algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14

Describe two types of transformations that can be used to transform f(x) to g(x)

Solve for k in each type of transformation.

Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

Answer 1
f(x)=0,-1,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
K=-6
A)
B) g(x)=f(x)+k
-1=-1+ k
k=-1+1=0
> 5.0
q(x)=f(x)+k
-1=5+k
k=-1-5=-6
g×=f×+k
14= 14+k
k= 0
K=-6,0,-6,0

Related Questions

Which functions could be represented by the graph? Check all that apply.

f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|

Answers

The possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

The parent function of an absolute value function is:

[tex]f(x) = |x|[/tex]

From the diagram (see attachment), we can see that the function is shifted to the right by few units.

The rule of this translation is:

[tex](x,y) \to (x + b,y)[/tex]

Where b represents the number of units.

So, we have:

[tex]f(x) = |x + b|[/tex]

From the list of given options, the possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

Read more about function transformation at:

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Answer:

c and f are correct

Step-by-step explanation:

An art teacher divided her students into two groups of equal size.

25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?

Answers

Answer:

67.5% or 68%

Step-by-step explanation:

Say each group has 100 students. 25% of 100, is 25 students.

25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.

60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.

25+40=65

60+75=135

That is true, since there are 200 students in total.

Now set up a ratio, with watercolor over acrylic.

135:65

135 is 67.5% of 200.

I really don't know if that is a choice, so maybe 68%?

-hope it helps

I need help on this question. please help me.. I don't have idea on this.​

Answers

Answer:

D.

Step-by-step explanation:

5(-4 +10) × 4.8 ÷ [tex]\frac{3}{4}[/tex]

5(6) × 4.8 ÷ [tex]\frac{3}{4}[/tex]

30 × 4.8 ÷ [tex]\frac{3}{4}[/tex]

30 × 4.8 × [tex]\frac{4}{3}[/tex]

_________________________________

Hope this helps!!

If I have made a mistake, please let me know; I enjoy leaning from them:)

Answer:

Step-by-step explanation:

Find the change in profit in dollars for each owner.
A. –43,200
B. 675
C. –675
D. 5,39

Answers

I read the question, and I am unable to answer that
I need to know other things besides the profit for each owner
I need to know the prior accounting period's profit for each owner

Write an expression to model each situation.


Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________



A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________

Answers

The first one should be:
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.

the second one should be:
2/3 x 2 + 1/4

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

Learn more about the expression here:

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2.5 times 1.75 times 2.49

Answers

Answer:

The answer to this equation is 10.89375

-
If AACB = ADCE, ZCAB = 50°,
ZDCE = 45°, and ZCDE = 10x
=
D
E
с
x = [?]

Please help

Answers

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

help i have math homework and im real bad at it i got a B- last year so help

Answers

4y-12 is the answer
4y-12 is correct. whatever number is outside of the parentheses you just multiply that with the two numbers in the parentheses to distribute :)

a point moves so that it's y-coordinate is always 2 less than it's x-coordinate.
1) write an equation for it's path
2)where does it cross the x-axis
3) where does it cross the y-axis
4) what is it's slope

Answers

Step-by-step explanation:

y is always 2 less than x

1) y = x- 2

2) where does it cross the x-axis ? that means y = 0.

0 = x - 2

x = 2

3) where does it cross the y-axis ? that means x = 0

y = 0 - 2 = -2

4) the slope is always the factor of x.

in

y = x - 2.

the factor of x is simply +1.

If its y-coordinate is always 2 less than its x-coordinate, this is expressed as y = x - 2

Slope and equations

From the given information

Let the y-coordinate be yLet the x-coordinate be x

If its y-coordinate is always 2 less than its x-coordinate, this is expressed as:

y = x - 2

The equation of the path is y - x - 2

2) The point where th line cuts the x-axis is at y = 0

0 = x - 2

x = 2

The point is at (2, 0)

3) The point where th line cuts the y-axis is at x = 0

y = 0 - 2

y = -2

The point is at (0, -2)

4) The standard equation of a line is y = mx + b where m is the slope. Given the equation y = x - 2

Comparing:

mx = 1x

m = 1

Hence the slope of the equation is 1

Learn more on slopes and intercept here: https://brainly.com/question/25826868

HELP QUICK WILL GIVE BRAINLIEST

Answers

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?

Answers

Answer:  150 students

Step-by-step explanation:

Let X be the total number of students.  We are told that:

0.60X = 90 students

X = (90 students)/0.60

X = 150 students

stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ? ​

Answers

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

646/680

Add Percentage

646/680 * 100%

By Division

0.95 * 100%

Then, Multiply

95%

We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.

Answers

Answer:

W = 16 2/3 yards

L = 3 1/3 yards

Step-by-step explanation:

A rectangle will consist of two sides with length L, and two more sides with length W.  Area will be W*L.

We are told that L is 30 yards less than 2W:

L = 2W - 30

We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.

Therefore, we can write:  2W + 2L = 60 yards.

