The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?
A. g(x)=x−6
B. g(x)=−x−6
C. g(x)=−6x−6
D. g(x)=−x+6
Answers
The correct answer is [tex]g(x)=-x-6[/tex]
EXPLANATION
The mapping for reflection across the x-axis is given by [tex](x,-y)[/tex]
Given [tex]f(x)=x+6[/tex]. We can let [tex]y=x+6[/tex]
we can write the ordered pair [tex](x,y)[/tex] or [tex](x,x+6)[/tex] as the ordered pair of the preimage of [tex]f[/tex].
The image function will have the ordered pair [tex](x,-y)[/tex]
or
[tex](x,-x-6)[/tex].
That is, we negate all the y-coordinates.
Therefore
[tex]g(x)=-x-6[/tex].
I took the test and this was the answer
Related Questions
Evaluate 12x−3y12x−3y when x=−14x=−14 and y=3y=3.
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-3y power 12 - 3y + 12
Answer:
-12
Step-by-step explanation:
I think I got it right on Big Ideas
Does 17/20 repeat or terminate
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Thankyaw (:
hope this helps
A jeweler buys a ring from a jewelry maker for $125. He marks up the price by 135% for sale in his store. What is the selling price of the ring with 7.5% sales tax?
Answers
First, you would multiply 125*135%= 168.75
Then you would add 125 to 168.75 and you would get 293.75.
Next, you would multiply 293.75*7.5%= 22.03
Finally, add 22.03 to 293.75 and your answer is...
$315.78
Answer:
$315.78
Step-by-step explanation:
Susie is an organic vegetable grower the perimeter of her rectangular vegetable garden is 72 yards the width of the vegetable garden is 9 yards how long is the vegetable garden
Answers
A newly discovered planet has a mass of 4.8743 · 10 ^22 kilograms. It's estimated that there is water on the surface and that, the water's mass is only 4 · 10^ -2 percent of the planet's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answers
To estimate the mass of water on the planet with a mass of 4.8743 × [tex]10^{22[/tex] kg, you multiply this mass by[tex]4 * 10^{-2[/tex] percent converted to decimal (0.0004), giving a water mass of approximately 1.95 * [tex]10^{19[/tex]kg.
To estimate the mass of the planet's water, we first need to find 4% of the planet's total mass. We can do this by multiplying the planet's mass by the percentage as a decimal:
Mass of water = (4.8743 × 10^22 kg) × 0.04
Now, let's perform the multiplication:
Mass of water = 1.94972 × [tex]10^{19[/tex] kg
So, the estimated mass of the planet's water is approximately 1.95 × [tex]10^{19[/tex] kilograms.
Is 632 a multiple of 4
Answers
In this number, the last two digits form the number 32. 32 is divisible by 4, so 632 is divisible by 4.
How many points need to be removed from this graph so that it will be a function?
Answers
Answer:
The correct option is 3.
Step-by-step explanation:
From the given graph it is noticed that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).
So, the graph represents a relation,
R = {(-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4)}
A relation is called a function if an only if for each value of x there exist a unique value of y.
In the given relation, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.
From (-3,2) and (-3,3), we need to remove one point.
From (1,4) and (1,-4), we need to remove one point.
From (2,-2) and (2,-4), we need to remove one point.
It means total we need to remove 3 points from this graph so that it will be a function.
Therefore the correct option is 3.
Answer:
3 points
Step-by-step explanation:
got it right in Edg
what is the volume of 20 grams of an object with a density of 55g/cm^3?
Answers
divide the density by the mass
The volume of an object with a mass of 55g/cm³ and a mass of 20 grams is 27.5cm³.
What are mass, volume, and density?Mass is the quantity of matter in a physical body.
The volume shows the amount of 3D space occupied by a closed object.
Density is mass per unit of volume.
Volume is only defined for 3-dimensional objects 2 dimensional objects have no volume.
We know volume is equal to mass/density.
Given an object has a density of 55g/cm³ and a mass is 20 grams.
∴ Volume = (55/20) cm³.
