Answers
The new function resulting from the vertical translation of the function f(x) = x - 2. (Correct choice: C)
How to use a vertical translation in a linear equation
In this problem we find a linear equation, of which we are asked to traslated vertically, a task that can be done by rigid transformation known as vertical translation, which is defined by the following formula:
g(x) = f(x) + k (1)
Where k is the change done on the function along the y axis. Please notice that there is a vertical translation in the + y direction if and only if k > 0, otherwise there is no change (k = 0) or a vertical translation in the - y direction if and only if k < 0.
If we know that f(x) = x - 2 and k = 4, then the resulting expression is:
g(x) = (x - 2) + 4
g(x) = x + (4 - 2)
g(x) = x + 2
The new function resulting from the vertical translation of the function f(x) = x - 2. (Correct choice: C)
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Related Questions
4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.
Answers
Answer:
the first part is $2700
the second part is $8100
the third part is $16200
Step-by-step explanation:
Call the first part a (a>= 0)
=> the second part 3a
=> the third part 2.3a = 6a
Because the total of three parts is 27000 so we have:
a + 3a + 10a = 27000
<=> 10a = 27000
<=> a = 2700 (satisfied)
so
the first part is: a = $2700
the second part is: 3a = 3 . 2700 = $8100
the third part is: 6a = 6 . 2700 = $16200
p/s: actually there are some word I don't know how to express them in English. So please notice to correct them
Fill in the blank with the correct response.
Twenty-seven is 25% of _____.
Answers
Answer:
70
Step-by-step explanation:
Answer:
its 108
Step-by-step explanation:
27x4=108
562 ÷ Choose... = 14 R2
Answers
Answer:
7868
Step-by-step explanation:
⇒ This can be written algebraically (with a variable x) as:
562 ÷ x = 14
⇒ Convert the division as a fraction:
[tex]\frac{562}{x}[/tex] = 14
⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable x:
562 · [tex]\frac{562}{x}[/tex] = 14 · 562
⇒ Simplify:
x = 7868
Answer: 7868
Hope this helps! :)
Valeri ran 2 miles in 20 minutes if she continue to run at the same rate how far will she have ran after 50 minutes
Answers
PLEASE HELP i will mark u brainliest
Answers
Answer:
Help: If 30 miles takes up 1 gallon what’s 30x15?
Step-by-step explanation:
Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{x}{x^{2} -9} +\frac{9}{x}[/tex]
Answers
Answer:
[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]
Step-by-step explanation:
x^2 / x(x^2-9) + 9(x^2-9) / x(x^2-9)
x^2 + 9(x^2-9) / x(x^2-9)
x^2 + 9x^2 -81
10x^2 -81 / x^3 -9x is the answer
Use a quadratic equation to find two real numbers with a sum of 2 and a product of
−24
Write the answers in the decreasing order of their values.
Answers
The two real numbers with a sum of 2 and a product of −24 is -4 and 6.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let x represent one number and y represent the other number. The sum of the two real numbers is two. Hence:
x + y = 2
y = 2 - x (1)
The product is -24, hence:
xy = -24
x(2 - x) = -24
2x - x² = - 24
x² - 2x - 24 = 0
x² - 6x + 4x - 24 = 0
x(x - 6) + 4(x - 6) = 0
(x + 4)(x - 6) = 0
x = -4 and x = 6
The two real numbers with a sum of 2 and a product of −24 is -4 and 6.
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In a situation where the sample size was 28 while the population standard deviation was increased, what would be the impact on the confidence interval?
A) It would become narrower due to using the t distribution
B) It would widen with more values
C) It would become wider due to using the z distribution
D) It would become wider with more dispersion in values
Answers
Answer:
C; It would become wider due to using the z-distribution
Step-by-step explanation:
Mathematically, we go on to look at the formula for confidence interval calculations here
The formula involves multiplying z by the s
which is the z-value and the standard deviation
Increasing the standard deviation value means we are increasing the product of multiplying z and s
This means that we are getting a larger value for the multiplication
Thus, we now have a wider confidence interval value as a result of a larger product
So this means that the CI would become wider due to the usage of the z-distribution
A system of equations is shown. `4x + 3y = 8` `4x` `–` `3y =` `-16` solve for x
Answers
Answer:
(-1;4).
