Answers
Two transformations occur on F(x)
1) Shift 8 units left
So, the expression will be | x + 8 |
2) Shift 3 units down
So, the expression will be |x + 8| - 3
Thus,
G(x) = |x +8| - 3
So, option D is the correct answer
A minus number on the right of an equal sign (where f(x) or y or something like it is on the left of the equal sign) that is negative means that the function is going down. So any positive number in the answer is wrong if it greater than 0.
f(x) = | x | - 3 is going down.
Comment 2
Anything inside the | | which is plus goes left (not right) so you want y = |x + 8| - 3
D<<<< answer
Related Questions
What are the zeros of the function?
f(x)=x^3−2x^2−3x
A
-3, 0, and 1
B
−3, 0, and 2
C
−1, 0, and 3
D
−2, 0, and 3
Answers
f(x) = x(x+1)(x-3)
so has zeros of x = -1, 0, 3, because these values make the factors be zero.
The appropriate choice is ...
C. -1, 0, and 3
How much of a circle does a 100-degree angle turn through?
A. 1
B. 100/180
C. 50/360
D. 100/360
Answers
D. 100/360
A Spanish class has 28 a total of students. The number of females is 4 less than the number of males. How many males and how many females are in the class?
Answers
F + M = 28
F = M - 4
Now we can solve for M by substitution. In the first equation, replace F with (M - 4):
(M - 4) + M = 28
Combine like terms and solve for M:
2M - 4 = 28
2M = 32
M = 16
If there are 16 males, we can solve for the number of females by plugging 16 back into one of the equations:
F = 16 - 4 = 12
There are 16 males and 12 females.
[tex]x + y = 28[/tex]
[tex]x = y + 4[/tex]
x represents the males in the class, and y represents the females in the class.
Because x = y + 4, we can substitute x in the first equation:
[tex]x = y + 4[/tex]
[tex]y + 4 + y = 28[/tex]
Combine like terms.
[tex]2y + 4 = 28[/tex]
Subtract 4 from both sides.
[tex]2y = 24[/tex]
Divide both sides by 2 to get y by itself.
[tex]y = 12[/tex]
Because we know what y is, we can plug in its value into the first equation:
[tex]x + 12 = 28[/tex]
Subtract 12 from both sides to get x by itself.
[tex]x = 16[/tex]
There are 16 males and 12 females in the class.
convert from radians to degrees -7pi/2
Answers
-7π/2=(-7*180)/2=-7*90=-630⁰
-7π/2= -630⁰
-3x-4=-13 solve inequality plz show work!
Answers
What you want to do first is add 4 to -4 and to -13. After doing so, you'll equation will look a little something like this...
-3x=9
You'll then want to divide both -3 and 9 by -3. After doing so, the equation will look like this...
x=-3
Your answer is x=-3
I hope this helps
-3x - 4 = -13
We're essentially just trying to isolate x. So, we need to get x onto its own side of the equal sign! We can do this by adding 4 to both sides.
-3x = -13 + 4
Simplify.
-3x = -9
Divide both sides by -3.
x = 3
~Hope I helped!~
Olga’s family traveled 942 kilometers on the first day of their trip and 894.5 kilometers on the second day.
How many more meters did Olga’s family travel on the first day?
I'm in K12 and if you are too and have the answer, plz help
Answers
We have been given that Olga’s family traveled 942 kilometers on the first day.
And 894.5 kilometers on the second day.
We need to find how many more meters did Olga’s family travel on the first day.
Therefore, we must subtract the distance traveled in first day to the distance traveled in the second day of the trip.
