Describe the transformation.y = - [xl-5reflect over x-axis, vertical compress by factor of 3, and shift down 5reflect over x-axis, vertical compress by factor of 3, and shift up 5reflect over x-axis, vertical stretch by factor of 2, and shift down5reflect over x-axis, vertical stretch by factor of 2, and shift up 5

Step-by-step explanation:

The absolute value function is a well known piecewise function (a function defined by multiple subfunctions) that is described mathematically as

                                 \(f(x) \ = \ |x| \ = \ \left\{\left\begin{array}{ccc}x, \ \text{if} \ x \ \geq \ 0 \\ \\ -x, \ \text{if} \ x \ < \ 0\end{array}\right\}\).

This definition of the absolute function can be explained geometrically to be similar to the straight line   \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\)  , however, when the value of x is negative, the range of the function remains positive. In other words, the segment of the line  \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\)  where \(\textbf{\textit{x}} \ < \ 0\) (shown as the orange dotted line), the segment of the line is reflected across the x-axis.

First, we simplify the expression.

                                             \(3\left|x \ + \ 1 \right| \ < \ 9 \\ \\ \\\-\hspace{0.2cm} \left|x \ + \ 1 \right| \ < \ 3\).

We, now, can simply visualise the straight line,  \(y \ = \ x \ + \ 1\) , as a line having its y-intercept at the point  \((0, \ 1)\) and its x-intercept at the point \((-1, \ 0)\). Then, imagine that the segment of the line where \(x \ < \ 0\) to be reflected along the x-axis, and you get the graph of the absolute function \(y \ = \ \left|x \ + \ 1 \right|\).

Consider the inequality

                                                    \(\left|x \ + \ 1 \right| \ < \ 3\),

this statement can actually be conceptualise as the question

            \(``\text{For what \textbf{values of \textit{x}} will the absolute function \textbf{be less than 3}}"\).

Algebraically, we can solve this inequality by breaking the function into two different subfunctions (according to the definition above).

                                                \(x \ + \ 1 \ < \ 3 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 3 \ - \ 1 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 2\)

                                            \(-(x \ + \ 1) \ < \ 3 \\ \\ \\ \-\hspace{0.15cm} -x \ - \ 1 \ < \ 3 \\ \\ \\ \-\hspace{1cm} -x \ < \ 3 \ + \ 1 \\ \\ \\ \-\hspace{1cm} -x \ < \ 4 \\ \\ \\ \-\hspace{1.5cm} x \ > \ -4\)

           *remember to flip the inequality sign when multiplying or dividing by

            negative numbers on both sides of the statement.

Therefore, the values of x that satisfy this inequality lie within the interval

                                                     \(-4 \ < \ x \ < \ 2\).

Similarly, on the real number line, the interval is shown below.

The use of open circles (as in the graph) indicates that the interval highlighted on the number line does not include its boundary value (-4 and 2) since the inequality is expressed as "less than", but not "less than or equal to". Contrastingly, close circles (circles that are coloured) show the inclusivity of the boundary values of the inequality.

Answer:

A.

Step-by-step explanation:

All you have to do is convert all those fractions to 20.

So 3/4 will be 15/20, 3/10 would be 6/20, 4/5 would be 16/20 and 1/2 would be 10/20. It could be a or b. Does it say select all possible answers?

Answer:

Explanation:

Given that Factory A produces 400lb Jelly beans and 100lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:

Factory B produces 150lb Jelly beans and 350lb chocolate per hour. In order to produce an order of 12600lb of Jelly beans and 9400lb of chocolate, the number of hour needed is shown below:

The normal approximation is not suitable as np<5.

Given,

mean = np

It turns out that if np and nq are both at least 5, the normal distribution can be used to approximate the binomial distribution. Additionally, keep in mind that a binomial distribution has a mean of np and variance of npq.

Hence apply the mean formula and get the value for np

n= 12 and p=0.

therefore mean = np

np = n×p

np = 12×0.3×

np = 3.6

np is less than 5.

nq=?

q=1-p

q=1-0.3

q=0.7

∴nq = 12 × 0.7

nq = 8.4

nq is not less than 5

It's remarkable that the normal distribution may accurately represent the binomial distribition when n, np and nq are large.

since here only nq is greater than five and np is less than five, therefore we conclude that normal approximation is not suitable.

Hence np<5 so normal approximation is not suitable.

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Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

There are two solutions

Step-by-step explanation:

The two equations intersect in two points therefore you willl have two solutions

Answer:

C. two solutions

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

21

Step-by-step explanation:

I did the math.

Answer:

756 divided by 36 = 21

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

9514 1404 393

Answer:

  6.7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  x^2 = 6^2 +3^2 = 45

  x = √45 ≈ 6.7

The missing side length is about 6.7 units.

