Answer:
Step-by-step explanation:
The equation of the new graph is y =|x - 5| + 4|
The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4
This equation can be understood by considering the function of absolute value:
y=|x| is a function that returns the absolute value of x.
and
y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.
In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.
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6
The sun is at an angle of
elevation of 58º. A tree casts a
shadow 20 meters long on the
ground. How tall is the tree?
a) 71 m
b) 11 m
c) 17 m
d) 80 m
e) 32 m
Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 10 buses with 258 students. High School B rented and filled 8 vans and 5 buses with 264 students. Each van and each bus carried the same number of students.How many students can a van carry? How many students can a bus carry?
Answer:
The van holds 18 students
The bus holds 24 students
Step-by-step explanation:
v = van b = bus
High School A
1v+10b = 258
High School B
8v+5b = 264
Multiply the second equation by -2
-16v - 10b = -528
Add this to the first equation
-16v - 10b = -528
1v+10b = 258
---------------------------
-15v = -270
Divide each side by -15
-15v/-15 = -270/-15
v =18
The van holds 18 students
Now we need to find the number the bus holds
1v+10b = 258
18 + 10b = 258
Subtract 18 from each side
18-18+10b = 258-18
10b=240
Divide each side by 10
10b/10 =240/10
b = 24
The bus holds 24
Answer:
Van: 18
Bus: 24
Step-by-step explanation:
V + 10B = 258
V = 258 - 10B
8V + 5B = 264
8(258 - 10B) + 5B = 264
2064 - 80B + 5B = 264
75B = 1800
B = 24
V = 258 - 10(24) = 18
Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat
Answer:
Each parrot Bird ate 1/8 of a bag
Step-by-step explanation:
Here, we are interested in calculating the portion of the bag eaten by each of the pet birds
Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag
Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag
Do 1,2 for 5-8 points.
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
Solve for ttt. 2(t+1) = 10
Answer:
I hope this helps you. Have a great rest of your day!
The required, solution to the equation 2(t+1) = 10 is t = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Expanding the left side of the equation, we get,
2t + 2 = 10
Subtracting 2 from both sides, we get,
2t = 8
Dividing both sides by 2, we get,
t = 4
Therefore, the solution to the equation 2(t+1) = 10 is t = 4.
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Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
I NEED HELP FAST, 20 POINTS
Which of the following fractions is not equivalent to 2?
1 4/4
10/5
3/6
2/1
Answer:
The 1st one 1 4/4 and the 3rd one 3/6
Step-by-step explanation:
10/5=2
2/1=2
someone please answer this for me! it’s timed
Answer:
151 degrees
Step-by-step explanation:180 - 29=151
Find the area of the shape shown below.
3.5,2,2,2,2,5
Answer:
26.75
Step-by-step explanation:
It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75
Answer:
26.75
Step-by-step explanation:
got it off khan
Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
HELP ASAP PLS HELP PLSSSS
Answer 12.69
Step-by-step explanation:
Answer:
12.65 units
Step-by-step explanation:
the company shows that its median listing is $150,000. if the range of the listings is $50,000, is it possible for the company to have a house listed for $200,000?
Answer:
no
Step-by-step explanation:
Is the ordered pair (4, -2) a solution to this system? Explain why or why not.
Answer: No, it would not be a solution.
Step-by-step explanation:
The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.
If 0.75A = 36, what would you do to solve
for A?
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
a line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line.
Answer:
work is shown and pictured
The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Answer:
Is there anything else to the question like a equation?
Step-by-step explanation:
It’s multiple choice
Answer: [tex]r^\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sqrt[44]{\frac{r^5}{r^-^6} }[/tex]
When dividing by the same base (r) subtract exponents.
[tex]\sqrt[44]{r^5^-^(^-^6^)}[/tex]
[tex]\sqrt[44]{r^5^+^6}[/tex]
[tex]\sqrt[44]{r^1^1}[/tex]
A property of the roots say:
[tex]\sqrt[n]{x^m}=x^\frac{m}{n}[/tex]
Therefore;
[tex]\sqrt[44]{r^1^1}=r^\frac{11}{44}=r^\frac{1}{4}[/tex]
solve 2x + 26=2 [5-3x]
Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
a car salesman has 7 used cars for sale. They have a mean price of $8000. What is the total price of all 7 cars?
Answer:
$155282862040271282939285047182828282828
Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.
Answer:
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Step-by-step explanation:
(p+4q)^3 -->
(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
what is the factor of -12n - 20 ( 50pts!!!!!)
Answer:
-4(3n + 5)
Step-by-step explanation:
We want to factor the expression:
-12n - 20
Look at the two terms, which are -12n and -20. Obviously, they don't share an "n", but they do share another number.
Notice that -12 can be written as the product of -4 and 3: -12 = -4 * 3. Similarly, -20 can be written as the product of -4 and 5: -20 = -4 * 5. Since 3 and 5 are prime numbers, we know that -4 is the biggest factor that -12 and -20 share. So, let's factor that out of the expression:
-12n - 20 = -4 * [(-12n/-4) + (-20/-4)] = -4 * (3n + 5)
So, the factored form of this expression is -4(3n + 5).
Steps to factor:
-12n - 20
~Rewrite -12n
-4 * 3n
~Rewrite -20
-4 * 5
~Put together
-4 * 3n + -4 * 5
~Factor out -4
-4(3n + 5)
Best of Luck!
The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=
Answer:
[tex]x=\dfrac{325}{c-7}[/tex]
Step-by-step explanation:
The average cost c (in dollars) to manufacture x t-shirts is given by the function:
[tex]c=\dfrac{7x+325}{x}[/tex]
We are required to express the number of t-shirts in terms of the average cost.
First, we cross multiply
cx=7x+325
Bring the terms containing x to the left hand side
cx-7x=325
Factorize out x
x(c-7)=325
Divide both sides by c-7
[tex]x=\dfrac{325}{c-7}[/tex]
Therefore, the number of t-shirts, x in terms of the average cost, c is:
[tex]x=\dfrac{325}{c-7}[/tex]
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
Helpp plsss!!!! I've to submit ASAP
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?
Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)
Answer:
1880
Step-by-step explanation:
Factor the trinomial
The factors of m^2+12m+35 are ____ and ____
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer
Answer:
90
Step-by-step explanation:
When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mmplease help will mark brainly
Answer:
1 hour and 5 minutes
Step-by-step explanation:
Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes
Find the area? Please help
Answer:
6.285
Step-by-step explanation:
π·22≈12.56637 divided by 2 (half) is 6.285
Answer:
12.56 units squared
Step-by-step explanation:
find the area of the whole circle:
formula for this is: pi multiplied by the radius which is squared.
The math for this is Below
3.14 x 2 squared
2 squared is 4
so 4 times 3.14 which is 12.56
