Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answer:

(

−

5

)

(

−

4

)

Step-by-step explanation:

Not 100 percent sure

Answer: 4

Step-by-step explanation:

First create numbers into an improper fraction.

-10/3 * (-3) 2/5

Then solve it using pemdas, resulting into the answer #4

Answer:

11 1/3

Step-by-step explanation:

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Step-by-step explanation:

g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.

f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree

Answer:

I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13

Answer:

y = -3/7x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / 7 - (-7)

-6/14

= -3/7

y = -3/7x + b

2 = -3/7(7) + b

2 = -3 + b

5 = b

Answer:

Step-by-step explanation:

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Answer:

X = -20

Step-by-step explanation:

X = -2(6+4)

            ^ add 6 and 4 together first because they are in parentheses

-2(10)

   ^ this parenthesis means you want to multiply -2 and 10

because 2 x 10 = 20

that must mean -2 x 10 = -20

therefore, the value of X is -20

X= -20

Answer

yc(T)=y"+y'-6y=0

Step-by-step explanation:

Answer:

irrational numbers integers

Answer: C, E, F

Step-by-step explanation:Got it right

Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:

[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]

Given:

We are told to find:

1. Find f(a):

f(a) = 3(a) + 6

f(a) = 3a + 6

2. Find f(a + h):

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

3. Find [tex]\frac{(f(a + h) - f(a)) }{h}[/tex]:

Thus:

[tex]\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\[/tex]

[tex]\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}[/tex]

Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and [tex]\frac{(f(a + h) - f(a)) }{h}[/tex] by substituting their values into f(x) = 3x + 6. We will have the following:

[tex]\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}[/tex]

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https://brainly.com/question/8161429

Answer:

11.28 Divided by 4.7 equals 2.4.

Step-by-step explanation:

It's just simple division. Glad I could help though!

Answer:

2.4

Step-by-step explanation:

Answer:

A. x < 2

Step-by-step explanation:

solution:

=2x<7-3

=2x<4

=x<2

[tex]\large\underline{\sf{Solution-}}[/tex]

First equation is

[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]

can be further simplified to

[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]

[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]

[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]

[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]

[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]

[tex]\rm \longmapsto\:bx = 2ay[/tex]

[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]

Second equation is

[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]

[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]

[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]

[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]

So, we have two equations in simplest form as

[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]

and

[tex]\rm \longmapsto\:x + aby = 10b[/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]

[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]

[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.

Step-by-step explanation:

Using Pythagoras ;

[tex]20=\sqrt{10^{2}+x^{2} } \\20^{2}=10^{2}+ x^{2}\\400 = 100 +x^{2} \\300 = x^{2} \\x =\sqrt{300}[/tex]

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Answer:

The answer for this question is B and C

The answer is B and C

The equation above is in point slope form

y-y1=m(x-x1)

Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)

So thats why B and C is the answer!

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Step-by-step explanation:

subtrack the 4 inbetween the inequalities to both sides.

Answer:

1/5

Step-by-step explanation:

Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:

m = 917x³.

Using the function, the edge length of the block of ice is of 0.4 m.

The density of an object is given by the mass of the object divided by it's volume, as follows:

d = m/v.

Hence the mass of the object is given by the following equation:

m = dv.

For this problem, we have that:

Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:

m = 917x³.

Considering the mass of the block of ice, the length is found as follows:

59 = 917x³

x = cubic root(59/917) -> (59/917)^(1/3) in any calculator

x = 0.4 m.

Using the function, the edge length of the block of ice is of 0.4 m.

More can be learned about the density formula at https://brainly.com/question/11836799

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Answer:

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Step-by-step explanation:

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Answer:

60 cubic centimetres

The maximum  number of pizzas that Mr. Braun can buy is 5.

The equation that can be used to represent the total amount spent on soda pop and pizzas is:

$75 = 5x($0.75) + x($9)

Where:

In order to determine the number of pizzas that can be bought, we have to solve for x

$75 = 3.75x + 9x

$75 = $12.75x

x = $75 / 12.75

x = 5.88

If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:

6($9) + 30(0.75) = $76.50

If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:

5($9) + 25(0.75) = $63.75

A similar question was answered here: https://brainly.com/question/13965560

Answer:

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Step-by-step explanation:

Answer:

Please do every single answer by transposition method..

Step-by-step explanation:

1) 3a=9

=a=9/3

=3

2) 5a=20

=a=20/5

=4

3) 7a=28

=a=28/7

= 4

4) p/2=5

=p=5×2

10

5) p/5=4

=p=4×5

=20

6) p/9=6

=p=6×9

=54

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

Multiply

3/20

Answer:

2^2 * 3^2

Step-by-step explanation:

2 * 2 * 3 * 3

We are multiplying 2 twos and we are multiplying 2 threes 3^2

The base is the number and the exponent is the number of the times

2^2 * 3^2