Answers
Answer:
The red line is g(x)
Step-by-step explanation:
* To solve this problem you must to know some fact about
transformation
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
- A vertical stretching is the stretching of the graph away from
the x-axis
• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically
stretched by multiplying each of its y-coordinates by k.
- A vertical compression is the squeezing of the graph toward
the x-axis.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed
by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or compress is
followed by a reflection across the x-axis.
* Now lets solve the problem
- g(x) = -1/2f(x + 2)
# x + 2 ⇒ means the graph moved 2 units to the left
# -1/2 ⇒ means the graph has vertical compressed followed
by a reflection across the x-axis, then multiply
each y-coordinate by -1/2
- The graph of f(x) intersects x-axis at point (3 , 0)
∴ The point will be (1 , 0) on g(x)
- The graph of f(x) intersects y-axis at point (0 , -6)
∴ The point will be (-2 , 3) on g(x)
* Look to the graph
# The red line is g(x)
# The blue line is f(x)
- To check your answer
# The equation of f(x) is f(x) = 2x - 6
∵ g(x) = -1/2f(x + 2)
∴ g(x) = -1/2[2(x + 2) - 6] = -1/2[2x + 4 - 6] = -1/2[2x - 2] = -x + 1
* g(x) intersect x-axis at point (1 , 0) and y-axis at point (0 , 1)
Related Questions
Karyn will finish stacking cubes to create a solid rectangular prism.
The completed prism will be 3 centimeters high, 3 centimeters wide and 4 centimeters
long.
Enter the volume, in cubic centimeters, of the completed rectangular pris
124. ,
Answers
Answer:
36 cubic cm.
Step-by-step explanation:
To find volume, you multiply width by length by height, so 3x4x3, which is 36.
Probability Question
Answers
To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.
3/4 x 5/8 = 15/32
which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3
Answers
Answer:
y=1/3x+1
Step-by-step explanation:
y=mx+b
y=1/3x+b
2=1/3(3)+b
2=1+b
1=b
y=1/3x+1
Can i get help with this question?
Answers
Answer:
x=8
Step-by-step explanation:
The two angles are complementary angles, so they add together to make 90 degrees
x+50 + 4x = 90
Combine like terms
5x+50 = 90
Subtract 50 from each side
5x+50-50= 90-50
5x = 40
Divide by 5
5x/ 5 = 40/5
x = 8
Part C I Already Posted Part B And Part A Please Answer Part C And A Thanks
Answers
The area of the paper is Length x width = 8 x 11 = 88 square inches.
Each game piece was 1 inch in diameter.,so you could cut it out of a 1 inch square.
So each square inch of the paper could be a game piece.
You could make 88 game pieces.
You can make 88 pieces
What polynomial has roots of -6,1, and 4
Answers
For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:
[tex](x + 6) (x-1) (x-4) = 0[/tex]
To build the polynomial we must multiply:
[tex](x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =[/tex]
Adding similar terms:
[tex]x ^ 3 + x ^ 2-26x + 24[/tex]
Answer:
[tex]x ^ 3 + x ^ 2-26x + 24[/tex]
13. Write a function with a zero of 1/2. Explain how you know.
Answers
Answer:
The function is [tex]f(x)=2x-1[/tex]
Step-by-step explanation:
If a function has a zero of [tex]\frac{1}{2}[/tex].
The we can write [tex]x=\frac{1}{2}[/tex].
We need to work backwards to obtain the function:
We multiply through by 2 to get:
[tex]2x=1[/tex].
This implies that:
[tex]2x-1=0[/tex]
Hence a function with such zero is [tex]f(x)=2x-1[/tex]
Answer:
The function is [tex]f(x)=4x-2[/tex]
Step-by-step explanation:
That a function has a zero at a certain number x means that [tex]f(x)=0[/tex]
Let's see an example,
If we have [tex]f(x)=x+2[/tex] (this is what we call function)
and we choose any value for the x,
x = 3
Now we replace it in our function
[tex]f(3)=3+2[/tex]
[tex]f(3)=5[/tex] (this is the image of 3)
Now if we say that x = -2, and replace it in our function
[tex]f(-2)=(-2)+2[/tex]
[tex]f(-2)=0[/tex] , this means that our function has a zero at x = -2
We can find the zeros of our function equaling it to zero and clearing the x, let's see
[tex]x+2=0[/tex]
[tex]x=-2[/tex] this means that our function has a zero at x = -2
To find a function that has a zero at [tex] \frac{1}{2}[/tex] , let's think that the result must be [tex]f(x)=0[/tex]
If we have 4 and multiply it by 1/2.
