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8090 [49]
2 years ago
13

F(x) = -4x + 10 g(x) = x2 + 7x+ 5 Composition of functions how to solve value of g [f(4)]

Mathematics
1 answer:
maxonik [38]2 years ago
7 0

9514 1404 393

Answer:

  g(f(4)) = -1

Step-by-step explanation:

Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.

  g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5

  g(f(4)) = -1

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In what base does 126 + 26b = 410?<br> The base, b, is ___ (Type a whole number.)
yKpoI14uk [10]

Answer:

11

Step-by-step explanation:

I subtracted 126 from 410 and got 284 then I divided 16 from 284 and got 11

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3 years ago
What is the solution to the inequality |2n+5|&gt;1?
Yuliya22 [10]
ANSWER

n <  - 3 \: or \: n>  - 2



EXPLANATION



The given inequality is,

|2n + 5|  \:  >  \: 1


By the definition of absolute value,



- (2n + 5)  \:  >  \: 1 \: or \: (2n + 5) \:  >  \: 1



We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

2n + 5 \:   <   \:  - 1 \: or \: (2n + 5) \:  >  \: 1

We simplify now to get,

2n   \:   <   \:  - 1 - 5 \: or \: 2n  \:  >  \: 1 - 5


2n   \:   <   \:  - 6 \: or \: 2n  \:  >  \:  - 4


Divide through by 2 to obtain,

n   \:   <   \:  - 3 \: or \: n  \:  >  \:  - 2


4 0
3 years ago
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K is the midpoint of Line JL, JL=4x-2 and JK=7. find X
ipn [44]
X=4. If k is the midpoint then JK is equal to KL. Since JK is 7 then KL is also 7 meaning JK is 14. JK is represented by the expression 4x-2 so you just set that expression equal to 14 and solve for x. Hope this helped!
7 0
3 years ago
I NEED HELP ON QUESTION B AND C ASAP.
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Answer:

  • See below

Step-by-step explanation:

<h3>Part B</h3>

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

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<h3>Part C</h3>

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

  • V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
  • V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

<u>Total sand in the bottom part:</u>

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<u>Time taken:</u>

  • 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
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2 years ago
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