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2 years ago

Findthe domain of the function f(x) = √19-x

Mathematics

2 answers:

Jet001 [13]2 years ago

7 0

Answer:

(-∞,19)

Definition: The domain of a function is the set of input or argument values for which the function is real and defined

antoniya [11.8K]2 years ago

4 0

Answer:

(-∞, 19]

Step-by-step explanation:

The domain of this function is only true for all real values of f(x).

That means the lower limit of the function is -∞ as the values are positive, and the upper limit is 19, because that is the greatest value it can become before becoming negative.

The domain is : (-∞, 19]

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NEED HELP PLZ!!!!!!!!!!!!!

podryga [215]

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

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3 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) = $0.468x^{2}$ .

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3 years ago

At a garden center grass seeds sell for $8 per pound. Kalil spent $10 on grass seed. What amount of seed did he buy

Brut [27]

Kalil bought 1 pound and 1/4. ( 1 1/4) It means: 1 pound and a quarter pound.

7 0

3 years ago

Dilate the circle using center (0,0) and scale factor 2 Pls help

gladu [14]

Answer:

look at image

Step-by-step explanation:

you're just making the circle twice as big. so since one of the points of the circle is (0,2) it would now be, (0,4) because 2 x 0 = 0 and 2 x 2 = 4.