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2 years ago

Write the quadratic equation whose roots are −2 and −5, and whose leading coefficient is 4.

Mathematics

2 answers:

pashok25 [27]2 years ago

8 0

Answer:

Step-by-step explanation:

quadratic equation is 4(x+2)(x+5)=0

4(x²+5x+2x+10)=0

4x²+28x+40=0

Anni [7]2 years ago

7 0

Answer:

f(x) = 4(x+2)(x+5)

Step-by-step explanation:

The quadratic function is

f(x) = a(x-b1)(x-b2) where a is a coefficient and b1 and b2 are the zeros

f(x) = a(x --2)(x--5)

f(x) = a(x+2)(x+5)

The leading coefficient is a and we know a =4

f(x) = 4(x+2)(x+5)

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Geometry sucks please help

ehidna [41]

Answer:

a. AB = 3.4 ft

b. AE = 1.6 ft

Step-by-step explanation:

SOH CAH TOA reminds you of the relationship between trig functions and right triangle sides.

a. Cos = Adjacent/Hypotenuse

cos(28°) = BE/BA = 3 ft/BA

Multiplying by BA and dividing by cos(28°), you get ...

BA = (3 ft)/cos(28°) ≈ 3.4 ft

___

b. Tan = Opposite/Adjacent

tan(28°) = AE/BE = AE/(3 ft)

Multiplying by 3 ft, you get ...

AE = (3 ft)·tan(28°) ≈ 1.6 ft

5 0

3 years ago

Plz help for brianly

ozzi

Answer:

190.

Step-by-step explanation:

4 0

2 years ago

I need the equation and steps please!

serg [7]

Let d is the number of days of rental car
At Trinity's Tire World, $50 a day plus $75 fee: 50*d + 75
At India's Auto, $35 a day plus $105 fee: 35*d + 105

To find out after how many days, they both cost the same

50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
d = 30/15
d = 2

Answer: after 2 days, they both cost the same amount of money

Proof:

50*d + 75 = 50*2 + 75 = 100 + 75 = 175
35*d + 105 = 35*2 + 105 = 70 + 105 = 175

Hope that helps

3 0

2 years ago

Factor completely x3 + 8x2 − 3x − 24.

Anna71 [15]

Answer:

Step-by-step explanation:

$x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)$

7 0

3 years ago

O is the centroid. Find the value of x. (Sorry if u cant see the photo :/, but this is Geometry btw)

klemol [59]

Answer: x = 6

==============================================

Explanation:

The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,

OP = 2*MO

and

MP = MO + OP

MP = MO + 2*MO .... replace OP with 2*MO

MP = 3*MO

9x-24 = 3*(x+4) ... plug in the given expressions

9x-24 = 3x+12

9x-3x = 12+24

6x = 36

x = 36/6

x = 6

8 0

3 years ago