Answer:
D
Step-by-step explanation:
substitute t=-3 in the equation
3(-3) squared +5(-3)+6=18
Step-by-step explanation:
<em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>r</em><em>e</em><em>a</em><em>l</em><em>l</em><em>y</em><em> </em><em>v</em><em>e</em><em>r</em><em>y</em><em> </em><em>s</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>a</em><em>b</em><em>o</em><em>u</em><em>t</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>b</em><em>e</em><em>c</em><em>a</em><em>u</em><em>s</em><em>e</em><em> </em><em>I</em><em> </em><em>c</em><em>a</em><em>n</em><em>'</em><em>t</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>q</em><em>u</em><em>e</em><em>s</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>b</em><em>e</em><em>c</em><em>a</em><em>u</em><em>s</em><em>e</em><em> </em><em>I</em><em> </em><em>c</em><em>a</em><em>n</em><em>'</em><em>t</em><em> </em><em>u</em><em>n</em><em>d</em><em>e</em><em>r</em><em>s</em><em>t</em><em>a</em><em>n</em><em>d</em><em> </em><em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>s</em><em>o</em><em>o</em><em>o</em><em>o</em><em>o</em><em> </em><em>s</em><em>o</em><em>r</em><em>r</em><em>y</em>
x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.
So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.
They need at least $510 to purchase the new gaming station.
Therefore,
12x + 9y ≥ 510
Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.
Therefore,
y ≤ 2x
Also, Fabio will walk at least 25 dogs.
Therefore,
y ≥ 25
Hence, the constraints are:
12x + 9y ≥ 510
y ≤ 2x
y ≥ 25
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
__
<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
see explanation
Step-by-step explanation:
Given
V = πr²h ( isolate h by dividing both sides by πr² )
= h
When V = 36π , r = 3 , then
h = 
= 
= 4 cm
