What is the graph of y = x - 3 (shown below) translated up 2 units?
Answers
Answer:
The graph is that one which corresponds to the equation y = x-1. The graph is shown in the image below.
Step-by-step explanation:
Translate a linear curve means to move the whole curve up or down, where the final line will be in parallel to the original curve.
For translate the graph up to 2 unit, it must to be summed 2 unit in the right member of the original equation:
[tex] y = (x-3) + 2 [/tex]
[tex] y = x-3 + 2 [/tex]
[tex] y = x-1 [/tex]
Related Questions
laura budgets $54 each month for annual expenses. she nets $1820 semimonthly. what percent of her net monthly income does she budget for annual expenses?
1%
3%
6%
8%
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If she is getting $1820 semimonthly. That means that she is getting $3640 per month. 1820 x 2 = 3640
Now, we just need to find the percent of that which goes for the annual expenses.
Divide 54 by 3640 and multiply by it 100 to get a percent of 1.4% which can be rounded to 1%.
Explanation:
Since the income known in the problem is for semi-monthly (meaning every half of the month), we should compute for the monthly income because we what know is the amount of money Laura allots on a monthly basis for her annual expenses.
Since semi-monthly income is received twice per month, the monthly income of Laura is two times her semi-monthly income (= $1820). That is,
monthly income
= 2 × semi-monthly income
= 2 × $1820
monthly income = $3,640
Because $54 is budgeted each month for annual expenses, the percentage of the monthly income that is allocated for annual expenses is computed as
percentage of the monthly income
= ((monthly income allocated for annual expenses) ÷ (monthly income)) × 100%
= ($54 ÷ $3,640) × 100%
≈ 0.0148351648 × 100%
percentage of the monthly income ≈ 1%
A student's home is 3.25 miles from the school. A soda shop is located 900 feet farther down the road from the school. What is the total distance from the student's home to the soda shop?
Answers
Answer:
18060
Step-by-step explanation:
.
In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:
A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,
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Describe the following sequence as arithmetic, geometric or neither.
2, 4, 6, 12, 14. . . .
I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,
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Each square on the grid represents 1 yd². What is the approximate area of this pond? A. about 10 yd² B. about 15 yd² C. about 20 yd² D. about 25 yd².
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Mae bought 15 football cards and 18 baseball cards. She seperated them into 3 equal groups.How many sports cards are in each group?
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So if they are divided into 3 groups the number in each group = 33/3 = 11 cards Answer.
simplify the square root of 27x^12/300x^8
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We have:
root (27x ^ 12 / 300x ^ 8)
Rewriting:
root ((27/300) * (x ^ 12 / x ^ 8))
root ((9/100) * (x ^ (12-8)))
root ((9/100) * (x ^ (4)))
root ((9/100) * (x ^ (4)))
3 * x ^ 2 * root ((1/100)
(3 * x ^ 2) / 10
(3/10) * (x ^ 2)
Answer:
(3/10) * (x ^ 2)
Answer:
3/10 x^2
Step-by-step explanation:
Please Help!!!
(x-3)^2/64 + (y+5)^2/100 = 1
a. Identify the coordinates of the center of the ellipse.
b. Find the length of the major and minor axes.
c. Find the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.,
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[tex]\frac{(x - xc)^{2} }{ a^{2} } + \frac{(y - yc)^{2} }{ b^{2} } = 1[/tex]
Indeed, you have:
[tex]\frac{(x-3)^{2} }{64} + \frac{(y+5)^{2} }{100} = 1[/tex]
Therefore you can easily find:
a) the coordinates of the center:
in your case xc = 3 and yc = -5
hence C(3 , -5)
b) lenght of the major and minor axis:
in your case a² < b²:
a² = 64 ⇒ a = 8 (ATTENTION! This is the semi-minor axis)
b² = 100 ⇒ b = 10 (again, this is the semi-major axis)
Therefore,
minor axis 2a = 16 and major axis 2b = 20
c) coordinates of the foci:
Since you have a² < b², foci have the generic coordinates F₁₂ (xc , yc+/-c)
where c = √(b² - a²)
Let's compute c = √(100 - 64) = √36 = 6
yf₁ = -5 - 6 = -11
yf₂ = -5 + 6 = -1
Therefore:
F₁ (3, -11) and F₂(3, +1)
d) the graph is in the picture attached
1. Through music, literature, and painting, the romantic artists attempted to
(1 point)make people fall in love.
express their love for women.
stir the emotions.
get people to reject modern innovations.
