Answers
[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (5, 0)
Take two points : (5, 0), (9, -7)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]
Join the variables together: [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]
Answer:
[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]
Step-by-step explanation:
The function in the coordinate Plane is an absolute value function . Consider the parent function
[tex]f(x) = |x| [/tex]
Recall the properties of transformation
f(x+a), If a<0 ⇒ It moves to righta.f(x),If a<0 ⇒ It flips upsidedownf(x)+a,If a>0 ⇒ It moves up & a<0 It moves downFrom the inspection of the graph,It has moved to right by 5 units, Thus
[tex]f(x - 5) = |x - 5| [/tex]
Apparently, It has neither shifted up or down, hence
[tex]f(x - 5) +0= |x - 5|+0 [/tex]
Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant
[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]
take (9,7) to figure out a.
set x to 9 and the LHS expression to 7[tex] -a | 9- 5| =7[/tex]
Solving the equation yields:
[tex] \boxed{a = - \frac{7}{4} }[/tex]
hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]
Related Questions
What does this add to 3/11 x 3 1/4
Answers
Answer:
0.
Step-by-step explanation:
1/3x + 5 x= -6 need expression 1/3x = 5 is equal to __ when x = -6
Answers
Answer:
3
Step-by-step explanation:
To evaluate an expression with a particular value of the variable, put that value where the variable is and do the arithmetic.
__
1/3(-6) +5 = -2 +5 = 3
For x = -6, the value of the expression is 3.
Workers Inc. just bought 12 boxes of pens to put in their storage room for employees to use as needed. Each box contains 35
pens. If each of the 25 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 417
B. 395
C. 345
D.195
Answers
Answer:
C. 345Step-by-step explanation:
first you multiply 25 and 3. and get 75next multiply 12 and 35. and get 420
finally subtract the two and get 345
How to multiply problem in photo?
Answers
_____
yStep-by-step explanation:
The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.
Answers
Answer:
Shade 6 bars.
Step-by-step explanation:
You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:
[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]
You will shade 6 of the 9 bars given.
~
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
Answers
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
Learn more about equation;
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The question is attached.
Answers
Answer:
The correct answer is 1/4 gallon.
Step-by-step explanation:
If we add all the fractions from the line plot, we will get 10/8 gallon.
10/8 divided by 5 is .25.
.25 converted to a fraction would be 1/4.
Hope this helps:) Goodluck!
Need help on this one please
Answers
Answer: y = -2x - 4
Step-by-step explanation:
This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.
In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].
For example, I’ll use (-3, 2) and (-2, 0):
Change in y: 2 - 0 = 2
Change in x: -3 - (-2) = -1
Change in y ÷ Change in x = 2 ÷ (-1) = -2
So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.
Now, we can put these together in an equation.
y = mx + b, where m = -2 and b = -4
y = -2x -4
Could you help me with this question, please?
Answers
Answer:
B) 1/4 gallon
Step-by-step explanation:
There is 5/8 in a jug
[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]
There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.
So, now all the jugs will have (2/8) = 1/4
A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answers
Answer:
[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
Ibehdhdsxydithdkydlgsits
Answers
160
Step-by-step explanation:
Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!
The sum of Two numbers is 9. The
sum of the squares of the numbers is
41. Find the numbers.
Answers
Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
Please help me do this question genius minds
Answers
[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]
[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]
[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]
21 slices from 3 cakes = 84 slices from cakes equivalent rates
Answers
Answer:
12 cakes.
Step-by-step explanation:
There are 21/3 = 7 slices from each cake.
84 / 7 = 12.
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Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M
any help?
A : Point M
B : Point N
C : Point L
D : Point K
Answers
Move right on x-axis 3.75
Move down - 2.25
help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30
Answers
Answer:
x-2
x+9
Step-by-step explanation:
Answer:
[tex]\frac{x-2}{x+9}[/tex]
Step-by-step explanation:
Factorizing Fraction 1
[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]Factorizing Fraction 2
[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]Now, multiply the fractions :
[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?
Answers
Answer:
13?
Step-by-step explanation:
idrk best guess. 26 divided by 2= 13. 11-13 + 2
Hello everyone!!
