The final equation is y = |x - 4| - 3.
What is the formula for graph changes of absolute values?
The vertex of an absolute value graph lies along one line of symmetry. The formula for the absolute value function is f (x) = |x|. The parent procedure for absolute values is this. Depending on the value of |a|, the graph of y = a|x| is the graph of y = |x| compressed or extended vertically.
After a transformation of 4 units right and 3 units down, the proper equation would be:
y = |x - 4| - 3
In order to move the graph to the right by 4 units, we must deduct 4 from x inside the absolute value: |x - 4|
To shift the graph 3 units down, we need to subtract 3 from the whole function: |x - 4| - 3
So the final equation is y = |x - 4| - 3.
To know more about equation visit:-
https://brainly.com/question/29538993
#SPJ1
Question:
Given the parent function of an absolute value graph, what would be the equation after a transformation of 4 units right and 3 units down?
y= |x - 4| -3|
y= |x - 3| +4|
y= |x + 4| -3|
y=| x = G|3|
Mikayla drew 20 triangles and 25 circles on a piece of paper. What is the ratio of circles to triangles?
(no scams please!!)
Answer:
25/20 or 25:20 ( doesn't matter which)
Step-by-step explanation:
Circles :25
triangles :20
Answer:
25:20 or 5:4
Step-by-step explanation:
The ratio is the circle:triangle
Plug in the values.
25:20 = 5:4
Taking a=i - j+2k and b=i+j+k. find the projection of a on b. a. 2/3 I +2/3 j +1/3 k b. 2/3 I +2/3 j +2/3 k c. 2/3 I +2/3 j -1/3 k d. 1/2 i +root 3/2 j + 1/2 K e. None of the above
The projection of vector a onto vector b is 2/3 i + 2/3 j + 2/3 k.
None of the given options in the choices match the correct projection.
To find the projection of vector a onto vector b, we can use the formula:
Projection of a onto b = (a · b) / |b|² * b
where (a · b) represents the dot product of vectors a and b, and |b|² is the squared magnitude of vector b.
Given:
a = i - j + 2k
b = i + j + k
First, let's calculate the dot product of a and b:
a · b = (i - j + 2k) · (i + j + k)
= i · i + i · j + i · k - j · i - j · j - j · k + 2k · i + 2k · j + 2k · k
= 1 + 0 + 0 - 0 - 1 - 0 + 0 + 2 + 4
= 6
Next, let's calculate the squared magnitude of vector b:
|b|² = (i + j + k) · (i + j + k)
= i · i + i · j + i · k + j · i + j · j + j · k + k · i + k · j + k · k
= 1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 1
= 3
Now, let's substitute these values into the formula for the projection:
Projection of a onto b = (a · b) / |b|² * b
= (6 / 3) * (i + j + k)
= 2 * (i + j + k)
= 2i + 2j + 2k
= 2/3 i + 2/3 j + 2/3 k
Therefore, the projection of vector a onto vector b is 2/3 i + 2/3 j + 2/3 k.
None of the given options in the choices match the correct projection.
Learn more about projection here
https://brainly.com/question/31122869
#SPJ11
give the equation of the line that goes through the point (5, -2) and has a slope of 0.
When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). B stands in for the y value of the y-intercept point in the formula.
How to calculated the slope intercept?Determine the equation of the line with a slope of 2/3 and a y intercept of (0, 4).
Solution
Step 1: Replace the provided in the formula.
Provided that the slope, m, is given as 2/3 and the y intercept, (0, 4), b = 4.
y = mx + b
y = 2 3 x + 4
2 /3 x – y = - 4
(Note: You must multiply this by the LCD of 3 to fix this since the conventional form does not support fractional numbers.)
3( 2 /3x – y) = (- 4) (- 4)
3/2x – 3y = - 12
This is the line's determined equation.
Verify is the second step.
Utilizing the formula, plot two points. In this example, y1 = 2 and Y2 = -6. 2x - 3y = - 12 2x – 3y = - 12
Let y = 2 Let y = - 6
2x – 3(2) = - 12 2x – 3(-6) = - 12
2x – 6 = - 12 2x + 18 = - 12
2x = - 6 2x = - 30 \sx = - 3 x = - 15
P1 therefore equals (-3, 2) and P2 equals (-15, -6).
