How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?



The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.

Answer:

170.202 years

Step-by-step explanation:

From the compound interest formula, that has interest rate in times per year but compounds monthly we have

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

A is the amount you want to save, P is the principal (what you put down, in this case 100), r is the anual interest rate, n is 12 i.e the times it compounds, and t is the amount of years it will take. So we have data for all variables but t.

Solving for t we have

[tex]\frac{A}{P}=(1+\frac{r}{n})^{nt}[/tex]

taking logs

[tex]log(\frac{A}{P})=nt \,log(1+\frac{r}{n})[/tex]

finally

[tex]t = \frac {log(\frac{A}{P}) }{ n[log(1 + \frac{r}{n})]}[/tex]

replacing and calculating we get t=170.202

Let

x------> the time in hours

y------> the distance in kilometers

we know that

The x-intercept is the value of x when the value of y is equal to zero

In this problem the x-intercept is about the point [tex](0.80,0)[/tex]

that means

The number of remaining hours it takes to walk to work is [tex]0.80[/tex] hours (about [tex]48[/tex] minutes

The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is the point [tex](0,4)[/tex]

that means

The remaining distance from home to work after Michael starts walking is [tex]4[/tex] kilometers

therefore

the answer in the attached figure

The measure of an angle formed by the intersection of two angle bisectors in a triangle is the semisum of the two angles being bisected. So, in both situations, ∠ADB and ∠AMB will be (α + β)/2.

In a triangle, the angle formed by the intersection of two angle bisectors is always equal to the semisum of the two angles being bisected. Therefore, in ∆ABC, the measure of ∠ADB (∠ formed by the intersection of the bisectors from ∠A and ∠B) will be (α + β)/2.

For example, if angle A is 40° (let's represent it by α) and angle B is 60° (let's represent it by β), the ∠ADB will be (40 + 60) / 2, which equals 50°.

In the second problem, the measure of ∠AMB will also be equal to the average of ∠A and ∠B, so m∠AMB = (58° + 96°) / 2 = 77°. This rule applies to any triangle ABC, regardless of the type of triangle.

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Answer:

Hi, sorry, but my computer is glitching and I can't put in the answer for some reason.... I'm REALLY sorry...

Step-by-step explanation:

The  length of his shadow be changing  2250/13.

A proportion is an equation in which two ratios are set equal to each other.

Given:

height of men = 6 feet

Shadow height= 5 feet

speed of men= 452 feet/ min

So, Lampost's height = 6 x (5 +13)/ 5 =108/5

Now, using the proportion

L/ (L + 13 + 450 t)= 30/108

108 L= 30 L + 390 + 13500t

78 L = 390 + 13500t

L= 5 + 2250/13 t

hence, length of his shadow be changing  2250/13.

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The ratio table should show dimensions that are proportional to the original rectangle. That is, the dimensions of the other rectangles should be multiplied by a scale factor for the enlargement. I checked each dimension to see if it was a multiple of the original rectangle.

Final answer:

To determine if a rectangle is an enlargement, compare the corresponding sides of the rectangles.

Explanation:

To determine which rectangle is not an enlargement of the given rectangle, you should compare their corresponding sides. An enlargement is a proportional increase in the dimensions of the original shape. If the corresponding sides of the two rectangles are not scaled by the same factor, then it is not an enlargement.

The x-coordinate in the solution of the given system of equations is -4.

The x-coordinate in the solution of the given system of equations can be found by substituting the value of y from one equation into the other equation and solving for x. Let's solve the system of equations:

Start with the equation y = -2/3x. Substitute this into the second equation:

4x - 9(-2/3x) = -40

Now simplify and solve for x:

4x + 6x = -40

10x = -40

x = -4

So, the x-coordinate in the solution of the system of equations is -4.

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33/2 =16.5

round down: 16 numbers at most are less than 22

Final answer:

The numbers ordered from least to greatest are -1/2 (-0.5), -0.25, 0.1, 1/5 (0.2), and 0.3. The decimals provide a common format that makes comparisons straightforward.

Explanation:

The student is asking to order numbers from least to greatest. To compare these numbers, we convert them to a common format, such as decimals, and then we can easily arrange them:

Therefore, the numbers ordered from least to greatest are: -1/2, -0.25, 0.1, 1/5, 0.3.

Answer:

The factored form is  [tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]

Step-by-step explanation:

Given : Expression [tex]8x^9-27y^{15}[/tex]

To find : Factor the expression ?

Solution :

Re-write expression as

[tex]8x^9-27y^{15}=(2x^3)^3-(3y^5)^3[/tex]

Applying identity, [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

Here, [tex]a=2x^3[/tex] and [tex]b=3y^5[/tex]

[tex]8x^9-27y^{15}=(2x^3-3y^5)((2x^3)^2)+(2x^3)(3y^5)+(3y^5)^2[/tex]

[tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]

Therefore, The factored form is  [tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]

To solve the operation 4/11 x 10/8, multiply the numerators and denominators separately. The result is 0.45454545454.

