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3 years ago

The graph of function f is shown below.

Mathematics

2 answers:

AysviL [449]3 years ago

5 0

Answer:

The axis of symmetry of function f is x = -2 . The axis of symmetry of function g is x = 2

Step-by-step explanation:

The graph of the function f is given below

Vertex of the graph of function f is (-2,7)

Axis of symmetry at x=-2

g(x) = 4(x - 2)^2 - 4

Vertex is (2,-4)

Axis of symmetry lies at the x coordinate of vertex

Axis of symmetry at x=2

The axis of symmetry of function f is x = -2 . The axis of symmetry of function g is x = 2

d1i1m1o1n [39]3 years ago

4 0

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation: g(x) = 4(x - 2)^2 - 4

The axis of symmetry comes from that "(x - 2)." It is x = +2.

The axis of symm. of f(x) is discernable in the diagram; that axis of symmetry is x = -2.

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A vial contains 20mL of medicine.If each dose is 1/3 of the vial,how many mL is each dose.Express your answer as a decimal

Genrish500 [490]

Answer:

each dose = 6.7 mL ( to 1 decimal place)

Step-by-step explanation:

Total volume of vial = 20mL

each dose of vial = 1/3 of the total volume

let us express this fraction as a real number:

1/3 of 20 = 1/3 × 20

Since we are to express the answer as a decimal, let us convert the fraction to decimal:

1/3 = 0.3333

∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL

since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p

∴ each dose = 6.7 mL

4 0

3 years ago

How many passwords of 4 digits are there(a)if none of the digits can be repeated?(b)start with 5 and end in an even digit?

liraira [26]

Answer:

5040,56

Step-by-step explanation:

We have to construct pass words of 4 digits

a) None of the digits can be repeated

We have total digits as 0 to 9.

4 digits can be selected form these 10 in 10P4 ways (since order matters in numbers)

No of passwords = 10P4

= $10(9)(8)(7)\\=5040$

b) start with 5 and end in even digit

Here we restrain the choices by putting conditions

I digit is compulsorily 5 and hence only one way

Last digit can be any one of 0,2,4,6,8 hence 5 ways

Once first and last selected remaining 2 digits can be selected from remaining 8 digits in 8P2 ways (order counts here)

=56

3 0

3 years ago

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

grigory [225]

Answer: $x=5(13-12p)$

Step-by-step explanation:

Given equation: $x=65-60p$

$\\\Rightarrowx=(5\times13)-(5\times12)p$

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

$x=5(13-12p)$

Hence, by factoring the side that contains the variable p we have the expression $x=5(13-12p)$ .

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3 years ago

What are the solutions to the equation 3(x – 4)(x + 5) = 0

Ne4ueva [31]

Answer:

x=4

x=-5

Step-by-step explanation:

in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.

123 * 29382 * 8139* 0 = 0

x-4 = 0

x = 4

x+5 = 0

x=-5

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