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3 years ago

Shawn said that in standard notation,

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

Shawn is incorrect.

Step-by-step explanation:

The decimal is moving 7 places to the right. The 2 is the third digit, so there will be 4 0s after it.

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Mario surveyed the 17 healthiest patients in the hospital.

ser-zykov [4K]

Step-by-step explanation:

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3 years ago

What are some of the reasons for Venus’s high temperatures?

Tems11 [23]

Answer:

As sunlight passes through the atmosphere, it heats up the surface of Venus. Most of this heat cannot escape back into space because it is blocked by the very thick atmosphere of Venus. The heat becomes trapped and builds up to extremely high temperatures

Step-by-step explanation:

im not sure if that is what you are looking for but there

7 0

3 years ago

What is he value of F(-3)

PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________

Given:

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f(x) = 7 − x ; if: x ≤ -3 ;

f(x) = x + 4 ; if: x > -3 ;

_________________________________________

Find: " f(-3) " :

_________________________________________

Note: " f(x) = f(-3) " ; → " x = - 3 " ;

Since " x = - =3 " ; → x is NOT greater than "-3" ;

→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:

We have "x = -3 " .

We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };

→ then: " f(x) = 7 − x " .

______________________________________________

Since: " x = - 3 " ;

→ then " x ≤ -3 " ; and:

→ f(x) = 7 − x ;

THEN:

→ f(-3) = 7 − (-3) ; → Note: Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→ = 7 + 3 ;

= 10 .

___________________________________________________

→ f(-3) = 10 .

_____________________________________

The answer is: " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0

4 years ago

Explain how 6/12 and 4/8 are equal fractions

bogdanovich [222]

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

5 0

3 years ago

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

3 years ago