Please give me the answers for a-d

Please Give Me The Answers For A-d

Answers

Answer 1

The value of different f(x) for different value of 'x' in the given graph is f(-3) = -1 , f(-2)=0. f(-5)= 3, f(-4) =0

Given that, The f(x) graph we can observe that it is a shifted parabola.

How to translate a parabola?

We can translate the parabola vertically to produce a new parabola that is similar to the basic parabola. The function [tex]y=x^2 + b[/tex] has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards.

Similarly, we can translate the parabola horizontally. The function[tex]y =(x-a)^2[/tex]has a graph which looks like the standard parabola with the vertex shifted a units along the x-axis. The vertex is then located at (a,0). Notice that, if a is positive, we shift to the right and, if a is negative, we shift to the left.

So, for the given question

b = parabola shift unit along y-axis = -1 units

a = parabola shift unit along x-axis = -3 units

So, equation of parabola = [tex]f(x)=y = (x+3)^2-1[/tex]

Now,

for x = -3. f(-3)=[tex](-3+3)^2-1=-1[/tex]

So, f(-3)= -1

x = -2. f(-2)=[tex](-2+3)^2-1=0[/tex]

So, f(-2)= 0

x = -5. f(-5)=[tex](-5+3)^2-1 = 3[/tex]

So, f(-5)= 3

x = -4. f(-4)=[tex](-4+3)^2-1=0[/tex]

So, f(-4)= 0

Therefore, from the graph f(x),  value of f(x) for diiferent value of x is f(-3)=-1. f(-2)=0.f(-5)=3.f(-4)=0.

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Related Questions

Marc wants to qualify for the 200-meter dash at the school championship.
In order to qualify, his mean running time for 5 races must be no greater than 22.8 seconds.
A list of Marc's running times, in seconds, for his first 4 races is shown.

23.1, 23.2. 22.8, 21.9

What is the maximum running time, in seconds, Marc can have in his last race in order to qualify for the championship? Round the answer to
the nearest tenth.

______ seconds

Answers

the maximum time that he can have in his last race is 23 seconds.

What is the maximum running time, in seconds?

We know that the average can not be greater than 22.8 seconds, then if x represents the time of the last race, the maximum value that x can take is given by the equation:

(23.1 + 23.2 + 22.8 + 21.9 + x)/5 = 22.8

(That is the equation for the mean of the 5 times)

Solving that for x we will get:

(23.1 + 23.2 + 22.8 + 21.9 + x) = 5*22.8

91 + x = 114

x = 114 - 91 = 23

So the maximum time that he can have in his last race is 23 seconds.

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Message instructor about this question
-Match each part of the explicit formula relating the term values and term positions in an arithmetic sequence with the best description of what it
represents.
Note that you might use some choices more than once and might not use all choices.
ar+d(n-1)
11
Submit
a. the change in the term value when the position changes from the first term to the nth term
b. the change in the term value when the position changes by 1
c. the value of the term a
d. the value of the term at position n
e, the value of the term 0-1
f. the position of the term an
g. the change in the term position from the first term to the nth

Answers

Using arithmetic sequence concepts, the matching terms are given as follows:

[tex]a_n[/tex]: d.[tex]a_1 + (n - 1)d[/tex]: a.n: f.d: b.d(n - 1): e.n - 1: g.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Hence, in this problem, the terms are classified as follows:

[tex]a_n[/tex]: value of the term at position n, hence it matches with item d.[tex]a_1 + (n - 1)d[/tex]: change in the term value when the position changes from the first term to the nth term, hence item a.n: position of the term [tex]a_n[/tex], hence item f.d: common ratio, which is the change in the term value when the position changes by 1, hence item b.d(n - 1): value at the position n - 1, hence item e.n - 1: the change in the term position from the first term to the nth, hence item g.

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Determine the slope of the line that contains the given points.
J(7,-3), K(-8,-3)

Answers

The slope of the line containing (7,-3) and (-8,-3) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = -3 , [tex]y_{1}[/tex] = -3 , [tex]x_{2}[/tex] = -8 , and [tex]x_{1}[/tex] = 7 .

On substituting the values of variables in equation1, we will get

m = ( (-3)-(-3) ) / ( (-8)-(7) ) = (0/(-15)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

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PLEASEEE HELP!!!!!!!!

Answers

Answer:

108°

Step-by-step explanation:

Since angle WYT and angle UYW lie on the same line, we can use linear pair fidn the answer.

That is: 180-72= angle UYW

Therefore angle UYW=108°

-Hence proved:)


Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=-6, b=9

Answers

The slope-intercept form is y = mx + b.

If the value of m = -6 and b = 9 then 6x + y = 9 be the standard form.

What is meant by slope intercept form?

