Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
Answer:
155
Step-by-step explanation:
5*5=25
((5*13)/2)*4=130
130+25=155
Answer:
x>14
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
-4>-2x+24
Step 2: Flip the equation.
-2x+24<-4
Step 3: Subtract 24 from both sides.
-2x+24-24<-4-24
-2x<-28
Step 4: Divide both sides by -2.
-2x-2<-28-2
x>14
If it is right can I have brainliest.
Answer:
cos h=x/h=30/g=60/x=rad3/2...y=1/2/z=1
Step-by-step explanation:
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Answer:
The profit is $16
Step-by-step explanation:
From the question, we have 20 kg at Birr y per kg
The cost price is thus;
20 * y = 20y Birr
Now for the selling price;
16 kg was sold at (y + 3/4) Birr per kg
we have here that;
16 * y + 3/4 * 16
= 16y + 12
The rest is thus; 20 - 16 = 4 kg
The rest of this at (y + 1) per kg will be
4 * (y + 1) = 4y + 4
The total selling price is thus;
4y + 4 + 16y + 12 = 20y + 16
The profit is the difference between the selling and cost price
We have this as:
20y + 16 - 20y
= $16