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Let j(x) = x^2 − 2x + 4. Evaluate the following. (A) j(a). (B) j(3). (C) j(x^2). (D) j(x + 3). (E) j(x + h)?
A.) j(a) = a^2 - 2a + 4
B.) j(3) = (3)^2 - 2(3) + 4 = 9 - 6 + 4 = 7
C.) j(x^2) = (x^2)^2 - 2(x^2) + 4 = x^4 - 2x^3 + 4
D.) j(x+3) = (x + 3)^2 - 2(x + 3) + 4 = x^2 +6x + 9 - 2x - 6 + 4 = x^2 + 4x + 7
E.) j(x+h) = (x + h)^2 - 2(x + h) + 4 = x^2 + 2hx + h^2 - 2x - 2h + 4
What else can I help you with?
If 12 is decreased by twice a number is -7 what is the number?
Let the number be x 12-2x = -7 -2x = -7-12 -2x = -19 x = 9.5
7 less then twice a number?
Let the number be x Twice a number means 2x 7 less than twice a number means 2x-7
What is 4 more than twice a number?
If we let the number be represented as ( x ), then twice the number can be expressed as ( 2x ). Adding 4 to this gives us the expression ( 2x + 4 ). Therefore, 4 more than twice a number is ( 2x + 4 ).
What are two consecutive even integers such that the smaller added to 3 times the larger gives a sum of 22?
Suppose n is the smaller integer. Since it is even, let n = 2x where x is an integer. Then the second integer is 2x+2 So 2x + 3*(2x+2) = 22 2x + 6x + 6 = 22 8x + 6 = 22 Subtract 6 from both sides: 8x = 16 Divide both sides by 4: 2x = 4 So the two integers are 2x and 2x+2 ie 4 and 6
What are the factors of the following trinomial 2x2 plus 7x plus 3?
(2x + 1)(x + 3) are the factors.
How do you evaluate 3m-2x?
5
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5)?
104
Substitute 7 for x and evaluate the expression 9x - 2x?
X = 7 9x - 2x = 49
Replace 7 for x and evaluate the expression 9x - 2x?
X = 7 9x - 2x = 49
What does evaluate 2x for each value of x mean?
to divide
Substitute 6 for x and evaluate the expression below5x plus 2x?
X = 6 5x + 2x = 42
How would you evaluate the indefinite integral -2xcos3xdx?
Integrate by parts: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx Let u = -2x Let v = cos 3x → u' = d/dx -2x = -2 → ∫ -2x cos 3x dx = -2x ∫ cos 3x dx - ∫ (-2 ∫ cos 3x dx) dx = -2x/3 sin 3x - ∫ -2/3 sin 3x dx = -2x/3 sin 3x - 2/9 cos 3x + c
Plato web answer key?
Evaluate the expression below when x = 2.3x2-2x+4
What is the derivative of ln2x?
Let y = ln (2x), let u = 2x. Then:dy/dx = dy/du * du/dx= 1/(2x) * 2= 1/x.
How do you do 2x plus 10?
To perform the operation "2x plus 10," you simply add 10 to the term 2x. This can be expressed as the algebraic expression (2x + 10). If you need to evaluate it for a specific value of (x), substitute that value into the expression and perform the addition.
What is Evaluate Dy 2x 4y 12 3x 5y 14?
To evaluate the expression ( 2x + 4y + 12 - 3x - 5y - 14 ), first combine like terms. This results in ( (2x - 3x) + (4y - 5y) + (12 - 14) ), which simplifies to ( -x - y - 2 ). Therefore, the final simplified expression is ( -x - y - 2 ).
How do you factor the following polynomial 4x2 plus 81-36x?
(2x - 9)(2x - 9)
