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drek231 [11]
3 years ago
10

Which of the following is the complete list of roots for the polynomial function (x)= (x2+bx+3)(x+6x+13)?

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

if i got you question right then its x=(-13/7) x=(-3/(2+b))

Step-by-step explanation:

to find the roots you need to make it equal to 0.

(x+6x+13)(2x+bx+3) =0

(7x+13)((2+b)x+3) =0

now there are 2 cases:

-> 7x+13=0 7x=(-13) x=(-13/7) solved

-> (2+b)x+3=0 (2+b)x=(-3) x=(-3/(2+b)) solved

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
3 years ago
Can someone help my cousin? hes in 5th grade and im not sure if im right with this question. :)
agasfer [191]

Answer: 2.25 = 18.90

Step-by-step explanation: Hope This Helps

7 0
3 years ago
If a spider can move 4/5 of a mile every hour how many hours would it take for the spider to go 4 miles
Mademuasel [1]

Answer:

18 miles

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
 if angle RZT=110, angle RZS=3s, and angle TZS=8s, what are angle RZS and angle TZS?
skelet666 [1.2K]
8s-3s=5s
5s=110
Divide both sides by 5 => s=22
RZS = 3s = 3(22) = 66
TZS= 8s = 8(22) = 176
7 0
3 years ago
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