[tex]4)(\frac{1}{2})=2[/tex], now we subtract 2 from this result
[tex]-2 = 0[/tex] , the complete process would be
[tex]4)(\frac{1}{2})-2=0[/tex], we said that [tex] \frac{1}{2}[/tex], then
[tex]4x-2[/tex], now we write it as a function
[tex]f(x)=4(x)-2[/tex] we know that by replacing the x by 1/2 the result will be zero, which means that [tex] \frac{1}{2}[/tex] is zero of this function
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.
4m +16.5 < 33.5
Answers
Answer:
solution (-∞,4.25)
Step-by-step explanation:
Given inequality is [tex]4m +16.5 < 33.5[/tex].
Now we need to solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.
[tex]4m +16.5 < 33.5[/tex]
[tex]4m < 33.5 - 16.5[/tex]
[tex]4m < 17[/tex]
[tex]m < \frac{17}{4}[/tex]
[tex]m < 4.25[/tex]
Hence solution set using interval notation is given by (-∞,4.25).
Graph will be an arrow pointing to the left of 4.25
Answer:
m < 4.25; (-∞, 4.25).
Step-by-step explanation:
Part 1. Solve the inequality
4m + 16.5 < 33.5
4m < 17 Subtracted 16.5 from each side
m < 4.25 Divided each side by 4
Part 2. Interval notation
The solution set consists of all numbers less than 4.25. We use parentheses to denote numbers that are not included in the interval.
4.25 is not included, because m < 4.25.
-∞ is not included, because we can never reach it.
In interval notation, the solution set is (-∞, 4.25).
Step 3. Number line
The solution set consists of all numbers less than 4.25. We use an open circle to show that 4.25 is not included in the set.
Melissa and Rachel like to make funny hats. Melissa has made 20 zebra printed hats and Rachel has made H striped hat. Together they have made a total of 42 hats
Answers
20+h=42 is the answer
Answer: Melissa made 22 striped hats
(Hope this helps) :D
Step-by-step explanation: You get this answer by subtracting 20 from 42 to get 22
Help! Question with simplifying square root
Answers
Answer:
The square root of 25 is 5 because whenever it's a number multiplied by the same number like 4×4, 5×5, 8×8 and so on, you are squaring that number since you are multiplying the same number twice. Hope this helps and I'm sorry if my explanation is not that clear:)
simplify the expression. eliminate negative exponents (x^2)(x^7)(x^-3) =
Answers
x⁶; multiplying monomials means adding their exponents in this case.
A triangle has side lengths of 15, 20, and 25. What type of triangle is it?
a.) right
b.) equiangular
c.) acute
d.) obtuse
Answers
Acute triangle is the answer
Answer:
The answer is a. right.
Step-by-step explanation:
GIVEN:
hypo=25
opposite and adjacent=15 and 20.
FORMULA:
hypotenuse^2 =opposite side^2 + adjacent side^2
25^2=15^2+20^2
625=225+400
400+225=625
(Got this from yahoo answers, everybody said right.)
Which term refers to the speed at which sound waves travel? A)volume B)amplitude C)frequency
Answers
Answer:
The answer would have to be VELOCITY which is distance / time.
That answer is NOT on your list.
Step-by-step explanation:
Answer:
frequency
Step-by-step explanation:
X^2-15x+56=(x-7)(x-____)
Fill in the blank please help me
Answers
Answer:
8
Step-by-step explanation:
The required value in the fill-in-the-blank is 8, which is completely factored into the product of two binomials: (x-7) and (x-8).
To fill in the blank in the expression x²-15x+56=(x-7)(x-____), we need to find the missing factor that, when multiplied by (x-7), gives us the original quadratic expression.
Factor the quadratic expression x²-15x+56 by finding two numbers that multiply to 56 and add up to -15, which are -7 and -8.
Therefore, we can rewrite the quadratic expression as:
x² - 15x + 56 = (x - 7)(x - 8)
This means that the quadratic expression can be completely factored into the product of two binomials: (x-7) and (x-8).
Thus, the required value in the fill-in-the-blank is 8.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
Solve the inequality
Please help and show me your working out thank you so much for your help:)
Answers
Answer:
-3≤x<4
Step-by-step explanation:
First you divide 3 on all sides of the equation.
