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3 years ago

Describe the transformation from the parent function to the function g(x)=2 times 3^x-4

Mathematics

1 answer:

azamat3 years ago

6 0

Answer:

Step-by-step explanation:

The parent function of g(x) = 2*3^x-4 would be 3^x

The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)

The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.

The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.

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The Frill family and the Smith family go to the movies.

Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

$6a + 2c = 124$

as equation 1,

and

$3a + 5c = 100$

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

$3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200$

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

$(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5$

Now substitute c into equation 2.

$3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5$

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0

2 years ago

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of

lesya692 [45]

Answer:

first car = 35, second car= 15

Step-by-step explanation:

40x+15y=1625

x+y=50

multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15

4 0

2 years ago

Write the sentences as proportion. Twelve hundredths is to three as twenty-four hundredths is to eight

ValentinkaMS [17]

Answer:

see the explanation

Step-by-step explanation:

Remember that

A proportion is the ratio (quotient) between two numbers

Twelve hundredths to three is ----> $\frac{0.12}{3}$

Twenty-four hundredths to eight ----> $\frac{0.24}{8}$

therefore

Twelve hundredths is to three as twenty-four hundredths is to eight

$\frac{0.12}{3}=\frac{0.24}{8}$

Note The proportion is not true

3 0

2 years ago

7 + 7x - (2x) + 3 if x = -4

frutty [35]

Answer:

-10

Step-by-step explanation:

7 + 7(-4) - (2(-4)) + 3

7 - 28 - (-8)+3

7 - 28 +8 +3

= -10

4 0

2 years ago

Read 2 more answers

Feb 05, 3:07:40 PM

zaharov [31]

Solve (2x - 1)(3x^2 - 9x - 4)
=

7 0

3 years ago