Answer:
The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Step-by-step explanation:
Given : f(x) = −4 cos 3x and g(x) = −4 cos 3x − 6.
To find : How does changing the function affect the range of the function?
Solution : We have given that
Function change from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6.
By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .
Then Function would shift down 6 unit .
For f(x) = −4 cos 3x
Range: [ -4,4]
For g(x) = −4 cos 3x − 6.
Range : [-10 ,-2]
Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Ira purchased a new dishwasher for $361.35. The dishwasher was on sale for 17.5% off. What was the original price of the dishwasher, to the nearest dollar?
The original price of the dishwasher with a 17.5 percentage discount is $361.
We have,
To find the original price of the dishwasher, we need to figure out what the discount amount is and subtract it from the sale price.
The discount amount is 17.5% percentage of the original price, which can be expressed as:
Discount amount = 0.175 x Original price
We can rearrange this equation to solve for the original price:
Original price = Discount amount / 0.175
The discount amount is:
Discount amount = 0.175 x $361.35 = $63.25
So the original price of the dishwasher was:
Original price = $63.25 / 0.175 = $361.43
Rounding this to the nearest dollar gives an original price of $361.
Thus,
The original price of the dishwasher with a 17.5 percentage discount is $361.
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Which expression is equivalent to radical of 10 over ^4 and the radical of 8.
Gideon made two errors in the proof. Identify and correct the errors
Answer:
Identify: Step 6 and step 7
Correction:
I think step 6 is just not necessary and should be removed.
And step 7 should be the transitive property of equality not the Substitution Property of Equality
Which expressions are equivalent to 3(x + 3y + 2x − y)?
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle. SOME HELP WITH THIS PLEASE
The game stop is having a sale and all games are reduced by 55%. If a game is now $29.99, what was the original price? Round your answer to the nearest cent
The table below shows the values for the function y=f(1/5x)
Which equation can be used to calculate the area of the shaded triangle below? A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.
Answer:
fraction 1 over 2 (10 × 6) = 30
Step-by-step explanation:
The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a
total of 21 games?
The sum of 38 and twice a number is 24
38 +2N = 24
2N = -14
N = -14/2 = -7
the number is -7
Macy wants to buy a skateboard for $42. She has $95 in her account. She spent $12.99 to buy stationary. She also wants to buy some ice cream bars for $3.07 each. What is the maximum number of ice cream bars, n, that Macy can buy so that she has enough money left to buy the skateboard
Answer:
She can buy 13 ice cream bars
Step-by-step explanation:
In which situation is the distance traveled proportional to time? A: An airplane landing
B;A soccer ball you kick across a field C:A person running on a treadmill at 3 mph for 6 minutes D:A 3 -minute ride on a roller coaster
Answer:
Step-by-step explanation:
you add it my g
Answer:
C: A person running on a treadmill at 3mph for 6 minutes
Step-by-step explanation:
I just had the question and got it right.
An item is regularly priced at $75. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
You are selling items from a catalog for a school fundraiser.Write and solve two inequalities to find the range of sales that will earn you between $40 and $50. Earn $5 for every $50 in sales!
To find the range of sales that will earn you between $40 and $50, you can set up two inequalities and solve them to find the minimum and maximum sales required.
Explanation:To find the range of sales that will earn you between $40 and $50, we can set up two inequalities.
First, let's find the minimum sales required to earn $40. We can use the inequality 5x >= 40, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be greater than or equal to $40.
Next, let's find the maximum sales required to earn $50. We can use the inequality 5x <= 50, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be less than or equal to $50.
To solve these inequalities:
For the first inequality, divide both sides by 5, giving us x >= 8. This means the minimum sales required to earn $40 is $8.
For the second inequality, divide both sides by 5, giving us x <= 10. This means the maximum sales required to earn $50 is $10.
Therefore, the range of sales that will earn you between $40 and $50 is $8 to $10.
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Two trucks leave from the same truck stop at the same time. One travels east on interstae 80 and the other travels west. The eastbound truck averages 40 miles per hour, and the westbound truck averages 50 miles per hour. In how many hours will the trucks be 300 miles apart?
