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Elza [17]
3 years ago
11

What transformations produce the graph of g(x)=3^-x+7 from the graph of the parent function f(x)=3^*? select all that apply

Mathematics
2 answers:
Masja [62]3 years ago
5 0

Answer:

Reflect over the x - axis

Horizontal shift to the right 7 unit

Step-by-step explanation:

Given:

  • f(x)=3^{x}
  • g(x)= 3^{-x + 7} = 3^{-(x - 7)}

The 4 parameters in f(x) are:

a= 1 k = 1 d= 0 c = 0

The 4 parameters in g(x) are:

a= 1 k = -1 d= 7 c = 0

So we can see that, there are 2 parameter changed  k and d and affect the horizon of the graph. So we choose:

Reflect over the x - axis

Horizontal shift to the right 7 unit

galina1969 [7]3 years ago
4 0

Changing the x from positive to negative, reflects the graph over the Y-Axis.

Adding 7 to X shifts the graph horizontally 7 units to the right.

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A school has 63% percent girls and 37%, percent boys. If 23%, percent of the girls wears contacts and 42%, percent of the boys w
Degger [83]

Answer:

30% students

Step-by-step explanation:

Let x be the number of total students of a school.

63% are girls then total number of girls = (0.63)x

37% are boys then total number of boys = ( 0.37)x

Now 23% of girls wear contacts then total number of girls

= (0.63x) × 0.23

=  (0.1449x)

And 42% of boys wear contacts then total number of boys wearing contacts

= (0.37x) ( 0.42)

= (0.1554)x

Total students wears contacts = ( 0.1449x) + (0.1554x)

                                                  = (0.3003x)

Percentage of students wear contacts = \frac{\text{total students wear contacts}}{\text{total students in school}} × 100

= \frac{0.03003x}{x} × 100

= 30%

All 30% students wear contacts.

4 0
3 years ago
Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0
3 years ago
A rectangular box has dimensions 2 in by 4 in by 4 in. Increasing each dimension of the box by the same amount yieits a new box
Hoochie [10]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length
pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

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2 years ago
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