MATHEMATICS HIGH SCHOOL

Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?

Answers

Answer 1

Answer:

Answer:

the largest interval of x values where f(x) is increasing is (-1,1).

Step-by-step explanation:

$f(x)=-x^3+4x+3$

the domain of f(x) is all real numbers.

As we can conclude from the table that the function f(x) is decreasing from (-3, -1) and the function is increasing from (-1, 1) .

Graphically we can also show this that for the x-values in (1,-1) function is increasing.

Answer 2

Answer: The answer
is -1 and 1 in e2020

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Intercepts of 9x^2+9y=81

Answers

$x=0\n \n 9x^2+9y=81\n \n 9.0^2+9y=81\n \n 9y=81\n \n y=(81)/(9)\n \n \boxed{y=9}$

$y=0\n \n 9x^2+9.0=81\n \n 9x^2=81\n \n x^2=(81)/(9)\n \n x^2=9\n \n \boxed{x= \pm 3}$

Five times a number is 40. What is the number?
equation:

n =

Answers

5n = 40
n = 8 (Divide everything by five)

If you need further help just ask.

The function p(x)=x(x-5)(x-2)(x+3) has four zeros. What is the smallest

Answers

Answer: The smallest zero is -3.

Step-by-step explanation:

Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

you can get the zeros by equating each factor by zero
so we have 0 , 5 , 2 , -3
so the smallest one is (-3)

There are 8 red, 5 yellow and 7 green cubes in a box. What is the probability of drawing a yellow cube and then a green cube, if the first cube is not replaced before the second cube is drawn?

Answers

Step 1: find out how many cubes are there in total.
There are 20 cubes total because 8+5+7 = 20

Step 2: find out how many yellow cubes you have.
In this problem you have 5 yellow cubes out of 20 cubes. So you chances of grabbing a yellow cube is 5 out of 20.

Step 3: simplify. You can simplify 5/20 to 1/5. So you have a 1/5 chance of grabbing a yellow cube.

Step 4: now find how many cube are green. You have 7 green cubes. Because you took out one cube and didn't replace it you now have 19 cubes. So you have a 7/19 chance of grabbing a green cube.

Step 5: now multiply 7/19 times 1/5. Please note you can not simplify 7/19 because 7 and 19 are prime numbers.

Answer 7/95 which is roughly around .073 or 7.3%

i think thats a 1 in 20th chance

Chin correctly translated the following phrase into an algebraic expression.“one-fifth less than the product of seven and a number”

Which expression represents Chin’s phrase?
7 n + one-fifth
StartFraction 7 n minus 1 Over 5 EndFraction
StartFraction 7 n + 1 Over 5 EndFraction
7 n minus one-fifth

Answers

Answer: C = b7 + bc

Step-by-step explanation:

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

Answers

Since there are 36 inches in a yard you multiply 12 and 36. That gives you 432 characters per yard.

Answer:

432 characters

Step-by-step explanation:

First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.

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