Answer: g(x)= |x-1| + 3
Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three
The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
The vertex is given as:
[tex](h,k) = (1,3)[/tex]
An absolute function is represented as:
[tex]y = a|x - h| + k[/tex]
Substitute 1 for h, and 3 for k
[tex]y = a|x - 1| + 3[/tex]
Assume that the value of (a) is 1
[tex]y = 1 \times |x - 1| + 3[/tex]
So, we have:
[tex]y =|x - 1| + 3[/tex]
Represent as a function
[tex]g(x) =|x - 1| + 3[/tex]
Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
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how do you do this i need help
Answer:
2nd one
Step-by-step explanation:
y=16x+8
Jaxon and drake share a bag of tootsie rolls. Jaxton eats 3/5 of the bag and drake eats 5/12 of the bag. Use benchmark fractions to estimate the fraction of the bag of tootsie rolls jackson and drake ate
Answer:
[tex]\frac{49}{60}[/tex]
We can conclude that, both of them have eaten almost the complete bag of Tootsie rolls
Step-by-step explanation:
Given that:
Fraction of Tootsie rolls eaten by Jaxton = [tex]\frac{3}{5}[/tex]
Fraction of Tootsie rolls eaten by Drake = [tex]\frac{5}{12}[/tex]
Here, we have to use the Benchmark fractions to estimate what fraction of tootsie roll bags was eaten by Jaxton and Drake.
First of all, let us add the given two fractions to find the total amount of Tootsie rolls eaten by both of them together.
Total Tootsie rolls eaten by both of them =
[tex]\dfrac{3}{5} + \dfrac{5}{12}\\\\\text{Taking LCM of denominator i.e. 5 and 12 = 60}\\\Rightarrow \dfrac{3\times 12 + 5\times 5}{60}\\\Rightarrow \dfrac{49}{60}[/tex]
The most commonly used benchmark fractions are 0, [tex]\frac{1}{2}[/tex] and 1.
Here, with the fraction we can write our benchmark fractions as:
[tex]\dfrac{0}{60}, \dfrac{30}{60}, \dfrac{60}{60}[/tex]
We can see that, [tex]\frac{49}{60}[/tex] is near to [tex]\frac{60}{60}[/tex].
Therefore, we can conclude that, both of them have eaten almost the complete bag of Tootsie rolls.
13. Yao has 8 hours to finish reading a 300-page book. He has already read 120 pages. Yao read 50
pages the first hour. He does not read the next two hours. What is the least number of pages Yao
must read per hour to finish reading the book?
A 25 pages per hour
B 26 pages per hour
C 27 pages per hour
D 36 pages per hour
The least number of pages Yao must read per hour to finish reading the book is 26 pages per hour. which is the correct answer would be an option (B)
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Calculate the total number of hours Yao has left to finish reading the book by subtracting the number of hours he has already spent reading from the total number of hours he has available:
8 hours - 1 hour = 7 hours.
The number of pages Yao has left to read : 300 pages - 120 pages = 180 pages.
The number of pages Yao must read: 180 pages / 7 hours = 25.7 pages/hour.
Round up the number of pages Yao must read per hour to the nearest whole number. The least number of pages Yao must read per hour is 26 pages/hour.
Therefore, the minimum number of pages Yao must read each hour to finish the book is 26 pages per hour.
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The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?
A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.There are
____ × 10____
times more bacteria in the petri dish this week compared to last week.
Answer:
Step-by-step explanation:
2.75 x 10⁵ ) / (2.25 x 10² )= (2.75 / 2.25) x 10⁵⁻²= 1.2 x 10³ times .(That's 1,200 times as many.)
The Warriors made seven out of 15 shots. If the ratio of made to total shots remains constant, how many shots will the Warriors miss out of 60 total shots?
Answer:
28
Step-by-step explanation:
The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.
If M is the centroid of triangle ABC, AM = 44, CE =54, and DM
= 23, find each missing measure.
FM=?
Answer:
FM = 22
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore, AM : FM = 2 : 1
Let AM = 2x and FM = x
Since, AM = 44
Therefore, 2x = 44
x = 44/2
x = 22
FM = 22
(3/8 + 3/4) - (1/3 + 1/6) thank you!
Select whether each function is linear or nonlinear
Y=9(2x)
Y=(5x+3)^2
Y=8x^2
Y=5x-3
Y=3x^2+2x-1
If I put ^ before a number it means it's an exponent if anyone doesn't know
Answer:
liner Y=9(2x) Y=5x-3
Step-by-step explanation:
Y=9(2x) and y = 5x - 3 are linear equations while others are non-linear.
The standard linear equation is in the form y = mx + b
Note that the highest degree of linear equation is 1 while that of non-linear is 2 and above.From the given option, we can see that the equation with the highest degree of 1 are Y=9(2x) and y = 5x - 3 (These ar linear equations)Other equations are non-linear in nature since they have a degree of 2 or more.
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Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....
