Answer:
The final transformed function becomes:
[tex]f(x)=-3\,|x-2|+4[/tex]
Step-by-step explanation:
The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:
[tex]f(x)= 3\,|x|[/tex]
second transformation (shifted left 2 units) means we add 2 units to "x":
[tex]f(x)=3\,|x+2|[/tex]
third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:
[tex]f(x)=3\,|x+2|-4[/tex]
fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":
[tex]f(x)=(-1)\,(3\,|x+2|-4)\\f(x)=-3\,|x-2|+4[/tex]
Step-by-step explanation:
Step 1: Add the vertical stretch
[tex]f(x) = |x|[/tex]
[tex]f(x) = 3|x|[/tex]
Step 2: Shift it to the left 2 units
[tex]f(x) = 3|x|[/tex]
[tex]f(x) = 3|x + 2|[/tex]
Step 3: Shift it down 4 units
[tex]f(x) = 3|x + 2|[/tex]
[tex]f(x) = 3|x + 2| - 4[/tex]
Step 4: Reflect it across the x-axis
[tex]f(x) = 3|x + 2| - 4[/tex]
[tex]f(x) = -3|x + 2| - 4[/tex]
Answer: [tex]f(x) = -3|x + 2| - 4[/tex]
What is the product ? a-3/15a × 5/a-3
1/3
1/3a
За
3
The product of the expressions is 1/3a option the second 1/3a is correct after simplification.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{a-3}{15a} \times \dfrac{5}{a-3}[/tex]
After simplification:
[tex]=\rm \dfrac{1}{15a} \times \dfrac{5}{1}[/tex]
= 1/3a
Thus, the product of the expressions is the 1/3a option the second 1/3a is correct after simplification.
Learn more about the expression here:
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I need help answering this one
Answer:
9 units
Step-by-step explanation:
when 0 acts as center ; the circle is 9 units form the centerfrom the graph
hope this helps
plzz mark me brainliest
Answer:
The answer is 9
Step-by-step explanation:
The radius is always half from across the entire circle.
Describe the relationship between x and y in a line with negative slope.
A. y stays constant as x increases.
B. y decreases as x increases.
C. y decreases as x stays constant.
D. y increases as x increases
Answer:
BBBBBBBBBBBBBBBBBB
Step-by-step explanation:
worth 50 points !!! brainliest will be given to the best answer if 2 people answer.
I’m Mrs. Miller’s last will and testament, she leaves half of her money to her cat, Maggie, and half that amount to her dog, Chop Chop. She leaves a sixth to her goldfish, Bruno. And she leaves the remainder of her money, $1000, to her parakeet, Philomena. How much money is she leaving in total?
Answer:
1/2 + 1/4 + 1/6 = 3/4 + 1/6 = 11/12 .
1/12 = 1000
1=1000*12
1=12000
Rectangle A measures 3cm by (8x - 7)cm and rectangle B measures 4cm by (5x + 2)cm. Area of both rectangles is equal. Create the equation and find the value of x.
please help me i will mark you brainliest
Answer:
Equation: 3 (8x - 7) = 4 (5x + 2)
Value of x =7.25 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: width x length
Replacing with the values given:
Area A = 3 (8x - 7)
Area B = 4 (5x + 2)
Since both areas are equal:
Area A = Area B
So:
3 (8x - 7) = 4 (5x + 2)
Solving for x:
24x -21 = 20x+8
24x-20x =8+21
4x =29
x =29/4=7.25 cm
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Question. A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.
Answer:
1/30 or 3.333%
Step-by-step explanation:
The areas of the sides of a rectangular box are
10 in.2, 14 in.2, and 35 in.2 What is the volume of the box?
Answer:
4900 In. Squared
Step-by-step explanation:
The formula for calculating volume is Length X Base X Height
So as you can see, the way you would solve this problem si by doing
10 X 14 X 35 which would give you the final answer of
4900 Inches Squared or 4900 In.2
What is the slope .