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Tammy and Jodi assembled 420 circuit boards in 8 hours. The next day they assembled 36 more circuit boards in the same amount of time. What was their average rate on the second day? A. 87 boards per hour B. 70 boards per hour C. 57 boards per hour D. 36 boards per hour
Answers
8 hours = 420 circuits
2nd day
8 hours = 420 + 36
= 456 circuits
Average = 456/8
= 57 circuits per hour
Option C. Is the right answer
Answer:
C
Step-by-step explanation:
A spider walks about 19 cm each second. About how long would it take the spider to walk around the perimeter of a room that is 3 m wide and 4 m long?
Answers
Final answer:
To calculate the time it takes the spider to walk around the perimeter of a 3 m by 4 m room, we first find the perimeter in meters, convert it to centimeters, and then divide by the spider's speed in cm/s. The perimeter of the room is 14 m, which is 1400 cm. Dividing this by the spider's speed, 19 cm/s, gives us approximately 74 seconds.
Explanation:
To find out how long it would take the spider to walk around the perimeter of a room that is 3 m wide and 4 m long, we first need to calculate the perimeter of the room. The formula for perimeter P of a rectangle is P = 2(l + w), where l is the length and w is the width.
So for a room that is 3 m wide and 4 m long, the perimeter is:
P = 2(4 m + 3 m) = 2(7 m) = 14 m
Since the spider walks 19 cm each second and there are 100 cm in a meter, we convert the perimeter to centimeters:
14 m = 1400 cm
Now, we calculate the time t it will take for the spider to walk this distance by dividing the perimeter by the spider's speed:
t = perimeter/speed = 1400 cm / 19 cm/s
Therefore, the time taken for the spider to walk around the perimeter is approximately:
t = 73.68 s
So, the spider would take about 74 seconds to walk around the perimeter of the room.
Final answer:
To determine the time for a spider to walk around a 3 m by 4 m room, calculate the perimeter (14 m), convert it to centimeters (1400 cm), and divide by the spider's speed (19 cm/s), resulting in approximately 73.68 seconds.
Explanation:
To calculate the time it would take for a spider to walk around the perimeter of a 3 m by 4 m room, first, find the perimeter of the room by adding the lengths of all the sides:
Perimeter = 2 × (3 m) + 2 × (4 m) = 6 m + 8 m = 14 m.Next, since the spider walks 19 cm each second, convert the perimeter from meters to centimeters because the units need to match.
Perimeter in centimeters = 14 m × 100 cm/m = 1400 cm.Now, divide the total perimeter by the spider's speed to find the time it takes:
Time = Perimeter / SpeedTime = 1400 cm / 19 cm/sTime ≈ 73.68 secondsTherefore, it would take approximately 73.68 seconds for the spider to walk around the perimeter of the room.
is 4.47 a rational number
Answers
Yes, 4.47 is a rational number because it can be expressed as a fraction of two integers.
Explanation:Yes, 4.47 is a rational number.
A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
In this case, we can express 4.47 as the fraction 447/100, which is a quotient of two integers. Therefore, it is a rational number.
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-4w less than or equal to 20
Answers
-4w ≤ 20
All you have to do is divide both sides by -4
-4w/-4 ≤ 20/-4
w ≥ -5
Best of luck!
/-4 /-4 (Divde -4 by each side)
w≥-5 (When you divide postive by negative your sign need flip).
So answer is w≥-5
Your picture of your family crest is 4.5 inches wide. You need a reduced copy for the front page of the family newsletter. The copy must fit in a space 1.8 inches wide. Which scale factor should you use on the copy machine to adjust the size of your pictures of the crest?
A) 2/5
B) 5/2
C) 1/2
D) 1/5
Answers
Answer:
The answer is : A 2/5
(I just finished taking the test)
The scale factor would be 2/5 to reduce the width from 4.5 inches to 1.8 inches.
What is a scale factor?A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller). For example, we can enlarge a rectangle with sides of 2 cm and 4 cm by multiplying each side by a number, say 2.
Given that your picture of your family crest is 4.5 inches wide. You need a reduced copy for the front page of the family newsletter. The copy must fit in a space 1.8 inches wide.
