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eimsori [14]
2 years ago
15

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. g(x) f(x)

Mathematics
1 answer:
vlada-n [284]2 years ago
5 0

Answer:

k = 4

Step-by-step explanation:

First, find the equations of each function.

f(x) = x/3 - 3

g(x) = x/3 + 1

Then plug these values for g(x) = f(x) + k.

x/3 + 1 = x/3 - 3 + k          subtract x/3 on both sides

1 = -3 + k                          add -3 on both sides

k = 4                                we're done!

and this makes sense because g(x) is just a translation of f(x) 4 units up.

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A rectangular photograph is nine centimeters wide and fourteen centimeters long. The photograph is enlarged by increasing the le
koban [17]

Answer:

Width=13cm

Length=18cm

Step-by-step explanation:

Width of the Initial Photograph=9cm

Length of the Initial Photograph=14cm

If width and length are increased by an equal amount, say x

New Width=9+x

New Length=14+x

Area of the new photo is 108 square centimeters greater than the area of the original photo.

Area of Original Photo=14*9=126cm²

Aeea of the New Photo=126+108=234cm²

Therefore:

(9+x)(14+x)=234

126+9x+14x+x²-234=0

x²+23x-108=0

x²+27x-4x-108=0

x(x+27)-4(x+27)=0

(x+27)(x-4)=0

x+27=0 or x-4=0

x=-27 or x=4

Since x≠-27

x=4cm

The dimensions of the new photo are:

Width=9+x=9+4=13cm

Length=14+x=14+4=18cm

4 0
3 years ago
Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
Nady [450]
Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as f = ma, being force, mass, and acceleration respectively.

We already have 2 parts of the equation,50 = 10a 

Acceleration due to gravity on the planet is 5 m/s^2

Plug it into the equation f = ma

f=6kg x 5m/s^2

Weight or force from gravity is 60N.

8 0
3 years ago
Fatores 2m^4 - 18n^6
exis [7]
2m⁴ - 18n⁶
2(m⁴) - 2(9n⁶)
2(m⁴ - 9n⁶)
2(m⁴ - 3m²n³ + 3m²n³ - 9n⁶)
2[m²(m²) - m²(3n³) + 3n³(m²) - 3n³(3n³)]
2[m²(m² - 3n³) + 3n³(m² - 3n³)]
2(m² + 3n³)(m² - 3n³)
6 0
3 years ago
Teri ran 8 kilometers
viva [34]

Answer:

teri is tired

Step-by-step explanation:

from running

7 0
3 years ago
Find two consecutive odd integers whose product is 99
Illusion [34]
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0

So the two odd numbers were 9 and 11
8 0
3 years ago
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