Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
Here given,
and 
we have to find
which means the subtracting of the functions f(x) and g(x).

= 
= 
=
( we know that multiplication of negative and negative is positive)
= 
=
We have got the required answer here.

<u>5x² + 9x - 1</u><u> is the expression that represents a </u><u>quadratic expression</u><u>.</u>
What is quadratic expression?
- Quadratic expression is an expression with the variable with the highest power of 2.
- The word quadratic is derived from the word quad which means square.
- The expression should have the power of two and not higher or lower.
A quadratic expression is of the form
ax² + bx +c = 0 where a ≠ 0
The give options are-
9x - 2
5x² + 9x - 1
-2x³ + 8x² - 7x +1

From the given options, the only expression which is quadratic is
5x² + 9x - 1
wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1
Therefore, 5x² + 9x - 1 is the expression that represents a quadratic expression.
Learn more about quadratic expression.
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Answer:
Step-by-step explanation:
x² × 2x² = 2x^4 (2x to the power of 4)
x² × -3x = -3x³
+3 × 2x² = 6x²
+3 × -3x = -9x
2x^4 , -3x³ , 6x², -9x
In bold are the bottom two
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125