Step-by-step explanation:
[tex]\left \{ {{4x+3y=8} \atop {4x-3y=-16}} \right. \ + \ = > \ \left \{ {{8x=-8} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{x=-1} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{y=4} \atop {x=-1}} \right.[/tex]
1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of"
Answers
Explanation: 3x-2x^2 x=3
We replace each x with 3.
3(3)-2(3)^2
Then we solve the equation using pemdas
3(3)-2(9)
9-18= -9
Susan is making sandwiches for a picnic. She needs 1.2 pounds of ham, 1.5 pounds of bologna, and 2 pounds of cheese. How much will she spend in all? Solve this problem any way you choose. Use models to help.
Answers
Answer:
49.3
Step-by-step explanation:
3.40 x 2.90 x 5.00 = 49.3 :)))
Use Pythagorean Theorem to solve for side length AC. Round your answer to the
nearest tenth.
34 m
41 m
O AC 62.4 m
O AC = 56.2 m
O AC- 75.0 m
O AC = 53.3 m
Answers
Answer: AC=53.3
Step-by-step explanation:
So we got the genious's theory that we all love/hate with
a^2 + b^2 = c^2
Now the longest side which in our case is also side (AC) is always gonna be C. So remember the longest side is always C. Since they give us the other 2 sides, we know those sides are (A) and (B) in the theorem.
So lets substitute.
34^2 + 41^2 = C^2
Simplify and It Equates to:
1156 + 1681 = c^2
2837 = c^2
Now Square Both Sides to cancel out that pesky ^2 on the (C) variable.
And you get 53.26 which rounds to 53.3 on your test. Good Luck!
2. Billy's Bikes charges an initial fee of $5 per day to rent a beach cruiser, plus
$2.00 per hour. Which graph models this situation? *
Graph it
Answers
A spinner is divided into equal sections of three possible colors. There are 2 yellow
sections, 2 blue sections, and 4 red sections. Use the drop-down menus to complete the
statements about the likelihood of the given events related to the spinner.
Answers
Spinning a blue is unlikely
Spinning a red or yellow is likely
Spinning another colour is impossible
Spinning red is neither likely nor unlikely
Distinguishing Likelihood From ProbabilityFundamentally crucial is the contrast between probability and likelihood: While likelihood is attached to hypotheses, probability is attached to potential outcomes. This first column's goal is to clarify this distinction.
The set of potential outcomes is complete and mutually exclusive. Let's say we ask a participant to forecast the results of ten coin flips. There are only 11 potential outcomes (0 to 10 correct predictions). One and only one of the potential outcomes will ever be the actual outcome. Therefore, the probability associated with the potential outcomes must add up to 1.
Contrary to outcomes, hypotheses are neither exhaustive nor mutually exclusive.
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What error did Wanda make?
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Answers
Answer:
C
Step-by-step explanation:
the guy above sucks
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Step-by-step explanation:
Can someone help me with this question?
(2,5) and (10,3) What is the slope and the y-intercept
Answers
Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
at the local fair one barn is displaying chickens and rabbits. there are 140 chickens and 160 rabbits. each animal is in its own cage the cages will be arranged in equal rows without mixing animal types. what is the greatest number of animals that can be in each row.
Answers
Answer:
the answer would be 10 animals in each row without mixing up the animals
Step-by-step explanation:
Is this equation an identity? 2c − 2c = 0
Answers
Answer:
no it is. not
Step-by-step explanation:
but some consider it an identity but it's not
Which table correctly lists the reason to prove Line 1 = line 3 given that AB intersects CD
Answers
Answer:
D
Step-by-step explanation:
D
Answer: D
Step-by-step explanation: i just took the test
The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance.
f(x) = 4x – 500
Answers
fill in the blanks /49=1/7
Answers
Answer:
7/49 = 1/7
Step-by-step explanation:
sueuhsjadsi
A computer costs $320. If the sales tax is 7%, what is the amount of sales tax?
