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Trava [24]
4 years ago
10

Consider the equation f(x)=-6x-1 and g(x)=4x^2 select the solution for (f+g)(x)

Mathematics
2 answers:
Nat2105 [25]4 years ago
4 0
f(x)=-6x-1;\ D_f:x\in\mathbb{R}\\\\g(x)=4x^2:\ D_g:x\in\mathbb{R}\\\\D_f=D_g\ then\ (f+g)(x)=f(x)+g(x):\\\\(f+g)(x)=(-6x-1)+(4x^2)=4x^2-6x-1
statuscvo [17]4 years ago
4 0
f(x)=-6x-1\\ g(x)=4x^2 \\\\ (f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=-6x-1+4x^2=4x^2-6x-1


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Solve the equation 9r - 2 = 16 for r.<br> A) 1<br> B) 2<br> C) 4<br> D) 6
yaroslaw [1]
<span>9r - 2 = 16

9r = 16 + 2 

9r = 18

r = 2

Answer : B) 2</span>
6 0
4 years ago
(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Serggg [28]

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

6 0
3 years ago
Point A is at (2, -8) and point C is at (-4, 7).
Dahasolnce [82]

Answer:

(-2, 2)

Step-by-step explanation:

<u>Given:</u>

  • Point A is at (2, -8) and point C is at (-4, 7)

<u>Difference of coordinates:</u>

  • Δx = 2 - (-4) = 6
  • Δy = - 8 - 7 = - 15

<u>The ratio of AB to AC is 2:1. So:</u>

  • AB = 2*AC/3 and BC = AC/3

<u>Then coordinates of point B should be 2/3 from the point A:</u>

  • x = 2- 6*2/3 = 2 - 4 = -2
  • y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

7 0
3 years ago
A bag contains 35 coins, some dimes and some quarters. The total amount of money in the bag is $4.85. How many dimes and how man
miskamm [114]

Answer:

9 quarters and 26 dimes

Step-by-step explanation:

your welcome :)

5 0
1 year ago
Plz help me!!!!!!!!!!!!!
tigry1 [53]
If the formula is a+b-c then you need to substitute the letters with the numbers. For this equation the formula would be:
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The answer would be 1
4 0
3 years ago
Read 2 more answers
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