PLEASE HELP ILL GIVE YOU FIVE STARS!!!!!!!!!!!!!!!!
Solve the inequality for x.
4 − 2x < 8
1. x > 2
2. x < 2
3. x > −2
4. x < −2

The top of ladder is moving down the wall at the rate of 1.375 ft/sec .

In the given question we have to find how fast is the top of the ladder moving down the wall.

Let the distance between floor and top point of ladder = x

the distance between wall and bottom point of ladder = y

Using Pythagorean law,

x^2+y^2 = (12)^2

x^2+y^2 = 144.....................(1)

Differentiating with respect to t:

d/dt (x^2+y^2) = d/dt (144)

2xdx/dt+2ydy/dt = 0

Given that

dy/dt = 3

So 2xdx/dt+2y*3 = 0

2xdx/dt+6y= 0

dx/dt = - 3y/x

Using (1):

dx/dt = -3y/√144-y^2  

When y = 5:

dx/dt = -3(5)/√144-(5)^2

dx/dt = -15/√144-25

dx/dt = -15/√119

dx/dt = -15/10.91

dx/dt = -1.375

So the top of ladder is moving down the wall at the rate of 1.375 ft/sec .

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The right question is:

A ladder 12 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 3ft/sec. How fast is the top of the ladder moving down the wall when its base is 5 feet from the wall?

The equation that relates the graph is a) y= - 1/2(x-3)²+2

Here Let put x=7

y= -1/2(x-3)²+2

= -1/2(7-3)²+2

= -1/2(4)²+2

= -1/2(16)+2

= - 8+2

= - 4

Hence (7,-4) is marked.

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Answer:

around 65 boxes of canvases

Step-by-step explanation:

well 3,204 - 478 - 384 = 2,342 people left who wanted to paint on canvases

2,342/36 = 65.05 boxes of canvases:)

Integer values of x in the interval [-4, 2] that satisfy the following Inequality: 4x + 5 < -6 are -4 and -3.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

A sign of inequality can be used to show that one of the two variables is larger than, more than or equal to, less than, or equal to another value.

Income gap, gender inequality, access to health care, and social class are some of the most prominent instances of social inequality.

Given the inequality:

4x + 5 < -6

Therefore the all values of x which satisfy the given inequality on the interval [-4,2].

So, x= -4 and x= -3

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Answer:

-5/3

Step-by-step explanation:

Let's use the formula [tex]S = \frac{rise}{run}[/tex]

We can rewrite this as [tex]S = \frac{y_{1}-y_{2}}{x_1-x_2}[/tex]

The points we have are (1, 3) and (4, -2)

Now we just insert them into the equation and solve:

[tex]\frac{3-(-2)}{1-4}=\\\frac{5}{-3}=\\-\frac{5}{3}[/tex]

An angle is outside a circle if its vertex is outside the circle and its sides are tangents or secants. Here the angle is formed by two tangents,

The value of x is 80°.

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency.

As we know that the complete angle of the circle is 360°

The answer for x° is 360° - 260° = 100°

⇒ 260°- 100° = 160° now,

⇒ 160°/2 = 80°

∴ x = 80°

Hence, for the given two tangents formed the answer for x° = 80°

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A reflection across the x-axis and horizontal shift right 10 units are transformations that can be applied.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations constitute the foundation for the majority of proofs. Transformations allow us to change any image in a coordinate plane. The rules of transformations can be utilised to better understand the images used in video games. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

Given

Transformations that apply,

A reflection across the x-axis

A horizontal shift right 10 units

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Answer:

Step-by-step explanation: To solve the problem, we can use the given information to set up a system of equations and solve for the values of $x$ and $y$. Specifically, we are given that one number is 4 less than 3 times a second number, and that two times the first number decreased by two times the second is 8.

Let $x$ represent the larger number, and $y$ represent the second number. We can write the given information as a system of equations as follows:

x &= 3y - 4

2x - 2y &= 8

Solving this system of equations, we find that $x = 12$ and $y = 2$. Therefore, the value of the larger number is 12

Answer:

True

Step-by-step explanation:

The point [tex](0,3)[/tex] lies on the graph.

Solution of compound inequality -2 > n - 6 > -11 is 4 > n > -5.

An inequality that combines two simple inequalities is known as a compound inequality. Inequalities that are compounded by using "and" or "or" are known as compound inequalities. For instance, 1 x 3 simply means "x > 1 and x 3". As the name implies, a compound inequality consists of two inequality with an AND or OR in between them. An example of a compound inequality is -2 x OR x > 5.

