The value is 333
<h3>How to determine the function</h3>
From the information given, we have:
- x = - 8
- 1/3*h(x) = x^2-5x+7
Now, let's substitute the value of 'x' in the function:
1/3*h(x) = x^2-5x+7
1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7
Make 'h ( -8)' the subject of formula
h ( -8) = 
h ( -8) = 
Take the sum of the numerator
h ( -8) = 
Take the inverse of the denominator and multiply
h ( -8) = 111 × 3/ 1
h ( -8) = 333
We can see that through the substitute of the value of x as - 8, we get 333
Thus, the value is 333
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Answer:
Type in AR, DQ,BS, CP, It's tilted sideways.
Step-by-step explanation:
To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x
Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
= 
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
= 
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = 
≈ 22.0 ( to the nearest tenth )
(3)
= , substitute values
= 
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = 
, then
∠ C = 
( ) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
= , substitute values
= 
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = 
≈ 8.0 ( to the nearest tenth )
