Answer:
<em>f(x)=x²-3x-10</em>
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
Answer:
The answer to number 1 is 10. The answer to number 2 is 4-6, inclusive.
The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.
The length x of the middle-length side is ...
c. 5√3
Answer:
-3/8
Step-by-step explanation:
First rewrite -2 2/3 as an improper fraction: -8/3
Now invert this result: -3/8
This is the reciprocal of -2 2/3.
Answer:
(m − 3) (m + 2)
Step-by-step explanation:
m² − m − 6
To factor a quadratic ax² + bx + c, you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The denominators are the coefficients, the numerators are the constants.
Here, a = 1, b = -1, and c = -6.
1. ac = -6
2. Factors of -6 that add up to -1 are -3 and 2.
3. -3/1, 2/1
4. Factors are m − 3 and m + 2.
m² − m − 6 = (m − 3) (m + 2)
