Concept
When by either y or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
The original function is y = x
1) The transformation that transform parent function y = x into y = 2x - 2 is:
Answer
a) a horizontal stretch is given by the equation y = 2x
b) a translation of 2 units to the RIGHT of the graph of the parent function.
2) The transformation that transform parent function y = x into y = -x is:
Answer
Reflection across the y-axis
What are like terms? How do you combine them?
Answer:
When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
Step-by-step explanation:
Answer:
example: 1x+2x+5y+3y
if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..
the example combined would be: 3x+8y
hope I was able to help
Step-by-step explanation:
4x-9y=36 find the missing y-coordinate
The y-intercept of the function is given as (0, -4). This also shows that the value of y missing from the coordinate is -4
How to find the y-intercept of a function?The y-intercept of a function is the point where the value of x is zero. Given the function below;
4x-9y=36
when the value of x is zero, hence;
4(0) - 9y = 36
Simplify to have:
0 - 9y = 36
-9y = 36
Divide both sides by -9 to have:
-9y/-9 = 36/-9
y = -4
Hence the y-intercept of the function is given as (0, -4). This also shows that the value of y missing from the coordinate is -4
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10
४|
x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
one value for x, enter another value under 7b below."
Your answer
7b) If there are more value for x, enter another value for x below. Click next to
skip this part if there's no other value for x.
martemat 20 e7 72gsys y3823 485 u
Ceecee and Jose ate at a restaurant.
Ceecee gave a 20% tip on an $85 dinner bill.
Jose gave a 18% tip on a $80 dinner bill.
Who (Ceecee or Jose) gave the larger tip?
PLEASE HELP WILL GIVE BRAINLIEST
The value of n that satisfies the given polynomial expression is 10
Simplifying a polynomial expressionFrom the question, we are to determine determine the corresponding value of n in the simplified expression.
The given expression is
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
First, we will simplify this expression
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)
(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)
Simplify further
(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)
(12x⁵ + (6 - 2n)x³ - 52nx² - 26)
By comparison with (12x⁵ - 14x³ - 520x² - 26)
(6 - 2n)x³ = - 14x³
and
- 52nx² = - 520x²
Solve (6 - 2n)x³ = - 14x³ for n
(6 - 2n)x³ = - 14x³
6 - 2n = - 14
6 + 14 = 2n
20 = 2n
n = 20/2
n = 10
Similarly,
Solve - 52nx² = - 520x² for n
52n = 520
n = 520/52
n = 10
Hence, the value of n is 10
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6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
Connections Academy Geometry10A semester exam. Does anyone have the answers im 1% away from passing.
Answer:
probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)
Step-by-step explanation:
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house gives him about 4 candies with a standard deviation of 1.5 candies. Each year Kelly visits 35 random houses in his neighborhood. Let X be the total number of candies Kelly will receive from his visits. Last Halloween, Kelly got 122 candies. Approximate the probability that the total number of candies Kelly will receive this year is smaller than last year.
Using the normal distribution and the central limit theorem, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for n instances of a normal variable, the mean is \(n\mu\) while the standard deviation is \(s = \sigma\sqrt{n}\).In this problem:
Mean of 4 candies, hence \(\mu = 4\).Standard deviation of 1.5 candies, hence \(\sigma = 1.5\).She visited 35 houses, hence \(n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3\)The probability is the p-value of Z when X = 122, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{122 - 140}{3}\)
\(Z = -6\)
\(Z = -6\) has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
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HELP, answer both questions please !!! I will mark as brainlest!!!
Answer:
D and B
Step-by-step explanation:
the angles subtract and the other starts and loops
Find the unknown coordinate so the line through the
points has the given slope
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
What’s the volume of the rectangular prism of 2cm, 7/3 cm and 2cm?
Answer:
9 1/3 cm³
Step-by-step explanation:
First multiply two numbers.
2x2=4
Then multiply the product by the third number.
4x7/3
4 x 7
1 x 3
= 28/3 or 9 1/3
--
hope it helps
Translate to a system of equations:Last month, Jim and Debbie earned $7,200. Debbie earned $1,600 more than Jim earned. How much did they each earn? Call the amount that Jim earned j and the amount that Debbie earned d.
Let j denote the amount that Jim earned.
Let d denote the amount that Debbie earned.
Last month, Jim and Debbie earned $7,200
Mathematically, we can write it as
\(j+d=7200\)Debbie earned $1,600 more than Jim earned.
Mathematically, we can write it as
\(d=j+1600\)Therefore, the system of equations is
\(\begin{gathered} j+d=7200 \\ d=j+1600 \end{gathered}\)Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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Help me please and thank you, and I will mark you brainliest!!
Answer:
270m^2
Step-by-step explanation:
30m*18m/2 = 270m^2
Answer:
270
Step-by-step explanation:
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answer:
200
Step-by-step explanation:
\(\frac{2}{5}\) = \(\frac{80}{x}\)
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
The circumference of C is 72cm. What is the length of AB (the minor arc)
Answer:
Step-by-step explanation:
Can you please include a image?
Thanks!!!
Games sell for $5 each and books for $3 each. If you spent $36 and purchased 8 items, how many games and books did you buy?
Answer: you would get 6 games and 2 books
Step-by-step explanation:
Help pleaseee
Applying the Solution to a 3X3 System
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Show up all steps please
There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion
Given data ,
Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".
Given that there were 400 people total at the family reunion, we can write the equation:
g + p + c = 400
Now , there were twice as many parents as grandparents, so we can write:
p = 2g
And we are given that there were 50 more children than parents, so we can write:
c = p + 50
Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.