Y = mx + b is the general formula for the slope-intercept form, where m stands for the line's slope and b for the y-value of the line's y-intercept. We may more easily determine a line's slope and its y-axis intersection using the slope-intercept form of a linear equation.

Let the value of m = -6(slope)

b = 9 (y -intercept)

The slope-intercept form is given by,

y = mx + b

y = -6x + 9

Therefore,  y = -6x + 9  is the slope-intercept form

Standard form is given by, Ax + By = C

Since, slope-intercept form is y = -6x + 9

6x + y = 9

Therefore, 6x + y = 9 is the standard form.

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Determine the truth value of the given conditional statement. If true, explain your reasoning. If false, give a counterexample.

If a number is divisible by 6 , then it is divisible by 3 .

Answers

The given conditional statement is true that is  If a number is divisible by 6, then it is divisible by 3".

What are conditional statement?

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as;

p⇒q, and read  "if p then q"

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that AB^2 = BC^2 + AC^2

"If a number is divisible by 3, then it is divisible by 6." is the inverse of the conditional statement "

Thus If a number is divisible by 6, then it is divisible by 3".

Therefore, the given conditional statement is true that is  If a number is divisible by 6, then it is divisible by 3".

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The garden and a walkway around its perimeter have an area of 378. Find the width of the walkway if the garden measures 12 feet wide 15 feet long

Answers

The width of walkway is 3 feet.

What is rectangle ?

A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other. The diagonals of a rectangle bisects each other into equal segments.

We have been given that the garden and the walkway around its perimeter have an area of 378 square feet.

Let us suppose the width of the walkway is x feet.

the length of garden and the walkway will be = 15+2x

and, the breadth of garden and the walkway will be = 12+2x

Now, area of the garden and the walkway around its perimeter is given by :

A = (15+2x)(12+2x)

A = 4x^2 + 54x + 180

Now, the area is given is given as 378 square feet. Hence, we have

4x^2 + 54x + 180 = 378

4x^2 + 54x -198 = 0

Using quadratic formula to find the roots of above equation we get :

x = 3, -33/2

Taking positive value of x that is 3 as area cannot be negative.

Therefore, the width of walkway is 3 feet.

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Find the midpoint of the line segment with the given
endpoints.
(-4, 5) and (2, 5).

Answers

Answer:

Midpoint = (-1, 5)

Step-by-step explanation:

                     x₁  +  x₂         y₁   +   y₂

Midpoint = (--------------- , -----------------)

                          2                   2

                     -4  +  2         5  +   5

Midpoint = (--------------- , -----------------)

                          2                   2

                         -2                  10

Midpoint = (--------------- , -----------------)

                          2                   2

Midpoint = (-1, 5)

I hope this helps!

1. Find a rule for the following table. Write your rule as a
sentence relating the input and the output.
Rule:
C
Input
O
Output
59
29
39
119
No output
39

Answers

Step-by-step explanation:

The attached image should be what you're looking for.


Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
P(-2,-5,8) and Q(3,-2,-1)

Answers

The midpoint is at (1/2 , -3, 7/2 )

In the given statement is

To find the midpoint of the line segment joining the pair of points

P(-2,-5,8) and Q(3,-2,-1)

Midpoint:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

m = (A +B)/2

If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =( [tex]\frac{x_{1}+x_{2} }{2}[/tex] ,[tex]\frac{y_{1}+y_{2} }{2}[/tex] , [tex]\frac{z_{1}+z_{2} }{2}[/tex])

where:

(x1 , y1 ,z1) are the coordinates of the first point:

(x2 , y2 , z2) are the coordinates of the second point:

Now, We are given the three points P(-2,-5,8) and Q(3,-2,-1)

Solving for the midpoint , we have,

m = ([tex]\frac{-2 + 3}{2} , \frac{-5+ (-2)}{2} , \frac{8 +(-1)}{2}[/tex])

m = (1/2 , -3, 7/2 )

Therefore, the midpoint is at (1/2 , -3, 7/2 )

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Factor the expression: 3x² - 7x + 2

Answers

Answer:

2 or 1/3

Step-by-step explanation:

by getting the product and sum,then the roots

Are 1 divided by 3/4 and 1/3 divided by 4 equivalent fractions?

Answers

Answer:

No Because 1/1 : 3/4 = 4/3 and 1/3 : 4/1 = 1/12

A room has an area of 32 square feet. How many square inches is that? How many square
yards?

Answers

Answer:

In bold below.

Step-by-step explanation:

There are 12*12 = 144 square inches in a square foot.

So, there are 144 in^2 per 1 ft^2

So, we have:

               144 in^2

32 ft^2     -----------   =      4608 in^2.

                   1 ft^2

For yards it is 1 yd^2 per 9 ft^2 :-

                  1 yd^2

32 ft^2 =   ------------ =   3.56 yd^2.