To Learn more About slope intercept refer to:
https://brainly.com/question/25826868
#SPJ4
AND PLZ ANSWER IT CORRECTLY
how are the original coordinates related to the coordinates after the translation
This coordinate plane represents the entire botanical garden where Vincent works. The rectangular figure on the coordinate plane is the original position of the rose garden. Vincent wants to slide the rose garden two yards east and four yards south. In this activity, you’ll help Vincent find the coordinates of the new rose garden.
Answer:
The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.
Step-by-step explanation:
Answer:
Eastward translation of the rose garden will move it in the positive x-direction. So, the integer that represents a change of two yards east is +2.
Step-by-step explanation:
what is the answer for-4(2x+y)
Answer:
-8x-4y
Step-by-step explanation:
distrubutive property
Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
solve: 3x^2+16x+5=0
I did it but apparently its wrong so, please help it would literally probably help me finish high school.
Answer:
(3x+1)(x+5)
Step-by-step explanation:
Sorry for my handwriting lol hope this makes sense
- 8(- 3.3) multiply (-3.3) how many times? Move from 0 to where ? Product:_____
PLS HELP (image is down below)
Answer:
D) 30
Step-by-step explanation:
Hope this helps
Answer:
Down below
Step-by-step explanation:
easy way to get all possible answers is to multiply the number of choices you have.
for color there are 5 choices. color = c
for size there are 3 choices. Size = s
for Material there are 2 choices. Material = m
\(c*s*m\\5*3*2\\30=total\)
your answer would be D. sorry if this is incorrect.
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
Read more about Unit Circle at: https://brainly.com/question/26284611
#SPJ1
40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST
The ratio of cows to chickens at Old McDonald’s Farm is 2:7. Select
all the farms that have a greater ratio of cows to chickens than Old
McDonald’s Farm.
1. ed’s Farm: 3 cows for
every 5 chickens
2. Pasture Farm: 2 cows for
every 9 chickens
3.Cluck & Moo Farm: 1 cow
for every 5 chickens
4. C & C Farm: 3 cows for
every 8 chickens
5. Family Farm: 1 cow for
every 3 chickens
btw: I added an extra 50 cause i feel nice today :>
Answer:
2. Pasture Farm : 2 cows for every 9 chickens & 4. C & C Farm: 3 cows for
every 8 chickens.
* Please let me know if this helped you or tell me if one of my answers are wrong .
Find V9.
0 81
O 18
6
0
الرا
3
Answer:
Sd:382)(#(23667**8862/(=()-#738+#:$($?
4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?
Answer:
assuming its dividing by two, 7.8135
Step-by-step explanation:
if you're dividing by something else the answer will be different. hope this helps
Rashon has a dimes and y nickels. He has no less than 12 coins worth at most $0.95
combined. Solve this system of inequalities graphically and determine one possible
solution.
A possible solution of the system of inequalities is 5 dimes and, 8 nickels
How to determine a possible solution?From the question, the given parameters are:
Number of coins = Not less than 12
Worth = At most $0.95
Represent dime with x and nickels with y
So, we have the following inequalities
x + y >= 12
0.1x +0.05y <= 0.95
Next, we plot the graph of the inequalities (see attachment)
From the graph, we have a possible solution to be (5, 8)
This is so because this point is in the shaded region
Read more about inequalities at
https://brainly.com/question/25275758
#SPJ1
12foot 11incher+11foot 3 incher
Answer:
24feet 1 inches
Step-by-step explanation:
in a binomial experiment, the number of successes can never exceed the number of trials. true/false
Answer:
True
Step-by-step explanation:
An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.
I got 12 but I think I'm wrong, please help me!
