What are the Horizontal and vertical shift of
y = x+2-3

Answers

Answer 1
If the equation is y=(x+2)-3 then the shifts are
3 down and 2 to the left

Related Questions

√a +1 -2
√a +1 +2
Rationalize the denominator

Answers

that's the answer

thank me later

100 points PLEASE ANSWER
ASAP thank you so much
Show work

Answers

Answer:

See below

Step-by-step explanation:

L = length

W = 2 feet less than L   = L-2

Area = L x W

     20   = L  *  (L-2)

     20 = L^2 - 2L

        0 = L^2 - 2L - 20

     Use Quadratic Formula   a = 1     b = -2      c = -20

           L =  [-b ± sqrt(b^2-4ac) ]/2a

            to calculate L = 5.5826 ft      then W = L-2 = 3.5826  ft  

Let's Length be x and width be x-2

So

Area=20x(x-2)=20x²-2x=20x²-2x-20=0

On solving

x=5.6ft

L=5.6

W=5.6-2=3.6ft

Perform the following calculations and report your answer in scientific notation.
a. (3.4 x 102) + (9.3 x 103) =
b. (8.2 x 10-2) - (2.4 x 10-3) =
c. (1.8 x 104) x (3.7 x 105) =
d. (6.7 x 108) / (4.5 x 107) =

Answers

Answer:

a.(3.4×102)+(9.3×103)=scientific notation 18×102×3 4×103-6.1×105 1.6×100 1.6×100

Give a rule of the piecewise-defined function.

Answers

The equation of the piecewise function is [tex]f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right[/tex]

The piecewise function

On the graph, we have:

y = 3 for all x values not more than -1y = -1 for all values greater than 2

Hence, the piecewise function is:

[tex]f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right[/tex]

The domain of the function

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

The range of the function

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

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Solve the following inequality for x.

54-7.1x≤ 1.9x

A. x≤-10.38
B. x≤6
C. x26
D. x2-10.38

Answers

54 <_ 9x
Divide both sides by 9, sign flips
6 >_ x (same as choice B)
I apologize if the symbols make no sense, the typing keyboard has little variety.

The graph of a linear function is shown.

A coordinate plane with a straight line drawn passing through (negative 5, negative 3) and (5, negative 3).
Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

Answer:

zero ez clapppppppppppppp

Answer:

Zero

Step-by-step explanation:

HELP ME ASAP PLEASE. I DONT WANT TO DO CREDIT RETRIEVAL NEXT YEAR T-T ILL GIVE BRAINLIEST

Answers

Answer:

[tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

[tex]P = 80[/tex]

[tex]N = 160[/tex]

Step-by-step explanation:

Hello!

Equation

We know that there are twice as many nickels as pennies, so we can say that n = 2p.

[tex]n = 2p[/tex]

Given the hint:

Pennies are worth $0.01Nickels are worth $0.05

Since "N" and "P" represent the number of pennies, information that we don't know, we can fill in the blank spaces with the value, information that we do know.

[tex]?p + ?n = 8.80; n = 2p[/tex][tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

SolutionSolve for P

We can plug in 2p for "N" in the equation to solve for "P".

[tex]0.01p + 0.05n = 8.80; n = 2p[/tex][tex]0.01p + 0.05(2p) = 8.80[/tex][tex]0.01p+0.1p = 8.80[/tex][tex]0.11p = 8.80[/tex][tex]p = 80[/tex]

There are 80 pennies.

Solve for N

We can plug in 80 in the second equation (N = 2p) to solve for N.

[tex]n = 2p[/tex][tex]n = 2(80)[/tex][tex]n = 160[/tex]

There are 160 nickels.

The equation: [tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

# of Pennies: [tex]P = 80[/tex]

# of Nickels: [tex]N = 160[/tex]

The area of a square is 5.00 square inches. What is the length of one of its sides?

Answers

Answer:

2.24

Step-by-step explanation:

The area of any square is one side squared, or side times side.

S*S = 5.00

s^2 = 5.00

s = The square root of 5.00,

or 2.24

Please answer ASAP
Thank you so much!!!!!

