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Sidana [21]
3 years ago
14

Input and output of 2x+6

Mathematics
1 answer:
Reil [10]3 years ago
8 0
You need to write the entire function:  y = f(x) = 2x + 6.
Here the input quantity is x, and the output is y (or f(x)).
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Find the slope of the line using the table. (keep as a fraction)
attashe74 [19]
The slope is -2/3 or -2 over 3
8 0
2 years ago
305 divided by 12.2=____
ra1l [238]
305 divided by 12.2 equals 25. Have a nice day! ^ U ^
7 0
2 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
PLEASE HELP!!<br> is it right??
nydimaria [60]
You did good, it IS correct.
7 0
3 years ago
How do you write 75% as a fraction?
dem82 [27]

Answer:

3/4

Step-by-step explanation:

.74(75%) is equal to 75/100

The greatest common factor is 25, so divide 75 by 25 and 100 by 25.

75/25=3  100/25=4

So, 75/100 simplified is 3/4.

8 0
2 years ago
Read 2 more answers
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