Answer;
19ft
Explanation:
First, we need to get the length of the broken leg using the Pythagoras theorem as shown;
\(\begin{gathered} l^2=7^2+10^2 \\ l^2=49+100 \\ l^2=149 \\ l\text{ =}\sqrt[\square]{149} \\ l\text{ = 1}2.21 \end{gathered}\)Original height of the pole = 7ft + 12.21ft
Original height of the pole = 19.21ft
Original height of the pole = 19ft (to the nearest height)
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
Triangle ABC is similar to triangle DEF. If angles ABC and DEF measure 54 degrees and angles BCA and EFD measure 38 degrees, what are the measures of CAB and FDE? SHOW WORK TO JUSTIFY YOUR ANSWER.
Answer:
78 degrees
Step-by-step explanation:
hope this is right i added and somehow got this tell me if i got it right or wrong no hate
The depreciation per unit for a company is $1.30. if the company produces 200,000 units for the year, what is the depreciation expense for the year? $200,000 $180,000 $240,000 $260,000
The depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.
The depreciation expense for the year can be calculated by multiplying the depreciation per unit by the number of units produced. In this case, the depreciation per unit is given as $1.30, and the number of units produced is 200,000.
To find the depreciation expense, we can use the following formula:
Depreciation expense = Depreciation per unit × Number of units produced
Plugging in the values, we have:
Depreciation expense = $1.30 × 200,000
Multiplying, we get:
Depreciation expense = $260,000.
Therefore, the depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.
Learn more about depreciation expense here:
https://brainly.com/question/17440027
#SPJ11
solve the initial value problem ′ − 3 = 10 − 4 sin(2( − 4)) 4() with (0) = 5.
The solution of the non-homogeneous equation to the initial value problem is:
y = 3t + 3 + 2 cos(2t)
We are given the initial value problem:
y' - 3 = 10 - 4 sin(2t)
y(0) = 5
To solve this, we can start by finding the general solution of the homogeneous equation y' - 3 = 0:
y' - 3 = 0
y' = 3
Integrating both sides with respect to t gives:
y = 3t + C
where C is the constant of integration.
Now, to find a particular solution to the non-homogeneous equation, we can use the method of undetermined coefficients. Since the right-hand side of the equation is a sinusoidal function, we can assume a particular solution of the form:
y_p = A sin(2t) + B cos(2t)
Taking the derivative of this, we get:
y'_p = 2A cos(2t) - 2B sin(2t)
Substituting y_p and y'_p into the original equation, we get:
2A cos(2t) - 2B sin(2t) - 3 = 10 - 4 sin(2t)
Matching the coefficients of sin(2t) and cos(2t) on both sides, we get:
-2B = -4 => B = 2
2A = 0 => A = 0
So, our particular solution is:
y_p = 2 cos(2t)
Therefore, the general solution of the non-homogeneous equation is:
y = y_h + y_p = 3t + C + 2 cos(2t)
To find the value of C, we can use the initial condition y(0) = 5:
y(0) = 3(0) + C + 2 cos(2(0)) = 5
C + 2 = 5
C = 3
Thus, the solution to the initial value problem is:
y = 3t + 3 + 2 cos(2t)
To know more about non-homogeneous equation refer here:
https://brainly.com/question/16921211
#SPJ11
valuate the expression under the given conditions. tan(θ + ϕ); cos θ = − 1/3 , θ in Quadrant III, sin ϕ = 1/4 , ϕ in Quadrant II
Under the given conditions, with cos θ = -1/3 in Quadrant III and sin ϕ = 1/4 in Quadrant II, the expression tan(θ + ϕ) evaluates to (-√120 + 1) / (√15 + √8). This represents the tangent of the sum of the two angles.
To evaluate the expression tan(θ + ϕ) given the conditions:
First, determine the values of tan θ and tan ϕ using the given information.
