Answer:
f(x) approaches positive infinity.
g(x) approaches negative infinity.
the y-intercept of f(x) is less than the y-intercept of g(x).
Step-by-step explanation:
the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.
therefore, with x going to positive infinity, also f(x) goes to positive infinity.
the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.
the y-intercept of f(x) = f(0).
that means the functional value when x=0.
so, for x=0 this means
y = 2×0³ - 3×0² + 5×0 + 7 = 7
the graph of g(x) shows that g(0) is 8.
so f(0) is less than g(0).
Answer:
yes no yes. I was a little skeptical about 18 but nevermind
Answer:
The answers of all four questions are below.
Step-by-step explanation:
(5)4+2x=−2x+44
Step 1: Simplify both sides of the equation.
2x+4=−2x+44
Step 2: Add 2x to both sides.
2x+4+2x=−2x+44+2x
4x+4=44
Step 3: Subtract 4 from both sides.
4x+4−4=44−4
4x=40
Step 4: Divide both sides by 4.
4x/4=40/4
x=10
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(6)114−3x=194−11x
Step 1: Simplify both sides of the equation.
114−3x=194−11x
114+−3x=194+−11x
−3x+114=−11x+194
Step 2: Add 11x to both sides.
−3x+114+11x=−11x+194+11x
8x+114=194
Step 3: Subtract 114 from both sides.
8x+114−114=194−114
8x=80
Step 4: Divide both sides by 8.
8x/8 = 80/8
x=10
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(7)4x-12=-2x+36
4x-12+12=-2x+36+12
4x=-2x+48
4x+2x=-2x+48+2x
6x=48
6x/6=48/6
x=8
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(9)-3x+90=117-12x
-3x+90-90=117-12x-90
-3x=-12x+27
-3x+12x=-12x+27+12x
9x=27
9x/9=27/9
x=3
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Oh, and a tip if your having trouble with algebraic expressions I recommend you use mathpapa and symbolab when I was learning expressions this really helped me. Have a great day.
Answer:
3 units right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left of a units
• If a < 0 then shift right of a units
Thus f(x) → f(x - 3) represents a shift of 3 units to the right
Answer:
1.The sum of thrice a certain number and six is greater than twenty seven.
2. Three times a certain number added to six the result is greater than twenty seven.
Step-by-step explanation:
The inequality whose word problem to be written is 3x + 6 > 27
Let x be a certain number.
So, we can write the following as the word problem of the inequality :
1.The sum of thrice a certain number and six is greater than twenty seven.
2. Three times a certain number added to six the result is greater than twenty seven.
