the function g is defined as followed

g(x)=2x^2-7

if the graph of g is translated vertically downward by 3 units, it becomes the graph of a

function h

FIND THE EXPRESSION FOR h(x)


(If you know how to answer these questions please help with the next 2 or three I will post afterwards)

After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

So, get x, by simplification of both sides of the inequality before isolating the variable.

Form of Inequality:

Interval notation:

(Refer to the graph diagram given below)

Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

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Here is the completed table:

Name of the food                         Price with 15% profit

Apple (whole)                                    $9.20

Banana  (whole)                                 $8.34

Chocolate  (whole)                             $6.90

Chocolate chip ( 1 dozen)                   $5.46

Oatmeal ( 1 dozen)                               $5.75

Pecan  (whole)                                       $11.50

Pumpkin  (whole)                                    $13.80

Snickerdoodle  ( 1 dozen)                       $4.89

Vanilla  (whole)                                      $5.18

Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.

Profit is the excess of the cost of production over the price at which the good is sold.

Profit = ( 1 + targeted profit) x cost

= (1 + 0.15) x cost

1.15 x cost

Profit on Apple (whole) = 1.15 x 8 = $9.20

Profit on Banana  (whole) = 1.15 x 7.25 = $8.34

Profit on Chocolate  (whole) = 1.15 x 6 = $6.90

Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46

Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75

Profit on Pecan  (whole) = 1.15 x 10 = $11.50

Profit on Pumpkin  (whole) = 1.15 x 12 = $13.80

Profit on Snickerdoodle  ( 1 dozen)= 1.15 x 4.25 =$4.89

Profit on Vanilla  (whole) = 1.15 x 4.5 = $5.18

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A) The rate for the first 3 years :

15,600 - 7500 = 8100

8100/3 years = 2,700 per year depreciation.

B) The rate between 3 and 8 years:

7500 - 2800 = 4700

4700 / 5 year = 940 per year depreciation.

C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.

The range did usage vary​ over from 823.81 to 2461.97 kilowatt-hours.

Kilowatt-hours are units of energy that represent one kilowatt of electricity for one hour (SI symbol: kWh or kWh; typically abbreviated as kWh). It is 3.6 megajoules in terms of standard units (MJ). For electrical energy supplied to customers by electric utilities, kilowatt-hours are a typical billing unit. The abbreviation "kWh," which is derived from the letters kilowatt and hour, stands in for the kilowatt-hour and is a commonly used abbreviation. In addition to being often used in commercial, academic, and scientific publications as well as in the media, it is also frequently employed by electric utility companies to bill consumers for energy delivered to them. One kilowatt (kW) sustained for one hour (multiplied by one) is equivalent to one kilowatt-hour, a composite unit of energy.

$64.34=6434 cents

$192.28=19228 cents

So 6434 cents  correspond to 6434/7.81

=823.81 kilo watt hours

19228 cents=19228/7.81

=2461.97 kilowatt-hours

So Range is 823.81 to 2461.97 kilowatt-hours.

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The difference between the depths in February and July is 19 feet.

To find the difference between the depths in February and July, we need to subtract the depth in February from the depth in July.

The depth in February is given as |−6|, which is 6 feet, and the depth in July is given as |−25|, which is 25 feet.

Difference = Depth in July - Depth in February

Difference = 25 feet - 6 feet

Difference = 19 feet

Therefore, the difference between the depths in February and July is 19 feet.In February, the depth of the lake is given as |−6|, which represents the absolute value of -6. The absolute value of a number disregards its sign, so |−6| is equal to 6 feet.

In July, the depth of the lake is given as |−25|, which represents the absolute value of -25. Again, disregarding the sign, |−25| is equal to 25 feet.

To find the difference between the depths in February and July, we subtract the depth in February from the depth in July:

Difference = Depth in July - Depth in February

Difference = 25 feet - 6 feet

Difference = 19 feet

Therefore, the difference between the depths in February and July is 19 feet. This means that the lake experienced a change of 19 feet in depth between those two time points.

