Consider the function f (x) = x.What effect does subtracting 2 from the input have on the graph of the function?​

Answers

Answer 1

The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.

What effect does subtracting 2 from the input?

For any function f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

And what this does, is translate the graph N units horizontally.

if N > 0, then the translation is to the left.

if N < 0, then the translation is to the right.

Here we want to subtract 2 from the input, so we will get:

f(x - 2)

By using the definition above, we know that we will have a translation of 2 units to the right.

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Related Questions

The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.

Answers

Answer:

Length = 10 Width = 5

Step-by-step explanation:

Let's assume that,

→ Length = 2x

→ Width = x

→ Perimeter = 30

Perimeter of rectangle formula,

→ P = 2(L + W)

Now the value of x will be,

→ P = 2(L + W)

→ 2(2x + x) = 30

→ 2 × 3x = 30

→ 6x = 30

→ x = 30/6

→ [ x = 5 ]

Then required dimensions are,

→ Length = 2x = 2 × 5 = 10

→ Width = x = 5

Hence, these are the dimensions.

Length = 10

width = 5

Given-

Perimeter =30

l=2b........................................................ i

so

P =2(l+b)

here

30 = 2(2b +b)... ... ..............         as l=2b from i

30 = 2*3b

30 = 6b

b= 5

which implies l= 2*5 --->10............................................ from i

so

Length = 10

width = 5

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Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)

Answers

The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.

What is the domain?

Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.

Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)

For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,

144 − 9x² − 16y² − z² > 0

9x² + 16y² + z² < 144

x²/ 4² + y²/ 3² + z²/ 12² < 1

Therefore, the domain is an ellipsoid.

Therefore x ∈ (-4, 4)

y ∈ (-3, 3)

z ∈ (-12, 12)

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A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?

Answers

The total length needed in inches will be 490.5 inches.

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

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25.05+36.05 equal the answer

Answers

Answer:

61.1

Step-by-step explanation:

Here, we simply add the two numbers together.

25+36=61

0.5+0.5=1

so, the answer is 61.1

25.05 + 36.05 is rounded to 61.6

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20

Answers

Answer: B

Step-by-step explanation:

(30 points) write the equation of line a that goes through points (3,2) and has a y-intercept of 1

Use the equation that you wrote for line a to write an equation for line b which is perpendicular to line 8 and goes through the point (-4,2)

Answers

To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).

To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.

Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:

y = mx + b

Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:

y = 0x + 1

To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.

Using the point-slope form, the equation of line b is:

y - 2 = 0(x - (-4))

Simplifying, we get:

y = 0x + 2

So, the equation of line b is:

y = 0x + 2

guys please help its due today!​

Answers

a) Let x be the number of games played and let y be the total price.

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

(b)

Pin Lanes: y = 10 + 3x

Strike Lanes: y = 4 + 6x

(c) To find the number of games at which the total price is the same at both places, we can set the two equations equal to each other and solve for x:

10 + 3x = 4 + 6x

6x = 6

x = 1

So the total price would be the same if you played 1 game at both Pin Lanes and Strike Lanes.

(d) Since you want to play 4 games, you can substitute x = 4 into the equation for each place:

Pin Lanes: y = 10 + 3(4) = 22

Strike Lanes: y = 4 + 6(4) = 28

Since 4 games at Pin Lanes costs $22 and 4 games at Strike Lanes costs $28, it would be cheaper to play at Pin Lanes.

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After 9 years in an account with a 3.9% annual interest rate compounded continuously, an investment is worth a total of $17,757.16. What is the value of the principal investment? Around the answer to the nearest penny.

Answers

The value of the principal investment would be = $12,500.75

What is a principal investment?

A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.

The years of investment (t) = 9 years

The annual interest rate (r) = 3.9% = 3.9/100= 0.039

The total worth of the investment (A) = $17,757.16

Then, solve the equation for P

P = A / ert

P = 17,757.16 / e(0.039*9)

P = $12,500.75

Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75

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-POINTS-
(4IZ0 Don’t even try.)

Answers

Answer:

Step-by-step explanation:

axf

I don’t know what to put here

Coupon A: $16 rebate on a $55 jacket

Coupon B: 35% off a $55 jacket


Coupon A gives the lower price ?

The price of coupon A is ? less than the price with Coupon B


Coupon B gives the lower price?

The price of coupon B is ? less than the price with Coupon A

Answers

Yes. Coupon B gives the lower price.

The price of coupon B is less than the price with Coupon A

How to determine which price is lower?

