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4 years ago

What is the equivalent factored form of 12x4 – 42x3 – 90x2?

Mathematics

2 answers:

AlladinOne [14]4 years ago

8 0

Answer:

The factored form is $6x^2(2x +3)(x-5)$

Step-by-step explanation:

We need to write the equivalent factored form of given expression

Given expression is $12x^{4}-42x^{3}-90x^{2}$

$12x^{4}-42x^{3}-90x^{2}$

Re-write the above expression as,

$6x^2(2x^2 - 7x - 15)$ ......(1)

Now, Factor the $2x^2 - 7x - 15$

$2x^2 +3x-10x - 15$

$x(2x +3)-5(2x+3)$

Take out the common term,

$(2x +3)(x-5)$

Now, put this equation (1)

$6x^2(2x +3)(x-5)$

Therefore,the factored form is $6x^2(2x +3)(x-5)$

andreev551 [17]4 years ago

3 0

12x^4 - 42x^3 - 90x^2 =
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==

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Cuál es el mayor número que cumple con todas las siguientes condiciones? Es menor que 1.000.000, todas sus cifras son números pa

ira [324]

Answer:

El mayor número que cumple con las condiciones dadas es 866.622.

Step-by-step explanation:

Para determinar cuál es el mayor número que es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22, se deben realizar los siguientes razonamientos lógicos:

1) Menor que 1.000.000 = Todos los números desde 0 hasta 999.999.

2)Todas sus cifras son números pares = No puede incluir los número 1, 3, 5, 7 o 9.

3) El 8 (mayor número par disponible) solo está repetido una vez = Debe iniciar con 8.

4) Termina en 22 = 8XX.X22

Con todos los datos planteados, el mayor número que cumple con las condiciones dadas es 866.622.

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3 years ago

The high school tennis team is selling tennis balls to raise $500 for new equipment. They sell the balls for $4 each. A case h

Citrus2011 [14]

Answer:

1.75 cases need to be sold

Step-by-step explanation:

The complete question is

The high school tennis team is selling tennis balls to raise $500 for new equipment.They sell the balls for $2 each.

4).How many cases of tennis balls does the tennis team have to sell in order to raise enough money for new equipment.

Solution

Price of each ball = $4

No. of balls in each package = 3

Total number of balls that need to sold in order to raise $500 is

$\frac{500}{4} = 125$

one package = 3balls

Hence no of packages to be sold

$\frac{125}{3} = 41$ packages and 2 balls or total 42 packages

1 case has 24 packages , thus total number of cases to be sold = $\frac{42}{24} = \frac{14}{8} = \frac{7}{4} = 1.75$

6 0

3 years ago

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

neonofarm [45]

Answer:

Distance is 6.7units to the nearest tenth.

Explanation:

To solve this problem, we the distance formula. And this is given as:

$D = \frac{|a x + b y + c|}{\sqrt{a^2 + b^2}}$

We were given the equation:

y = 2 x + 4

This can also be rewritten as:

y – 2 x – 4 = 0.

Therefore, a = -2, b = 1 and c = -4

Also, we were given the points:

(x, y) = (–4, 11)

Making use of the above formula for distance, we have:

$D = \frac{|-2\times -4 + 1\times 11 + -4|}{\sqrt{-2^2 + -4^2}}$

$D = \frac{15}{\sqrt{5}}$

D = 6.7units (to the nearest tenth)

8 0

3 years ago

Please show all work and not just the answers.

Mars2501 [29]

Answer:

√113

Step-by-step explanation:

As per distance formula:

d = $\sqrt{(x2-x1)^2 + (y2-y1)^2}$

Points are:

A(-4, -3) and B(3,5)

So the distance:

d = $\sqrt{(3+4)^2 + (5+3)^2}$ = $\sqrt{7^2 + 8^2}$ = $\sqrt{49+64} = \sqrt{113}$

Answer is √113

7 0

3 years ago

Read 2 more answers

S Explain how knowing 50 times 4 =200 helps you find 500 times 400.

Lemur [1.5K]

This is an easy way to solve multiplication with alot of zero's
Add only the numbers, then add the sum of the zeros
So with this problem we do this:-
5*4 is 20, plus the zero in the 50, so the answer is 200
Now we can do the other one:-

5*4 is 20, plus the 4 zeros that we removed is 200,000

Hope I helped. :)

3 0

3 years ago