What is the value of x?​

Answer:

(x-8)(x+3)

Step-by-step explanation:

Final answer:

To factor the quadratic expression x² - 5x - 24, we find the factors that multiply to -24 and add to -5, which are -8 and 3. Therefore, the factored form of the expression is (x - 8)(x + 3).

Explanation:

To factor the quadratic expression x² - 5x - 24 completely, we need to find two numbers that multiply to -24 (the constant term) and add to -5 (the coefficient of the x term). The numbers that fit this criteria are -8 and 3. So, our expression factors into:

(x - 8)(x + 3)

We can check our factoring by expanding these factors to see if we get the original expression:

(x - 8)(x + 3)
= x² + 3x - 8x - 24
= x² - 5x - 24

Thus, the original expression is correctly factored as (x - 8)(x + 3).

Answer:

24 and 144

Step-by-step explanation:

a = 4

t4 = 864

864 = 4*r^(4 - 1) divide by 4

216 = r^3            Take the cube root of 216

6 = r

Note you can find the cube root of any number by using your calculator.

t2 = a * r^(2 - 1)

t2 = 4 * 6^1

t2 = 24

=================

t3 = a*r^(3 -1)

t3 = 4 * 6^2

t3 = 4 * 36

t3 = 144

Answer

24 and 144

• They're 180°

• Short, thin, or thick

• Could be curved, zig-zag, straight, bent etc.

• Perpendicular

A line is characterized by its length exceeding its width and the path it takes. Its qualities can express emotions and control the viewer's attention, with variations such as curved or angular, smooth or staccato, and different thicknesses. Lines play a crucial role in defining shapes and in expressive forms of writing such as calligraphy.

The characteristics of a line in design are defined by its length being greater than its width and by the paths it takes. A line is essentially a point in motion and is characterized by how it is used in art to determine motion, direction, and energy. When speaking of the qualities of a line, we refer to its character which can animate a surface. Lines can be curved or angular, and can progress smoothly or with a staccato rhythm, and they can be thick or thin, pale or bold.<\/p>

Lines have an emotional and expressive content that is understood both rationally and emotionally; they can control the viewer's attention and direction. Different types of lines like outline or contour line define shapes. Moreover, lines are integral to objects and writing symbols, where they denote meaning and can be expressive in themselves, illustrating their significance in calligraphy and other forms of art.<\/p>

Gestures are also related to lines, where a line produced by the artist's movement can be interpreted in various ways, like conveying calm with evenly drawn horizontal lines or rigidity with straight lines, which can be impactful depending on the context.<\/p>

Answer:

2. y = 25 km

Step-by-step explanation:

To find the dimensions, write a proportion. A proportion is an equation of ratios.

[tex]\frac{scale}{factor} = \frac{Actual}{Model}[/tex]

Then solve for the unknown value by cross multiplying.

2. [tex]\frac{2}{5} = \frac{10}{y}[/tex]

2y = 5*10

2y = 50

y = 25

Explanation:

When looking at x on number lines, x is represented by the bold line. The x value can be anything on the bold line and therefore the line must respect the restrictions of x.

This question says -2 ≥ x which means "-2 is greater than or equal to x". Inversely, this also means that x is less than or equal to -2 because the original question can also be written as x ≤ -2. So, we are looking on the number line for the bold line that starts at -2 and continues to the left of -2, where the numbers that are less than -2 will be found.

The correct answer would be B.

Hope this helps!

Answer:

[tex]\large\boxed{y+3=\dfrac{3}{2}(x+4)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

We have

[tex]m=\dfrac{3}{2},\ (-4,\ -3)[/tex]

Substitute:

[tex]y-(-3)=\dfrac{3}{2}(x-(-4))\\\\y+3=\dfrac{3}{2}(x+4)[/tex]

Hey there!

Let's start by adding 5 to both sides. This eliminates the -5.  