Hence, the difference is given by
[tex]942-894.5\\ \\ 45.5[/tex]
Thus, Olga’s family travel 45.5 km more on the first day.
describe how you shaded bars to show data
Answers
What is the following product? Assume x>0 (4x√5x^2 +2x^2√6)^2 A.80x^4+8x^4√30x+24x^4 B.80x^6+8x^5+8x^5√30x+24x^4 C.104x^4 D.104x^4+16x^4√30
Answers
we are given
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2[/tex]
we can expand it
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x\sqrt{5x^2} +2x^2\sqrt{6} )(4x\sqrt{5x^2} +2x^2\sqrt{6} )[/tex]
we can simplify it
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x\sqrt{5}x +2x^2\sqrt{6} )(4x\sqrt{5}x +2x^2\sqrt{6} )[/tex]
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x^2\sqrt{5} +2x^2\sqrt{6} )(4x^2\sqrt{5} +2x^2\sqrt{6} )[/tex]
now, we can FOIL it
we get
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x^2\sqrt{5})^2 +2*2x^2\sqrt{6} *4x^2\sqrt{5} +(2x^2\sqrt{6} )^2[/tex]
now, we can simplify it
[tex]=4^2\cdot \:5x^4+16\sqrt{30}x^4+2^2\cdot \:6x^4[/tex]
[tex]=80x^4+16\sqrt{30}x^4+24x^4[/tex]
now, we can combine like terms
[tex]\mathrm{Add\:similar\:elements:}\:80x^4+24x^4=104x^4[/tex]
[tex]=104x^4+16\sqrt{30}x^4[/tex]
so, option-D.............Answer
Answer: D
Step-by-step explanation:
hey can you please help me posted picture of question
Answers
subtract the number taking both, so you don't count the same student twice: 34-7 = 27
now subtract that amount from total students: 60 - 27 = 33
The answer is C. 33
The ratio of two sides of a parallelogram is 2 : 5 and its perimeter is 70 cm. Find the sides of a parallelogram.
Answers
Then, perimeter = 2 (sum of the adjacent sides)
[tex] = > 70 = 2(2x + 5x) \\ \: \: \: \: \: \: \: \: 70 = 2(7x) \\ \: \: \ \: \: \: \: \: 35 = 7x \\ \: \: \: \: \: \: \: \: \: \: x = 5[/tex]
Hence, the sides of the parallelogram are
2 × 5 cm = 10 cm
5 × 5 cm = 25 cm
GivEn:
⠀⠀⠀⠀⠀⠀⠀
The ratio of two sides of a parallelogram is 2 : 5.Perimeter of parallelogram = 70 cm⠀⠀⠀⠀⠀⠀⠀
To find:
⠀⠀⠀⠀⠀⠀⠀
Sides of parallelogram?⠀⠀⠀⠀⠀⠀⠀
Solution:
⠀⠀⠀⠀⠀⠀⠀
☯ Let two adjacent sides of parallelogram be 2x and 5x.
⠀⠀⠀⠀⠀⠀⠀
⋆ Refrence of image is shown in diagram:
⠀⠀⠀⠀⠀⠀⠀
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1,1)(1,1)(6,1)\put(0.4,0.5){\bf D}\qbezier(1,1)(1,1)(1.6,4)\put(6.2,0.5){\bf C}\qbezier(1.6,4)(1.6,4)(6.6,4)\put(1,4){\bf A}\qbezier(6,1)(6,1)(6.6,4)\put(6.9,3.8){\bf B}\put(0.7,2.5){\sf 2x}\put(3,0.5){\sf 5x}\end{picture}[/tex]
⠀⠀⠀⠀⠀⠀⠀
[tex]\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}\\ \\[/tex]
Perimeter of parallelogram = 70 cm⠀⠀⠀⠀⠀⠀⠀
[tex]\dag\;{\underline{\frak{We\;know\;that,}}}\\ \\[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter_{\;(parallelogram)} = 2 \times (sum\:of\: adjacent\:sides)}}}}\\ \\[/tex]
[tex]:\implies\sf 2 \times (2x + 5x) = 70\\ \\[/tex]
[tex]:\implies\sf 2 \times 7x = 70\\ \\[/tex]
[tex]:\implies\sf 14x = 70\\ \\[/tex]
[tex]:\implies\sf x = \cancel{ \dfrac{70}{14}}\\ \\[/tex]
[tex]:\implies{\boxed{\sf{\pink{x = 5}}}}\;\bigstar\\ \\[/tex]
Therefore,
⠀⠀⠀⠀⠀⠀⠀
2x = 2 × 5 = 10 cm5x = 5 × 5 = 25 cm⠀⠀⠀⠀⠀⠀⠀
[tex]\therefore[/tex] Hence, Adjacent sides of parallelogram are 10 cm and 25 cm.