The scale factor will be calculated as,
Scale factor = Reduced size / Original size
Scale factor = 1.8 / 4.5
Scale factor = 0.4 or 2/5
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write the numerical expressions in words then solve 10×(2.5+13.5)
Answers
and the answer is 160
Hope i helped
please mark me the brainliest
Is 17 1/2 to the right or left of 17 2/3 on the number line? Explain your answer.
Answers
so
17 1/2 is to the left of 17 2/3 on the number line
[tex]17\frac{1}{2}[/tex] lies to the left of the number line [tex]17\frac{2}{3}[/tex]
What is number line?A number line can be defined as a pictorial representation of numbers on a straight line.
Given that, Is 17 1/2 to the right or left of 17 2/3 on the number line
17 1/2 = 17.5
17 2/3 = 17.66
17.5 < 17.66
Hence, [tex]17\frac{1}{2}[/tex] lies to the left of [tex]17\frac{2}{3}[/tex]
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PLEASE HELP!
Sarah paints a straight line. The line is 13 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
Answers
Second: 8/2 = 4
Third: 104 + 4 = 108
Your answer is 108
Which property was applied to create this equivalent expression? 7x+(5+6×)--->(7x+5)+6x
Answers
Answer:
Associative property is applied
Step-by-step explanation:
7x+(5+6×)--->(7x+5)+6x
In the given expression , the terms are grouped in different order
In associative property, we can group the numbers in any order
(a+b)+c -------> a+(b+c)
first two terms are grouped on the left side
last two terms are grouped on the right side
7x+(5+6×)--->(7x+5)+6x
In the given expression, the terms are grouped in different order
So Associative property is applied
Answer:
Associative property of Addition.
Step-by-step explanation:
We are given the following information in the question:
We are given the expression:
[tex]7x + (5+6x) = (7x+5)+6x[/tex]
We have used the associative property of addition.
Associative property of addition:
The associative property states that we can add regardless of how the numbers are grouped. By grouped it is meant how you use parenthesis are used. In other words, if we are adding, it does not matter where you put the parenthesis. Whatever may be the order of addends, the sum will always be same.Which scatter plot shows a negative nonlinear association?
Answers
Answer:
The second option
Step-by-step explanation:
The answer is the second option because you can clearly see that it is nonlinear since there is no straight line, but you can still see it going at a negative rate.
Assume the $10,000 Treasury bill, 4% for 13 weeks. Calculate the effective rate of interest
Answers
To find the effective rate of interest on a 13-week Treasury bill with a 4% rate, you first convert the discount rate to an annualized rate by dividing the time period by the number of weeks in a year. As Treasury bills do not compound within the maturity period, the EAR is simply the annualized rate, which in this case is 16%.
Explanation:To calculate the effective rate of interest for a $10,000 Treasury bill with a 4% interest rate for 13 weeks, we use the formula for the effective annual rate (EAR). The formula considers the nominal annual interest rate and the number of compounding periods per year.
The nominal annual interest rate is given by the face value minus the price paid for the Treasury bill, divided by the price paid, and then multiplied by 100 to get the percentage. However, the question only provides the interest rate but not the purchase price, so I'm assuming this given interest rate is the discount rate. First, we need to calculate the annualized discount rate and then convert it to the effective annual rate since Treasury bills are typically discounted securities.
To calculate the annualized discount rate:
Convert the 13 weeks to a fraction of the year: 13/52 = 0.25 years.Multiply the stated discount rate (4%) by the annualization factor (1/0.25): 4% * (1/0.25) = 16%.Now, to convert the annualized discount rate to the effective annual rate (EAR):
EAR = (1 + nominal interest rate / number of compounding periods) ^ number of compounding periods - 1.Since Treasury bills do not have compounding within their maturity period, the number of compounding periods is 1.EAR = (1 + 0.16 / 1) ^ 1 - 1 = 0.16 or 16%.Note: If the purchase price was lower than the face value to account for the 4% interest over 13 weeks, the effective annual rate would be higher than 16%.
