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ozzi
3 years ago
14

Determine whether −2 is a zero (root) of the function:

Mathematics
2 answers:
lianna [129]3 years ago
5 0

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution          

               f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification          

               f(-2) = 2(-8) + 4 + 20 - 12

               f(-2) = -16 + 4 + 20 - 12

               f(-2) = -28 + 24

               f(-2) = -4

-2 is not a root that the function.

gregori [183]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Using factor theorem

If the remainder is 0, it is a root

2(-2)³ + x(-2)² − 10(-2) − 12

-4

Since the remainder is non-zero, it is not a root

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A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

Equation

y - 2 = -1/5 (x + 5)

y - 2 = -1/5 x - 1

y = -1/5 x + 1

Answer

y = -1/5 x + 1

6 0
3 years ago
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Solve for n.<br> 3/4 x n = 1
cestrela7 [59]
3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3
3 0
3 years ago
A city with a population of 700,000 has been growing at a rate of 2% per year. If this rate continues, what would the population
Mars2501 [29]

Answer:

450,900

Step-by-step explanation:

ok

3 0
3 years ago
A study was conducted of the trend in the design of social robots. In a random sample of 113 social​ robots, 67 were built with
Leno4ka [110]

Answer:

97/113

Step-by-step explanation:

67 robots have legs only, 21 have wheels only, and 9 have both legs and wheels.  The total number of robots with legs and/or wheels is 97.

The probability is 97/113.

4 0
3 years ago
Taylor runs a smoothie shop and is in placing his order for a week.Each week he needs to have 2 gallons of pineapple juice and 4
Goryan [66]

Answer:

For pineapple juice

He need 160 more ounces of pineapple juice.

For orange juice

He needs 352 ounces more of orange juice.

Step-by-step explanation:

1 liquid gallon = 4 liquid quarts

1 liquid quart = 32 fluid ounces

Taylor runs a smoothie shop and is in placing his order for a week.

We are told that:

Each week he needs to have

a) For pineapple juice

2 gallons of pineapple juice

We convert these to quarts and ounces

1 gallons = 4 quarts

2 gallons = 2 × 4

= 8 quarts of pineapple juice

If he already has 3 quarts of pineapple juice

She needs: 8 quarts - 3 quarts

= 5 quarts

Converting these to ounces

1 liquid quart = 32 fluid ounces

5 quarts = x

Cross Multiply

=5 × 32 fluid ounces

= 160 fluid ounces

2) For orange juice

She needs to have 4 gallons of orange juice on hand

We convert these to quarts and ounces

1 gallons = 4 quarts

4 gallons = 4 × 4

=Hence she needs to have: 16 quarts of pineapple juice

If he already has 5 quarts of orange juice

She needs: 16 quarts - 5 quarts

= 11 quarts more

Converting these to ounces

1 liquid quart = 32 fluid ounces

11 quarts = x

Cross Multiply

=11 × 32 fluid ounces

= 352 fluid ounces

8 0
3 years ago
Read 2 more answers
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