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2 years ago

What is th range of the function?

Mathematics

1 answer:

andrey2020 [161]2 years ago

3 0

Answer:

Option D. [4,9]

Step-by-step explanation:

we know that

The range of a function is the complete set of all possible resulting values of the dependent variable (output values), after we have substituted the domain (input values)

In this problem we have

The domain of the function (input values or independent variable) is the interval [2,3,4]

The range of the function (output variable or dependent variable) is the interval [4,9]

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The product of 4 and a number f decreased by 2 is 15

Debora [2.8K]

Answer: The number is: "2 " .

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Step-by-step explanation:

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Write the expression; which is an equation, as follows:

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" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .

___________________________________________

Note:

If the "number" = "x" ; the "opposite of the number" = " -x " ;

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Rewrite as: " 4x − 12 = -2x " ;

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→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:

4x − 12 + 12 + 2x = -2x + 12 + 2x ;

to get: 6x = 12 ;

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Now, divide each side of the equation by "6" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

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6x / 6 = 12 / 6 ;

to get: x = 2 .

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Answer: The number is: "2 " .

____________________________________________________

Let us check our answer, by plugging in "2" for "x" in our original equation:

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→ " 4x − 12 = 2(-x) " ;

Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

→ " 4(2) − 12 = ? 2(-2) ??

→ 8 − 12 = ? -4 ? ;

→ -4 = ? -4 ?? Yes!

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7 0

2 years ago

Read 2 more answers

Candy takes 57 minutes to deliver all the paper whereas Tim takes 114 minutes. How long does it take them where they work togeth

kow [346]

-- Candy takes 57 minutes to do the whole job ==>
She does 1/57 of the job every minute.

-- Tim takes 114 minute to do the whole job ==>
He does 1/114 of the job every minute.

-- If they work together, they do (1/57 + 1/114) of the job every minute.
We have to add those fractions.

The least common denominator is 114.

   (1/57 + 1/114)

   = (2/114 + 1/114)

   =    3/114 = 1/38 .

Working together, Candy and Tim do 1/38 of the job every minute.

So it takes them 38 minutes to do the whole job together.

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3 years ago

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6

san4es73 [151]

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

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3 years ago

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BaLLatris [955]

Answer:

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Step-by-step explanation:

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2 years ago

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.

MatroZZZ [7]

Answer:

y = $\frac{3}{4\\}$ x + 2

Step-by-step explanation:

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Either count up & over or do y1-y2 / x1-x2 (-4+1)/(-8+4) -3/-4 3/4

The intercept is where it crosses the y-axis, in this case 2

Write the equation like this y = mx + b where m=slope & b=intercept

y = 3/4x + 2

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3 years ago