The answer is: [A]: " -53 " .
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Explanation:
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Given:
" Let f(x) = -2x −<span> 7 and g(x) = -4x + 3. Find (f o g)(-5) " ;
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First, find g(-5) . g(x) = -4x + 3.
g(-5) = -4*(-5) + 3 = 20 + 3 = 23 ;
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Now find f (g(-5) to get the answer; that is f(23);
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Find f(23). f(x) = -2x </span>− 7 .
f(23) = (-2*23) − 7 = -46 <span>− </span>7 = -53 ; which is "Answer choice: [A]" .
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Answer:
Option b 18x-8 is correct answer.
Step-by-step explanation:
We need to simplify the expression 4(3x – 2) + 6x(2 – 1) and find the result.
Solving:
= 4(3x – 2) + 6x(2 – 1)
Multiplying terms with values in the bracket.
= 12x - 8 + 12x -6x
Adding like terms
= 12x + 12x - 6x -8
= 24x -6x -8
= 18x -8
So, Option b 18x-8 is correct answer.
Answer:
A)
Step-by-step explanation:
Answer:
B. 192.5 ft³
Step-by-step explanation:
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate
The appropriate selection is
D) 200.9 ft
