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zmey [24]
3 years ago
12

What is (f−g)(x)? f(x)=x^4−x^2+9 g(x)=x^3+3x^2+12 (f−g)(x)=

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

x^4 -x^3 -4x^2-3

Step-by-step explanation:

f(x)=x^4−x^2+9  

g(x)=x^3+3x^2+12

(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)

 Distribute the minus sign

(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12

I like to line them up vertically

x^4        −x^2+9

    - x^3 -3x^2-12

---------------------------

x^4 -x^3 -4x^2-3

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In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+
sergij07 [2.7K]

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

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Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

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y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

6 0
3 years ago
What is 9x+7y=-18 using substitution
wlad13 [49]

7y=-9x-18

that is all I can do

4 0
3 years ago
Perform the indicated operation.<br> (-9 + 21) - (-12 + 4) =
Trava [24]

Answer:

29

Step-by-step explanation:

-9+21= 21

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6 0
3 years ago
A fish tank is filled with water.The tank holds 150 gallons.Each cubic foot of water contains about 7.5 gallons.The rank is 5 fe
san4es73 [151]

Answer:

Width = 1\frac{1}{3} ft

Step-by-step explanation:

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The volume of the tank = Length(l) × Width(w) × Height(h) = 20 ft³

i.e 5 ft × w × 3 ft = 20 ft³

15w ft² = 20 ft³

w = \frac{20 ft^3}{15 ft^2} =  1\frac{1}{3} ft

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VashaNatasha [74]
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3 years ago
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