Factor x ^ 3 - 4x ^ 2 + 7x - 28 by grouping. What is the resulting expression?

O (x ^ 2 + 7)(x - 4)

O (x ^ 2 - 7)(x + 4)

O (x ^ 2 + 4)(x - 7)

O (x ^ 2 - 4)(x + 7)

Answer:

Multiples that are shared by two or more numbers are common multiples.

Step-by-step explanation:

A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.

I hope this helps! ^-^

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

Answer:

[tex]\frac{1}{4} -\frac{1}{12} = \frac{3}{12} -\frac{1}{12} =\frac{2}{12}[/tex]

So hence, Your answer is 2/12

shown above is the other answers

Thanks!

Answer:

Step-by-step explanation:

The exponent is 5, making it 10 to the power of 5. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 5 time(s):

Answer:

828 in²

Step-by-step explanation:

To find the surface area of a triangular prism, you find the area of each side and add them together.

Find the area of each rectangular side:

Side 1 :  9 × 20 = 180 in²

Side 2 : 15 × 20 = 300 in²

Side 3 : 12 × 20 = 240 in²

Find the area of the triangular sides:

Area of a Triangle = [tex]\frac{1}{2}[/tex]bh

As you can see, 9 and 12 both work as the height/base for the triangular sides, so

Δ Side 1 = [tex]\frac{1}{2}[/tex]bh = [tex]\frac{1}{2}[/tex](9)(12) = 54

Δ Side 2 is also 54.

Add the areas of all the sides together:

180 + 300 + 240 + 54 + 54 = 828 in²

Answer:

  20 square units

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to the base.

Here, the base is 5 units and the height is 4 units. These can be seen by counting the grid squares.

  A = bh

  A = (5 units)(4 units) = 20 units²

The area is 20 square units.

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

Answer:

Step-by-step explanation:

From Khan Academy, "Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are."

Answer:

Y = city C - city D = 2.24 ft

2.24 ft / (1.6 ft / 250 mi) = 350 mi  distance between C and D

Note: 250 mi / 1.6 ft = 156.25 mi / ft

156.25 mi / ft * 2.24 ft = 350 mi

Answer: Today isn't Monday.

Step-by-step explanation:

Using the basis of how we must represent data on a graph, we can write:

A) The scale is 1, and the maximum value is 7.

B)

First, we know that the sample has 25 people in it, an we measure the number of brothers, in such a way that the number of brothers/sisters goes from 0 to 5.

Then, the horizontal axis must go from 0 to 4, in such a way that above the 0 we have 3 dots (because 3 students have 0 brothers or sisters), above the 1 we have 4 dots (because 4 students have one brother or sisters), and so on.

7 students have 2 brothers or sisters (that is the largest number) so the vertical axis must go from 0 to 7.

A) The scale of the line plot is 1, each dot represents 1 student. And the greatest value is 7 (for the students with 2 brothers or sisters).

B)

If you want to learn more about plotting data, you can read:

https://brainly.com/question/24461724

Answer:

wheres the graph

Step-by-step explanation:

Answer:

reduction

Step-by-step explanation:

This image shows a reduction of the triangle because the original image of the triangle has a side of 3.4. The image on the right has a shorter length: 1.7. From the information that is given, the image shows reduction.

[tex] the \: slope \: is \: \frac{15}{4} \: or \: 3.75 \\ \\[/tex]

[tex]using \: the \: slope \: fourmula \: = \\ \\ m = \frac{y {}^{2} }{x {}^{2} } - \frac{y {}^{1} }{x {}^{1} } \\ \\ plugging \: in \: our \: points \: = \\ \\ m = \frac{5}{ - 1} - \frac{ - 10}{ - 5} \\ \\ = \frac{5}{ - 1} + \frac{10}{5} \\ \\ [/tex]

[tex] = \frac{15}{4} \\ \\ = 3.75[/tex]

Answer:

False

Step-by-step explanation:

.34 is smaller than .5 because .5 is 50/100 and .34 is 34/100

working with decimals is different than working with whole numbers.

