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3 years ago

If f(x)=3[x-2],what is f(5.9)? 9 10 11 12

Mathematics

2 answers:

inna [77]3 years ago

8 0

<span>f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
Thus, the answer is 12.

</span>

sesenic [268]3 years ago

3 0

Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function : $f(x)=3[x-2]$

Then, for x= 5.9 , we have

$f(5.9)=3[5.9-2]\\\\ f(5.9)=3[3.9]\\\\ f(5.9)=3(4)=12$ [since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

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Answer:

$67.5\text{ [square units]}$

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

Area of rectangle with base $b$ and height $h$ : $A=bh$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is $A=10\cdot 5=50$ .

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 2\cdot 5=5$ .

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 5\cdot 5=12.5$ .

Thus, the area of the total irregular figure is:

$50+5+12.5=\boxed{67.5\text{ [square units]}}$

7 0

3 years ago

Please help!

tensa zangetsu [6.8K]

If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)

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