So,
Answer:
x= (-3,-2,-1,0,1,2,3)
Step-by-step explanation:
You would divide 3 from both which you would get:
-3< x <4
x can represent any number above because the numbers I listed above is greater than -3 or less than 4.
3*-1=-3
3*0=0 ....... -3 <0 >4
3*1=3
Let f(x)=x^2+5x-36. Enter the x-intercepts of the quadratic function in the boxes. __and __
please show the work and answer
Answers
Answer:
x = - 9, x = 4
Step-by-step explanation:
The x- intercepts are the values of x where the graph of the function crosses the x- axis.
To obtain them set f(x) = 0, that is
x² + 5x - 36 = 0
To factor the quadratic.
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)
The factors are + 9 and - 4, since
9 × - 4 = - 36 and 9 - 4 = + 5, thus
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
Answer:
x=(4,0) and x=(9,0)
hope this helps
What is the inverse of the function below?
Answers
ANSWER
[tex]{f}^{ - 1}(x) = ln(x)[/tex]
EXPLANATION
The given function is
[tex]f(x) = {e}^{x} [/tex]
Let
[tex]y={e}^{x} [/tex]
We interchange x and y.
[tex]x={e}^{y} [/tex]
Solve for y.
[tex]y = ln(x) [/tex]
This implies that,
[tex] {f}^{ - 1}(x) = ln(x) [/tex]
The correct answer is C
Answer:
[tex]f^{-1}(x)=ln(x)[/tex]
Step-by-step explanation:
Given function is [tex]f\left(x\right)=e^x[/tex].
Now we need to find it's inverse so follow these steps:
Step 1: replace f(x) with y.
[tex]y=e^x[/tex]
Step 2: Switch x and y.
[tex]x=e^y[/tex]
Step 3: Solve for y.
[tex]x=e^y[/tex]
[tex]ln(x)=ln(e^y)[/tex]
[tex]ln(x)=y[/tex]
[tex]y=ln(x)[/tex]
Step 4: Replace y with [tex]f^{-1}(x)[/tex].
[tex]f^{-1}(x)=ln(x)[/tex]
Hence final answer is [tex]f^{-1}(x)=ln(x)[/tex].
A spinner is spun twice. it has a 3, 5, 7, & 9 on it. how many outcomes could produce a product greater than 21?
A / 11
B / 10
C / 12
D / 13
Answers
Answer:
A
Step-by-step explanation:
What numbers on both spins would create a PRODUCT GREATER THAN 21?
3 and 9
5 and 5
5 and 7
5 and 9
7 and 7
7 and 5
7 and 9
9 and 9
9 and 3
9 and 5
9 and 7
So, as we can see, we have 11 possibilities of getting a product GREATER than 21 (not 21...).
Correct answer A.
What is the sum of 5x^2+3x-7 and 12x+12?
Answers
It’s 5x^2 + 15x + 5 ! :)
I need help on this too 1000%
complete the square in vertex form y=x^2+18x-2
Answers
Answer:
y = (x + 9)² - 83
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = x² + 18x - 2
Obtain vertex form by using the method of completing the square
add/subtract (half the coefficient of the x- term )²
y = x² + 2(9)x + 81 - 81 - 2
= (x + 9)² - 83
The ANSWER IS Y=(x+9)^2-83
On the first five performance scores at work, your scores were: 84, 83, 92, 80, and 95. On the average, what was your score?
A)
62
B)
84.75
C)
86.8
D)
88.5
Answers
Its C, you have to add all the numbers up and divide by how many numbers there are
Please help! I’m super confused because I got a negative number and I think I’m wrong?
Answers
Answer:
5 1/3
Step-by-step explanation:
16 - (2z-4)/3
Let z = 18
16 - (2*18-4)/3
Multiply inside the parentheses first
16 - (36-4)/3
Subtract inside the parentheses
16 - (32/3)
Divide inside the parentheses and change to a mixed number
16 - 10 2/3
Borrow 1 from 16 in the form of 3/3
15 3/3 - 10 2/3
5 1/3
Answer:
Your answer would be 5 1/3.
Step-by-step explanation:
16- (2(18)-4)/3
16- (36-4)/3
16/1 - 32-3
48/3 - 32/3 = 16/3
16/3 converted to a mix number is 5 1/3
Hope I helped :)
PLS HELP ASAP!
which two data sets show the most overlap?
Answers
The answer is D because all of the dots are in the same place except for 2.
Answer:
Step-by-step explanation:
d
A circus has 10 performers, of which 4 are magicians.
What is the probability that a randomly selected performer will be a magician?
