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crimeas [40]
3 years ago
10

What are the domain and range of the function f(x) = -3 (x-5)^2 + 4?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Domain=all real numbers

Range is x≤4

Hope this helps :)


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Logarithmic Functions <br> Can anyone help?
aliya0001 [1]

The equation y\ =-2\log_{2}\left(x+2\right)+8 has x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞). Thus Option A,B and C are correct.

<h3>What are functions?</h3>

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

Given function,
= y\ =-2\log_{2}\left(x+2\right)+8
Domain of the above function is grater than -2 because at -2 system goes to infinity. Domain can be given as(-2, ∞).

Given function has x intercept at (14, 0) and y intercept at (0, 6).

Thus, the given function of log has following characteristic i.e.
x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞).

Learn more about function here:

brainly.com/question/21145944

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6 0
1 year ago
Simplify each expression. 16 1/4. 49 1/2. 10001/3-64 1/6
Crazy boy [7]
The answer for the first one is 4 the sacend one is 49/2 the thirst one is 33223
7 0
3 years ago
What can be an equation of the line with a slope of −7 that passes through the point (−3,12).
laiz [17]

Answer:

y=-7x-9

Step-by-step explanation:

y=mx+b(where m is slope and b is y intercept)

y=-7x+b

plugging the number in we get

12=-7(-3)+b

12=21+b

b=-9

so y= -7x-9

if you find my answer helpful please mark as brainliest.

8 0
3 years ago
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be r
Tamiku [17]

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

8 0
3 years ago
Workout the area of the quarter of a circle with a radius of 8
QveST [7]

Answer:

16\pi

Step-by-step explanation:

We need to find 1/4 of the area of a circle with a radius of 8

Let r be radius

Area of a circle = r^{2} \pi

Substitute r with 8

Area of a circle = 8^2\pi =64\pi

Now, to find 1/4 of the area, we can create an equation \frac{64\pi }{4}={16\pi

The answer is 16\pi

Hope this helps :)

Have a spectacular day!

3 0
3 years ago
Read 2 more answers
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