Answers

Answer:

g (f(0)) =   -4.5

Step-by-step explanation:

Find f(0) =   (3(0)-7)/4  = -7/4

   sub this into g(x)

          g(-7/4) = 2 (-7/4) -1 = -14/4   - 4/4 = - 18/4 = -4.5  

work out the missing length x

Answers

Answer:

[tex]x = 12m[/tex]

Step-by-step explanation:

[tex]area = length \: \times breath[/tex]

[tex]length = \frac{11}{3} m[/tex]

[tex]breath \: = x \\ since \: area = 44 \\ 44 = \frac{11}{3} \times x \\ cross \: multiply \\ 44 \times 3 = 11x \\ 132 = 11x \\ divide \: both \: sides \: by \: \\ \frac{132}{11} = \frac{11x}{11} \\ 12m = x[/tex]

An acute triangle has sides measuring 10cm and 16cm. What is the length of the third side?

Answers

Answer: Most likely 13cm

Step-by-step explanation: because it’s between 10cm and 16cm and thes no picture and set of choices so I hope this right.

multiplicative inverse of -1.3

Answers

Answer:

The Multiplicative Inverse of postive 3 has a positive answer and the Multiplicative Inverse of negative 3 has a negative answer. Therefore, the Multiplicative Inverse of -3 is -0.33333333.

What is the vertex of the​ graph? ​(Type an ordered​ pair.)

Answers

Answer:

The vertex is the minimum point on the graph, which is (1,-2)

please help in integral calculus

Answers

Answer:

-2x(5x²-6)

Step-by-step explanation:

hope this helps you

Answer:

First, express the fraction in partial fractions

Write it out as an identity:

[tex]\dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{A}{x}+\dfrac{B}{(x+1)}+\dfrac{C}{(x-1)}[/tex]

Add the partial fractions:

[tex]\dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{A(x+1)(x-1)+Bx(x-1)+Cx(x+1)}{x(x+1)(x-1)}[/tex]

Cancel the denominators from both sides of the original identity, so the numerators are equal:

[tex]2x-10 \equiv A(x+1)(x-1)+Bx(x-1)+Cx(x+1)[/tex]

Now solve for A, B and C by substitution.

Substitute values of x which make one of the expressions equal zero (to eliminate all but one of A, B and C):

[tex]\begin{aligned}x=0 \implies 2(0)-10 & =A(0+1)(0-1)+B(0)(0-1)+C(0)(0+1)\\-10 & = -A\\\implies A & = 10\end{aligned}[/tex]

[tex]\begin{aligned}x=1 \implies 2(1)-10 & =A(1+1)(1-1)+B(1)(1-1)+C(1)(1+1)\\-8 & = 2C\\\implies C & = -4\end{aligned}[/tex]

[tex]\begin{aligned}x=-1 \implies 2(-1)-10 & =A(-1+1)(-1-1)+B(-1)(-1-1)+C(-1)(-1+1)\\-12 & = 2B\\\implies B & = -6\end{aligned}[/tex]

Replace the found values of A, B and C in the original identity:

[tex]\implies \dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{10}{x}-\dfrac{6}{(x+1)}-\dfrac{4}{(x-1)}[/tex]

Now integrate:

[tex]\begin{aligned}\displaystyle \int \dfrac{2x-10}{x(x+1)(x-1)}\:dx & =\int \dfrac{10}{x}-\dfrac{6}{(x+1)}-\dfrac{4}{(x-1)}\:\:dx\\\\& =10\int \dfrac{1}{x}\:dx\:\:-6 \int\dfrac{1}{(x+1)}\:dx\:\:-4 \int \dfrac{1}{(x-1)}\:dx\\\\& = 10 \ln |x|-6 \ln |x+1|-4 \ln |x-1|+C\end{aligned}[/tex]

Complete the conversion using π = 3.14.
Convert 0.38 radians into degrees.
Show your work here

Answers

Answer:

21.78 degrees

Step-by-step explanation:

.38 radians  *  180 degrees / pi radians =

.38 * 180/3.14 = 21.78 degrees

express in lowest term a6 b2 c / a2b c

Answers

The lowest term in a^6 b^2 c / a^2 b c would be as a^4 b.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have given an expression as

[tex]\dfrac{a^6 b^2 c }{a^2 b c}\\ \\\\{a^{6-2} b^{2-1} \\\\a^4 b[/tex]

[tex]a^4b[/tex]

Therefore the lowest term in a^6 b^2 c / a^2 b c would be as a^4 b.

