All categories

3 years ago

Use the rational zeros theorem to write a list of all potential rational zeros. f(x) = x3 - 7x2 + 9x - 24

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

±1,±2,±3,±4,±6,±8,±12,±24

...........................

You might be interested in

List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, orig

qwelly [4]

There are 3 x intercepts
(-2, 0) (0, 0) and (2, 0)

There is a y intercept at (0, 0)

Symmetric about x axis: No

Symmetric about y axis: No

Symmetric about the origin: Yes

7 0

3 years ago

Solve 3(x - 4) = 11x

Ivanshal [37]

Answer:

$x = \frac{-3}{2}$

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

$\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\$

Simplify fraction:

$x = \frac{-12}{8}$

$x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}$

Hope this helps!

7 0

3 years ago

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures $6\frac34$" by $4\frac12$" on the drawing, how

erma4kov [3.2K]

If the room is (6/34)" by (4/12)" on the drawing, the bedroom is (12/19)' by (4/3)'

7 0

3 years ago

Im quite behind and i dont know how to do this.. thank you

Naddik [55]

Answer:

455 ( I think )

Step-by-step explanation:

Lets start with the red shape.

The triangle on top is 5x3, and the equation for a triangle is base•height•1/2

So each triangle equals 7.5, as 15/2=7.5. Remember there are 2 triangles so the total of both triangles is 15.

The front side of the red shape is 6x5, which equals 30.

Same with the back.

The side though, is 3x6, which equals 18.

So 15 (both triangles)+60 (the front and back of the shape)+18 (the side)= 93

The red shape is 93 inches cubed.

The green shape is a rectangular prism.

The sides, are both 3x7, which equals 21. Remember there are 2 sides so together they equal 42.

The next part is 3x16= 48. There are 2 of these so it equals 96.

The top and bottom is 7x16=112, which is 224.

42 (sides) + 96 (front and back) + 224 (top and bottom)= 362

The green shape is 362 inches cubed.

362+93=455 inches cubed as a total

(I think)

4 0

3 years ago

John and Tyrone each go for a morning jog before work. John's jogging pace

hram777 [196]

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

$y = 5x$ --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,12)$

Calculate the slope (m); i.e. unit rate

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{12 - 0}{2 -0}$

$m = \frac{12}{2}$

$m = 6$

For John, we have:

$y = 5x$

A linear equation is represented as:

$y = mx+ c$

Where m represents the unit rate. So, by comparison;

$m = 5$

$m = 5$ --- John unit rate

$m = 6$ --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

5 0

3 years ago