Is this graph discrete or continuous

The answer is c.

If you have a root (a), it can also be written as (x-a).

(x+6),(x-1),(x-4)

Multiply all of them together to get the equation

(x+6)(x-1)(x-4)=

(x2-x+6x-6)(x-4)=

(x2+5x-6)(x-4)=

(x3+5x2-6x-4x2-20x+24)=

x3+x2-26x+24

To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.

Finding the Polynomial with Given Roots

To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:

(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)

Let's expand and simplify:

x3 - 5x2 - 21x + 24

Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.

To estimate the height of a mountain using angles of elevation from two points, set up a system of trigonometric equations based on right triangles and solve for the height using algebra.

To estimate the height of a mountain given two angles of elevation at different points, we use trigonometric concepts. At the first point, the angle of elevation is 32°, and at a point 1000 feet closer, the angle is 35°. To solve this, we can set up two right triangles that share the same height (the mountain) but have different base lengths. Denote the height of the mountain as h, the distance from the first observation point to the base of the mountain as d, and use the trigonometric tangent function:

Tan(32°) = h / d

Tan(35°) = h / (d - 1000)

This creates a system of two equations with two variables. We solve for h by manipulating the equations to isolate h and substituting into one of the equations. We can use trigonometric tables or a calculator to find the values for Tan(32°) and Tan(35°), and then solve for the distance d, which subsequently allows us to find the height h by simple algebraic rearrangement.

The amount of the original bill at johnny rockets was $32.50.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let a represent the total bill.

You and four friends split the bill equally. each person share was $6.50. Hence:

a / 5 = 6.50

a = 32.5

The amount of the original bill at johnny rockets was $32.50.

Find out more on equation at: https://brainly.com/question/2972832

[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]

Answer:

the answer is 13/3  ÷ ( - 5/6 )  my luv :)

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hope i helped ! < 33

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                                         the crown under my answer :)

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H A V E  A N I C E D A Y MY L U V  :)

Step-by-step explanation:

the distance between the R and the T is

4 units

If an apartment has  972 square feet of carpeting then from conversion we can say that it has 90 square meters.

Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.

We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.

972 square feet=972/10.8

=90 square meters.

Hence if an apartment has  972 square feet of carpeting then from conversion we can say that it has 90 square meters.

Learn more about conversion at https://brainly.com/question/97386

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Answer:

The area of the square:

a = l²

The volume of a cube:

v = s³

d +q = 26

d=26-q

1d +0.25q = 17

1(26-q) +0.25q = 17

26 -q +0.25q = 17

26-0.75q = 17

-0.75q = -9

q = -9 / -0.75 = 12

 12 quarters and 14 dollars

check 12 * 0.25 = 3

3+14 = 17

Answer:

[tex]\$60[/tex]

Step-by-step explanation:

Let

x------> the cost of the barrel of oil before the increase

we know that

[tex]100\%+20\%=120\%[/tex]

[tex]120\%=\frac{120}{100} =1.2[/tex]

so

[tex]1.2x=72[/tex]

Solve for x

[tex]x=72/1.2=\$60[/tex]