume of 600 cubic inches.

The height of the prism is 5 inches and the width is 10 inches.

We want to find the length of the rectangular prism.

We substitute V=600, H=5,and W=10 into the formula:

600=5×10×L

600=20L

L =  \frac{600}{50}

L = 12in

6 0
2 years ago
Find the value of x ?
RUDIKE [14]

Answer:

x = 50

Step-by-step explanation:

add all terms and set sum equal to 360

the 'hint' of (n-2)180 determines how many degrees there are inside the polygon; if 'n' equals the number of sides and the polygon has 4 sides then sum of interior angles is (4-2)180 or 2x180 which is 360

x + 10 + 3x + x + 2x = 360

combine like terms to get:  7x + 10 = 360

                                             7x = 350

                                              x = 50

6 0
2 years ago
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