Algebra 1 is all about equations and functions. First, you learned about Linear Functions then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side.


Complete the table below. The table is created for you in the Word or PDF Worksheet. If you don't have Microsoft Word, download the PDF and create the worksheet in an application of your choice, complete the worksheet and upload it as a PDF.


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Linear Quadratic Rational Exponential Radical

Parent Function:

Notation

----------------------------

Parent Function:

Graph

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Translation:

Graph a function which extends

through quadrant 1, 2, and 4.

If it is not possible to graph

through these quadrants,

chose one or two quadrants and explain the choice.

-------------------------------------

Write the function notation

for the above function

-------------------------------------

Domain and Range of

translated function


Reflection: Write a paragraph summarizing what you learned from this activity.

Answer:

[tex]\frac{6}{14}[/tex]

Step-by-step explanation:

P(A and B) = P(A) × P(B)

~~~~~~~~

P(A) = [tex]\frac{6}{7}[/tex]

P(B) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

P(A and B) = [tex]\frac{6}{7}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{6}{14}[/tex]

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis

The two formats used in an observation checklist are: D. Performance profiles and SMART Targets.

Observation checklist can be defined as the process of observing and evaluating  a person or group of  people performance.

When carrying out an observation checklist  endeavors to make sure that  the checklists are dated.

Observation checklist includes Performance profiles and SMART Targets. Where SMART stands for:

S=Specific

M=Measurable

A=Achievable

R=Relevant

T= Time-Bound

Therefore the correct option is D.

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Answer:

m∠R = 72°; m∠U = 65°

Step-by-step explanation:

We know that in any quadrilateral, the total sum of the angles will always add up to 360°.

For number 26, we can use this equation to find x and m∠R:[tex]90+98+12x+4+10x-8=360\\(90+98+4-8)+(12x+10x)=360\\184+22x=360\\22x=176\\x=8[/tex]

m∠R = 10 (8) - 8 = 80 - 8 = 72°

For number 28, we can use this equation to find x and m∠U

[tex]96+88+11x+1+7x-5=360\\(96+88+1-5)+(11x+7x)=360\\180+18x=360\\18x=180\\x=10[/tex]

m∠U = 7 (10) - 5 = 70 - 5 = 65°

Answer:

if each was used only once, the answer would be 52080

Step-by-step explanation:

well, it's a vertical line, so, Check the picture below.

Answer:

its f

Step-by-step explanation:

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).

Answer:

Subtract 4 from 17, then divide by 3.

Step-by-step explanation:

hope this helps =)

Answer:

A.

Step-by-step explanation:

C = 2πr = πd

A. C = π(38.5 in.) = 120.95 in.

First guess: Answer: A.

200

Step-by-step explanation:

1/5x -2/3y =30

Plug in 15 for y.

x-(15)= 30

2/3x of 2/3(15) is 10.

1/5x -10-30

Add 10 to each side.

1/5x = 40

Divide each side by 1/5.

(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...*5)

x=200

The reason that best supports statement 5 is: B. multiplication property of equality.

When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.

In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.

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Answer:

Step-by-step explanation:

f(n - 4)= n - 4 + 2 = n - 2

Considering the definition of parallel and perpendicular line:

A linear equation o line can be expressed in the form y = mx + b.

where

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 9x+8y=-2. Expressed in the form y = mx + b, you get:

8y= -2 - 9x

y= (-9x -2)÷ 8

y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex]

Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of  -[tex]\frac{9}{8}[/tex] and has a form of: y= -[tex]\frac{9}{8}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= -[tex]\frac{9}{8}[/tex]× (-3) + b

2= [tex]\frac{27}{8}[/tex] + b

2- [tex]\frac{27}{8}[/tex]= b

- [tex]\frac{11}{8}[/tex]= b

Finally, the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].

The line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex].

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -[tex]\frac{9}{8}[/tex]. So:

-[tex]\frac{9}{8}[/tex]× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-[tex]\frac{9}{8}[/tex])

slope perpendicular line= [tex]\frac{8}{9}[/tex]

So, the perpendicular line has a form of: y= [tex]\frac{8}{9}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= [tex]\frac{8}{9}[/tex]× (-3) + b

2= -[tex]\frac{8}{3}[/tex] + b

2+ [tex]\frac{8}{3}[/tex]= b

[tex]\frac{14}{3}[/tex]= b