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HELP ASAP!!!
if f(x)=3x+2 what is f(5)?

Answers

Answer:

[tex]\huge\boxed{\sf f(5) = 17}[/tex]

Step-by-step explanation:

Given function:

f(x) = 3x + 2

Put x = 5

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

[tex]\rule[225]{225}{2}[/tex]

Answer:

17

Step-by-step explanation:

f(x)=3x+2

Replace the x with 5

f(5)=3×5+2

Using BODMAS

Multiplication comes before addition

f(5)=15+2

f(5)=17

Proving Vertical Angles Are Congruent
Statensents Reasons
m22=m24
m22+ m23 = 180
22 and 23 are a linear
pair
23 and 24 are a linear
pair
Statements
Reasons
✓1.22 and 24 are vert. angles
1. given
Given: 22 and 24 are vertical angles.
Prove: 22 a 24
2
12
mZ3+ m2 4 = 180
m22+ m23=mZ3+
24

Answers

The angle ∠22 and angle ∠24 are congruent because they are vertically opposite angles.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

The statements are given below.

∠22 = ∠24 (vertically opposite angle)

∠22 + ∠23 = 180 (linear angle)

The diagram is given below.

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How many solutions exist for the system of equations below?
[3x+y=18
13x+y=16

Answers

Answer:

1 solution

Step-by-step explanation:

The two equations have different slopes and different y-intercepts, so they represent two lines that intersect at 1 point.

Answer: 1 solution

Which of the numbers below are whole numbers?
A. 0.105
B. 86.3
C. 514
D. 1/9
E. 641.06
F. 1291

Answers

I believe the answers are C and F because the rest have decimals and etc which would not be considered whole numbers

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
StartFraction negative 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
StartFraction 5 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
StartFraction 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
Mark this and return

Answers

Answer: A on edge

Step-by-step explanation: trust me bro

The value of x are x = (-1 +√21)/2 and x= (-1√21)/2.

What is Quadratic Equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

x² + x -5 = 0

Now, solving the quadratic equation

x = (-1 ± √ 1² - 4 x 1 x (-5))/ 2 x 1

x= (-1 ± √1 +20)/2

x =(-1 ± √21)/2

x = (-1 +√21)/2 and x= (-1√21)/2

Hence, the value of x are x = (-1 +√21)/2 and x= (-1√21)/2.

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You have Birr 1,500 to invest today at 7% interest compounded annually.Find how much you will have accumulated in the account at the end of (1) 3 years, (2) 6 years, and (3) 9 years.

Answers

The amount that would be accumulated at the end of 3 years is $1,837.56.

The amount that would be accumulated at the end of 6 years is $2251.10.

The amount that would be accumulated at the end of 9 years is $2757.69.

What is the future value?

The formula for calculating future value with annual compounding:

FV = P (1 + r)^n

FV = Future value P = Present value R = interest rateN = number of years

The amount that would be accumulated at the end of 3 years = 1500 x (1.07)^3 = $1,837.56

The amount that would be accumulated at the end of 6 years = 1500 x (1.07)^6 = $2251.10

The amount that would be accumulated at the end of 9 years = 1500 x (1.07)^3 = $2757.69

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A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for yellow, 1/10 for green, 1/15 for red, and 1/25 for purple. What is the probability of pulling a purple or green card, written as a reduced fraction?

Answers

Probability helps us to know the chances of an event occurring. The probability of pulling a purple or green card is 7/50.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probabilities of different color cards being pulled are 1/20 for yellow, 1/10 for green, 1/15 for red, and 1/25 for purple. Therefore, the probability of pulling a purple or green card is,

Probability = 1/25 + 1/10

                  = (10 + 25) /250

                  = 35/250

                  = 7/50

Hence, the probability of pulling a purple or green card is 7/50.

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Work out sheet below

Answers

Answer:

Step-by-step explanation:

A regular Octavian is inscribed in a circle with a radius of 5 feet what is the area of the octagon

Answers

Answer:

the correct answer would be 70.7

Step-by-step explanation:

hope this helps

Fill in the blanks in the questions below.