Given

Compound inequality

-2 > n - 6 > -11

Solving them separately,

-2 > n - 6

-2 + 6 > n

4 > n

n - 6 > -11

n > -11 + 6

n >  -5

Equating them together,

c. 4 > n > -5

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The error occurred in step 1

The justification for solving the equation -2(t + 3) + 4 = 12 + 6t is below;

2 |a + 1| = 5

Step 1:

2 |a + 1| = 5 or 2 |a + 1| = -5

2a + 2 = 5 or 2a + 2 = -5

combine like terms

2a = 5 - 2 or 2a = -5 - 2

2a = 3 or 2a = -7

divide both sides by 2

a = 3/2 or a = -7/2

2.

-2(t + 3) + 4 = 12 + 6t original equation

-2t - 6 + 4 = 12 + 6t Distributive property

-2t - 2 = 12 + 6t Addition property of equality

-2t - 2 - 6t = 12 + 6t - 6t Subtraction property of equality

-8t - 2 + 2 = 12 + 2 combine like terms

-8t / -8 = 14 / -8 Division property of equality

t = 14/-8 solution

t = 7/-4 simplified solution

Therefore, the equation -2(t + 3) + 4 = 12 + 6t has a simplified solution of t = 7/-4

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Answer: Here is a completed table for the scenario described:

Class Number of Students Number of Dates Total Tickets Sold

Senior             342                      342                         684

Total Revenue

   $37,620

Based on this information, the following information can be determined:

The senior class is selling a total of 684 prom tickets.

The total revenue from prom ticket sales for the senior class is $37,620.

I hope this helps! Let me know if you have any other questions.

Answer:

21 steps

Step-by-step explanation:

There are 9 prime numbers and 15 composite numbers between 2 and 25. So, a prime number would be 1 step forward, and a composite number would be 2 steps back.

[tex]1*9+(-2)*15=9-30=-21[/tex]

We then take the absolute value of -21 to get 21 as our answer.

Hope this helped! :)

The equation Sharon can use to find c, the average amount the cable company charges per channel is 300(c - 0.20) = 180.

The cable company charges an average of $0.80 per channel.

An equation involves two expressions or statement on two sides connected with an equal sign.

Total number of channels = 300

Let c be the cable company charges per channel.

Then the charge satellite company charges per channel = c - 0.20

Monthly charge of satellite company = 300(c - 0.20)

Monthly satellite bill = $180

So,  300(c - 0.20) = $180

⇒ c - 0.20 = 180/300

⇒ c - 0.20 = 0.60

⇒ c = 0.60 + 0.20

⇒ c = 0.80

Hence the equation used to find the cable company charge per channel is 300(c - 0.20) = 180 and the cable company charge per channel is $0.80.

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The number of petals that the flower should have is of:

8 petals.

A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.

In this problem, we want the flower to have a rotation symmetry of 45 degrees.

The total angle measure of the flower is given as follows:

360º.

Then the number of petals needed for the flower to have a rotational symmetry of 45º is calculated as follows:

360/n = 45.

Applying cross multiplication, we have that:

45n = 360

n = 360/45

n = 8 petals.

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The slope of the equation 3x+20=-4 is 8.

How may mathematical expressions be made simpler?

Mathematical operations may be made more simpler by using the right order of operations. Exponents, words in parentheses, multiplication, division, addition, and ultimately subtraction are the right order of operations. PEMDAS is a helpful acronym that you may use to remember this.

1. Subtract 20 from both sides

[tex]\begin{aligned}& 3 x+20=-4 \\& 3 x+20-20=-4-20\end{aligned}[/tex]

2. Simplify

Subtract the numbers

3 x=-24

3. Divide both sides by the same factor

[tex]\begin{aligned}& 3 x=-24 \\& \frac{3 x}{3}=\frac{-24}{3}\end{aligned}[/tex]

4 Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=-8

Y = mx + b, where m is the slope and b is the y-intercept, is the slope equation utilising the equation of a line.

