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tia_tia [17]
3 years ago
12

Which statement is true about the graphed function?

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

Option A.

Step-by-step explanation:

In the given graph there are four intervals in which we have to find the nature of function.

1). In the interval (-∞, -0.7)

f(x) < 0

Because for every value of x, value of the function is negative.

2). In the interval (-0.7, 0.76)

f(x) > 0

For each value of x, value of the function is greater than 0.

3). In the interval (0.76, 2.5)

f(x) < 0

Because in this interval value of the function is negative.

4). Interval (2.5, ∞)

f(x) > 0

Because value of the function for every value of x, is greater than 0.

When we compile all four properties Option A. comes out to be the right option.

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What is the side of an right triangle across from the right angle called
matrenka [14]

Answer:

hypotenuse

Step-by-step explanation:

6 0
3 years ago
15 points. Please answer as soon as possible.
abruzzese [7]

Answer:

A. \frac{(a-b)^{2} +b^{2} }{a^{2}}

Step-by-step explanation:

So to get the area of a square, we need to find the length of one side.  

We know the length of the larger square is a, so the area of the larger cube is a^{2}

We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner.  The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.

We can plug it into pythagoreans theorem to get

(a-b)^{2} +b^{2} = C^{2} (C represents the length of one side of the smaller square, and the hypotenuse of the triangle)

C = \sqrt{ (a-b)^{2} +b^{2}}

The area of the smaller triangle is C squared to the area of the smaller triangle is

(a-b)^{2} +b^{2}

To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.

So the ratio should be

\frac{(a-b)^{2} +b^{2} }{a^{2}}

8 0
3 years ago
Find the surface area
horrorfan [7]

Answer:

179

Step-by-step explanation:

I believe this is correct, if not feel free to elt me know and I will fix it. I'm sorry in advance if it is incorrect.

7 0
3 years ago
Read 2 more answers
Solve by completing the square? Could you please work it out step-by-step?
DaniilM [7]
16 n^2 -10n + 129 = 8n^2 -8

We collect the terms:
8n^2 -10n + 137 = 0

The steps for completing the square:

1) Move the "non X" (or "non N") term to the right:

8n^2 -10n  = -137

<span>2)<span> Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = </span></span><span><span>-17.125 </span>

3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36

</span>
n^2 -1.2n +.36 = <span>-17.125 +.36

Take the square root of both sides:</span>
(n-.6)*(n-.6) = sq root( <span> <span> <span> -16.765 </span> </span> </span> )
That's about as far as I can go.

4 0
3 years ago
Explain how complex fractions can be used to solve problems involving ratios?
alisha [4.7K]
Complex fractions are numbers in which the numerator and the denominator are both fractions. in this case, to solve the ratio, we can multiply the numerator fraction by the reciprocal of the denominator fraction. Another way is to solve the fraction separately and then divide eventually. 
8 0
3 years ago
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