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Ivenika [448]
3 years ago
15

Write a quadratic equation in standard form with roots -2 and -5

Mathematics
1 answer:
patriot [66]3 years ago
7 0
To solve this problem. First lets work our way backwards and try to figure out the binomials that will result in these roots.

-2 root = X int = -2
Thus it would be (X +2) because if you solve for x the solution or X intercept is -2.
Same thing for -5.
(X+5).

Next place them together and multiply or foil to obtain the quadratic.

Y = (X+5)(X+2)
Y = X^2 + 7x + 10

Standard form = Ax^2 +/- Bx +/- C = 0.

The standard form is X^2 + 7x + 10.
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A town government is designing a new bus system. The planners are deciding where to put the different bus stops. They want to pi
bezimeni [28]

Answer:

Optimisation Problem

Explanation:

Optimisation Problem is a mathematical economics, computer science problem - which finds the best solution from all feasible solutions (based on constraints & other aspects).

The problem might be in form of maximisation or minimisation. The bus system designing is based on minimizing walking distance. Thus is an optimisation problem.

3 0
3 years ago
How do you factor the expression<br> 20k+50
Aliun [14]
Answer is 10(2k+5)

-----------------------------------

Work Shown:

20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)

Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer

Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
4 0
3 years ago
Read 2 more answers
Can someone help me on this? I don’t need an explanation just the answers because I can work backwards. Thank you!
shutvik [7]

Answer:

a. t

b. a (or x = a)

c. r

d.

1) c

2) t

3) a

4) p

Step-by-step explanation:

a. Draw vertical line passing through the point (c,0). This line intersects the graph at point L. Point L has coordinates (c,t), so

f(c)=t

b. If f(z)=p, draw the horizontal line passing through the point (0,p). This line intersects the graph at point K with coordinates (a,p), so x=a.

c. Note that f(b)=0, then

z=0\\ \\f(z)=f(0)=r

d. Coordinates of point L are (c,t), coordinates of point K are (a,p)

4 0
3 years ago
2000 is what bigger than 2?
Leya [2.2K]
It is 1,998 bigger than 2.
7 0
3 years ago
Whitch is greater -8 or +8
finlep [7]
+8 is the greatest then -8
8 0
3 years ago
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