1 = r/20

Now to solve for r we can multiply both sides by 20.

20 = r

Check

-4 = 20/20 - 5

-4 = 1 - 5

-4 = -4

Your answer is r = 20.

Hope this helps!

Answer:

Step-by-step explanation:

-4 = [tex]\frac{r}{20}[/tex] - 5

⇒ -4 + 5 = [tex]\frac{r}{20}[/tex]

⇒ 1 = [tex]\frac{r}{20}[/tex]

⇒ 1 × 20 = r

⇒ 20 = r

Answer:

116 cm²

Step-by-step explanation:

The area of a circle = πr² ← r is the radius

shaded area = external area - internal area

                      = π × 6.5² - π × 2.3²

                      = π( 42.25 - 5.29)

                      = π × 36.96 ≈ 116 cm²

Answer:

Step-by-step explanation:

Area of a circle = πr²

Shaded area = External area - Internal area

                      = π × 6.5² - π × 2.3²

                      = π × (42.25 - 5.29)

                      = π × 36.96 = 116.113 cm²

Answer:7/8

Step-by-step explanation:

7 divided by 8 = 7/8

if you split that with 8 people, you multiply 7/8 and 8, and you'll get 7, which is the number of soup cans you started with.

Answer:

Step-by-step explanation:

Plug x for y and y for x.

y = 2x^2 + 2

x = 2y^2 + 2

Then isolate the y variable.

x - 2 = 2y^2

sqrt(x - 2) = 2y

(sqrt(x - 2))/2 = y

The image would be (-1, 5)

Answer:

Step-by-step explanation:

55-20 is less than or equal to (d)

i think...

Answer:

The solution would be d ≥ 75

Step-by-step explanation:

To find this we know that we have at least 55, which can be modeled as:

d ≥ 55

And then we need to add 20

d ≥ 55 + 20

d ≥ 75

Answer:

what is her error?

Step-by-step explanation:

Answer:

Do you have a picture?

Answer:   [tex]\bold{\dfrac{-2\pm \sqrt{22}}{3}}[/tex]

Step-by-step explanation:

[tex]3x^2+4x-6=0\quad \rightarrow \quad a=3,\ b=4,\ c=-6\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(4)\pm \sqrt{(4)^2-4(3)(-6)}}{2(3)}\\\\\\.\ =\dfrac{-4\pm \sqrt{16+72}}{2(3)}\\\\\\\\.\ =\dfrac{-4\pm \sqrt{88}}{2(3)}\\\\\\\\.\ =\dfrac{-4\pm 2\sqrt{22}}{2(3)}\\\\\\\\.\ =\dfrac{-2\pm \sqrt{22}}{3}[/tex]

a. Angles ABC and CBD are supplementary, so you know that [tex]m\angle ABC=180^\circ-24^\circ=156^\circ[/tex]

The interior angles of any triangle sum to 180 degrees in measure, so that [tex]m\angle ACB=180^\circ-156^\circ-16^\circ=8^\circ[/tex].

By the law of sines, we then have

[tex]\dfrac{\sin8^\circ}{7600\,\mathrm{ft}}=\dfrac{\sin16^\circ}{BC}\implies BC=\dfrac{(7600\,\mathrm{ft})\sin16^\circ}{\sin156^\circ}\approx15052\,\mathrm{ft}[/tex]

b. In triangle BCD, we have

[tex]\sin24^\circ=\dfrac{CD}{BC}[/tex]

and so

[tex]CD=\sin24^\circ\dfrac{(7600\,\mathrm{ft})\sin16^\circ}{\sin8^\circ}\approx6122\,\mathrm{ft}[/tex]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

[tex]P=\frac{x}{y}[/tex]  

In this problem

The probability of choose a blue card is

[tex]x=7[/tex]

[tex]y=7+4+6+8=25[/tex]

substitute

[tex]P=\frac{7}{25}[/tex]

The probability of choose a green card is

[tex]x=4[/tex]