Hey can you please help me out posted picture of question
Answers
For rolling a dice there are 6 possible outcomes.
So, for each outcome of a coin there are 6 outcomes of rolling a dice.
So the number of leaves on a tree diagram will be 2 x 6 = 12 leaves.
Hence option A is the correct answer
The slope of a line running through points (6, 2) and (5, 7) is:
Answers
m = (y2-y1)/(x2-x1)
m = (7-2)/(5-6)
m = 5/(-1)
m = -5
The slope is -5
are these answers correct
Answers
3) 27/11
11 goes into 27 two times. The whole number is 2.
11 × 2 = 22
Subtract 27 - 22 = 5.
You have 5/11 left over, so the answer is 2[tex] \frac{5}{11} [/tex].
4) The least common multiple of 5 and 25 is 25.
The least common multiple is the number that can be divided by both 5 and 25.
25 can be divided by 5 and 25.
5) 5/12 - 2/4
Make 2/4 have a common denominator with 5/12. Multiply the top and bottom number of 2/4 by 3.
2/4 = 6/12
Now you can solve: 5/12 - 6/12 = -1/12
The answer is -1/12.
6) 12/15 × 5/24
You can multiply straight across.
[tex] \frac{12}{15} [/tex] × [tex] \frac{5}{24} [/tex] = 60/360
You can simplify 60/360 by dividing both sides by 60.
60/360 = 1/6
The answer is 1/6.
7) 2/7, 3/7, __, 5/7
This is a pattern question.
4/7 is correct, you are just adding 1 to the numerator each time.
8) 9/27 ÷ 3/9
Use Keep, Change, Flip.
Keep the 9/27,
Change the ÷ sign to a × sign.
Flip 3/9 to 9/3.
Your new equation is: 9/27 × 9/3. Now solve.
9/27 × 9/3 = 81/81 ⇒ 1
The answer is 1.
9) 6[tex] \frac{1}{5} [/tex] ÷ [tex] \frac{9}{10} [/tex]
Change 6 1/5 to an improper fraction ⇒ 31/5
Use the Keep, Change, Flip method again.
31/5 × 10/9 = 310/45
310/45 = 62/9
The answer is 62/9 or 6[tex] \frac{8}{9} [/tex].
sophina brought 3 yards of trim to put around a rectangular scarf she wants the width of the scarf to be a whole number that is at least 6 in and at most 12in if she uses all of the trim what are the possible dimensions of her scar write your answers in inches
Answers
1A. Nan and Soto are designing a coffee table using four inch tiles Nan uses 30 tiles and soto uses half as many how many total tiles did they use
1B. If the area of the table is 36 inches by 24 inches will they have enough towels to cover the table if not how many more will they need
2 different questions
But they are related
Answers
2B= what we know
they used 45 tiles each tile is 4 inches which they have covered 180 square inches
what the table is 36*24= 864 squared inches so they will need 171 more tiles because what you do is subtract what they already covered by what the area of the table is actually so do 864-180 which equals 684 then divide it by 4 because that's how long the tiles are to get 171
Nan and Soto used a total of 45 tiles. However, to cover a coffee table that has an area of 36 inches by 24 inches, they need 54 tiles, so they will need to acquire 9 more tiles.
1A. Nan uses 30 tiles and Soto uses half as many, which means Soto uses 15 tiles. So, they used a total of 45 tiles (30 + 15).1B. The area of the coffee table is 36 inches by 24 inches, which equals 864 square inches (36 x 24). Each tile is a four-inch square, so it covers an area of 16 square inches (4 x 4).