I see the words "need to use," so I must conclude that all of the fencing must be used.  This sounds like a domestic issue.

Let's use L=2W-20 in the equation 2W + 2L = 60:

2W + 2L = 60

2W + 2(2W-20) = 60

2W + 4W-40 = 60

6W =100

W = (100/6) = 16 2/3 yards

L = 2W - 30

L = 2(16+(2/3)) - 30

L = 33 1/3 - 30

L = 3 1/3 yards

===============

Is the length 30 yards less than twice the width?

2W = 33.33

33.33 - 3.33 = 30 yards  YES

Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)

Answers

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553

What is the approximate area of the home including the balcony.

Answers

Answer:

LxWxH=A

Step-by-step explanation: multiply LxWxH=A

Select the quadrant or axis where each ordered pair is located on a coordinate plane.
Quadrant I Quadrant II Quadrant III Quadrant IV x-axis y-axis
(-2 1/2, -7)
(0,6)
(-5,0)

Answers

Answer:

IV

y-axis

x-axis.

Step-by-step explanation:

(-2 1/2, -72)  -  2 negative values so: Quadrant IV.

(0, 6):  When x = 0 we are on the y-axis,

(-5, 0):  if y = 0 its the x-axis.

A function is described by the equation f(x) = x² +5. The replacement set for the independent
variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the
dependent variable?

Answers

Answer:

5

Step-by-step explanation:

5 =5 +5+5=5+5

Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)

Answers

With the center of dilation at the origin, the image is given by the product

of the corresponding point on the preimage and the scale factor.

The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]

Reasons:

The center of dilation of quadrilateral MNOP = The origin

The image following the dilation of MNOP = M'N'O'P'

The scale factor of dilation = 1.5

Required:

The coordinates of N'

Solution:

The coordinates of N in MNOP = N(3, 3.5)

The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;

(x', y') = Scale factor × (x, y)

Which gives;

The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)

The coordinates of N' = C) (4.5, 5.25)

Learn more about dilation transformation here:

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Answer:

C) (4.5, 5.25)

Step-by-step explanation:

HELPPPPPPOOOO SHOW WORKING ALSO THANKS

Answers

Step-by-step explanation:

I have explained that in the sheet

Kate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Kate added 5 cards to the stack. Elena then took 8 cards from the stack. Finally, Kate took 7 cards from the stack. How many cards were left in the stack?

Answers

Answer:

15

Step-by-step explanation:

step 1: 25+5=30

step 2: 30-8=22

step 3:22-7=15

simplify an expression for the perimeter of the rectangle

Answers

3w+3w+(5w-2)+(5w-2)
6w+10w-4
16w-4

16w-4
Hope this helps!!

The expression for the Perimeter of rectangle is 16w-4.

What is perimeter of rectangle?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

length  = 5w-2

width = 3w

Perimeter of the rectangle = 2(length+width)

Perimeter = 3w+3w+(5w-2)+(5w-2)

= 6w+10w-4

= 16w-4

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1 half times 2 / 6 times six plus four​

Answers

[tex] \bold{answer \: \: \to} \\ 1\frac{1}{2} \times \frac{2}{6} \times \frac{6}{1} + 4 = \\ = \frac{3}{2} \times \frac{1}{3} \times \frac{6}{1} + 4 \\ = \frac{3}{6} \times \frac{6}{1} + 4 \\ \ = \frac{18}{6} + 4 \\ = 3 + 4 \\ = \boxed{ \bold{7}}[/tex]

Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?

Answers

The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.

Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:

= 100 + tip

= 100 + (100 x 15%)

= $115

In percentage this is:

= 115/100 x 100%

= 115%

In conclusion, Jeremy would pay 115% of the tip.

Find out more at https://brainly.com/question/22444616.

How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches

Answers

Answer:

24 screeches

Step-by-step explanation:

20M=12L=8P=24S

Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98

Answers

C) 88

Explanation: trust me

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

solve similar triangles (advanced)

Answers

Answer:

x = 3/2

Step-by-step explanation:

ΔACB ≈ ΔAED due to hypotenuse-leg theorem

therefore, BC/BA = DE/AD

4/6 = 5/(x+6)

cross-multiply to get:

4(x+6) = 6(5)

4x + 24 = 30

4x = 6

x = 6/4 or 3/2

check:

4/6 = 5/7.5; the cross-products are both equal to 30

4.5 times 9 times 6.5 please make it a fraction or whole number also no links bots or anything like that please

Answers

Answer:

263.25

Step-by-step explanation:

Your welcpme and stay safe

Answer:

fraction; 263.25/100

whole number; 263

Step-by-step explanation:

4.5 × 9 × 6.5;

4.5 × 6.5 = 29.25

29.25 × 9 = 263.25

help ASAP please which too answers are correct ​

Answers

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

Which of the following functions is graphed below

Answers

B. The quadratic is x < 3and the linear is x > or = 3

#3: Classify the number below. Select all that apply.

-8

A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural

Answers

The answer would be C and D
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