Answer:
y = -4x+5
Step-by-step explanation:
I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5
Using linear and composite functions, it is found that the x-intercept of g(h(x)) is
, given by option B.
-------------------------------
The equation of a line is:

In which:
- m is the slope.
- b is the y-intercept.
Function g:
- Two of the points are (-6,16) and (-4,10).
- The slope is given by <u>change in y divided by change in x</u>, thus:

Thus:

Point (-4,10) means that when
, and we use this to find b, so:



Then

Function h:
- Two of the points are (-6,-11) and (-4,-7).
- The slope is:

Thus:

Point (-4,-7) means that when
, and we use this to find b, so:



Then

The composite function is:

The x-intercept it the zero of the function, thus:



Which is option B.
A similar problem is given at brainly.com/question/21010520
3 cats can catch 3 rats in 3 minutes ==> 1 rat per minute.
It takes 3 cats to catch 1 rat per minute.
100 rats in 100 minutes ==> 1 rat per minute
The same <u>3 cats</u> can do it, if they don't wear out and take naps.
correct answer is option d.
<u>Step-by-step explanation:</u>
Here, we have The following expression to check Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2 :
<u>a. x3 + 3x2 − 5x − 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>b. x3 + 2x2 − 3x − 6
</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒ 
. So, this isn't the one. We move on further!
<u>c. x3 − 3x2 − 5x + 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>d. x3 − 2x2 − 3x + 6</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒
= 0.
Therefore, correct answer is option d.
L= 3w
2(3w + w) = 112
6w + 2w = 112
8w = 112
W= 14
The greatest possible value for width is 14