[tex]y=7+4+6+8=25[/tex]

substitute

[tex]P=\frac{4}{25}[/tex]

The probability of choose a red card is

[tex]x=6[/tex]

[tex]y=7+4+6+8=25[/tex]

substitute

[tex]P=\frac{6}{25}[/tex]

The probability of choose a yellow card is

[tex]x=8[/tex]

[tex]y=7+4+6+8=25[/tex]

substitute

[tex]P=\frac{8}{25}[/tex]

The sum of the probabilities of the 4 possible outcomes  is equal to

[tex]\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}[/tex] ----> represent the 100%

When repetition is allowed, there can be 64 different 3-letter words made from the letters 'FGHI'. When repetition is not allowed, there can be 24 different 3-letter words made from those letters.

In this question, we are asked to find the number of 3-letter words that can be made from the letters 'FGHI' with and without repetition. When repetition is allowed, each letter can be chosen independently for each position, so we have 4 choices for each position. Therefore, the total number of words is 4*4*4 = 64. When repetition is not allowed, each letter can only be used once, so we have 4 choices for the first position, then 3 choices for the second position, and finally 2 choices for the third position. Therefore, the total number of words is 4*3*2 = 24.

https://brainly.com/question/29594564

#SPJ12

Answer:

Step-by-step explanation:

AThe shortest column of the line plot

BThe shortest bar of the bar graph

CThe column farthest to the left on the line plot

DThe average bar height of the bar graph

Answer:

The shortest column of the line plot

Answer:

yes

Step-by-step explanation:

sum:

• `x+y=6`

• `y=6-x`

Difference:

• `y-x=6`

• `y=x+6`

Answer:

yes 12-6 has a difference of 6 and a sum of 6

Step-by-step explanation:

Answer:the answer is -7

Step-by-step explanation:

156=2b+5(-8-6b)

2b+5(-8-6b)

expand 2b+5(-8-6b) ---> -28b-40

-28b-40=156

add 40 to both sides

-28b-40+40=156+40

simplify

-28b=196

divide both sides by -28

(-28b/-28b) = (196/-28b)

simplify

b=-7

Answer:

[tex]\large\boxed{y=3(x-2)^2-8}[/tex]

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

[tex]h=\dfrac{-b}{2a},\ k=f(h)[/tex]

We have the equation:

[tex]y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4[/tex]

Substitute:

[tex]h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8[/tex]

Finally:

[tex]y=3(x-2)^2+(-8)=3(x-2)^2-8[/tex]

Answer:

Explanation given below.

Step-by-step explanation:

The first step is to put the parabola in the form  [tex]ax^2+bx+c[/tex] , which is the standard form of a parabola

Note: a is the coefficient before x^2 term, b is the coefficient before x term, and c is the independent constant term

The axis of symmetry divides the parabola symmetrically. The axis of symmetry has the equation  [tex]x=-\frac{b}{2a}[/tex]

Where a and b are the respective values shown above

So, that is how you get the axis of symmetry of any parabola.

Answer:

The equation of the axis of symmetry of the parabola is x = h,

 where h is the x-coordinate of the vertex point

Step-by-step explanation:

* The axis of symmetry is the line which divides the

 shape into two congruent parts

* The general form of the quadratic equation is:

 ax² + bx + c = 0

* The quadratic equation is represented graphically by parabola

∵ The parabola has minimum point or maximum point

∴ The axis of symmetry of the parabola is passing through this point

   This point is called the vertex point or the turning point

- Lets find this point:

* the x-coordinate of this point calculated from the equation

 x- coordinate of the vertex point h = -b/2a

- where b is the coefficient of x and a is the coefficient of x²

∴  The equation of the axis of symmetry of the parabola is x = -b/2a

EX:

- If ⇒ x² - 4x + 4 = 0

∵ a = 1 , b = -4

∴ h = -(-4)/2(1) = 2

∴ The equation of the axis of symmetry of the parabola is x = 2

The graph show you the axis of symmetry

Answer:

8

Step-by-step explanation:

6 / .75(3/4)

Answer:

60 / 120 is terminating, the rest are repeating.