If a stereo is sold for $59.99 and Karen pays $64.19 for it when she checks out, what is the sales tax in the area
Answers
64.19 - 59.99 = 4.20
So the percentage is determined by dividing that difference by the cost of the item originally:
4.20 / 59.99 = about .07
Next, you change this number to a percentage by moving the decimal to the right two spaces, so that would be 7%.
Therefore, the sales tax in the area is 7%.
The sales tax in the area where Karen bought the stereo is $4.20. This was calculated by subtracting the original price of the stereo ($59.99) from the total price paid ($64.19).
Explanation:To find the sales tax in this scenario, we need to subtract the original price of the stereo, which is $59.99, from the total price that Karen paid, which is $64.19. The difference will represent the sales tax that Karen had to pay at the checkout.
So we calculate: $64.19 - $59.99 = $4.20
Therefore, the sales tax that Karen paid for the stereo is $4.20.
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What is larger
a. 3.2x10^5
b.4.2x10^3
c. 1.1x10^5
Answers
3.2 * 10^5 = 320,000
4.2 * 10^3 = 4,200
1.1 * 10^5 = 110,000
A quicker way to solve it is to look at the exponents and see which one is bigger (in this case, the exponent 5 in A and C is bigger than the 3 in B) and then look at the decimal to see which is bigger (in this case, 3.2 is larger than 1.1). But yea, that's just my way to solve it.
I hoped this helped! :)
What is the best estimate of 49% of
598
Answers
How many times can 4 go into 69
Answers
Jeanette and Leslie are trying to solve this problem: A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
*Please Show Work*
Answers
134/8
Which is about 16 or 17
jamil has 3 pet lizards. the pet store owner said that jamil will need to buy a total of 36 crickets to feed his lizards if each lizard eats the numberbof crickts how many crickts does each lizard eat?
Answers
Here is what we know:
Each lizard eats the same amount.
They need to buy 36 crickets.
There are three lizards.
What we need to know:
How many crickets does each lizard eat?
How to solve:
Divide 36 by three.
Math:
36/3 = 12.
Final answer:
Each lizard eats 12 crickets.
I need help with this asap right now please
Answers
47x31=1457
34x31=1054
1457-1054=403
1. Which expression shows the distance on the number line between −14 and −5 ?
|−5−14|
|−14+(−5)|
|−14−5|
|−14−(−5)|
2. Which expression is equivalent to 5.9−3.8 ?
−3.8−5.9
3.8−5.9
3.8 + 5.9
−3.8+5.9
Answers
Answer: I don’t know number one but number 2 is the last one
Step-by-step explanation: Do the math in a calculator
Ling uses 21 bananas to make 7 fruit smoothies. What is the unit rate that Ling uses for bananas per each smoothie? What is the unit rate? Explain how to use equivalent fractions to find the answer
Answers
3/1 so 3 smoothie is answer
21/7=3/1(equivalent fraction)
Answer:
The unit rate that ling uses for bananas per each smoothie is (3/1) bananas per smoothie
Step-by-step explanation:
Ling uses 21 bananas to make 7 fruit smoothies. Total of bananas B = 21. Total of smoothies S =7.
The unit rate U is the relationships B divided by S.
U = B/S
U = 21 bananas / 7 smoothies
U = 21/7 Bananas per smoothies.
We can use the equivalent fractions to find the unit rate. 21 can be expressed as 7*3. 7 can be expressed as 7*1. We can simplify the number 7 in numerator and denominator.
U = (7*3)/(7*1)
U = 3/1.
Finally, the unit rate is 3/1 bananas per smoothie.
Pls help me I really need it
Answers
7/2 as an improper fraction
Answers
set up the long division
divide 7 and 2 which is 3 with a remainder of 1
since that's true make it a mixed fraction
FOR NOW its 3 1/2
Now that's its a mixed fraction lets make it into a improper one
3 * 2 + 1/2
Now that was easy so simplify it.
Now the answer would be 7/2.
So basically this is already an improper fraction, 7/2 is 3 1/2 expressed as a improper fraction.