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kiruha [24]
3 years ago
10

Adition and subtraction of functions

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

(f + g)(x) = x² - x + 6

Step-by-step explanation:

Step 1: Define

f(x) = x² + 1

g(x) = 5 - x

Step 2: Find (f + g)(x)

(f + g)(x) = x² + 1 + 5 - x

(f + g)(x) = x² - x + 6

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3 0
4 years ago
ou decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes? g
Brilliant_brown [7]
Short answer: 375 grams

Remark
You only need to set up a direct proportion

Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30

Proportion
amount flour for 12 cakes / 12 cakes  = x / 30

Sub and solve
150 grams / 12 cakes = x / 30 cakes  Cross multiply
150 * 30 = 12 *x                                  Multiply the left side. 
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4500/12 = x
375 grams for 30 cakes. <<<<< Answer
5 0
4 years ago
The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tent
kkurt [141]

Answer:

39.6 cm

Step-by-step explanation:

Applying

s = 2πrθ/360................ Equation 1

Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes

From the question,

Given: r = 9 cm, θ = 252°

Constant: π = 22/7 = 3.14

Substitute these values into equation 1

s = (2×3.14×9×252)/360

s = 39.564

s = 39.6 cm

4 0
3 years ago
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Andreyy89
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3 years ago
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Anarel [89]

Answer:

Yes :)

Step-by-step explanation:

4 0
3 years ago
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