A rock is fired from a slingshot on a hill 48 feet over a field at an initial vertical speed of 32 feet per second. The rock will go up and then fall down to the field. The height of the rock is given by the equation h = -16t2 + 32t + 48, where t is time in seconds. The maximum height of the rock is _____ feet. It is reached after _____ seconds.

Answers

After studying the graph and locating the vertex of the parabola. The maximum height of the rock is 64 feet. It is reached after a second.

How to obtain information from free fall equation by graphical approach

Free fall is an uniformly accelerated motion due to gravitation, whose expression is of the form:

h = -(1/2) · g · t² + v' · t + h'     (1)

Where:

g - Gravitational constant, in feet per square second.v' - Initial speed, in feet per second.h' - Initial height, in feett - Time, in seconds

Graphically speaking, the model represents a parabola. The maximum height is the vertical component of the vertex of the curve and its time is the horizontal component.

Hence, the maximum height of the rock is 64 feet. It is reached after a second.

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In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 75% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 300 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.)​

Answers

The mean is 0.75 , standard deviation is 0.025  and the probability that more than 71% is 0.9452 or 94.52%

The complete question is

In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that

75% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours.

A random sample of 300 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.)

(a)Find the mean of p

.(b)Find the standard deviation of p

.(c)Compute an approximation for P(P>0.71) , which is the probability that more than 71%

of the people in the sample pass the test. Round your answer to four decimal places.

What is Probability ?

Probability is the study of likelihood of an event to happen.

It is given in the question that

n = 300

p = 0.75

The mean is therefore = p = 0.75

Standard Deviation is [tex](\sigma _p) = \sqrt{\dfrac{p(1-p)}{n}[/tex]

=[tex]\sqrt\dfrac{0.75 (1-0.75)}{300}}[/tex]

=0.025

[tex]P(p > 0.71) = P(\dfrac{ p- \mu }{\sigma _p} > \dfrac{0.71-0.75}{0.025})[/tex]

P(z > -1.6)

1 - P(z < -1.6)

1 - 0.0548

0.9452 ( from z table )

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Ashton just launched a new business page on social media. After one month, she has 35 followers . She decides to take a course that promises to triple her number of followers each month for 6 months. After 7 months, how many followers will Ashton have if this is true?

Answers

After 7 months, then the number of followers will Ashton have if this is true will be 126.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Ashton just launched a new business page on social media.

After one month, she has 35 followers.

She decides to take a course that promises to triple her number of followers each month for 6 months.

Then the expression will be

[tex]\rm y = 35(3)^{t/6}[/tex]

where y be the number of the follower and t be the number of months.

After 7 months, then the number of followers will Ashton have if this is true will be

[tex]\rm y = 35(3)^{7/6}[/tex]

y = 126

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f(x) = (x + 1)(x-2)(x - 3)²
y
15
-2
4 5
-5
-10
-20
For the single roots -1 and 2, the graph
For the double root 3, the graph
505
10
X
the x-axis at the intercepts.
the x-axis at the intercepts.

Answers

The complete statements are:

For the single roots -1 and 2, the graph crosses the x-axis at the intercepts.For the double root 3, the graph touches the x-axis at the intercepts.

Missing part of the question

Complete the blanks for the function f(x) = (x + 1)(x-2)(x - 3)²

How to fill in the blanks?

The function is given as:

f(x) = (x + 1)(x-2)(x - 3)²

Express as products

f(x) = (x + 1) * (x-2) * (x - 3)²

Include the multiplicities

f(x) = (x + 1)¹ * (x-2)¹ * (x - 3)²

The factors that have a multiplicity of 1 are single roots, while the ones with multiplicity of 2 are double roots.

This means that:

1 multiplicity = x + 1 and x - 22 multiplicity = x - 3

The graph crosses the x-axis at 1 multiplicity and it touches the x-axis at 2 multiplicity

Hence, the terms that complete the blanks are crosses and touches, respectively

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What is the domain of the function represented by the graph?
O all real numbers
O-4≤x≤4
O-3≤ys-1
O y < 0

Answers

Answer:

pretty sure its all real numbers

Step-by-step explanation:

the arrows imply it continues onward without a defined endpoint.

domain is the grouping of x-values represented.

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