Since cos θ = -1/3 and θ is in Quadrant III, we can use the Pythagorean identity to find sin θ:
sin θ = √(1 - cos^2 θ) = √(1 - (-1/3)^2) = √(1 - 1/9) = √(8/9) = √8/3
Using the ratio definition of tan θ, we have:
tan θ = sin θ / cos θ = (√8/3) / (-1/3) = -√8
Similarly, since sin ϕ = 1/4 and ϕ is in Quadrant II, we can use the Pythagorean identity to find cos ϕ:
cos ϕ = √(1 - sin^2 ϕ) = √(1 - (1/4)^2) = √(1 - 1/16) = √(15/16) = √15/4
Using the ratio definition of tan ϕ, we have:
tan ϕ = sin ϕ / cos ϕ = (1/4) / (√15/4) = 1/√15
Now, we can evaluate tan(θ + ϕ) using the sum formula for tangent:
tan(θ + ϕ) = (tan θ + tan ϕ) / (1 - tan θ * tan ϕ)
Substituting the values we obtained earlier, we have:
tan(θ + ϕ) = (-√8 + 1/√15) / (1 - (-√8 * 1/√15))
Simplifying further, we can rationalize the denominator:
tan(θ + ϕ) = (-√8 + 1/√15) / (1 + √(8/15))
Multiplying the numerator and denominator by √15, we get:
tan(θ + ϕ) = (-√8 * √15 + 1) / (√15 + √8)
Therefore, the expression tan(θ + ϕ) under the given conditions is:
tan(θ + ϕ) = (-√(8*15) + 1) / (√(15) + √(8))
= (-√120 + 1) / (√15 + √8)
Note: The final expression can be simplified further, but it is left in this form since the question does not specify to simplify it.
practice more on pythagorean identity here: brainly.com/question/24220091
#SPJ11
The point (2,9) undergoes a translation given by (x,y) (x+3,y-8) the new coordinate of the point is
Answer:
(5 , 1)
Step-by-step explanation:
coordinate point is (2 , 9)
translation rule is
(x , y) = (x + 3 , y - 8)
here x is 2 and y is 9
so the new coordinate will be
(x + 3 , y - 8)
(2 + 3 , 9 - 8)
(5 , 1)
4/3 divided by 12= simplified and fraction form!
Answer:
\({\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}\)
\( \frac{4}{3} \div 12 \\ = \frac{4}{3} \times \frac{1}{12} \\ = \frac{4}{3 \times 12} \\ = \frac{4}{36} \\ = \frac{1}{9 } \\ = 0.11\)
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\( \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)
Answer:
1/9 is the answer
4/3 x 1/12 just multiply but the reciprocal
hope this helps
have a good day :)
Step-by-step explanation:
on july 9, mifflin company receives an $7,400, 90-day, 6% note from customer payton summers to replace an account receivable. what entry should be made by mifflin on the maturity date assuming the maker pays in full, and no adjusting entries have been made related to the note? (use 360 days a year.)
The entry that should be made by Mifflin Company on the maturity date is as follows: Debit: Notes Receivable $7,400
Credit: Accounts Receivable - Payton Summers $7,400
This entry records the collection of the note receivable from Payton Summers, replacing the accounts receivable. The debit to Notes Receivable reduces the balance in the Notes Receivable account, while the credit to Accounts Receivable - Payton Summers reduces the outstanding balance in the accounts receivable from the customer.
It's important to note that the entry assumes that the note is paid in full on the maturity date. If there were any adjustments or additional entries required (e.g., interest accrual), they would need to be considered and recorded separately
learn more about Notes Receivable here:
https://brainly.com/question/13651431
#SPJ11
y=-4x+6
3x + 4y = -2
Is (2, 2) a solution of the system?
Choose 1 answer:
- Yes
- No
Answer:
No because the first one will get an answer of -2 while the second one will get an answer of 14
Step-by-step explanation:
Hope This Helped
Answer:
no
Step-by-step explanation:
To solve this we can plug in 2 for x and 2 for y and see if the equations are true
we have
2= -4(2)+6
2= -8+6
2= -2
this is false, the answer is no
I am unsure how to solve this problem and what formula
SOLUTION:
The z-score is gotten as;
\(Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)Inserting, the values we have;
\(Z=\frac{7-8}{\frac{3}{\sqrt{25}}}=-1.67\)Thus, using a significance level of 0.05;
Thus, the answer is OPTION C
what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) 2n 1? b) (n 1)n 1? c) n/2? d) n/2 n/2?
