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inessss [21]
3 years ago
7

A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the

domain and range of the new function compare to the domain and range of the original function? Check ALL that apply.
The range stays the same.
The range becomes y > 2.
The domain stays the same.
The domain becomes x > 2.
The range becomes y ≥ 2.
The domain becomes x ≥ 2.
Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer:

The range stays the same.

and

The domain stays the same.  

Step-by-step explanation:

olga nikolaevna [1]3 years ago
6 0

Answer:

The range stays the same.

The domain stays the same.  

Step-by-step explanation:

The function f(x)=ab^{x} is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.

Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.

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Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 mm^3

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 mm^3

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

                                          $=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

                           $=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

                                     $=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

                                                               = 67.5 mm^3

5 0
3 years ago
It's 9 4/5 miles from Justin's house to the art museum the distance to the history museum is 9/10 this far
Leno4ka [110]
The history museum is less that 9 4/5 miles. 9/10 means that the 9 3/4 mile is broken up into 10 equal parts and the distance to the museum is only 9 of those parts. 9 3/4 (9.8) divided by 10 equals 98/100 (.98) 
98/100 x 9 = 882/100 or 8.82 

Justin's house is 8.82 miles from the museum. 
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3 years ago
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Maru [420]

Answer:

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Step-by-step explanation:

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3 + 8x = 8x + 3

x = all real numbers because this equation is an identity

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