Perform the indicated operation: 4/11 x 10/8

Multiply the numerators: 4 x 10 = 40

Multiply the denominators: 11 x 8 = 88

The result is 40/88 = 0.45454545454

both angles need to equal 180 degrees

 so you get

2x + 4x+150 = 180

combine like terms

6x + 150 =180

 subtract 150 from each side

6x =30

 x = 30/6

x = 5

Answer:

Option C.

Step-by-step explanation:

High school dance team is learning a new routine to a song that lasts 221 seconds.

Yesterday they covered the first 45 seconds for the song at practice.

They learn an average of 22 seconds of dance per hour.

If they learned the dance for h hours then total time taken for routine will be = (22h + 45)

Therefore, equation that represents the this situation will be

22h + 45 = 221

22h = 221 - 45

22h = 176

h = [tex]\frac{176}{22}=8[/tex]

Total hours taken will be 8 hours.

Therefore, option C will be the answer.

To find the psi on the bottom of an 18x10x12 feet aquarium, calculate the total weight of water, 135,000 pounds, and divide it by the bottom area in square inches, resulting in approximately 4.34 psi.

To calculate the pounds-per-square-inch pressure (psi) on the bottom of the aquarium, we need to determine the weight of the water above a single square inch of the aquarium's bottom.

Given that the aquarium dimensions are 18 feet long, 10 feet deep, and 12 feet wide, we first calculate the volume of water in the aquarium by multiplying these dimensions together, which gives us 2160 cubic feet.

Next, since we know that each cubic foot of water weighs about 62.5 pounds, the total weight of the water in the tank can be found by multiplying the volume by this weight, resulting in 135,000 pounds (2160 cubic feet * 62.5 pounds/cubic foot).

To find the pressure in psi, we divide this total weight by the area of the bottom of the tank in square inches.

The tank bottom is 18 feet by 12 feet, which is 216 square feet or 31,104 square inches (216 square feet * 144 square inches/square foot).

Dividing 135,000 pounds by 31,104 square inches, we get approximately 4.34 psi pressure exerted on the bottom of the tank.

subtract 30 from both prices shown

175 -30 = 145

260 -30 = 230

 he will spend between 145 and 230 after the rebate

After applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.

The problem is asking to find out how much Luis will spend on a color printer after applying a $30 mail-in rebate. Given that the printers range in price from $175 to $260, we subtract the rebate from each of these prices to get the range Luis might expect to pay.

To calculate the minimum price, we take the lowest price of $175 and subtract the mail-in rebate: $175 - $30 = $145.

And to calculate the maximum price, we take the highest price of $260 and subtract the rebate: $260 - $30 = $230.

So, after applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.

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Final answer:

To convert the average height of a female giraffe from meters to centimeters, multiply 4.6 meters by 100, resulting in 460 centimeters.

Explanation:

To convert the average height of a female giraffe from meters to centimeters, we need to use the conversion factor where 1 meter is equivalent to 100 centimeters. If the average height is 4.6 meters, then we need to multiply this value by 100 to find the height in centimeters

Step-by-step calculation

This conversion process, from meters to centimeters, simplifies the representation of the average height of a female giraffe. Utilizing the conversion factor, where 1 meter equals 100 centimeters, the calculated result of 460 centimeters provides a more practical and commonly used metric. Such conversions are valuable for ensuring consistency in measurement units and facilitating communication across different contexts, enhancing our understanding of the physical dimensions of giraffes in a more accessible manner.

product means multiply

increased by means add

 so product of 4 and a number would be 4n

 than add 7

 so you have 4n+7

Nonlinear function (A)

The graph of a combination of line segments that passes the vertical line test is a Non Linear function.

The vertical line test states that a graph represents a function if and only if all vertical lines intersect the graph at most once.

The vertical line check is a graphical approach of determining whether or not a curve inside the aircraft represents the graph of a function by means of visually examining the variety of intersections of the curve with vertical lines.A vertical line intersects with them only once, making them features.Parabolas that face upward and downward are capabilities.They may be functions because a vertical line intersects the curve no extra than once.

If a vertical line intersects a curve on an xy-plane greater than once then for one price of x the curve has multiple value of y, and so, the curve does now not represent a function. If all vertical lines intersect a curve at most once then the curve represents a function.

The vertical line take a look at helps to find it a given curve represents a function or now not. If the vertical line cuts the graph of the equation at simplest one factor, then it's miles a characteristic, and if cuts the graph of the characteristic at a couple of point, then it does not constitute a characteristic. A vertical form is a shape with layers stacked on top of every other, with a fixed layer top, for instance a spherical tower where the radius corresponds to the datapoint.

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