Simplify your answer and write it as a fraction or whole number.
P(magician) =
Answers
Answer:
40%
Step-by-step explanation:
you would take the number of magicians and divide that number by the total number of performers like this:
4 / 10 = 0.4
which equals 40%
so the probability of selecting a performer and them being a magician would be 40% exactly
i hope this helps :)
The probability of randomly selecting a magician from a group of 10 performers with 4 magicians is [tex]\frac{2}{5}[/tex].
The probability that a randomly selected performer from a circus with 10 performers and 4 magicians will be a magician is calculated by dividing the number of magicians by the total number of performers. Therefore, the probability P(magician) is:
P(magician) = number of magicians / total number of performers
P(magician) = [tex]\frac{4}{10}[/tex]
P(magician) = [tex]\frac{2}{5}[/tex]
Suppose you and some friends are going to the movies. The amount of money you spend for tickets varies directly with the number of people buying tickets. If you doesn’t $48 for six tickets, what is the constant of variation?
Answers
Answer:
8
Step-by-step explanation:
The manager of a hair salon is analyzing the number of customers who visit the salon each day. If she wants one number to summarize all the values of the data set, what type of measure should she use?
A. a measure of center, such as the median
B. a measure of variation, such as the mean absolute deviation
C. a measure of variation, such as the mode
D. a measure of center, such as the interquartile range
Answers
Answer:
the answer would be A. a measure of center, such as the median
Step-by-step explanation:
A measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Some examples of a measure of center are median and mode. Some examples of a measure of variation are interquartile range and mean absolute deviation.
The salon manager wants one number to summarize all the values of the data set.
What percent of 75 is 33
Answers
Answer:
33 is 44% of 75Step-by-step explanation:
First step:
Calculate, what fraction of 75 is 33:
[tex]\dfrac{33}{75}=\dfrac{33:3}{75:3}=\dfrac{11}{25}[/tex]
Second step:
Convert to the percent:
[tex]\dfrac{11}{25}\cdot100\%=(11)(4\%)=44\%[/tex]
33 is 44% of 75.
To determine what percent of 75 is 33, you can use the formula: (part/total) × 100. In this case, the part is 33 and the total is 75.
First, divide 33 by 75: 33 / 75 = 0.44.Next, convert the decimal to a percent by multiplying by 100: 0.44 × 100 = 44%.Thus, 44% of 75 is 33.
WORTH 30 : can you please help me with my homework questions 14-18
Answers
If this helps you please make it brainliest.
14. She has 12 possible choices.
15. $96
16. I don’t know about this one, sorry.
I7. 4/7
18. 1/3
Hope this helps!
Solve this system of equations using
the substitution method.
y = 3x + 9
y = 5x – 3
I need the answer for X and Y
Answers
Answer: Please Mark Brainliest :) !!
The answer is x= 6 and y= 27.
Step-by-step explanation:
3x + 9 = 5x + 3
-2x + 9 = -3
y = 5x -3
x = 6
y = 5x -3
y = 5(6) -3
y = 27
First, when solving for x, you would need to make one of the equation into standard form, which would be Ax + By = C. So, I'm going to use y = 5x -3.
y = 5x - 3 || subtract -5x on both sides from the equal sign
5x + y = -3 || there you have one equation in standard form
Now, all you have to do now is substitute the y-intercept form equation into the standard form equation. As you can see, you would substitute the y-intercept form into the y in the standard form equation.
5x + y = -3
5x + 3x + 9 = -3 || combine like terms
8x + 9 = -3 || subtract 9 on both sides from the equal sign
8x = 6 || divide by 8 on both sides from the equal sign
x = 0.75 || final answer for x
Then for solving y, take any equation in y-intercept form and substitute with the x in the equation, which I'm going to use y = 3x + 9 in this case.
y = 3x + 9 || substitute with x
y = 3 (0.75) + 9 || multiply 3 and 0.75
y = 3.75 + 9 || add 3.75 and 9
y = 12.75 || final answer for y
Thus, x = 0.75 and y = 12.75.
Solve for f.
f+0.2=−3
Answers
Subtract 0.2 by both sides and the your answer is f = -3.2
Answer:
the answer is f=-3.2
Step-by-step explanation:
because with solving linear equations you have to do the opposite of what your doing do like f+0.2=−3 since your adding you want to subtract instead you want to subtract on both sides so we know 0.2-0.2= 0 so 0.2- -3= -3.2 so that gives us our answer -3.2