Answer:

56/72 is repeating, 21/22 is repeating, 11/121 is repeating, and 60/120 is terminating

Step-by-step explanation:

Answer:

[tex]\large\boxed{Q1.\ x>1}\\\boxed{Q2.\ x>1}\\\boxed{Q3.\ x\leq-3}[/tex]

Step-by-step explanation:

[tex]Q1.\\7x+3>10\qquad\text{subtract 3 from both sides}\\\\7x+3-3>10-3\\\\7x>7\qquad\text{divide both sides by 7}\\\\\dfrac{7x}{7}>\dfrac{7}{7}\\\\\boxed{x>1}\\\\Q2.\\-3+5x<7x-5\qquad\text{add 3 to both sides}\\\\-3+3+5x<7x-5+3\\\\5x<7x-2\qquad\text{subtract 7x from both sides}\\\\5x-7x<7x-7x-2\\\\-2x<-2\qquad\text{change the signs}\\\\2x>2\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}>\dfrac{2}{2}\\\\\boxed{x>1}[/tex]

[tex]Q3.\\-2x+5\geq3x+20\qquad\text{subtract 5 from both sides}\\\\-2x+5-5\geq3x+20-5\\\\-2x\geq3x+15\qquad\text{subtract 3x from both sides}\\\\-2x-3x\geq3x-3x+15\\\\-5x\geq15\qquad\text{change the signs}\\\\5x\leq-15\qquad\text{divide both sides by 5}\\\\\boxed{x\leq-3}[/tex]

x>1

x>1

X>-3

Step-by-step explanation:

Answer:

[tex]\large\boxed{d=\sqrt{29}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (2, 4) and (7, 2). substitute:

[tex]d=\sqrt{(7-2)^2+(2-4)^2}=\sqrt{5^2+(-2)^2}=\sqrt{25+4}=\sqrt{29}[/tex]

Answer:

Vf = 118.365 m3

Step-by-step explanation:

Vcil = Pi*[(20)^2]*(100=

Vcil = 125.600 m3

Vesf = (4/3)*Pi*(12)^3

Vesf = 7235 m3

Then

Vf = Vci - Vesf

Vf = 125.600 - 7235

Vf = 118365 m3

Best regards

Answer: The meadian of a data set is the number in between all of the numbers.

Step-by-step explanation: For example, you havent put any numbers so ill just use 1-10. so you first list all the numbers in order, grom smallest to biggest. then find the muddle number

Final answer:

To determine the median of a data set, arrange the data in ascending order and find the middle value for an odd number of data, or the average of the two middle numbers for an even number of data. The median is resistant to outliers and splits the data set into two equal halves.

Explanation:

To determine the median of a data set, you need to arrange the data in ascending order first. If the number of data values is odd, the median is the middle value. For example, in a set of 11 data values, the 6th number would be the median. If the number of data values is even, the median is the average of the two middle values. For instance, if a data set has 14 values, you would take the average of the 7th and 8th values after arranging the data.

To find the median in a data set with even number of values, such as 14, add the two middle values, 6.8 and 7.2, together and then divide by two, yielding a median of 7.0. It's important to note that the median separates the data into two equal halves, where half the values are same or smaller than the median, and the other half are same or larger.

When a data set contains extreme values or outliers, the median can be particularly useful as it is not influenced by these extreme values, unlike the mean.

Answer:

40 m

Step-by-step explanation:

A= b(h)

A= 8(5)

A= 40 m

Answer:

It is a parallelogram and the area is 40.

Step-by-step explanation:

The area of a parallelogram is a=bh.

The base is 8 and the height is 5. All you do is times 8 and 5 to get 40.