Answer:
The graph is positive and decreasing for all real values of x where x < -1
Step-by-step explanation:
we have
![f(x)=(x-3)(x+1)](https://tex.z-dn.net/?f=f%28x%29%3D%28x-3%29%28x%2B1%29)
The function is a vertical parabola open up
The roots (x-intercepts) are x=3 and x=-1
The vertex is the point (1,-4 ) is a minimum
using a graphing tool
see the attached figure
we know that
In the interval (-∞,-1) ---> the function is positive and decreasing
In the interval (-1,1) ---> the function is negative and decreasing
In the interval (1,3) ---> the function is negative and increasing
In the interval (3,∞) ---> the function is positive and increasing
therefore
The graph is positive and decreasing for all real values of x where x < -1
the answer for this problem is true
Step-by-step explanation:
true 5-3=2
Answer:
<em>The answer will be:
</em>
Step-by-step explanation:
The given expression is: ![\frac{3}{5}+(-\frac{1}{4}) \frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2B%28-%5Cfrac%7B1%7D%7B4%7D%29%20%5Cfrac%7B7%7D%7B10%7D)
First we need to multiply
and
. So, we will get.......
![\frac{3}{5}+(-\frac{7}{40}) \\ \\ =\frac{3}{5}- \frac{7}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2B%28-%5Cfrac%7B7%7D%7B40%7D%29%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B3%7D%7B5%7D-%20%5Cfrac%7B7%7D%7B40%7D)
Now, we need to make both denominators equal. So.........
![\frac{3\times8}{5 \times 8}-\frac{7}{40} \\ \\ =\frac{24}{40}- \frac{7}{40} \\ \\ =\frac{24-7}{40}= \frac{17}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes8%7D%7B5%20%5Ctimes%208%7D-%5Cfrac%7B7%7D%7B40%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B24%7D%7B40%7D-%20%5Cfrac%7B7%7D%7B40%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B24-7%7D%7B40%7D%3D%20%5Cfrac%7B17%7D%7B40%7D)
So, the answer will be: ![\frac{17}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B40%7D)
2x+5x-11=-46
7x-11=-46
7x=-46+11
7x=-35
x=-5
Answer:
(a - 6)(a + 4)
Step-by-step explanation:
Consider the factors of the constant term (- 24) which sum to give the coefficient of the a- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, thus
a² - 2a - 24 = (a - 6)(a + 4) ← in factored form