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Answer:

Your answer is 2

Step-by-step explanation:

If g(x) = -5x - 4 and g(x) = 1 then -5x - 4 = 1.

Given this, we can now solve for x by adding 4 to both sides and then dividing both sides by -5 to isolate the value of x.

                                -5x-4=1

                            -5x-4+4=1+4

                                -5x=5

                                  5    5

                                  5     5

                                   x=-1

The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Given:

[tex]The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}[/tex]

[tex]let\;x\;is\;the\;measure\;of\;the\;first\;angle[/tex]

[tex]one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108[/tex]

We know that sum of two angles is 108

[tex]x+x+30=108^{\circ}[/tex]

[tex]2x+30=108[/tex]

[tex]2x=108-30[/tex]

[tex]2x=78[/tex]

[tex]x=39^{\circ}[/tex]

Second angle y is,

[tex]y=x+30[/tex]

[tex]y=39+30[/tex]

[tex]y=69^{\circ}[/tex]

By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,

Third angle z is,

[tex]x+y+z=180[/tex]

[tex]39+69+z=180[/tex]

[tex]108+z=180[/tex]

[tex]z=180-108[/tex]

[tex]z=72^{\circ}[/tex]

[tex]By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater[/tex]

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Answer:

51 and 12

Step-by-step explanation:

    ➲ Let a be the bigger number

    ➲ Let b be the smaller number

         [tex]a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51[/tex]

Thus,

b = 12, a = 51

_______________________________

Wrapping up:

➲ Hope this helps.

➲ Address concerns if needed.

➲ Have a great day!

[tex]The two equations given arey = x …. (1)x2 + y2 = 1 …. (2)Substitute equation (1) in (2)x2 + x2 = 12x2 = 1x2 = ½x = √1/2x = ±0.707As the square can be positive or negative we get x1 = 0.707 and x2 = -0.707From equation (1) we know that y = xy1= x1= 0.707y2= x2 = -0.707Therefore, the line y = x intersects the unit circle x2 + y2 = 1 at (0.707, 0.707) and (-0.707, -0.707).[/tex]

A junction is a place where two lines come together or cross. In the illustration above, "point K is the intersection of line segments PQ and AB" is what we would state. The phrase "the line segment PQ crosses AB at position K" is another option.

Keep in mind that two line segments do not always need to intersect. In the illustration above, move point B higher until the intersection of the two line segments disappears. However, keep in mind that lines (as opposed to line segments) continue indefinitely in both directions, thus unless they are absolutely parallel, they will always cross someplace.

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Answer: The answer is 27

Step-by-step explanation: 6 x 6 x 6 = 216. 216 is the numerator. 2 x 2 x 2 = 8. 8 is the denominator.

216 / 8 = 216 '/. 8 = 27

The credit that is left on the card after Keith uses it for 30 minutes of calls is $48.35.

From the information given, Keith purchased a prepaid phone card for $50.75. Calls cost 8 cents a minute using this card

The equation was given as C=50.75-0.08x

Therefore, the credit that is left on the card after Keith uses it for 30 minutes of calls will be:

C=50.75-0.08x

C = 50.75 - 0.08(30)

C = 50.75 - 2.40

C = $48.35

The credit is $48.35.

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If Tom choose one marble then the probability that it will blue is 1/3.

According to the given question.

Total number of red marbles in a bag = 5

Total number of blue marbles in a bag = 4

Total number of yellow marbles in a bag = 3

So, the total number of marbles in a bag = 5 + 4 + 3 = 12

As we know that, the probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

Therefore, if Tom choose one marble then the probability that it will blue

= 4/12

= 1/3

Hence, if Tom choose one marble then the probability that it will blue is 1/3.

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Answer:

x = -5

Step-by-step explanation:

Im not very sure but here it is. =D

Tell me if it helps you.

Using the critical value, we should reject the null.

So,

Therefore, using the critical value, we should reject the null.

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Answer:

What is the question?