2. What do the writers Walter Scott, Mary Shelley, Edgar Allen Poe, and William Wordsworth have in common?
(1 point)They were all men.
They were all French.
They were all English.
They were all romantic writers.
3. Romantic painters aimed to
(1 point)mirror the artist’s imagination.
re-create nature.
meet the highest standards of the École des Beaux-Arts.
f,
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Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?
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£5. This is because 50p is 10%. To get 100% you therefore need to times 50p by 10, thus getting £5
Hope this helps!
Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?
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Since there are less than 30 students that say they like that and that represents 3/4, you can start by trying to solve the equation.
3/4x < 30
Where x is the total number of students in the class.
Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12
Answers
5. x² + 11x + 10 = 0
Sum = 11
Product = 10
Factors = 1 and 10
( x + 1 )( x + 10 )
x = 1 , x = -10
6. x² + 4x - 32 = 0
Sum = 4
Product = -32
Factors = - 4 and 8
( x - 4 )( x + 8 )
x = 4 , x = -8
7. 2x² - 21x - 36 = 0
( 2x + 3 )( x - 12 )
x = [tex]- \frac{3}{2} [/tex] , x = 12
8. 3x² + x -14
( x - 2 )( 3x + 7 )
x = 2 , [tex]- \frac{7}{3} [/tex]
9. x² - 4x = 21
x² - 4x - 21 = 0
Sum = - 4
Product = - 21
Factors = - 7 and 3
( x + 3 )( x - 7 )
x = - 3 , x = 7
10. 2x² - 11x = -12
2x² - 11x + 12 = 0
( x - 4 )( 2x - 3)
x = 4 , x = [tex] \frac{3}{2} [/tex]
A delivery person is scheduled to pick up 9 crates of patio pavers. Each crate weighs 14 ton. How much weight will the delivery person need to plan for?
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which equals
126
Hope I helped :)
9*14=126 tons
jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of
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Jenny is apparently thinking of 4/12.
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
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The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
Find the sum of the measures of the interior angles of a convex 14-gon.
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sum of all interior angles = (n-2)x180
sum of all interior angles = (14-2)x180
sum of all interior angles = 12 x180
sum of all interior angles = 2160°
Final answer:
The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.
Explanation:
The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:
sum of all interior angles = (n-2)x180, n being the number of sides.
Sum = (14 - 2) × 180°
Sum = 12 × 180°
Sum = 2160°
This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.
Find the area of this trapezoid. All length measures are in centimeters.
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The area of a trapezoid is given by the formula
Area=h*(b1+b2)/2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Remember that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases
therefore
[area of trapezoid]=(11+5)*4/2--------> 64/2------> 32 cm²
the answer is 32 cm²
Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle
Answers
Answer:
its B
Step-by-step explanation:
Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity? Item Amount Soup $3.75 Shrimp scampi $15.00 Iced tea $2.60 Dessert $4.25.
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Answer:
The total cost of her dinner including tip would be $30.72
Step-by-step explanation:
Marge orders the following items on her meal.
Soup = $3.75
Shrimp scampi = $15.00
Iced tea = $2.60
Dessert = $4.25
The total cost of her dinner including gratuity is
3.75 + 15.00 + 2.60 + 4.25 = $25.60
She would like to leave a 20% tip based on her bill
Therefore, 20% of $25.60
= 0.20 × 25.60 = $5.12
Now add this tip amount to the bill amount.
$25.60 + $5.12 = $30.72
The total cost of her dinner including tip would be $30.72
Mark went to the store and spent a total of $18.90. What is the cost of 5 items is if one item cost $2.95?
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item #1 was 2.95 the rest of the items were 3.99
Hi could u plz help me anyone please
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To find this solution, you have to write an inequality. We want the new plan to be less than the old plan of $175.