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Yes , the triangles ΔSTU and ΔSRQ are similar triangles

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔSTU

Let the second triangle be ΔSRQ

Now , for the triangles to be similar , the corresponding sides of the triangles should be in the ratio

So , on simplifying , we get

The measure of side ST = 21

The measure of side SU = 35

The measure of side SQ = 6

The measure of side SR = 10

Now , for similar triangles ,

ST / SQ = SU / SR

Substituting the values in the equation , we get

21 / 6 = 35 / 10

3.5 = 3.5

Therefore , the corresponding sides of the triangles are equal

Hence , the pair of triangles are similar triangles

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Answer: E

Step-by-step explanation:

a. 4(x - 5)^2

= 4 * (x - 5)^2

= 4 * ((x - 5) * (x - 5))

= 4x^2 - 40x + 100

b. 3(x + 1) (2x - 9)

= (3(x + 1)) (2x + −9)

= (3(x + 1))(2x) + (3(x + 1))(−9)

= 6x^2 + 6x − 27x − 27

= 6x^2 − 21x − 27

c. -2(4x + 2)^2

= -2 * (4x + 2)^2

= −2 * ((4x + 2) * (4x + 2))

= 32x^2 − 32x − 8

or d. -2(4x + 2)^2 - 5 (with subtracting 5)

= −32x^2 + −32x + −8 + −5

= (−32x^2) + (−32x) + (−8 + −5)

= −32x^2 + −32x + −13

d. -3(5x - 2)^2 + 5 (with negative)

= 75x^2 + −60x + 12 + 5

= 75x^2 + −60x + 12 + 5

= (75x^2) + (−60x) + (12 + 5)

= 75x^2 + −60x + 17

or d. 3(5x - 2^2 + 5 (without negative)

= (3)(5x + −4 + 5)

= (3)(5x) + (3)(−4) + (3)(5)

= 15x − 12 + 15

= 15x + 3

Answer: C

Step-by-step explanation:

Slope is rise over run. Let's start at (0,0) and we want to see when the line hits another point, which can be (2,1.5). We count that starting from 0, the point goes up by 3 and then runs by 4. Therefore, the answer is 3/4, which is C.

The lengths of the legs of a right triangle 4.884 units and 14.18 units

In this question, we have been given a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long.

We need to find the lengths of the legs of a right triangle.

Consider a right triangle ABC with ∠B = 90° and ∠C = 19°

Consider sine of angle C

sin(C) = AB/AC

sin(19°) = AB / 15

AB = 0.3256 * 15

AB = 4.884

Using Pythagoras theorem,

AC² = AB² + BC²

15² = 4.884² + BC²

BC = √(225 - 23.85)

BC = 14.18 units

Therefore, the lengths of the legs of a right triangle:

AB = 4.884 units

BC = 14.18 units

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Answer:

Zhi's Expression:

18: The total number of tickets

3: The number of tickets required for each game

g: The number of games played

Diego's Expression:

3: The number of tickets required for each game

(6 - g): The total number of tickets minus the number of games played

Step-by-step explanation:

Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.

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Answer:

145.54$

Step-by-step explanation:

Hope this help! <3

The transformations that took for mapping ΔA onto ΔB are:

a) Translated the triangle A 2 units to the right,

b) Reflected the ΔA' (translated A) over the y-axis,

c) Reflected the ΔA'' (reflected A) over the x-axis, resulting in ΔB.

The transformation rules are:

a) Translation: (x, y) ⇒ (x + 2, y) (In the right side direction)

b) Reflection over the y-axis: (x, y) ⇒ (-x, y)

c) Reflection over the x-axis: (x, y) ⇒ (x, -y)

The given vertices of triangle A are: (-2, 3), (-5, 3), and (-5, 5).

a) Applying translation by 2 units to the right to triangle A:

(-2, 3) → (-2 + 2, 3) → (0, 3)

(-5, 3) → (-5 + 2, 3) → (-3, 3)

(-5, 5) → (-5 + 2, 5) → (-3, 5)

So, triangle A is translated to triangle A'.

b) Applying reflection over the y-axis to the triangle A':

(0, 3) → (0, 3)

(-3, 3) → (3, 3)

(-3, 5) → (3, 5)

So, triangle A' is reflected as triangle A''.

c) Applying reflection over the x-axis to triangle A'':

(0, 3) → (0, -3)

(3, 3) → (3, -3)

(3, 5) → (3, -5)

Thus, the formed triangle is B at the vertices (0, -3), (3, -3), and (3, -5).

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Answer: Equilateral Triangles

Step-by-step explanation:

Equilateral triangles all have the same 3 angles, which are 60 degrees.

Answer:

6. Scalene, No congruent sides

7. Isosceles, 2 congruent sides

8. Equilateral, All congruent sides

Answer:

volume of cube= l^ 3

=(4x)^3

=64x^3 cubic units

Answer:

i think that answer is correct

Step-by-step explanation: