Solve the absolute value equation - 5 | x + 1 | + 2 = 12 if there is no solution, state no solution

False , Teenage and young adult drivers are killed due to distracted driving.

Drivers under the age of 21 have a higher likelihood of being distracted than those over that age. A 2019 survey of high school students in the United States found that 39% of those who had driven in the 30 days prior had texted or emailed at least once.

White students (44%) were more likely to text or email while driving than Black (30%) or Hispanic (35%). Older students were more likely to engage in this behaviour than younger students.

Students were just as likely to use email or text while driving.

When texting or sending emails while driving, students were more likely to report engaging in extra risky driving behaviours. They were more likely to occasionally fail to put their belts.

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The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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Answer:

x = 55°, y = 70° and z = 125°

Step-by-step explanation:

Step 1 - Calculate ∠x:

As all angles on a line add up to 180°

125 + x = 180

x = 180 - 125

x = 55

Step 2 - Calculate ∠y:

As the triangle is an isosceles triangle, as evident by the two sides of equal length:

180 = y + 55 + 55

180 = y + 110

y = 180 - 110

y = 70

Step 3 - Calculate z:

180 - 55 = z

z = 125

Meaning that x = 55°, y = 70° and z = 125°

Hope this helps!

the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

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The difference in income between the richest and poorest Citi zen I

called the wealth gap.

The unequal distribution of money and assets among the people is known as the wealth gap or wealth inequality. For instance, in 2014, the wealthiest 1% of Americans controlled 40% of the country's wealth, while the lowest 80% owned just 7%. It goes without saying that the wealth gap reinforces inequality, especially along racial and class lines.

The wealth gap, or economic or wealth inequality, is the solution. It is often quantified using many indicators, including consumption, income, and asset wealth.

Indices, such as the Gini coefficient, are used to represent the gap's size. National wealth discrepancies vary greatly across several nations. According to the global wealth gap, the richest 1% of the world's population would own two-thirds of the world's wealth by 2030.

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Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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slope of intercept from the equation of line is

Answer:

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

Step-by-step explanation:

Below is the complete question

What does the constant term in the above function represents?

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

B. The constant term 12 represents the maximum number of pizzas sold in an hour.

C. The constant term 12 represents the amount of additional pizzas sold for each additional discount coupon offered.

D. The constant term 12 represents the number of discount coupons offered in an hour.

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!

the arc length of the curve over the interval [1,7] is given by:

`L = ∫[1,7] sqrt(1 + 1/x^4) dx`

the arc length of the curve over the interval [1,7] is approximately 5.854 units.

(a) To sketch the graph of the function Y=1/x over the interval [1,7], we can plot some points and connect them with a smooth curve. For example, we can choose some x values in the interval [1,7] and find their corresponding y values using the equation Y=1/x. The table below shows some of these values:

| x | Y=1/x |
|---|-------|
| 1 | 1     |
| 2 | 0.5   |
| 3 | 0.333 |
| 4 | 0.25  |
| 5 | 0.2   |
| 6 | 0.167 |
| 7 | 0.143 |

We can then plot these points and connect them with a smooth curve, as shown in the graph .



The highlighted part of the graph corresponds to the interval [1,7].

(b) To find a definite integral that represents the arc length of the curve over the indicated interval, we can use the formula:

`L = ∫[a,b] sqrt(1 + (dy/dx)^2) dx`

where L is the arc length, a and b are the limits of integration, and dy/dx is the derivative of the function y(x) with respect to x.

In this case, we have y(x) = 1/x, so:

`dy/dx = -1/x^2`

Using this, we can find the integrand for the arc length formula:

`sqrt(1 + (dy/dx)^2) = sqrt(1 + 1/x^4)`

Therefore, the arc length of the curve over the interval [1,7] is given by:

`L = ∫[1,7] sqrt(1 + 1/x^4) dx`

However, this integral cannot be evaluated with the techniques studied so far, since it does not have an elementary antiderivative.

(c) We can use the integration capabilities of a graphing utility, such as Wolfram Alpha or Desmos, to approximate the arc length. For example, using Wolfram Alpha, we can enter the integral `int sqrt(1 + 1/x^4) dx, x=1 to 7` and get the following result:

`L ≈ 5.854`

Therefore, the arc length of the curve over the interval [1,7] is approximately 5.854 units.

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100% - 30% = 70%

The shirt is selling for 70% of the original price.

Multiply the original price by 70%

26.98 x 0.70 = 18.89

The sale price is $18.89

Answer:

$18.89

Step-by-step explanation:

26.98x0.3= 8.094

26.98-8.094= 18.886

Answer:

Step-by-step explanation:

Net monthly income = 3218 +3218 = $ 6436

$ 1817 is the fixed expense for net income $6436. So, to find the percentage, multiply by 100

\(Percentage \ of \ fixed \ expenses = \dfrac{1817}{6436}*100\)

                                   = 28%

There is a probability that 105 of the 350 students would select May 9 for the dance.

To solve the above we need to find the proportion of students in the sample who voted for each date and this can be done by:

May 2:  18/70

  = 0.257

May 9: 39/70

  = 0.557

May 16: 13/70

   = 0.186

if the whole population of 350 students voted, then

May 2: 0.257 x 350

   =  90

May 9: 0.557 x 350

 = 195

May 16: 0.186 x 350

  = 65

From the above calculation, we can see that if 105 students out of 350) were to choose a date, the most likely date that they will select is  May 9, since it is the one that has the highest proportion of votes in the sample.

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Answer:

x=130/3

Step-by-step explanation:

2x _5x=80_50

collect like terms calculate

-3x=-130

Divide both sides

x=130/3

OR

x=43 1/3 x=43.3

The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

x + 2y - (5y - 2) = -3

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

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Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

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The required equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4))).

An ellipse is a cross-section part of a cone structure when cutting it out a horizontal cross-section of a cone.

(x-h)²/a² + (x-k)²/b² = 1 (h,k) = centre of the ellipse. a, b = semi-minor or major axis,

The equation of the set of all points from which there are two tangents to the ellipse x²/a² + y²/b² = 1, with slopes that are reciprocals can be obtained by finding the polar equation of the ellipse and then determining the points of tangency.

For the polar equation of the ellipse, we use the transformation x = a cos(θ), y = b sin(θ). The equation of the ellipse then becomes:

a² cos2(θ) + b² sin2(θ) = a2

Rearranging, we have:

cos²(θ) = a² / (a² + b²)

So the polar equation of the ellipse is:

r = a / √(a² / (a² + b²) + sin²(θ)) = a / √(a² / (a² + b²) + (1 - cos²(θ)))

Next, we find the points of tangency by taking the partial derivative of the polar equation with respect to θ and setting it equal to zero:

∂r / ∂θ = 0

Solving for θ, we find that the tangent points occur at θ = (2n + 1) π / 4, where n is an integer.

So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are reciprocals is the polar equation of the ellipse at these tangent points:

r = a / √(a² / (a² + b²) + (1 - cos²((2n + 1) π / 4)))

For the case of negative reciprocals, the tangent points occur at θ = n π / 4, where n is an integer. So the equation of the set of all points from which there are two tangents to the ellipse with slopes that are negative reciprocals is:

r = a / √(a² / (a² + b²) + (1 - cos²(n π / 4)))

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Answer:

ST = 8 m

SU = 7 m

m∠Q = 75°

m∠S = 59°

m∠R = 46°

m∠U = 46°

Step-by-step explanation:

The given parameter are;

ΔPQR is congruent to ΔSTU

In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m

In ΔSTU, m∠T = 75°

By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;

m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC

ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R

Therefore;

ST = PR = 8 m

ST = 8 m

SU = PQ = 7 m

SU = 7 m

m∠Q = m∠T = 75°

m∠Q = 75°

m∠S = m∠P = 59°

m∠S = 59°

m∠U = m∠R = 180 - (75° + 59°) = 46°

m∠R = 46°

m∠U = 46°.

Let's focus on the point (3,4) which is the upper left-most point of the blue figure. Draw a line through (3,4) and (1,2) which is the point we're rotating the blue figure around. This line goes through (-1,0) which is on figure C. Specifically, it is the lower right-most point of the figure. The rotation flipped things around so to speak (it's not a reflection though).

This trick of drawing a line through the rotation center only works when we are doing 180 degree rotations.

Answer:

Slope-intercept form: y = 3x + 5

Slope: 3

y-intercept: 5

Step-by-step explanation:

When the equation of a line is written in the slope-intercept form, we can easily identify the slope from the coefficient of x and the y-intercept from the constant.

The slope-intercept form is expressed as y = mx + c, where m is the slope and c is the y-intercept. Note that other textbooks might use y = mx + b instead, but both have the same meaning as both m and b or c will be replaced by a certain value.

To rewrite an equation in the slope-intercept form, isolate the y term on the right-hand side of the equation and divide the whole equation by the coefficient of y.

Working

\(y - ( - 7) = 3(x - ( - 4))\)

Expand:

\(y + 7 = 3(x + 4)\)

\(y + 7 = 3x + 12\)

Subtract both sides by 7:

\(y = 3x + 12 - 7\)

\(\bf{y = 3x + 5}\)

Since the coefficient of y is already 1, we have arrived at our final answer.

When the equation is in the slope-intercept form, the slope can be identified from the coefficient of x. This refers to the number that comes before x which is multiplied to x.

Thus, the slope is 3.

The y-intercept is the value of the constant in the slope-intercept form. This refers to the number that is not attached to any variables.

Hence, the y-intercept is 5.

Note that the y-intercept can also be found by substituting x = 0 into the equation.

The x-intercept occurs at y = 0. Since we have the equation of the line, we can substitute y = 0 into the equation to find the value of x when y = 0.

Working

y = 3x + 5

When y = 0,

0 = 3x + 5

3x = -5

Divide both sides by 3:

\(x = - \frac{5}{3} \)

I have attached the graph as an image. If only a sketch is required, there are 3 pieces of information that needs to be labelled on the graph:

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Answer:

sorry I need points I hope u understand

The answers are :

Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.

Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.

rate = distance/time.

Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.

Rate = 800,000 ÷ 4

Rate = 200,000 meters per hour.

Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.

Rate = 200,000 ÷ 1000

Rate = 200 kilometres per hour

Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.

Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate

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The given inequality: y < 0.5x + 2

The coordinates of they satisfy the given inequality than they are the solutions of the inequality y < 0.5x + 2

Plot the given points on the given line, The points which are passes through the line is the solution of the given inequality:

The point (-1,2)

The points doenot pss through the line and lie in the shaded region

So, (-1,2) are not the solution of the given inequality:

Solution are :(-2, 1)

(1, -2)​

Answer :

(-2, 1)

(1, -2)​

Answer:

D

Step-by-step explanation:

if you divide the money by the ounce, D is the cheapest with 0.24 per ounce

Answer:

Step-by-step explanation:

My guess is that it is not A.  And A is not the answer.

You have to try each one to see.

3.20 / 8 = .40 cents/ounce.

6.25/25 = .25 dollars per ounce

3.84/16 =  .24

The last one is the better buy.

George's dog is approximately 32.41 meters away from its crate, if it ran 22 meters, turned and ran 11 meters, and then turned 120° to face its crate.

To determine the distance from George's dog to its crate after the described movements, we can use the concept of a triangle and trigonometry.

The dog initially runs 22 meters, then turns and runs 11 meters, forming the two sides of a triangle. The third side of the triangle represents the distance from the dog's final position to the crate.

To find this distance, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, the equation is c² = a² + b² - 2abcos(C).

In this case, a = 22 meters, b = 11 meters, and C = 120°. Plugging these values into the equation, we have

c² = 22² + 11² - 2(22)(11)cos(120°).

Evaluating the expression, we get

c ≈ 32.41 meters.

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Answer:

4.005+(-3.12)

Step-by-step explanation:

Answer:

4.005+(-3.12)

Step-by-step explanation:

A proposition is a statement that expresses a relationship between two or more objects.

A proposition can either be true or false, and it must be capable of being determined as such. For example, the statement "2 + 2 = 4" is a proposition, and it is true.

Mathematically, a proposition is expressed in the form of an equation, and can be expressed as a function of its variables. For example, the equation y = x + 2 expresses the proposition that the value of y is two more than the value of x. This proposition can be shown to be true by substituting any number for the variable x and calculating the result. For example, if x is 5, y will be 7, which is 2 more than 5.

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