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3 years ago

The graph of the function f(x)= -(x+3)(x-1) is shown below. What is true about the domain and range of the function?

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

The domain is all real numbers, and the range is all real

numbers less than or equal to 4.

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined

We are given $f(x)= -(x+3)(x-1)$

f(x) is defined for all real values of x since there are no restrictions on the value of x

So,The domain of the function is all real numbers

Range of the function is the set of all values that f takes.

So, Range of given function is all real numbers less than or equal to 4.

Hence The domain is all real numbers, and the range is all real numbers less than or equal to 4.

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solve the following systems of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the

kodGreya [7K]

If you multiply the top equation by -2 you get:

-4x -14y = 14 => -4x = 14+14y

now you can plug in the -4x into the second equation:

14+14y - 3y = -19 => 11y = -33 => y=-3

Fill in y=-3 in either equation to find x:

2x - 21 = -7 => 2x = 14 => x=7

So your ordered pair is (7,-3)

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3 years ago

A halloween assorted bag of candy contains 4 Snickers, 2 packages of M&M's, & 3 Butterfingers. What is the probability o

a_sh-v [17]

Answer:

2/27

Step-by-step explanation:

In the question we have:

4 snickers

2 packages of M&M's

3 Butterfingers.

Total number of candies in the Halloween bag = 9

Probability of selecting some M&M's and putting them back = 2/9

Probability of selecting a Butter finger = 3/9

Therefore, the probability of selecting some M&M's, putting them back, and then selecting a Butterfinger =

Probability of selecting some M&M's and putting them back × Probability of selecting a Butter finger

2/9 × 3/9

= 6/ 81

= 2/27

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3 years ago

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3 years ago

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What is 4,000+100+80+5 in word form?

Sphinxa [80]

Answer:

Step-by-step explanation:

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3 years ago

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If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha

Tomtit [17]

Answer:

39.0625 ft

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.

The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50

To find the x coordinate of the vertex, use x = -b/(2a)

We have x = -50/[2(-16)]

x = -50/-32

x= 25/16

Now plug that into the equation to find the y value, which will be the height...

y = 50(25/16) - 16(25/16)²

y = 1250/16 - 16(625/256)

y = 1250/16 - 625/16

y = 625/16

y = 39.0625

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3 years ago