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-Dominant- [34]
3 years ago
7

Write the quadratic equation whose roots are -4 and -1 and whose leading coefficient is 5

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

5(x+4)(x+1)

Step-by-step explanation:

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Please answer and show how you did it!
Anna35 [415]
This is a parabola, first, locate the line of symmetry.
the line of symmetry is x=-b/2a
in this case, b=-2, a=-1, so the line of symmetry is x=-1
when x=-1, f(x)=-(-1)²-2(-1)-3=-2  
locate the point (-1,-2) on the grid. this point is the vertex.
get two pairs of points with x=-1 as the symmetry line:
(0, -3) and (-2, -3); (1,-6) and (-3,-6) 
connect these five points into a parabola, stick out at the ends because it will extend forever downward. 
3 0
3 years ago
Marge cuts 16 pieces of tape. each piece is 3/8 inches long. how much tape did she use
hoa [83]
16 x 3/8 so 16/1 x 3/8 = 48/8. 48 divided by 8 is 6. So 6 inches.
3 0
4 years ago
What is 2/5 times -10
maxonik [38]

Answer:

-4

Step-by-step explanation:

2/5 times -10 = -4

6 0
3 years ago
Read 2 more answers
A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
2 years ago
4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp
inysia [295]
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
3 0
3 years ago
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