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34kurt
3 years ago
12

(12f^2-9f+15)-(-4f^2-3f+6) subtract.

Mathematics
1 answer:
german3 years ago
8 0
So what you do is distribute the invisible -1 in front of the second parenthasees set and add like terms
remember
x^2+3x^2=4x^2
-(3+4x-x^2)=-1(3x+4x-x^2)=-3-4x+x^2

so first distribute the negative 1
-1(-4f^2-3f+6)=4f^2+3f-6
add
12f^2-9f+15+4f+3f-6
group like terms
12f^2+4f^2-9f+3f+15-6
add
16f^2-6f+9

aswer is 16f^2-6f+9

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A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. H
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1/12 of a jug is what is left

3 0
3 years ago
Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute
Illusion [34]

Answer:

c=6

Step-by-step explanation:

The absolute maximum of a continuous function f(x) is where f'(x)=0. Therefore, we must differentiate the function and then set x=-5 and f'(x)=0 to determine the value of c:

f(x)=xe^{-x}+ce^{-x}

f'(x)=-xe^{-x}+e^{-x}-ce^{-x}

0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}

0=5e^{5}+e^{5}-ce^{5}

0=e^5(5+1-c)

0=6-c

c=6

Therefore, when c=6, the absolute maximum of the function is x=-5.

I've attached a graph to help you visually see this.

7 0
3 years ago
The Apple Watch was on sale for $474.60. Find the original price of the Apple Watch if it had been reduced by 30%
kondor19780726 [428]

Answer:616.98

Step-by-step explanation:

5 0
3 years ago
45.50 is 30% of what number
m_a_m_a [10]

Answer:

31.85

Step-by-step explanation:

to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so

final value = 45.50 x ( 1 - \frac{30}{100} )

final value = 45.50 x ( 1 - 0.3)

final value = 45.50 x (0.7)

final value = 31.85  

subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50

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3 0
2 years ago
Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
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