Answer:
(a) f(4) = 11
(b) f(-1) = 211
(c) f(a) = 5a² -55a +151
(d) f(2/m) = (151m² -110m +20)/m²
(e) x = 5 or x = 6
Step-by-step explanation:
A graphing calculator can help with function evaluation. Sometimes numerical evaluation is easier if the function is written in Horner Form:
f(x) = (5x -55)x +151
(a) f(4) = (5·4 -55)4 +151 = -35·4 +151 = -140 +151 = 11
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(b) f(-1) = (5(-1)-55)(-1) +151 = 60 +151 = 211
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(c) Replace x with a:
f(a) = 5a² -55a +151
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(d) Replace x with 2/m; simplify.
f(2/m) = 5(2/m)² -55(2/m) +151 = 20/m² -110m +151
Factoring out 1/m², we have ...
f(2/m) = (151m² -110m +20)/m²
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(e) Solving for x when f(x) = 1, we have ...
5x² -55x +151 = 1
5x² -55x +150 = 0 . . . . subtract 1
x² -11x +30 = 0 . . . . . . . divide by 5
(x -5)(x -6) = 0 . . . . . . . . factor
Values of x that make the factors (and their product) zero are ...
x = 5, x = 6 . . . . values of x such that f(x) = 1
Answer:
If tan2 x = 3 then the value of x is 3. So three is your answer!
Step-by-step explanation:
Answer:1,2,3,4,6
Step-by-step explanation:
PLEASE GIMME BRAINLIEST THANK U <3 :))
Answer:
The shadow of the pole is 1.2 feet long
Step-by-step explanation:
A little girl standing next to a telephone pole at 10 AM.
From the above question
Height of the girl = 4'6" tall = 4 feet and 6 inches tall
We convert to feet
= 12 inches = 1 foot
6 inches = x
Cross Multiply
12 × x = 6 × 1
x = 6/12 = 1/2 = 0.5 feet
Hence, the total height of the girl =
4 feet + 0.5 feet = 4.5 feet
The height of the telephone pole = 40 feet high.
The shadow of the telephone pole
= 8' 32 foot shadow
= 8 feet, 32 inches
We convert the inches to feet
12 inches = 1 foot
32 inches = x
Cross Multiply
12 × x = 32 × 1
x = 32/12 = 8/3 = 2.67 feet
Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet
how long is a little girl shadow?
This is calculated using proportion
Shadow/Height
Shadow of the girl = x
Hence:
Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole
x/4.5 feet = 10.67 feet/40 feet
Cross Multiply
40 × x= 4.5 × 10.67
x = 4.5 × 10.67/40
x = 1.200375 feet
Approximately = 1.2 feet
Hence, the shadow of the pole is 1.2 feet long
Answer:
c) x=13
Step-by-step explanation:
4x + 2 = 90 − 36
Step 1: Simplify both sides of the equation.
4x + 2 = 90 − 36
4x + 2 = 90 + −36
4x + 2 = (90 + −36) (Combine Like Terms)
4x + 2 = 54
4x + 2 = 54
Step 2: Subtract 2 from both sides.
4x + 2 − 2 = 54 − 2
4x = 52
Step 3: Divide both sides by 4.
4x/
4 = 52/
4
x=13
if you need a shorter way to get this... is to do what i did and just used MathPapa's algebra calculator and put in "4x + 2 = 90 - 36" cause that's basically what the question is asking you to use... im not saying to do my method... im just saying that's how i got it
Ω Entity001 And Project Omega Ω
