No, the expressions –0.5(3x 5) and –1.5x 2.5 are not equivalent.
Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.
Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
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f(x) = (x + 5)(x - 1)
using the ' factor theorem '
given x = a is the root of a polynomial then (x - a ) is a factor
here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)
the polynomial is the product of the factors
f(x) = (x + 5)(x - 1)
Answer:
y= -4/3x
Step-by-step explanation:
hope this helps :)
Step-by-step explanation:
Given that,
The length of a wire, L = 48 m
Current in the wire, I = 18 A (west to east)
The magnetic field in the wire, B =
(towards south)
The magnetic force acting on the wire is given by :

Using right hand rule, the direction of magnetic force is upwards.
6x² - 5x + -21 = 0
Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.
(3x - 7)(2x + 3) = 0
I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.
Then, take each equation and make it equal zero.
3x - 7 = 0 AND 2x + 3 = 0
3x - 7 = 0
Add 7 to both sides.
3x = 7
Divide both sides by 3.
x = 7/3
Now, we do our second equation.
2x + 3 = 0
Subtract 3 from both sides.
2x = -3
Divide both sides by 2.
x = -3/2
So, x = 7/3 AND x = -3/2
So, your answer is C) x = 7/3, x = -3/2
~Hope I helped!~