                    9 ft^2

Evaluate the equation: 6w = 180

w =

Answers

Answer: Evaluate

6w=180

Divide both sides

6

6w = 6

180

Simplify

6

6w =30

Solution

w=30

Step-by-step explanation: hope this helps


Four friends are sitting at a table together at the prom. What is the probability that a particular one of them will sit in the chair closest to the dance floor?

Answers

The probability that a particular one of them will sit in the chair closest to the dance floor is 1/4.

Linear Permutation:

Linear permutation defines the number of ordered arrangement of objects in a line while circular permutations is an ordered arrangement of objects in a circular manner.

Given,

Four friends are sitting at a table together at the prom.

Here we need to find  the probability that a particular one of them will sit in the chair closest to the dance floor.

Since the samples are arranged with a fixed reference point, this is a linear permutation.

So there are 4! or 24 ways in which the samples can be arranged.

The number of favorable outcomes is the number of permutations of the other 3 people given that a particular one of them will sit in the chair closest to the dance floor, 3! or 6.

Therefore, the probability is

=> 6/24

=> 1/4.

Therefore, the probability that a particular one of them will sit in the chair closest to the dance floor 1/4.

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I need help with the answer for Geometry, could someone help?

Answers

Answer:

48

Step-by-step explanation:

ABC is a right triangle so the masure of ∠A = 90°

The sum of interior angles in a triangle is equal to 180 so we will write an equation accordingly to find the

missing angle:

90 + 2x + 14 + 4x - 26 = 180 add like terms

78 + 6x = 180 subtract 78 from both sides

6x = 102 divide both sides by 6

x = 17

Now replace x with 17 to calculate the measure of m∠B

2*17 + 14 = 48


Amy hiked due east for 2 miles and then hiked due south for 3 miles.

b. How far and in what direction is Amy from her starting position?

Answers

The distance between Amy's initial and final position is 1 mile and she is facing South direction

It is given that,

Amy first moves towards East direction in reference to her initial position  for 2 miles

The distance covered by Amy in East direction = 2 miles

Then,

Amy moves towards South direction in reference to her initial position(facing East side) for 3 miles

The distance covered by Amy in South direction = 3 miles

We need to find,

The distance between Amy's initial and final position which will be given by the displacement between both points

Let's say that the positive direction is East and the negative direction is south.

The distance covered by Amy in East direction = + 2 miles

The distance covered by Amy in South direction = - 3 miles

Then , +2 +(-3) = -1

Hence, the distance between Amy's initial and final position is 1 mile and she is facing South direction

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okay can someone help me with this question please! it says look at the given exponents 7 and 4 how can we easily combine them to get our result?

Choices are
[7] [4]
7/4
7-4
7+4​

Answers

Answer:

7+4 (11)

Step-by-step explanation:

I think you are asking about an equation that looks like this

x^7*x^4

When multiply exponents they are added together and the sum is what the new exponent is.

7+4=11

11 is the new exponent

x^11

So I believe the answer would be 7+4? But I don't fully understand what your question is.

The answer is [7][4]

Half the difference of k and 18

Answers

Answer:

k and 16

Step-by-step explanation:

I will cry

Nan

nnan

Nan

What is the common ratio in the geometric sequence 4,10,25,62.5, . . . . . ?
(A) 0.4 (B) 2.5 (C) 15 (D) 25

Answers

The common ratio of the geometric sequence 4, 10, 25, 62.5, . . . is 2.5. The answer is B.

A geometric sequence refers to a sequence of numbers, which the next term is obtained by multiplying the previous term with a constant, called a common ratio.

a(n) = a r^(n-1)

Where:

a(n) = nth term

a = first term

r = common ratio

The common ratio must be the same for all pairs of succeeding term to be called a geometric sequence.

To find the common ratio, use the formula

a(n) = a r^(n-1)

let n = 2, a = 4, a(2) = 10

10 = 4(r^(2 - 1)

10 = 4(r)

r = 2.5

Or just simply divide each succeeding pairs of the sequence.

r = 10/4 = 2.5

r = 25/10 = 2.5

r = 62.5/25 = 2.5

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In right AABC with mzC-90°, mzB-75°, and AB = 12 cm. Find the area
of AABC.

Answers

The area of triangle ΔABC with ∠C = 90°, ∠B = 75° an AB = 12 cm will be 18.16 square centimeters.

We have a right - angled triangle ΔABC.

We have to find the area of ΔABC.

What is Pythagoras theorem ?

Pythagoras theorem states - In a right - angled triangle ΔABC, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically -

h² = b² + p²

According to the question -

(Refer to the image attached)

∠C = 90°

∠B = 75°

AB = 12 cm

Now -

sin 75° = AC/AB

AC = AB sin(75°) = 12 sin(75°) = 12 x 0.97 = 11.64 cm

and

tan 75° = AC/BC

BC = AC/tan(75°) = 11.64/3.73 = 3.12 cm

Therefore, the area of triangle ΔABC -

A = 1/2 (AC x BC) = 0.5 x 3.12 x 11.64 = 18.16 cm²

Hence, the area of triangle ΔABC will be 18.16 cm².