Discount is defined as a deduction from the usual cost of something

Since there is a $16 rebate on a $55 jacket using Coupon A. The price when Coupon A is used will be:

price using Coupon A = $55 - $16 = $39

Since Coupon B gives a 35% discount on the price of the jacket. The price when Coupon B is used will be:

price using Coupon B = $55 - (0.35×55) = $35.75

Thus, the price of coupon B is less than the price with Coupon A

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S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent

Answers

Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

Are the given expressions equivalent expressions?

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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13. Communicate and Justify During a chemistry experiment, Julian
records how the temperature changes over time using ordered
pairs (time in minutes, temperature in °C).
(0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100)
a. Which variable is the independent variable?
The dependent variable? Explain in need answerssss

Answers

Julian uses ordered pairs to record the temperature variations over time during a chemistry experiment (time in minutes, temperature in °C). (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100) (25, 100).

What do you meant by depend and independent variable ?

It is the cause that is the independent variable. Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value. It is a thing that is dependent on other things. The amount of study you did, how much sleep you had the night before the test, or even how hungry you were when you took it.

Could all affect your test result, which makes it a dependent variable. The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Ex. How much sleep you get depends on your test results.

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two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?

Answers

Answer:

70

Step-by-step explanation:

Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.

is it possible to have an inscribed circle by using centroid as the centre ?​

Answers

Answer:

Yes, it is possible

Step-by-step explanation:

What Is the slope for these two points (3,-2) and (5,6)?

Answers

Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

solve for inequality for graph y + 4 > 1/2 {x + 2}

Answers

Answer:

y > X/2 - 3

I think that's the answer.

In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?

A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.

I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?​

Answers

Therefore, the solution of given problem of percentage  indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

A percentage is defined.

A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.

Here,

Before any changes,

let w represent the size of the workforce. There are:

50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5

A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5

Reverse the first equation to create the second equation.

w(2001) = w(1999) * 1.5/1.5

Remove the 1.5 from the top and bottom so that w(2001) = w (1999)

Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

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for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)

Answers

Answer:

g(f(x)) = 4x² - 12x + 10

Step-by-step explanation:

to find g(f(x)) substitute x = f(x) ino g(x)

g(f(x))

= g(2x - 3)

= (2x - 3)² + 1 ← expand parenthesis using FOIL

= 4x² - 6x - 6x + 9 + 1

= 4x² - 12x + 10

I just need help appreciate it and have a great day

Answers

On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

balloons is 12

blew up is  1/3

friend blew up is  5

1/3*12 = 4

4+5 = 9

3/12 = 1/4

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Write an expression to represent: 2 times the difference of x and 3​

Answers

Answer:

2(x-3)

Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.

Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)

Answers

Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

approximate v46 to the nearest hundredth ​

Answers

Answer:

6.78

Step-by-step explanation:

pls help due tomorrow​

Answers

On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

-12 +18 = p + 7

6 = p + 7

p = -1

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A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10

Answers

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A

Answers

Answer:

( 7,-1 )

Step-by-step explanation:

PLEASE FAST
Solve the equation for t.

4(t – 2.9) ≥ 3.6

t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6

Answers

Answer:3.8

Step-by-step explanation:

There are t counters in a box.
Write an expression for the total number of counters.

Answers

Answer: 4t

Step-by-step explanation:

You just do t times the amount of boxes you have, which is 4. So you have 4 times t, but in algebra, we don't write the multiplication sign. So the expression would be written as 4t. Yw!

Also please tell me if I was unhelpful/incorrect, thanks!

a(n)=
2
3

(−2)
n−1 what is the 3rd term in sequence

Answers

The third term of the geometric sequence will be 8/3.

What is a geometric sequence?

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The equation is given below.

aₙ = (2/3) · (-2)ⁿ⁻¹

The third term of the geometric sequence will be given as,

a₃ = (2/3) · (-2)³⁻¹

a₃ = (2/3) · (-2)²

a₃ = (2/3) · (4)

a₃ = 8 / 3

The third term of the geometric sequence will be 8/3.

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please help me thank you so much

Answers

Answer:

12(7-3) and 2-0.5

Step-by-step explanation:

All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.

1. What property could you use to show that these two triangles are congruent? QRP XWY​

Answers

The property that could be used to determine that the triangles are congruent is the SSA congruent theorem

How to determine the congruent property

From the question, we have the following parameters that can be used in our computation:

Triangles = QRP and XWY​

On the triangles, we can see that:

Two corresponding sides on both triangles are marked with I and IIThe triangles have a pair of corresponding angles

This means that we make use of the SSA congruent theorem

The SSA congruent theorem implies that  if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

In this case, we have

Congruent sides: RQ and HG & PR and HF

Congruent angles: Angles Q and G

Hence, the additional information on the congruency of the triangles is the SSA theorem

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