Answer:

The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour,  So it would take 240 / 27.30909091 hours or 8.78828229 hours.  (Which rounds off to 8.79 hours)

Step-by-step explanation:

Answer:

p = 3/2 ; p = 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length x Width= Area

12 x 12= 144

144in^2

Answer:

2+26= 27

Step-by-step explanation:

sana maka tulong po Ito

Answer:

Given, length, l = 3/8 inches

breadth, b =2/3 inches

We have

area = l × b

= 3/8 × 2/3

= 6/24

Answer:

36%

Step-by-step explanation:

Area of circle is

[tex]\pi {r}^{2} [/tex]

If the radius is decreased by 20%. Then the radius will be

80% of the original radius.

So our radius is 0.8.

So our area is

[tex]\pi(0.8r) {}^{2} [/tex]

[tex]\pi(0.64 {r}^{2} )[/tex]

Since pi is constant, the radius only really matters.

We went from

[tex]1 {r}^{2} [/tex]

to

[tex]0.64 {r}^{2} [/tex]

So our area will decrease by 36%

Proof: Let the radius be 10.

So the area of circle will be

[tex]\pi(10) {}^{2} = 100\pi[/tex]

Let our other radius is 8 because 8 is a 20% decrease of the orginal radius

[tex]\pi(8) {}^{2} = 64\pi[/tex]

Next, we subtract the area to find decrease in area

[tex]100\pi - 64\pi = 36\pi[/tex]

Since pi is constant, we can ignore it so our decrease in area is 36%

Answer:

3,2

Step-by-step explanation:

Answer: A would be the correct answer

Step-by-step explanation: hope it helps

Answer:

1. Even

2. Neither

3. Even

4. Odd

Equations: 1 and 3 are even

Step-by-step explanation:

1. f(-x) = (-x)^4 - (-x)^2

         = x^4 - x^2 Even

2. f(-x) = (-x)^2 - 3(-x) + 2

          = x^2 + 3x + 2 Neither

3. f(-x) = -2

         = -2 Even

4. f(-x) = 5(-x)

          = -5x Odd

I hope this helps!

Answer:

Step-by-step explanation:

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

3x - 4 = 3y + 8 = -2x - 9 = 39

The value of x is 43/3

The value of y is 31/3

The value of z is -24

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

We have,

Rhombus:

All four sides are equal.

So,

3x - 4 = 3y + 8 = -2x - 9 = 39

Now,

3x - 4 = 39

3x = 39 + 4 = 43

3x = 43

x = 43/3

3y + 8 = 39

3y = 39 - 8

3y = 31

y = 31/3

-2z - 9 = 39

-2z = 39 + 9

-2z = 48

z = -24

Thus,

The value of x is 43/3

The value of y is 31/3

The value of z is -24

Learn more about rhombus here:

https://brainly.com/question/12665650

#SPJ2

Answer:

option B

Step-by-step explanation:

hey mate i think it is option B

i hope it  helps

Step-by-step explanation:

length × breadth = x² + 5x - 36

let's find, what expression was multiplied by what expression to give that result.

first we see, we have a pure x² term.

so, both start with (x + ...) or (x - ...).

then we see the last (constant) term -36.

so, we have a

(x + a)(x - b)

situation.

36 is the product of

6×6

9×4

12×3

18×2

the term +5x tells us that the difference between a and b must be 5. and a as the positive number must be bigger to give us the "+" (the multiplication contains "... + ax - bx ...").

and that means a = +9, b = -4

so, the original area calculation was

(x + 9)(x - 4) = x² + 5x - 36

when we decrease both factors by 2, we get

(x + 9 - 2)(x - 4 - 2) = (x + 7)(x - 6) = x² + x - 42

that is the new area of the rectangle.

Using the normal distribution, it is found that P(X = 8) is equals to zero.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Hence, from the last bullet point, it is found that P(X = 8) is equals to zero.

More can be learned about the normal distribution at https://brainly.com/question/24663213