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2 years ago

If-1 is a root of f), which of the following must be true?

Mathematics

1 answer:

ANEK [815]2 years ago

6 0

Answer:

A factor of f(x) is (x + 1).

Step-by-step explanation:

When we put x+1= 0 then we get the value x= -1

This value is then put into the function to find out whether it is a root or not. For a root to exist it must not have a remainder or the remainder must be zero.

Suppose the function is

F(x)= 2x³ - 42x - 40

f(-1)= 2(-1)³ - 42(-1) - 40

f(-1)= -2 + 42- 40

f(-1)= 0

This gives -1 as the root of the function.

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What is m A.55° B.58° C.122° D.125°

Andreyy89

Answer: k = 55 degrees

Step-by-step explanation:

to find J, subtract 122 from 180, you get 58. The total number of degrees is 180. Since L is given as 67, and 67+58=125. Simply subtract 125 from 180 which is 55 degrees

5 0

3 years ago

ILL GIVE MORE BRAINLY IF YOU GIT IT RIGHT PLS END OF 1/4 IS TODAY

aivan3 [116]

Answer:

Step-by-step explanation:

Just use similar triangles.

12/10 = 72/x

Now solve for x.

x = 72 * 10 / 12 = 60

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3 years ago

A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Kitty [74]

Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

$(n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}$

All interior angles in regular pentagon are of equal measure, so

$\dfrac{540^{\circ}}{5}=108^{\circ}$

Thus, the measure of each angle formed by the lights on the perimeter is 108°.

7 0

3 years ago

The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in d

IceJOKER [234]

Picture of the question is attached below.

Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.

Step-by-step explanation:

The model depicted by the line equation:

y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.

-5.9x approximately -6x decrease for every 10F temperature increase.