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3 years ago

Determine the maximum number of zeros and the x-intercepts of the function: (x^2-x-2)(3x-2)

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

Answer:

Step-by-step explanation:

note that zeros and x-intercepts are the same with different names

There are 2 zeros from the quadratic factor and 1 from the linear factor.

To find them equate the function to zero, that is

(x² - x - 2)(3x - 2) = 0

(x - 2)(x + 1)(3x-2) = 0 ← factoring the quadratic

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

3x - 2 = 0 ⇒ x = $\frac{2}{3}$

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nexus9112 [7]

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3 years ago

2(t+1)=10. need the answer for t I got the rest just can't get t

harkovskaia [24]

Answer: $t=4$

Simplify both sides of the equation

$(2)(t)+(2)(1)=10(Distribute)\\2t+2=10$

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4 years ago

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A die is rolled 2 times. What is the probability of getting a 2 on the first roll and a 5 on the second roll?

lisov135 [29]

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

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Hope this is helpful

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3 years ago

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Use a net to find the surface area of the right triangular prism shown:

erma4kov [3.2K]

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

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⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

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2 years ago

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densk [106]

Answer:

The answer is letter E.

Step-by-step explanation:

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