Question 8 Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answer:

7x² - 2x + 11

Step-by-step explanation:

(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)

7x² + 11 - 2x → 7x² - 2x + 11

Answer: 7x² - 2x + 11

Hope this helped! :)

Answer:

7x^2-2x+11

Step-by-step explanation:

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

Answer:

Translated up by 1 unit.

Step-by-step explanation:

According to the diagram below, if you were to do the (square root of X + 1), then the graph would be translated to the left by 1 unit. If you were to do the square root of X + 1, the graph would be translated up by 1 unit.

Hope this helps!

Answer:

messy... but hope it helps you.

Answer: just graph these two equations

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value

Answer:

use this hope help you

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

Answer:  8

Step-by-step explanation:

The formula for the sum of the angles of a polynomial is:

[tex]S_n=180(n-2)[/tex]

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

Answer:

8

Step-by-step explanation:

It's an octagon

Answer:

(Option b): segment BC = segment B double prime C double prime over 3

A complete question related to this found at brainly (ID: 13432500) is stated below:

Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between segment BC and segment B double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3

a) segment B double prime C double prime = segment BC over 3

b) segment BC = segment B double prime C double prime over 3

c) segment B double prime C double prime over segment BC = one third

d) segment BC over segment B double prime C double prime = 3

Step-by-step explanation:

Scale factor = 3

∆ABC = original image

∆ABC was dilated to get ∆A"B"C"

∆A"B"C" = new image

DO(x,y) →3(x,y)

To determine which equation explains the relationship between segment BC and segment B"C", first we would find the distance B and C.

Coordinates of ∆ABC

A =(-3, 3)

B= (1, -3)

C= (-3, -3)

The distance B and C = length of Segment BC

the distance between two points = √[(∆x)² + (∆y)²]

= √[(-3-(-3))² + (-3-1)²] = √[(-3+3)² + (-3-1)²]

= √(0+16) = √16 = 4

Length of Segment BC = 4 units

Length of Segment B"C" = scale factor × Length of Segment BC

B"C" = 3 × BC = 3(4) = 12

Since what we need is the equation of the relationship between the segments

B"C" = 3 × BC

BC = B"C"/3

(Option b): segment BC = segment B double prime C double prime over 3

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

its (x+1,y+-3)

Answer:

Step-by-step explanation:

(4^2/5)^1/4

first multiply the exponent

2/5*1/4=2/20=1/10

4^1/10= 10√4(the ten is on the top to the square root)

Answer:

EF corresponds to E'F'.

∠EDG Is-congruent-to ∠E'D'G'

∠DEF Is-congruent-to ∠D'E'F'

The transformation is a rigid transformation.

Step-by-step explanation:

Which statements are true regarding the transformation? Check all that apply.

EF corresponds to E'F'.

FG corresponds to G'D'.

∠EDG Is-congruent-to ∠E'D'G'

∠DEF Is-congruent-to ∠D'E'F'

The transformation is not isometric.

The transformation is a rigid transformation.

Answer: Transformation is the moving of the location of a point from one place to another. If an object is transformed, all the points of the object are also transformed. There are four types of transformation: reflection, dilation, rotation and translation.

Points  DEFG is mapped to D’E’F’G, The corresponding lengths and angles of the parallelogram still remains the same, Therefore the following applies:

EF corresponds to E'F'.

∠EDG Is-congruent-to ∠E'D'G'

∠DEF Is-congruent-to ∠D'E'F'

FG does not corresponds to G'D' because their lengths are not corresponding but are adjacent.

The transformation is a rigid transformation. A rigid transformation (isometric) preserves the length of the object.

Answer:

EF corresponds to E'F'

<EDG=<E'D'G'

<DEF=D'E'F'

The transition is a rigid transformation

Step-by-step explanation: jus did it and passed edg 2020

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

Answer:

y ≈ 2.1

Step-by-step explanation:

If you look at the graph and locate on the x axis 2, you can see that directly above on the line is a little more than 2.

Answer:

678

86

8

Step-by-step explanation:

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

Answer:

Lucio podrá armar 5 grupos iguales de estampillas.

Step-by-step explanation:

El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:

-30: divisible por 2, 3, 5, 6, 10, 15 y 30.

-75: divisible por 3, 5, 15, 25 y 75.

-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.

Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.

Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.

Answer:

0.5

Step-by-step explanation:

2-0=-2

-3-1=-4

-2/-4=0.5

Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

The equation that has the steepest slope is y = -14x + 1

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

Learn more about slope: brainly.com/question/3493733

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Answer:

Y=-14x+1

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

make y the subject

y= 5x + 3

perpendicular line needs the reciprocal of the gradient

y = 1/5x + c

substitute in the point

1 = 1/5(5) + c

5/5 = 1 so the answer is y = 1/5x

hope this is helpful!

The required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (5, 1)

The required line is perpendicular to the line 5x - y = -3

⇒ 5x - y = -3

⇒ - y = -5x - 3

⇒ y = 5x + 3

Comparing above equation with slop-intercept form of the line.

m = 5

Let m1 be the slope of the required line.

We know that the product of the slopes of perpendicular lines is -1.

⇒ m1 × m = -1

⇒ m1 = [tex]\frac{-1}{5}[/tex]

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (5, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = [tex]-\frac{1}{5}[/tex] (x - 5)

⇒ y - 1 = [tex]-\frac{1}{5}x[/tex] + 1

⇒ y =  [tex]-\frac{1}{5}x[/tex] + 2

Therefore, the required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

Learn more about equation of line here:

brainly.com/question/21511618

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Answer:

              multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Step-by-step explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so:   -4y = -20

Answer:

Multiply the second equation by −3 to get −3x − 9y = −30.

Step-by-step explanation:

Answer:

{-3, 2, 7, ...... } is the range of given function.

Step-by-step explanation:

We are given that the function is defined as:

[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].

To find:

Range of the given function = ?

Solution:

First of all, let us have a look at the definition of Domain and Range.

Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.

For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.

Range of a function f(x) is the set of output that is valid according to the input given.

For the given equation, let us put the value of x one by one and try to find out the value of y.

Putting x = -1 first:

[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]

Putting x = 0:

[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]

Putting x = 1:

[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]

So, the range is : {-3, 2, 7,......}

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

Hello!

[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]

__________________________________________________

We can solve this expression using the order of operations.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(In some places it might be called BEDMAS).

(9-3)+4(6-7)

Start by solving the brackets (parentheses).

6 + 4(-1)

Next, we must multiply 4 by -1.

6 + (-4)

This can be written as:

6 - 4

= 2

I think you meant to put 2 instead of 20 in the options.

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33