Simplify your answer and write it as a proper fraction , improper fractions or integer
Answer: 20/40
Step-by-step explanation:
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need? Use a pencil and paper to explain your reasoning.
Also please look at the attachment.
Answer:
total paper required = 57 cm²
Step-by-step explanation:
given data
slant height b = 4 cm
base side h = 3 cm
block height h1 = 2 cm
solution
we get surface area of right squared pyramid by add here areas of all 4 triangles that is express as
area = 4 × Area of Triangles
area = 4 × [tex]\frac{bh}{2}[/tex]
area = 4 × [tex]\frac{4\times 3}{2}[/tex]
area = 24 cm²
and
surface are of the box is equal to the area of its 4 side faces + base
area = 4 × ( h × h1 ) + h²
area = 4 × ( 3 × 2 ) + 3²
area = 24 + 9
area = 33 cm²
so total paper required = 24 + 33
so total paper required = 57 cm²
Find 2/5 % of 2,000.
Answer:
8 is the answer
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below?
7(3x + 12) + 12x - 16
A.
21x + 68
B.
33x + 68
C.
33x + 100
D.
33x + 84
Answer:
Step-by-step explanation:
21x + 84 + 12x -16
33x + 68
Answer:
B) 33x + 68
21x + 12x = 33x
84-16 = 68
The answer is 33x + 68
Which of the following is not considered a debit?
A. ATM withdrawal
B. Check cashed
C. Online bill payment
D. Direct deposit
B. Check Cash
Hopefully this will help.Answer: Direct Deposit
Step-by-step explanation: Direct deposit and Direct debit both describe an electronic transfer of funds. They differ which party initiates the transfer.
hope this helps
Using a minimum of two sentences, describe how to write the function, f(x) = (x + 2)2 – 3, in general form.
Answer:
f(x) = (x+2)^2-3
= x^2 + 4x + 4 - 3
= x^2 + 4x +1
Step-by-step explanation:
First, you must solve the binomial squared. Then you must combine similar terms.
7. Find the volume of the cylinder. Round to the
nearest tenth.
6 ft
7 ft
Answer:
791.7 ft^3
Step-by-step explanation:
V=πr2h=π·62·7≈791.68135
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
Answer:
C.
Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right
A spinner is divided into eight equal sections marked with eight different colors. Which situation could be represented by this simulation?
A.
Lynda has to select one of three students from her class.
B.
Hazel is selecting one pup from a group of ten puppies at a pet adoption center.
C.
Xavier has to select one novel from a collection of five English novels, two Spanish novels, and one French novel.
D.
Collin needs to decide whether to take a yoga class, a dance class, or swimming lessons.
Answer: C
Step-by-step explanation:
Solve –15 = 4m – 7.
–32
2
–12
–2
Answer:
-2 =m
Step-by-step explanation:
–15 = 4m – 7
Add 7 to each side
–15+7 = 4m – 7+7
-8 = 4m
Divide each side by 4
-8/4 = 4m/4
-2 =m
The area of the base of a triangular pyramid with faces that are equilateral triangles is 64 ft squared. Can you find the surface area of the pyramid? Explain. Here are the choices
A. No, because the area of the base of a pyramid is not related to the area of its faces, so the surface area cannot be found without more information.
b. No, because the base of a pyramid with equilateral triangle faces does not necessarily have the same area as its equilateral faces.
C.Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.
D.Yes, because the area of the base will be the edge length of each face, which can be used to find the area of each face
Answer:
C.
Step-by-step explanation:
Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.
So the surface area is 64 * 4 which is 256
What do I do to solve this?
Answer:
cross multiply
Step-by-step explanation:
multiply from across
Answer:23/2
Step-by-step explanation:
Step 1: Cross-multiply.
46
52
=
y
13
(46)*(13)=y*(52)
598=52y
Step 2: Flip the equation.
52y=598
Step 3: Divide both sides by 52.
52y
52
=
598
52
y=
23
2
Answer:
y=
23
2
HELP ME ASAP THIS SIMPLE PLEASE HELP ME
Step-by-step explanation:
A) Divide 1.68 into 3, the answer will be the answer to the question.