Answer:

Step-by-step explanation:

hope it helps

Answer:

40.9 %

Step-by-step explanation:

8.8   is   .4 hours above the mean this is  .4/1.77 = .226 standard deviations above the mean

 Using z-score table this corresponds to ~ .5910    (59.10%)

    this percentage is LESS than 8.8 hours

      the percentage ABOVE this is 40.9%

(Not asked, but this is  40.9 (40 ) = ~ 16 of the 40 mechanics sampled)

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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Answer:

8

Step-by-step explanation:

just do the comparation

Vb : Vs

b for big and s for small

4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)

Vb : Vs = rb³ : rs³

Vb : Vs = (2rs)³ : rs³

Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)

Vb : Vs = 8 : 1

so Vb is 8 times larger in volume than the small one

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

X=11 trust me on my mom

Answer:

a. ⅛

b. ⅜

c. -⅜

Step-by-step explanation:

a. From 0 to -1, there are 8 equal segments. So also from 0 to 1, we have 8 equal segments.

Thus, the length of each segment on the number line would be:

1/8 × 1 = ⅛

Each segment has a length of ⅛ on the numberline.

b. From 0 to Point N, there are 3 segments of equal length.

Therefore, point N represents:

3 × ⅛ = ⅜

c. Opposite of point N would be ⅜ from 0 to the left direction.

Thus, opposite of point N = -⅜

Answer:

i donot know appp lado app

Answer:

A.

Step-by-step explanation:

The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C

We are given the equation; y = ¹/₄(4ˣ)

At the input value of x = 0;

x = ¹/₄(4⁰)

x = ¹/₄

At the input value of x =  1;

y = ¹/₄(4¹)

y = 1

At the input value of x = 2;

y = ¹/₄(4²)

y = 4

At the input value of x = 3;

Thus;

y = ¹/₄(4³);

y = 16

At the input value of x = 4;

y = ¹/₄(4⁴)

y = 64

At the input value of x = 5;

y = ¹/₄(4⁵)

y = 256

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Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

The measure of the angles A and B are 135° and 45° respectively.

The supplementary angles, a pair of angles whose combined measures are 180 degrees or the measure of a straight angle. The two extra angles might coexist or be subtended on a straight line.

The measure of the angles are:

∠A = ( 2x + 5 )° and ∠B = ( x - 20 )°

The angles A and B are supplementary.

Then,

∠A + ∠B = 180°

( 2x + 5 ) + ( x - 20 ) = 180

3x - 15 = 180

Adding 15 on each side of the equation,

3x - 15 + 15 = 180 + 15

3x = 195

Dividing each side of the equation by 3,

x = 195/3

x = 65°

Then the measure of angle A is:

∠A = ( 2x + 5 )°

∠A = ( 2 × 65 + 5 )° = 135°

The measure of angle B will be:

∠B = ( x - 20 )°

∠B = ( 65 - 20 )° = 45°

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Answer: C

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

-6-4 / 3-(-2) = -2

-2(m2) = -1

m2= 1/2

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

Step-by-step explanation:

Answer:

Pretty sure it's 0.528

The value of x in the given polygon is 31 degrees.

An exterior angle is an angle created by the expansion of the neighboring side and one of the sides of a closed shape construction, such as a polygon. Regardless of the number of sides in the polygons, the sum of the measures of the outside angles is equal to 360 degrees.

The sum of the exterior angle of any polygon is 360 degrees.

So,

360 = 57 + 41 + 82 +x + 62 + 87

360 = x + 329

x = 31

Hence, the value of x in the given polygon is 31.

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Answer:

12

Step-by-step explanation:

Answer:

we have a same question bro TwT

Step-by-step explanation:

i also doesn't know the answer TwT but i thought its 12

Answer:

  6) see https://brainly.com/question/18513777

  7) y = 0x^2 +3x -7; (A, B, C) = (0, 3, -7); a linear equation

  8) p ≈ -0.213312t^2 +2.08483t +22.9624; p(11) ≈ 20.08; between 20,000 and 20500

Step-by-step explanation:

7) The result of using a graphing calculator to find a quadratic model for the given points is shown in the first attachment. The equation is ...

  y = 0x^2 +3x -7 . . . . . A, B, C = 0, 3, -7

The A coefficient of 0 tells you this is a linear equation.

__

8) The quadratic regression model* found by my graphing calculator is ...

  p ≈ -0.213312t^2 +2.08483t +22.9624

The "work" is shown in the second attachment. (Apparently, you have a regression tool you're supposed to use.)

Evaluating this equation for t=11 (corresponding to 11 years after 1996), we find ...

  p = (-0.213312·11 +2.08483)·11 +22.9624 = -0.261602·11 +22.9624

  p ≈ 20.084778 ≈ 20.08 . . . . thousands

The population in 2007 is between 20,000 and 20,500.

_____

* We're not sure exactly what is supposed to be rounded to 2 decimal places. Error tends to creep up if the quadratic coefficients are rounded to 2 decimal places, but you may be expected to enter your answer that way.

The population in thousands is "between 20 and 21" when rounded to 2 decimal places. It makes no sense to compute the population (in people) as 20,084.78, rounded to 2 decimal places. We have chosen 20,000-20,500 as the answer to the question about population in 2007, because the question doesn't ask for thousands.