This is easy;
[tex] \frac{5x}{2} + \frac{9}{5} = 25[/tex]
Answers
[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]
hope it helps
Please refer to the attachment
Angie read 2 books in 5 days, and each book contained 340 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 75
В.340
C.136
D. 680
Answers
then divide to get the pages per day
680/5 = 136
Jeremiah created a game where he flips a fair coin 3 times. Jeremiah wins the game if he flips heads at least 2 times. What are all the possible outcomes to win, based on the first two flips? What is the probability of winning, based on the first two flips? Move words and fractions to the table to answer the questions.
Answers
The probability of getting head at least two times will be 11%
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability will be:-
Sample outcomes are { H,H,H,T,T,T}
Favourable outcomes are { H }
So the probability of getting at least two times head will be:-
P = ( 1 / 3 ) x ( 1 / 3 ) = 0.11 = 11%
Therefore the probability of getting head at least two times will be 11%
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Answer:
The other persons explaition was difficult
Step-by-step explanation:
Please help me with this really need the answer please
Answers
Step-by-Step Explanation:
Length (l) = 2.1 cm
Width (w) = 1.34 cm
Height (h) = 4 cm
Surface Area = 2(lw + wh + lh)
Therefore,
=> 2(lw + wh + lh)
= 2(2.1 * 1.34 + 1.34 * 4 + 2.1 * 4)
= 2(2.814 + 5.36 + 8.4)
= 2(16.574)
= 2 * 16.574
=> 33.148
Surface Area = 33.148 cm^2
. Carl bought one book for $3.95 and a second book for $4.95. What is his total cost? $9.90 $9.00 $8.90 $7.90
Answers
The Cost of Carl's first item is 3.95. The Cost of his second item is 4.95. To find the total amount we need to add these two numbers together.
3 plus 4 is 7
95 cents plus 95 cents is 1.90
7+1.90 is 8.90
The total cost is $8.90
Hope this helps!
Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answers
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]
[tex]\textsf{Given first term}: \quad a_1=5[/tex]
[tex]\implies a_1=5[/tex]
[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]
[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]
[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]
[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= 44×4 =176_ Calories
36 Grams of Fat= 36×9 = 324 _ Calories
37 Grams of Protein= 37×4 =_148__ Calories
4. What is the percentage of total calories that come from fat in question 3?
Fat Calories:__________
% of Total Calories _________
help with number 4 please and explain it goes with the top answer
Answers
Answer:
Fat Calories: 342
50% of Total Calories
Step-by-step explanation:
Total calories:
Carbohydrates:
176
Fat:
324
Protein:
148
Total:
176+324+148=648
648/342 = 2
Meaning that half of the calories come from fat.
What is the square root of A=121 ft2
Answers
The result of the square root of the equation A = 121 ft² is √A = 11 ft
What are square roots?Square roots are numbers multiplied by itself to give another number
How to determine the square root?The equation is given as:
A = 121 ft²
Take the square root of both sides
√A = √121 ft²
Evaluate the square root
√A = 11 ft
Hence, the square root of the equation A = 121 ft² is √A = 11 ft
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A submarine begins 300 feet below sea level. It makes four moves of 30 feet each
toward the surface. How many more feet does the submarine need to move to reach
the surface?
Answers
Answer:
180 feet
Step-by-step explanation:
Starting number is 300. Four moves of 30 feet is 120 feet.
30x4 = 120
300-120 = 180
Answer:
180 feet.
Step-by-step explanation:
Remark
You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?
Equation
Distance to go = distance in feet below sea level - number of moves * feet / move.
Givens.
original distance below sea level = 300 feet.
number of moves = 4
distance towards the surface for each move = 30 feet.
Distance to go. = ?
Solution
Distance to go = 300 - 4*30
Distance to go = 300 - 120
Distance to go = 180 feet
Which number line shows the N equality n <= -1?
Answers
Number line equality to -5< =< -1
What is the next step?
Answers
Answer: Subtract
Step-by-step explanation: Subtract 237 from 224.
Answer:
74. 25
Step-by-step explanation:
After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.
Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?
Answers
Answer:50,000 x 0.04 x 20=40,000
The total saving after 20 years 50,000+40,000=90,000$
Rewrite using the Distributive Property and GCF 13+36
Answers
Answer:
13(1+2)
Step-by-step explanation:
13(1)+13(2)=13+26
The GCF of 13, 26 is 13.