Finally, the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].

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The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Answer:

$2,422.50

Step-by-step explanation:

$2,850- 15% (427.5)= 2422.5

You could also multiply $2850 * 0.85= $2,422.5

Answer:

-9

Step-by-step explanation:

We are given the value of "a", which is 6. Let us substitute the value of "a" into the expression to determine a numerical value of 3(a - 9).

Open the parentheses to simplify the expression inside the long brackets [ ].

Subtract the expression inside the long brackets [ ]

Finally, simplify the product of 3 and -3.

Therefore, -9 is the value of 3(a - 9) when a = 6.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(a - 9)}\\\\\mathsf{= 3(\bold{6} - 9)}\\\\\mathsf{= 3(6) + 3(-9)}\\\\\mathsf{= 18 - 27}\\\\\large\text{OR EVEN \rm{3(-3)}}\\\\\mathsf{= 3(-3)}\\\\\mathsf{= -9}\\\\\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{-9}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5

Answer:

Note that #1 starts at #3 and #3 on this list ends at #5 on your page.

Answer: 12+17+8+13=50, meaning that if we wanted to scale the amount of marbles to 250, we would need to multiply by 5.

So, if we multiply each amount of marbles times 5, that would give us:

60 red marbles

85 blue marbles

40 yellow marbles

65 white marbles

now, the probability of selecting a red or white marble from the jar of 250 marbles, you would need to add together the amount of white and red marbles, and divide that by 250.

60 + 65= 125 / 250

Wwe could stop there if the question wants the answer in fractions, and just simplify, but if it needs the answer in a percentage, then you would still divide 125 by 250.

125/250=0.5

0.5 is equal to 50%

(If the fraction needs to be simplified it would be 5/10, which is also 1/2.)

Answer:

The P-value is greater than α=0.01 and she cannot conclude that there is a difference between the means.

Step-by-step explanation:

did the khan assignment

Answer:

The equation of the circle with the origin as centre and passing through the point A(-2;4)

Answer: 4:7

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Given :

Solving :

Evaluating the expression :

Answer:

5/21.

Step-by-step explanation:

Total number of balls = 7.

Prob(Blue on first pick) = 3/7

Prob(Blue on second pick) = 2/6 = 1/3

So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.

Prob(Red on first pick) = 2/7

Prob(Red on second pick) =  1/6

So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.

Now the Probability of getting 2 white balls is the same as for the red balls

= 1/21.

Finally, the probability of 2 balls of the same colour

= 1/7 + 1/21 + 1/21

= 3/21 + 1/21 + 1/21

= 5/21.

the probability of picking two balls of the same color is 5/21.

To calculate the probability of picking two balls of the same color, we need to consider all the possible combinations of drawing two balls from the bag and then determine how many of those combinations result in both balls being the same color.

Total number of balls in the bag = 7

1. Probability of picking two blue balls:

Number of blue balls = 3

Probability of picking the first blue ball = 3/7

Probability of picking the second blue ball (after one blue ball has been picked) = 2/6 (since there are 2 blue balls left after one has been picked)

Total probability of picking two blue balls = (3/7) * (2/6) = 6/42 = 1/7

2. Probability of picking two red balls:

Number of red balls = 2

Probability of picking the first red ball = 2/7

Probability of picking the second red ball (after one red ball has been picked) = 1/6 (since there is 1 red ball left after one has been picked)

Total probability of picking two red balls = (2/7) * (1/6) = 2/42 = 1/21

3. Probability of picking two white balls:

Number of white balls = 2

Probability of picking the first white ball = 2/7

Probability of picking the second white ball (after one white ball has been picked) = 1/6 (since there is 1 white ball left after one has been picked)

Total probability of picking two white balls = (2/7) * (1/6) = 2/42 = 1/21

Now, we add up the probabilities of picking two balls of the same color:

Total probability = Probability of two blue balls + Probability of two red balls + Probability of two white balls

Total probability = 1/7 + 1/21 + 1/21

Total probability = (3 + 1 + 1)/21

Total probability = 5/21

Therefore, the probability of picking two balls of the same color is 5/21.

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Area of centre rectangle

Area of right rectangle

Area of triangle

Total

If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

[tex]\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750[/tex]

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