To find out how many tiles are needed, we divide the total area of the table by the area of one tile: 864/16 = 54 tiles. Since Nan and Soto have only 45 tiles, they need an additional 54 - 45 = 9 more tiles to cover the table.
hey can you please help me posted picture of question
Answers
f⁻¹(x) = [tex] \frac{7x-3}{4} [/tex]
Explanation:
To get the inverse of a function, we have to follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
4- replace y with f⁻¹(x)
Applying this to the given as follows:
f(x) = [tex] \frac{4x-3}{7} [/tex]
Step 1: replace f(x) with y:
y = [tex] \frac{4x-3}{7} [/tex]
Step 2: swap the x and y variables:
x = [tex] \frac{4y-3}{7} [/tex]
Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y = [tex] \frac{7x-3}{4} [/tex]
Step 4: replace y with f⁻¹(x):
f⁻¹(x) = [tex] \frac{7x-3}{4} [/tex]
Hope this helps :)
Find the range of the following data. 5.3, 6.2, 3.1, 4.8, 7.3
Answers
[tex]7.3 - 3.1 = 4.2[/tex]
Range = 4.2
Find the range of the following data. 5.3, 6.2, 3.1, 4.8, 7.3
Solution:
In Statistics, Range is the difference between the lowest and highest values.
Or, Range= Maximum Value-Minimum Value
In the given set :5.3,6.2,3.1, 4.8, 7.3
Let us arrange in increasing order first
3.1, 4.8, 5.3, 6.2, 7.3
So, The Lowest value in the set=3.1
And, The Highest value in the set=7.3
So, Range= Highest Value- Lowest Value
Range=7.3-3.1
Range=4.2
Answer: Range=4.2
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
a
By what percentage is the grapefruit heavier than the apple?
PLS answer this soon... before an hour at most.
Answers
1- Let's give values to the weight of each fruit:
orange=0.5 kg
grapefruit=(0.5)+(0.08)(0.5 kg)=0.54 kg
apple=(0.5)-(0.1)(0.5 kg)=0.45 kg
2- Therefore, you have:
%=100%-(apple/grapefruit)x100
%=100%-(0.45/0.54)X100
%=16.66%
The answer is: 16.66%
Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1
Answers
plug in
= 2(-3) - [4(2)- 3] + 5(-3)(-1)
= -6 - 5 + 15
= 4
answer
4
What is the area of a parallelogram that has a base of 6 cm and a height of 4 mm
Answers
What is the opposite or addictive inverse of 43
Answers
The opposite of a number is simply found by dividing by 1. If it were a negative number, it would become positive, and vice versa.
I hope this helps!
Jody practiced A piano pieces for 500 seconds bill practice A piano pieces for eight minutes to practice longer explain
Answers
Hope this explanation was helpful!
John take longer time.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time John practice = 500 seconds
And, Time bill practice = 8 minutes
= 8 x 60 second
= 480 second
Therefore, We get;
⇒ 500 > 480
So, John practice more time.
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a weightlifter uses 45 pound plates and 10 pound plates to lift 260 pounds .let x represent the number of 45 pounf weights and y represents the number of 10 pound weights .
part 1 Rights an equation is standard form that represents the situation.
part 2. if the weightlifter uses eight 10 pound weights, how many 45 pound weights did he use???????
Answers
The total weight is given by ...
45x +10y = 260
Part 2.
The solution to the equation when y=8 is
45x +10*8 = 260
45x = 180
x = 180/45 = 4
The weightlifter used 4 45-pound weights.
A standard form equation representing the weightlifting situation is 45x + 10y = 260. If eight 10-pound plates are used, the number of 45-pound plates used is 4.
Explanation:The situation given can be translated mathematically to an equation in standard form as follows: 45x + 10y = 260. This equation signifies that the total weight lifted (260 pounds) is equal to the sum of the weight of the 45
pound plates
(which each weighs 45 pounds multiplied by the number of plates, represented by x) and the 10 pound plates (which each weighs 10 pounds multiplied by the number of plates, represented by y). In the second part of the question, we're told that the weightlifter uses eight 10-pound weights, so y=8. Substituting y=8 into the equation from above, it simplifies to 45x + 80 = 260, which solves to x = 4. So, if the weightlifter uses eight 10 pound plates, then he uses four 45 pound plates.
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How can operations of polynomials be used to create new polynomial models?
Answers
Answer:
Adding and subracting change from one polynomial to another by combining like terms, when multiplying and dividing don't do that.
In your drawer you have 10 white socks, 6 black socks, 4 brown socks and 2 blue socks. your roomate is still asleep, and you cannot turn the light on while you get dressed. you reach in blindly and grab two socks. what is the probability of pulling out a matching pair of black socks?
