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Alona [7]
3 years ago
6

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

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

  = 4(x² + 9x + 20)

  = 4x² + 36x + 80

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Suppose there are eight different management trainee positions to be assigned to eight employees in a company’s junior managemen
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Estimate the quotient of 900.37 and 29.8. 3 9 30 90
vesna_86 [32]

Answer:

30

Step-by-step explanation:

Quotient means were dividing, so divide 900.37 by 28.9

900.37/28.9=30 rounded up.

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Hope this helps!

7 0
3 years ago
Read 2 more answers
A B R and P are four points on a circle with centre 0. A O R and C are four points on a different circle. The two circles inters
Slav-nsk [51]

Answer:

x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)

Step-by-step explanation:

APRB form a cyclic trapezoid

∠APO  = x° (Base angle of an isosceles triangle)

∠OPR  = ∠ORP (Base angle of an isosceles triangle)

∠ORB = ∠OBR (Base angle of an isosceles triangle)

∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)

Similarly;

∠ORB + ∠ORP + x°  = 180°

Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR  = ∠ORP we put

We also have;

∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)

Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR

Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.

6 0
3 years ago
I need help can somewon help me?
Y_Kistochka [10]

Answer:

1. Lin raised $40

2. Jada raised $20

3. Andre raised $60

Step-by-step explanation:

1. It says Lin raised 100% of her goal and the goal was $40 which means that she earned $40

2. For this one it says Jada raised only 50% of her goal. To solve this one you just take half of 40 since it says she raised only 50% of her goal which gets you 20

3. For this one you just have to do some adding. The first part of the problem you take away the 50% of the 150% for a minute and that just leaves 100% which is a total of 40$ you then just look at the 50% by itself which is 20$. Then you take 40 and add the 20 to it which gets you a total of 60$

have a great day! :)

3 0
2 years ago
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