When a\(_{n}\) = \(2^{n}\)+ n, a₀ = 1, a₁ = 3, a₂ = 6, and a₃ = 11
When a\(_{n}\) = n^(n+1)!, a₀ = 0, a₁ = 2, a₂ = 2⁶, and a₃ = 3²⁴
When a\(_{n}\) = [n/2], a₀ = 0, a₁ = 1/2, a₂ = 1, and a₃ = 3/2
When a\(_{n}\) = [n/2] + [n/2], a₀ = 0, a₁ = 1, a₂ = 2, and a₃ = 3/2
Number sequence
A number sequence is a progression or a list of numbers that are directed by a pattern or rule.
Here,
a₀, a₁, a₂, and a₃ are terms of a sequence
from option a, a\(_{n}\) = \(2^{n}\)+ n
⇒ a₀ = 2⁰+ 0 = 1+0 = 1
⇒ a₁ = 2¹+ 1 = 2+1 = 3
⇒ a₂, = 2²+ 2 = 4+2 = 6
⇒ a₃ = 2³+ 3 = 8 +3 = 11
from option b, a\(_{n}\) = n^(n+1)!
⇒ a₀ = 0^(0+1)! = 0
⇒ a₁ = 1^(1+1)! = 2² = 2
⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶ [ ∵ 3! = 6 ]
⇒ a₃ = 3^(3+1)! = 3^(4)! = 3²⁴ [ ∵ 4! = 24 ]
from option c, a\(_{n}\) = [n/2]
⇒ a₀ = [0/2] = 0
⇒ a₁ = [1/2] = 1/2
⇒ a₂, = [2/2] = 1
⇒ a₃ = [3/2] = 3/2
from option d, a\(_{n}\) = [n/2] + [n/2]
⇒ a₀ = [0/2] + [0/2] = 0
⇒ a₁ = [1/2] + [1/2] = 1/2 + 1/2 = 1
⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2
⇒ a₃ = [3/2] + [3/2] = 6/4 = 3/2
Learn more about Number sequence problems at
https://brainly.com/question/28680939
#SPJ4
The Complete Question is -
What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals
a. \(2^{n}\) + n b. n^(n+1)!
c. [n/2] d. [n/2] + [n/2]
Which is the graph of the solution set of the inequality -3/5x > 9
Answer:
The first graph is the graph of the solution set of the inequality \(-\frac{3}{5}\) x ≥ 9
Step-by-step explanation:
If multiply or divide the two sides of the inequality by a negative number, then we must reverse the sign of the inequality
Example:
2 < 3, when we divide both sides by -1, then it will be -2 > -3
Let us solve the question
∵ \(-\frac{3}{5}\) x ≥ 9
→ To find x divide both sides by \(-\frac{3}{5}\)
∵ \(-\frac{3}{5}\) is a negative number
→ From the rule above
∴ Reverse the sign of inequality
∴ x ≤ -15
∵ We have an equal sign with the sign of inequality
∴ The vertex of the arrow should be bold
∵ The sign of inequality is smaller than
∴ The arrow must be pointed to the left ⇒ (negative direction)
∵ x ≤ -15
∴ The arrow represents it has a bold starting point at -15 and pointed
to the left
∴ The answer is the first graph
A sample of 100 is selected from a known population of 350 elements. The population standard deviation is 15. Using the finite population correction factor, what is the standard error of the sample means
The standard error of the sample means, using the finite population correction factor, is approximately 1.50.
To calculate the standard error of the sample means with the finite population correction factor, we use the formula:
Standard Error = Population Standard Deviation / √(Sample Size) √((Population Size – Sample Size) / (Population Size – 1))
Given that the population standard deviation is 15, the sample size is 100, and the population size is 350, we can substitute these values into the formula.
Standard Error = 15 / √100 √((350 – 100) / (350 – 1)) ≈ 1.50
Therefore, the standard error of the sample means, with the finite population correction factor, is approximately 1.50. The finite population correction factor adjusts for the finite population size, resulting in a slightly smaller standard error compared to when the correction factor is not used.
Learn more about Standard error here: brainly.com/question/32854773
#SPJ11