Answers
Answer:
22.4
Step-by-step explanation:
Answer:
$22.40
Step-by-step explanation:
To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.
In this situation, you would multiply 320 by .07.
(320)(.07) = 22.40
Therefore, the amount of sales tax is $22.40.
I hope this helps!!
- Kay :)
A plane takes off at 50 feet below sea level and climbs 1,542 feet. At what altitude is the plant currently flying?
Answers
Answer:
-1492
Step-by-step explanation:
1) based on the given conditions, formulate:
50-1542
2) calculate:
50-1542= -1492
please help asap im so confused detailed answer please
Answers
Answer:
326 ft²
Step-by-step explanation:
You want to know the area of the library, which is a composite shape.
AreaThe area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.
The formula for the area of a rectangle is ...
A = LW
Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.
The upper rectangle is 30 ft wide and 5 ft high, so its area is ...
A = (30 ft)(5 ft) = 150 ft²
The lower rectangle is 22 ft wide and 8 ft high, so its area is ...
A = (22 ft)(8 ft) = 176 ft²
The area of the library will be the sum of these two rectangular areas:
library area = 150 ft² +176 ft² = 326 ft²
The library area is 326 square feet.
__
Alternate solution
The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...
(30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²
The method shown above does not require calculating missing dimensions, so is more straightforward.
17.
Which of the following are equiangular quadrilaterals?
a. parallelogram and rectangle
b. trapezoid and rhombus
c. square and rhombus
d. square and rectangle
e. none of these
Answers
If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate?
The rate is?
PLZZZZZ HELP
Answers
Answer:
the interest rate is 3/5
Step-by-step explanation:
i=prt
2700= 5000•r•9
2700= 45000r
2700/45000= 45000r/45000
2700/45000= r
*reduce the fraction to simplest form*
r= 3/5
Simone invests $8000 in an account that compounds interest quarterly and earns 5%. How many years will it take for his money to double?
Answers
Combine like terms to write an equivalent expression. Then use y = 5 to prove the expressions are equivalent. 1 + y + y + y + 1 Complete the statements.
The equivalent expression is . The value of both expressions when y = 5 is . The expressions are .
Answers
Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
Answer:
The equivalent expression is
✔ 3y + 2
.
The value of both expressions when y = 5 is
✔ 17
.
The expressions are
✔ equivalent
.
Step-by-step explanation:
Help please
6. Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding
exercise. How are the resulting statistics fundamentally different from those found in the pre-
ceding exercise?
41 24 30 31 32 29 25 26 26 25 30
Answers
a. Mean of data set = 29
b. Median of data set = 29
c. Mode of data set= 25, 26, 30
d. Midrange of data set = 32.5
What is mode of data set?
Mode of a data set is the value that appears the most often in a data set.
Given that;
Super Bowl ages listed below,
41, 24, 30, 31, 32, 29, 25, 26, 26, 25, 30,
Now, Calculate mean of the data as,
Mean = 41 + 24 + 30 + 31 + 32 + 29 + 25 + 26 + 26 + 25 + 30 / 11
= 319 / 11
= 29
And, Calculate Median of data as;
Firstly arranged in ascending order,
24, 25, 25, 26, 26, 29, 30, 30, 31, 32, 41
Since, There are 11 numbers (odd).
Hence, Median = 29
And, Calculate Mode of data set as;
Since, Mode of a data set is the value that appears the most often in a data set.
So, Mode = 25, 26, 30
Since, Midrange of data set is exactly halfway between the minimum and maximum numbers in a set of data.
So, Midrange = 41 + 24 / 2
= 65/2
= 32.5
Thus, Mean of data set = 29
Median of data set = 29
Mode of data set= 25, 26, 30
Midrange of data set = 32.5
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The complete question is this;
Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding exercise. How are the resulting statistics fundamentally different from those found in the preceding exercise?
41 24 30 31 32 29 25 26 26 25 30
Calculate the value of;
A. Mean
B. Median
C. Mode
D. Midrange
Solve the question above please <3