Answer:
26, 18, -1, -25
Step-by-step explanation:
for easier understanding just draw a number line with integers for easier clarification.
... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...
26,18,-1,-25 is the answer from greater to least
What is this answer ?
Answer:
D
Step-by-step explanation:
Boom
Answer:
$2.50
Step-by-step explanation:
6…=15
1…=15/6
2.50
Please help me out with these! I’m sorry for the bad quality, but I hope you can still make it out. Any explanation is appreciated! Tysm
Answer:
Step-by-step explanation:
slope is the diference in y over the difrevce in x
m= (y2-y1) / (x2-x1) = (5-2) / (0-1) = 3 / -1 = - (3/1)
Tip:
keep in mind that you can start with any point you want as long as you do the same order for x and y.
For example both of those are correct
m = (5-2) / (0-1) = 3 / -1 = - (3/1)
m = ( 2-5)/ (1-0) = -3/1 = -(3/1)
If the area of a semicircle is 77cm² then find its perimeter.
[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
draw moels for two gardens, one that is 6 ftx 3 ft and one that is 6 ft x 4ft.
Both the garden are in the shape of rectangles.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
The dimension of the two gardens are given as:
6 ft ×3 ft and 6 ft × 4 ft
From the dimension, we can conclude that the gardens are in the shape of a rectangle.
For the first garden 6 ft ×3 ft,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 3 ft.
Similarly,
For the second garden 6 ft × 4 f,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 4 ft.
The models for the two gardens:
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PLEASE HELP- 56 DIVIDED BY 1.6
Answer:
35
Step-by-step explanation:
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
multiply
6x 10 by 12,2
Answer:
Huh??
Step-by-step explanation:
6x10=60/12=5×2=10??????
Please help will mark the brainliest
Answer:
y=-x-2 this is the answer
A restaurant raises its price for the salad bar 20%. If the original price was $7. What is the markup? What is the new price?
Answer:
Markup: $1.40
New price: $8.40
Step-by-step explanation:
20% of $7.00 is $1.40
$1.40 + $7.00 is $8.40
(5j-3)/2=k for j
Solve for j.
Answer:
j = [tex]\frac{2k+3}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5j-3}{2}[/tex] = k ( multiply both sides by 2 to clear the fraction )
5j - 3 = 2k ( add 3 to both sides )
5j = 2k + 3 ( divide both sides by 5 )
j = [tex]\frac{2k+3}{5}[/tex]
Solve y3 = 8.
A. y = 2.8
B. y=4
C. y = 2
D. y =8/3
Answer:
D
Step-by-step explanation:
8 divided by 3 = 8/3
What’s the answer to
-3x/5-5=-8
Answer:
x=1/5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Help please! I don't understand how to do this
9514 1404 393
Answer:
150° CCW
Step-by-step explanation:
Apparently, we are to assume that segment A'B' is a reflection across line m, and that segment A"B" is another reflection across line p. Then the total angle of rotation is double the angle between lines m and p. The smaller angle is the supplement of 105°, so is 75°. Double that is 150°
The angle of rotation to get from A to A" is 150°.
__
The center of rotation is the point of intersection of p and m.
how many solutions does
7x=4x-7 have?
A) one solution
B) two solutions
C) No solutions
D) infinite solutions
Answer:
A , one solution.........
Grapefruits are priced at 3.99 per pound.Which equation represents y, the total cost for x pounds of grapefruit
Answer:
Y divided by 3.99 = X
Step-by-step explanation:
The graph of the function B is shown below. Find B(1) PLEASE HELPPPP
Answer:
From the graph, it is clear that
at x = 1, the value of y=2
Therefore,
B(1) = 2, hence option 'C' is true.
Step-by-step explanation:
Given that the graph is associated with the function B.
From the graph, it is clear that
at x = 1, the value of y=2
In other words,
B(1) = 2Therefore,
B(1) = 2, hence option 'C' is true.
a 12-ft ladder leans against a building so that the angle between the ground and the ladder is 74°. how high does the ladder reach on the building? (round your answer to the nearest foot.)
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known values:
[tex]sin(74^o)=\frac{x}{12}[/tex]
Rearrange to isolate the variable:
[tex]x=12sin(74^o)[/tex]
Simplify!
[tex]x=11.535140... ft[/tex]
Round to the nearest foot:
[tex]x=12ft[/tex]
translation and reflection
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
Answer:
The answer is 6.88.
Step-by-step explanation:
The mean absolute deviation for the given data will be equal to 6.9.
What is the mean absolute deviation?The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.
It is a statistical summary of statistical variability or dispersion.
The formula used to calculate MAD is given below:-
MAD = 1/n ∑ |xi-m|
The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.
Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5
Mean = 192 / 5 = 38.4
The MAD will be calculated as below:-
MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]
MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5
MAD = 6.9
Therefore, the mean absolute deviation for the given data will be equal to 6.9.
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Answer this question please and thank you
Answer:
I think it's 62 :D
Step-by-step explanation:
52 - (-10)= 62