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sergejj [24]
3 years ago
15

Graphs of functions on the interval [−4, 4] are depicted below. For each function, find:

Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

a) The domain is the set of the possible values of x.

In the graph, we can see that x goes from - 4 to 4

So the domain is: D = x∈ {-4, 4)

b) The zeros are the points where the graph cuts the x-axis.

Those values are:

x = -2

x = 0

x = 2.

c) The graph is positive if it is above the x-axis and it is negative if it is below the x-axis.

in the interval {-4,0} the graph is bellow the x-axis, so in this interval the function is negative.

in the interval {0, 2} the graph is above the x-axis, so in this interval the function is positive.

in the interval {2, 4} the graph is bellow the x-axis, so in this interval the function is negative.

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The length of the rectangle is 5/6 of inches and the width of the rectangle is 2/15 of inches. What is the area of the rectangle
Inga [223]

Answer:

W = X in.

L = (3x - 6) in.

A = L*W = (3x-6)X = 45,

3x^2 - 6x = 45

3x(x-2) = 45,

x(x-2) = 15,

x^2 - 2x - 15 = 0

(x-5)(x+3) = 0,

x-5 = 0,

x = 5 in.

x+3 = 0,

x = -3.

Solution Set: x = 5, and x = -3.

Select + value of X:

x = 5

W = x = 5 in.

L = 3x-6 = 3*5 - 6 = 9 in.

Step-by-step explanation:

4 0
2 years ago
Consider the following set of equations, where s, s0, x and r have units of length, t has units of time, v has units of velocity
Anna11 [10]

Answer:

5

Step-by-step explanation:

For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.

Also, two physically quantities can only be added or subtracted only when their dimension are same.

here all option are dimensionally correct except the 5th option where

dimension of t= [T] whereas dimension of a/v is \frac{LT^{-2}}{LT^{-1}}

= T^{-1}

since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.

8 0
3 years ago
What is the area of the square adjacent to the third side of the triangle?
Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

3 0
3 years ago
Sunayana took a novel book from her school library. She
hram777 [196]

Answer:

4.1% ororor

Step-by-step explanation:

1/6 = 16.7%

3/8 = 37.5%

5/12 = 41.7%

= 95.9%

100% - 95.9% = 4.1%

8 0
2 years ago
Help plz. I have no idea what i'm doing!
inysia [295]

Answer:

g(x) = 1/4 f(x)

Step-by-step explanation:

f passes through the origin and has a slope of 1.

f(x) = x

g passes through the origin and has a slope of 1/4.

g(x) = 1/4 x

Substituting:

g(x) = 1/4 f(x)

4 0
2 years ago
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