On simplifying the equation , we get
g + 2g + (2g + 50) = 400
5g + 50 = 400
5g = 400 - 50
5g = 350
g = 350 / 5
g = 70
Now we can substitute the value of g into (2) to find the value of p:
p = 2g = 2 x 70 = 140
And we can substitute the value of p into (3) to find the value of c:
c = p + 50 = 140 + 50 = 190
Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion
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The ice cream shop has 7 types of toppings available, and you decide to add 4 toppings to your bowl of 5 scoops of ice cream. How many combinations of 5 scoops of ice cream and 4 toppings are possible
Answer: 35
Step-by-step explanation:
The number of combinations of r things selected out of n things is given by
\(^nC_r= \dfrac{n!}{r!(n-r)!}\)
Given , the total number of types of toppings available = 7
The number of toppings needed to be selected = 4
Then, the number of ways to do this would be
\(^7C_4=\dfrac{7!}{4!(7-4)!}\\\\=\dfrac{7\times6\times5\times4!}{4!3!}\\\\=\dfrac{7\times5}{1}=35\)
Hence, the number of combinations of 5 scoops of ice cream and 4 toppings are possible = 35.
Function limits: Solve the activities in each image (full development)
Answer with the method that is possible to solve adequately (approximation, factorization, rationalization or evaluation)
Step-by-step explanation:
the answer is in the above image
9514 1404 393
Answer:
1a. f(4) = 1/2
1b. DNE
2a. f(2) = 5
2b. f(-3/2) = 9 1/4
2c. 4
2d. -2
2e. -1/3
Step-by-step explanation:
The limit for functions that can be evaluated is simply the value of the function. (1a, 2a, 2b are like that)
Some rational functions, particularly the ratios of polynomials, can be simplified by cancelling common factors from numerator and denominator. The simplified form can often be evaluated directly at the variable value that leaves the original function "undefined." (2c and 2d are like that)
Where a (simplified) rational function has an odd-degree zero in the denominator, there is no limit at that point. The function value changes sign at the discontinuity, so the left limit is different from the right limit. The limit Does Not Exist. (1b is like that)
Indeterminate forms (0/0 or ∞/∞)have their own methods for finding limits. Chief among these is L'Hopital's rule, which has you compare derivatives of numerator and denominator, repeating as necessary if those also give an indeterminate form. I like to gain a clue from the graph. Often, the function can be evaluated "arbitrarily close" to the limiting value of the variable, so the limit can be guessed at without much trouble.
__
1a. Evaluate the function: 1/(4-2) = 1/2
1b. the denominator changes sign at x=2, so the limit Does Not Exist
2a. Evaluate the function: (2-2)(2) +5 = 5
2b. Evaluate the function: (-3/2 -4)(-3/2) +1 = 33/4 +1 = 37/4 = 9 1/4
2c. Simplify and evaluate: (x -3)(x -7)/(x -7) = x -3 ⇒ 7 -3 = 4
2d. Simplify and evaluate: (x +1)(x +3)/(x +3) = x +1 ⇒ -3 +1 = -2
2e. The function has a hole at x=4 but can be evaluated nearby (approximation). (See attached). The limit is -1/3. (The ratio of derivatives per L'Hopital's rule reduces to -(√5-x)/√(5+x) = -√(1/9) = -1/3.)
Annie made 14 3/5 bags of popcorn for a movie night with some friends. Together they ate 4 2/5 bags of it. How much popcorn was left?
Answer:
10 1/5
Step-by-step explanation:
14 3/5 - 4 2/5 = 10 1/5.
Answer:
10 1/5
Step-by-step explanation:
3/5-2/5=1/5
14-4=10
10 1/5
Please help
9(2+17)+13z=17
Answer:
9(19)+13z=17
171+13z=17
13z=171-17
Z=154/13 is the answer
Step-by-step explanation:
Pls mark me in brain list
Answer:
z = -154/13
Step-by-step explanation:
1.) Add the numbers
9(2+17)+13=17
9(19) = 13z = 17
2.) Multiply the numbers
9 x 19 + 13z = 17
171 + 13z = 17
3.) Rearrange terms
171 + 13z = 17
13z + 171 = 17
4.) Subtract 171 from both sides of the equation
13z + 171 = 17
13z + 171 - 171 = 17 - 171
5.) Simplify
Subtract the numbersSubtract the numbers13z = -154
Solution
z = -154/13
Math homework help exponents
Answer + Step-by-step explanation:
\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)
\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)
_______________________
\((4^8)^3 = a^{8 \times 3}=a^{24}\)
\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)
_______________________
\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)
_______________________
15⁶ × 15³ = 15⁶⁺³ = 15⁹
_______________________
Recall : If a ≠0 ⇒ a⁰ = 1
Then
Since 6⁸ ≠ 0 ⇒ (6⁸)⁰ = 1
HELP PLEASE!! 100 POINTS!!
What is the number of terms in this expression?
m/5+4⋅6
Answer:
m/5 is one term and it is separated by 4*6 by add sign there are two terms
Step-by-step explanation:
hope this helps.
Answer:
There are 3 terms
Step-by-step explanation:
m/5 is 1 term
4 is 1 term
6 is 1 term
someone please help me asnwer this!!
Answer:
5 units is the answer.
Step-by-step explanation:
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\\)
∴ d = 5 units
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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Solve the inequality. –10d ≥ –70
Answer:
d≤7
Step-by-step explanation:
-10d≥-70
d≤7
. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.Question 1 TRUE OR FALSE! 3 Your final answers must be in units cubed (mº) for volume and units squared (mº) for surface area. 2 O True © False N
Answer: true
if its wrong then im sorry for it but i have a felling its true