Answers
the number of black socks is 6 and in one pair of sock, there are 2 socks.
so, 6/22 = 3/11 which means out of 6 black socks I pulled out 3/11 pair of black socks.
which of the following angles is coterminal with 480°
Answers
or
480⁰-360⁰=120⁰
You need to remove all 360 angles, sometimes it can be more than one in it.
Coterminal angle is 120⁰.
An angle coterminal with 480° can be found by subtracting multiples of 360° from 480°. Two examples of such angles are 120° and -240°.
Explanation:To find an angle that's coterminal with a given angle, we can add or subtract multiples of 360° (since a full circle is 360°). So, to find an angle coterminal with 480°, we can subtract 360° from 480°, which gives us 120°. Therefore, 120° is an angle that is coterminal with 480°. It's worth noting that there can be infinite coterminal angles, both positive and negative, for any given angle. For example, if we subtract 360° again from 120°, we get -240°, which is also coterminal with 480°.
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Which is relatively better: a score of 83 on a psychology test or a score of 55 on an economics test? scores on the psychology test have a mean of 92 and a standard deviation of 13. scores on the economics test have a mean of 56 and a standard deviation of 3?
Answers
1/3 of a standard deviation on the psych test is about 4 units. Your score is well below 4 units below the mean of the psych test.
Both scores are below average.
Your econ score is relatively better.
Seventy percent of the bicycles sold by a certain store are mountain bikes. among 100 randomly selected bike purchases, find the probabilities below. (round your answers to four decimal places.) (a) what is the approximate probability that at most 75 are mountain bikes?
Answers
To find the probability that at most 75 bicycles sold are mountain bikes, use the binomial distribution formula with a success probability of 0.70, 100 trials, and a binomial calculator to find the cumulative probability of 0 to 75 mountain bike sales. Round the answer to four decimal places.
Explanation:To find the approximate probability that at most 75 bicycles sold are mountain bikes, we can use the binomial distribution formula. In this case, the success is getting a mountain bike sale and the probability of success is 0.70. The number of trials is 100, which represents the randomly selected bike purchases. We can use a binomial calculator or software to find the probability.
The probability can be calculated as follows:
Use a binomial calculator or software to find the cumulative probability of 0 to 75 mountain bike sales with 100 trials and a success probability of 0.70. The resulting probability will be the approximate probability that at most 75 bikes sold are mountain bikes. Round the answer to four decimal places. Learn more about Probability here:
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The scenario represents a binomial probability problem. To solve, we'd calculate binomial probabilities for k from 0 to 75 (for 'at most 75' mountain bikes), where k is the count of successes, and then sum up these probabilities. This calculation involves advance statistic methods
Explanation:The subject of the question falls under probability in mathematics. Specifically, this question requires the use of the binomial distribution to find the probability of a certain event occurring. A binomial distribution is relevant because we know the probability of success (a bike sold being a mountain bike) is 70%, or 0.70, and we are looking at a fixed number of events (100 bike purchases).
In order to solve the problem, we calculate the binomial probability using the formula: [tex]P(X=k) = C(n, k)*(p^k)*((1-p)^{(n-k)})[/tex] where n = number of trials (100 in this case), k = number of successes we're looking at (75 in this case), p = probability of success on any given trial (0.70 in this case), and C(n, k) = combination of n items taken k at a time.
However, the question asks for the probability that 'at most 75 are mountain bikes'. So we also have to compute and sum up the probabilities from 0 to 75 to get the answer.
This can be quite laborious to calculate by hand, so we often use statistical software or a calculator capable of such operations to find the exact value. Hence, it is often a procedure performed in a College level Statistics class.
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henry can write 5 1/4 of his novel in 3 hours. how many pages can he write in eight hours
Answers
5 1/4(or 5.25)/3=1 3/4 (or 1.75)
1 3/4 x 8 =14
Hope This Helps!
~Cupcake
PLZ HELP ASAP INSCRIBED QUADRILATERALS
Answers
85 + K = 180
K = 95 degrees
Similarly, angles D & C would also add up to 180, so D + 73 = 180, and D = 107.