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bezimeni [28]
3 years ago
14

What is the inverse of the function

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
n(x)= \frac{ x^{2}+2 }{5}
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Which method(s) can be used to solve a system of equations? Select all that apply. distributing graphing substitution formulas a
katovenus [111]
Distributing, formulas, and addition
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3 years ago
Greg is trying to solve a puzzle where he has to figure out two numbers, x and y. Three less than two-third of x is greater than
Fittoniya [83]
Inequation 1: 

\frac{2}{3}x-3 \geq y

to plot the pairs (x, y) for which the inequation holds, draw the line y=\frac{2}{3}x-3

then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.

we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

inequation 2: 

y+ \frac{2}{3}x\ \textless \ 4

y\ \textless \ - \frac{2}{3} x+ 4



draw the lines 

i)  y=\frac{2}{3}x-3          use points (0, -3),  (3, -1)

ii)y=- \frac{2}{3} x+ 4       use points ( 0, 4),   (3, 2)


let's use the point P(3, 3) to see what region of the lines need to be coloured:

\frac{2}{3}x-3 \geq y  ; 
\frac{2}{3}(3)-3 \geq 3
2-3 \geq 3, not true so we color the region not containing this point


y+ \frac{2}{3}x\ \textless \ 4
(3)+ \frac{2}{3}(3)\ \textless \ 4
3+ 5\ \textless \ 4 not true, so we color the region not containing the point (3, 3)

The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



4 0
3 years ago
10 POINTS!! Brainliest!<br> Find the volume of the prism. Round to the nearest tenth if necessary.
il63 [147K]

Answer:

308 cm³

Step-by-step explanation:

The volume (V) of a rectangular prism ( cuboid ) is

V = lbh ( l is the length, b the breadth and h the height )

Here l = 11, b = 7 and h = 4, thus

V = 11 × 7 × 4 = 308 cm³

6 0
3 years ago
A square orange rug has a blue square in the center. The side length of the blue square is x inches. The width of the orange ban
Ivahew [28]

Answer:

(x+12)(x+12)-x^2

x^2 + 2(12)(x)+12^2-x^

=24x+144

Step-by-step explanation:

3 0
3 years ago
Determine two pairs of polar coordinates for (3,-3) when 0
Xelga [282]

The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).

<h3>What is a polar coordinate?</h3>

A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

Next, we would determine the distance (r) and angle (θ) as follows:

r = √(3² + (-3)²)

r = √(9 + 9)

r = 3√2.

θ = tan⁻¹(-3/3)

θ = tan⁻¹(-1)

θ = 3π and 7π/4 (second and fourth quadrants).

Converting to degrees, we have:

θ = 135° and 315°.

Read more on polar coordinates here: brainly.com/question/3875211

#SPJ1

Complete Question:

Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°

5 0
2 years ago
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