So our inequality would be:
94 + 4.5x < 175
Solving it gives:
4.5x < 81
x < 18
So the number of devices must be less than 18. Draw an open circle at 18 with a ray going to the left to show those numbers.
Good luck,
MrEQ
Which rotation about its center will carry a regular decagon onto itself? 1) 54° 2) 162° 3) 198° 4) 252°?
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Help me please y’all
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To solve for the inverse of a function, you have to interchange the variables x and y and solve for the value of y in terms of x:
F(x) = 5x/3 + 5
y = 5x/3 + 5
Interchange x and y:
x = 5y/3 + 5
Solve for the value of y in terms of x:
x – 5 = 5y/3
5y = 3 (x – 5)
y = 3 (x -5) / 5
f^-1 (x) = 3 (x -5) / 5
From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. A. The term shows 6 over 13. B. one-half C. start fraction 9 over 11 end fraction D. three-eighths
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It would be A
i just learned this 4 weeks ago in math class.
The required, experimental probability of randomly selecting a marble that is not blue is 9/11. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
The total number of marbles in the barrel is:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
The number of marbles that are not blue is:
5 yellow + 6 red + 2 green + 5 purple = 18 marbles
Therefore, the experimental probability of randomly selecting a marble that is not blue is:
18 marbles / 22 marbles = 9/11
Thus, the answer is option C: 9 / 11.
Learn more about probability here:
brainly.com/question/14290572
#SPJ3
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4) Enter your answer in the box. units²
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notice the composite is just,
a 5x2 rectangle.
a triangle(yellow) with a base of 2 and a height of 2.
a triangle(red) with a base of 6 and a height of 4.
get the area of each, sum them up, and that's the area of the composite.
[tex]\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}[/tex]
Expressed powers are those that aref(x) = 5x + 3; g(x) = 6x - 5 Find f/g. (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ Five over six. } (f/g)(x) = Quantity five x plus three divided by six x minus five. domain {x|x ≠ Three over five } (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. } (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ - Three over five. }
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Explanation:
1) (f/g)(x) = f(x) / g(x)
2)
f(x) 5x + 3
-------- = ------------
g(x) 6x - 5
3) Since the division by 0 is not defined, the domain is restricted to 6x - 5 ≠ 0.
Therefore you must solve 6x - 5 = 0 to exclude the value of x for which the denominator becomes 0:
6 x - 5 = 0 => 6x = 5 => x = 5 / 6.
So, the domain is all x | x ≠ 5/6.
Answer:
(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }
Step-by-step explanation:
Given functions,
[tex]f(x)=5x+3[/tex]
[tex]g(x) =6x-5[/tex]
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
[tex]=\frac{5x+3}{6x-5}[/tex] ( By substitution )
Let [tex]h(x)=\frac{5x+3}{6x-5}[/tex]
Which is the rational function,
Since, a rational function is defined for all real number except those for which denominator = 0,
[tex]6x-5=0[/tex]
[tex]6x=5[/tex]
[tex]x=\frac{5}{6}[/tex]
Thus, h(x) is defined on all real numbers except 5/6,
Hence, domain of [tex]\frac{f}{g}(x)[/tex] is {x| x ≠ [tex]\frac{5}{6}[/tex] }
Which parent function has a constant slope?
A. linear
B. square root
C. quadratic
D. exponential
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We note that for linear functions, this value is always the same.
The standard equation of the line is:
y = mx + b
Where,
m = slope of the line.
This value is always the same regardless of the domain of the function.
Answer:
A parent function that has a constant slope is:
A. linear
Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.
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Constant rate of change means that when the value of x increases, the y remains constant. So there is no change in the y value. In this case, the x value is the "week" and the y value is the "amount of ants".
Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211
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Answer:
A on Edg :)
Step-by-step explanation:
Using the normal distribution, it is found that P(z < −2.1) = 0.0179.
Normal Probability DistributionThe z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.
More can be learned about the normal distribution at https://brainly.com/question/24663213
the sum of 4 times a number and -5 added to 9 times number
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Use PEMDAS