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y + 50 + y + 10 = 180

3y + 60 = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

2y = 2 × 40 = 80

y + 10 = 40 + 10 = 50

Answer:

y = 40

2y = 80

y + 10 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180°

Using values given,

2y + (y + 10) + 50 = 180

2y + y + 10 + 50 = 180

3y + 60 = 180

3y = 180-60 = 120

y = 120/3 = 40

2y = 80

y + 10 = 40 + 10 = 50

Answer:

Step-by-step explanation:

0.4375

Answer:

6.25%of 112 is 7

Step-by-step explanation:

hope it helps you

Answer: My phone is worth eight hundred dollars.

Step-by-step explanation:

The correct statements are:

This bill is worth twenty dollars.

My phone is worth eight hundred dollars.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given statements:

This bill is worth twenty dollars.

My phone is worth eight hundred dollars.

The dollar I just found in my drawer is still worth a dollar.

The more features it has, the more it is worth.

From the given statements:

This bill is worth twenty dollars.

Here, the measure of the value is n = $20.

My phone is worth eight hundred dollars.

Here, the measure of the value is m = $800.

Therefore, the correct explanation is given above.

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The difference between partitioning a directed line segment MN in a 2:7 ratio versus a 7:2ratio because of following

To understand this let us take the line segment MN which is of a length is divided into 9 equal parts. Here, we are dividing it into nine parts because the proportions 2 and 7 make a sum of 9.

When we divide the line segment MN in the ratio 2:7, the first two parts out of the nine from the left side are separated from the rest 7. This means that the first proportion from the left hand side of the line is smaller than the other.

Now, when we divide the line segment MN in the ratio7:2, the first seven parts out of the nine from the left side are separated from the rest two. This means that the first proportion from the left hand side of the line is larger than the other.

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Answer:

True, True, False, False, True

Step-by-step explanation:

X, Y, and Z are on the same line.

Point W is on line I, not line M.

YW and YD aren't on the same line.

YX and YZ are on the same line.

Answer: 206

Step-by-step explanation:

a=3/4, b=-8, c=-2, d=3

-b[a+(c-d)^2]=

-(-8)[3/4+(-2-3)^2]=

8[3/4+(-5)^2]=

8[3/4+25]=

8*3/4 + 200=

24/4 + 200=

6+200=206

Answer:

nope

Step-by-step explanation:

parallel or not just depend on the coefficient of the first degree

3/2 ≠ 2/3 so not

Answer:

3

Step-by-step explanation:

According to this graph, the global surface temperature trend from 1910 to 1950: C. on average, it rose about 0.5 degrees between 1910 and 1950.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph of the average global surface temperature during the 20th century, we can logically deduce the following data points and statements:

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Answer:

Step-by-step explanation:

I took the quiz! :)

Using translation concepts, the graphs of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the parent and translated functions are given, respectively, by:

The translations are given as follows:

Considering these two translations, the functions are plotted in the graph given at the end of the answer, with:

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The cat ran 3 miles in one hour

A car runs 3/5 of a mile in 2/10

The number of miles ran in one hour can be calculated as follows

3/5= 2/10

x= 1

Cross multiply

2/10x= 3/5

x= 3/5 ÷ 2/10

= 3/5 × 10/2

= 3

Hence the car ran 3 miles in 1 hour

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The study of geometry developed from. measuring the Earth.

Geometry has its roots in issues that people face on a daily basis. According to the conventional myth, which was preserved in Herodotus' History (5th century bce), the Egyptians invented surveying to restore property values following the yearly Nile flood.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.

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Step-by-step explanation:

A has no solution.

15x - 45 = 15x + 75

-45 = 75

is false for every value of x.

in other words, when you add to the same thing different amounts, the result cannot be identical ever.

B has a solution

-45x - 45 = -75x + 75

-120x = 120

-x = 1

x = -1

C has a solution

45x - 45 = -15x + 75

60x = 120

x = 2

D has a solution

15x - 45 = 75x + 75

-120 = 60x

-2 = x