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solmaris [256]
2 years ago
12

-3x^2-6x solve using the gcf

Mathematics
2 answers:
Vladimir [108]2 years ago
6 0

Answer:

x = - 2, x = 0

Step-by-step explanation:

- 3x² - 6x ← factor out - 3x from each term

= - 3x(x + 2)

To solve equate to zero

- 3x(x + 2) = 0

Equate each factor to zero and solve for x

- 3x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

Veseljchak [2.6K]2 years ago
4 0

The GCF for -3x^2-6x is 3x

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The bear population increases at a rate of 2% per year. There are
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A 1400 kg car moving +13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the c
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Answer:

The velocity of the car after the collision is -5.36 m/s

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of the car = 1400 kg

m₂ = mass of the truck = 3200 kg

u₁ = velocity of the car before collision = 13.7 m/s

u₂ = velocity of the truck before collision = 0 m/s

v₁ = velocity of the car after collision

v₂ = velocity of the truck after collision

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

   =  [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)

   = - 5.36 m/s

So, <u>the velocity of the car after the collision is -5.36 m/s</u>

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2 years ago
Mandy has a piece of ribbon measuring 3.2 meters, and Cheryl has a piece of ribbon measuring 4.7 meters. Select the points on th
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A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The
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Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

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Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

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Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

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