Answer:
About 3 hours
Step-by-step explanation:
Imagine one truck going West and the other East. One is going 50 miles per hour and the other is going 40 miles per hour. Because you need to use the equation 50x+40x=300. You should get x = 3.3.
what would be the value of 150 after eight years if you earn 12 percent interest per year
Answer:
$371.3944
Step-by-step explanation:
Principal = 150
Time = 8 years
Rate of interest = 12% = 0.12
No. of compounds per year = n = 1
Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r is the rate of interest in decimals
t = time in years
n = no. of compounds per year
Substitute the values in the formula :
[tex]A=150(1+\frac{0.12}{1})^{8}[/tex]
[tex]A=371.3944[/tex]
Hence the value of 150 after eight years if you earn 12 percent interest per year is $371.3944
what is ten times as much as 4.9
The question wants to find out what is ten times as much as 4.9. By multiplying 4.9 by 10. The answer is 49.
Explanation:The student is asking about multiplication which is an operation in Mathematics. In this case, the student wants to know what is ten times as much as 4.9. To find the answer, we need to multiply 4.9 by 10. The multiplication process is as follows:
4.9 x 10 = 49
So, ten times as much as 4.9 is 49.
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Bart takes a random sample of 50 students in his seventh grade class and finds that 40% of the sample prefers chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion , How many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream??????
Which answer is correct 40,80,50,200
The number of students in the seventh grade would prefer chocolate ice cream over vanilla ice cream is 80
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
If 40% of the sample of 50 students prefer chocolate ice cream, we can use that percentage to estimate the number of students who prefer chocolate ice cream out of the entire seventh-grade class of 200 students.
40% of 50 = (40/100) x 50 = 20 students in the sample prefer chocolate ice cream.
On simplifying the proportion , we get
To estimate the number of students in the entire seventh-grade class who prefer chocolate ice cream, we use the same percentage:
40% of 200 = (40/100) x 200 = 80 students in the seventh grade are expected to prefer chocolate ice cream over vanilla ice cream.
Hence , based on the sample proportion, we can estimate that 80 students in the seventh grade would prefer chocolate ice cream over vanilla ice cream.
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Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq
[/tex]x[tex] \leq [/tex] 3pi/2
What's 2 ways to write 100203
Mrs.Lin is planning her daughters birthday party. At parties r us the fee is $80 plus $10 per child. At birthday palace, the fee is $150 plus $5 per child. Write and solve an equation to determine how many children must be invited for the costs to be equal?
How many feet are in 30 yards?
Answer:
90 feet
Step-by-step explanation:
Formula we use,
→ 1 yd = 3 ft
Then no of feet in 30 yards is,
→ 30 × 3
→ 90 ft
Hence, the answer is 90 ft.
express 0.7033 as a mixed number
0.7033 as a mixed number is 7033/10,000.
Understand that 0.7033 is a decimal number less than 1, meaning it will be represented as a proper fraction.
Since the decimal extends to four decimal places, the denominator will be ,
10,000 (as 10⁴ = 10,000).
= 7033/10,000.
The greatest common divisor (GCD) of 7033 and 10,000 is 1, meaning 7033/10,000 is already in its simplest form.
Therefore, the mixed number representation of 0.7033 is 7033/10,000.
Cat breeders often mate cats that have special traits that they will pass on to offspring. This is an example of
-8*-4^2/7
i got 32/7?
Consider the following set of equations: Equation M: 3y = 3x + 6 Equation P: y = x + 2 Which of the following best describes the solution to the given set of equations? No solution One solution Two solutions Infinite solutions
Answer:
I'm answering for other guy brainliest
Step-by-step explanation:
but if you still want to know, its infinite solutions
Richard had a balance of −$322.25 in his account, and Scott had a balance of −$241.75 in his account. Which statement explains why Richard owes the bank more than Scott?
Answer: The answer is B if you don't know what B is here:
|–322.25| > |–241.75| is the correct answer.
Hope this helps!
Step-by-step explanation:
You are studying for your final exam of the semester. up to this point, you received 3 exam scores of 67%, 68%, and 78℅. to receive a grade of C in the class, you must have an average exam score between 70% and 79% for all 4 exams including the final.
Answer: its 68,100 on plato
A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 students entered for both business mathematics and statistics how many student enrolled in the two courses altogether