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How do I write a percent problem for which the percent is greater than 100 and the part is known???

Answers

Percentages greater than 100% can be expressed as x% where x is any real number

How to express a percentage greater than 100%?

As a general rule, percentages are represented by %

Take for instance

x% is pronounced x percentage

Where x is any real number

Whether x is greater than 100 or not, the format of the expression remains the same

i.e. 150 percent is written as 150% and 25 percent is written as 25%

Hence, percentages greater than 100% can be expressed as x% where x is any real number

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The mean income of households in the US is $75,000 per year. The median household income in the US is $42,000 per year. Describe the shape of income in the US. skewed left, mean > median skewed left, mean < median skewed right, mean > median skewed right, mean < median

Answers

Answer:

skewed right, mean > median

Step-by-step explanation:

just did it

Answer:

skewed right, mean>median

Step-by-step explanation:

edge 2023


Write an algebraic proof.
Given: Δ XYZ with medians XR , YS, ZQ


Prove: XP/PR=2

Answers

According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.

What is meant by Centroid Theorem?

The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.

Consider the algebraic relationships that exist for triangle medians.

The centroid of a triangle is 2/3 the distance from one vertex to the midpoint of the opposite side, according to the Centroid Theorem.

Given: [tex]$\triangle XYZ[/tex] with medians [tex]$\overline{X R}[/tex], [tex]\overline{Y S}$[/tex], and [tex]$\overline{Z Q}$[/tex].

By using Centroid Theorem, we get

1. XP = 2/3 XR

2. XR = XP + PR( Segment Addition Postulate)

3. XP = 2/3(XR+PR) (Substitution Property)

4. XP = 2/3 XP + 2/3 PR (Distributive Property)

5. 1/3 XP = 2/3 PR(Subtraction Property)

6. XP = 2PR (Multiplication Property)

7. XP/PR = 2 (Division Property)

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Read the problem. Identify what you need to know. Then organize the data to solve the problem.

Alana has the letter tiles A, H, M , and T in a bag. If she selects a permutation of the tiles at random, what is the probability she will spell the word MATH?
A. 1/4
B. 1/12
C. 3/50
D. 1/24

Answers

The probability she will spell the word MATH P(MATH) is  1/12

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given ; Alana has the letter tiles A, H, M , and T in a bag. If she selects a permutation of the tiles at random.

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

Permutations of "MATH"

4P4 = 4! = 24

Two of the 'MATH" s we can get as a result

Then the probability she will spell the word MATH

P(MATH) = 2/24 = 1/12

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Evaluate the expression when a= -6 and c=4


-c +6a

Answers

Answer:

x=3: 2(3) = 6.

Step-by-step explanation:

Determine whether the equation below has a one solution no solution or an infinite number of solutions afterwords determine two values of X I support your conclusion X -2 equals -2+ X

Answers

The given equation is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

How many solutions has the given equation?

Here we have the linear equation:

x - 2 = -2 + x

And we want to see how many solutions it has, so let's solve it.

IF we add 2 in both sides we will get:

x - 2 + 2 = -2 + x + 2

x + (-2 + 2) = x + (-2 + 2)

x = x

Now, that is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

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PLEASE HELP SOLVEEEEE

Answers

Answer:

10 24 32 are the answers

Step-by-step explanation:

My mom is a teacher lol


If P Q R S is translated along <3,-2 >, reflected in y=-1, and rotated 90° about the origin, what are the coordinates of P''' Q''' R''' S''' ?

Answers

P'''( 1 , -2 )     Q'''( 0 , 1)   R'''( -1 , 3 )    S'''( -2 , 0) are the coordinates of P''' Q''' R''' S''' .

What does the term "coordinates" mean?

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.

( x , y)  →  ( x + 3 , y - 2 )

p' ( -2, -1 )     Q' ( 1 , 0)    R'( 3, -3 )   S'(0, -4 )

( x , y )  →   ( x , -2 - y)

p''(-2 , - 1 )   Q''( 1 , 0 )     R''( 3 , 1 )      S''( 0,2 )

( X , Y ) →  ( -Y , X )

P'''( 1 , -2 )     Q'''( 0 , 1)   R'''( -1 , 3 )    S'''( -2 , 0)

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HELP WITH THIS PROBLEM PLS PLS

Answers

Answer:

Here,

MP=MN+NP=17+3y

or, 5y+9=17+3y

Now do equation and find the value of y.

Answer:

MP = 29

mp = mn + np

17 + 3y = 5y + 9

2y = 8

y= 4, NP = 3(4) = 12

so, MP = mn + np.... 12 + 17

MP = 29

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