B) Times the answer to question a by 5
I hope this helped! If it did could you add me as brainliest, I’m trying to rank up!
b. Three angles are labeled below with arcs. The smallest angle is - as large as the 160 angle. Find the
value of angle a.
160°
che spent SAS how much money did she has
Answer:
$7.45
Step-by-step explanation:
I WILL MARK BRAINLIST WHOEVER ANSWERS FIRST
Lana recorded the gender and eye color of students passing in the hallway at her school. What is the experimental probability that the next student she sees will be a boy with brown eyes?
Answer:
1/6
Step-by-step explanation:
i think im not 100% sure
x/4 = -5
I need help
Answer:
-20
Step-by-step explanation:
because if you put -20 over 4, that simplifies out to -5
Answer:
x= -20
Step-by-step explanation:
To solve this problem, we have to get x by itself.
x/4= -5
x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.
4*(x/4)=(-5)*4
The 4s on the left cancel, so we are left with:
x=-5*4
x=-20
To check our solution, we can substitute -20 back in for x.
x/4=-5
-20/4=-5
-5= -5
This is true, so we know that -20 is the solution.
A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8 4 x = eight ninths Which of the following has all the correct justifications Bruno used to solve this equation?
a) 1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
b)1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
c)1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
d)1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
Answer:
c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
Step-by-step explanation:
4x + 1/2(10x − 4) = 6
4x + 5x − 2 = 6 distirbuted 1/2 to 10x - 4
9x − 2 = 6 combinded like terms: x
9x = 8 addtion to the right side with 2
x = 8/9 divide by 9
The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have the equation:
[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]
4x + 5x -2 = 6 (Multiplication proeprty of equality or Distributive property)
9x - 2 = 6 (combine like term)
9x = 8 (addition property of equality)
x = 8/9 (division property of equality)
Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.
Learn more about the linear equation here:
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If the zeros of a quadratic functions are -2 and 4, which graph could represent the function?
Answer:
The Graph having the X-intercepts of (-2,0) and (4,0)
Step-by-step explanation:
The zeroes of the function is the X-intercept.
The graph that represent the function should be that it contains the x-intercept of (-2,0) and (4,0)
What is x-intercept?
Here the x-intercept means the x-coordinate of the point at which the line, curve, the surface should be intersected at the x-axis.
Since there are the zeros of the quadratic equation that contains -2 and 4
So here we can say that The graph that represent the function should be that it contains the x-intercept of (-2,0) and (4,0)
Learn more about graph here: https://brainly.com/question/3789339
DUE NOW
(1.) 10, 10, 4, 10, x
If the mean is 7, which number would x be?
(2.) 10, 10, 4, 10, x
If the mean is 7, which number would x be?
(3.) 7, 10, g, 10, 7, 11
If the mode is 7, which number could g be?
The answer of question no.1 and 2 is 1.
Well,the question of 1 and 2 are same.
Look at the attached picture
The answer of question no 3 is 7.
Hope it helps...
Good luck on your assignment
What is the relationship between the area of the rectangle ABCD and triangle ABC?
Answer:
The second one.
Step-by-step explanation:
The area of the triangle has an area that is half the area of the rectangle.
A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle
Answer:
The triangle has an area that is half the area of the rectangle
Step-by-step explanation:
A model skyscraper is made with a scale of 1 inch to 75 feet. What is the height of the model if the height of the building is 1,395 feet?
Answer:
18.6 inches
Step-by-step explanation:
As we have the scale between the model and the real skyscraper, and we also have the height of the real building, to find the height of the model we just need to use a rule of three:
1 inch -> 75 feet
x inches -> 1395 feet
x*75 = 1*1395
x = 1395 / 75
x = 18.6 inches
The height of the model skyscraper is 18.6 inches.
PLZ HELP!!!!!!!!!!!!!! :(
Answer:
D: x≥-3
Step-by-step explanation:
Answer: it's B
Step-by-step explanation: