Answer:
11
Step-by-step explanation:
f(12) = 2/3x+3
So, replace x with 12.
2/3(12) + 3
2/3 x 12 = 8
8 + 3 = 11
Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
In a school, there are 880 students in
total. If there is 20% more boys than
girls, find the number of boys and girls in the school
Answer:
400 girls.
480 boys.
Step-by-step explanation:
If the number of girls is x then the number of boys is 1.2x, so we have:
x + 1.2x = 880
2.2x = 880
x = 880/2.2
= 400.
Girls = 400, boys = 1.2*400 = 480.
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Write your answer in the space below.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
Write your answer in the space below.
3. Group 1 is a success. Explain why.
Write your answer in the space below.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups
Step-by-step explanation:
The number of inches in c feet is.
Answer:
this didn't make sense
Step-by-step explanation:
can u explain it again sorry
Please help me !!
Will give brainliest
Answer:
D) SC+DB=SB
Step-by-step explanation:
D) SC+DB=SB is NOT true
A bakery makes an equal number of 2 types of pies. This year the bakery made a total of 1,954 pies. How many of each type of pie did the bakery make?
Answer:
977
Step-by-step explanation:
The number of pies of each type is 977.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The total number of pies is 1,954.
Number of types of pie = 2.
Each type of bakery can be found by taking the ratio of the number of pies and number of types of pie as follows,
1954/2
= 977
Hence, the number of each type of pie made by the bakery is 977.
To know more about ratio and proportion click on,
brainly.com/question/14279414
#SPJ2
On a map, the distance between New York City and Los Angeles is 31 inches. If the scale of the map is 1 inch: 90 miles , what is the actual distance between New York City and Los Angeles?
Help=pts 3and4!!!!!!!!
See picture. If it’s sideways, use the rotate button.
Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes
Answer:
A
Step-by-step explanation:
i got from USATestprep
Which of the following are not polynomials?
Answer:
A, B, C, and D
Step-by-step explanation:
HELP I NEED HELP ASAP
The side length of a square is represented by the expression 10x-6 centimeters. The side length of the square is doubled and then reduced by 4 centimeters to create the side length of a new square. Which expression represents the area of the new square?
Answer:
D) 400x²-640x+256
Step-by-step explanation:
2(10x-6)-4=20x-16
(20x-16)(20x-16)=
400x²-640x+256
20. Which expression is equal to 3(5x - 6) - 2(4x + 5)
7x-1
9x - 1
9x - 13
0 7x + -28
The area of a circle is 169π
What is the value of r?
Answer:
radius is 7.33...
Step-by-step explanation:
I think that is the answer but i am not very sure
PLEASE HELP ME I HAVE NO CLUE WHAT THE ANSWER IS PLEASE HELPPP!!!!!!!!
Answer:
I think C
Step-by-step explanation:
oh god sorry if you get this wrong im so sorry.
4. What does a purchasing power calculator compare?
A. The relative value of a past amount of dollars to a present amount.
B. Nickels and dimes.
C. How many stores you can buy goods from.
D. Checking and savings accounts.
Answer: A
Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount
What is the distance between points (7,2) and (-4,2) on the coordinate plane?
help? please? maybe?
What is the difference between infinite solutions and all real numbers?
Please explain or provide examples.
Willing to give brainliest!!
Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)
What is the value of 53?
Answer:
Value of 53 is 53
Step-by-step explanation:
Write a rule for the linear function shown in the graph.
y = –x + 4
y = x – 4
y = 3x + 1
y = - 4/1x -1
Answer:
Step-by-step explanation:
it doesn't show anything
What is the slope of a line that passes through (1,4) and (-2,6)
How is today's rhinoceros similar to the triceratops dinosaur of long ago? How is it different?
Answer:
Very, very distant relatives. Mammals and dinosaurs branched off from a common ancestor hundreds of millions of years ago. They may both have horns, but triceratops and rhinos are very different. Usually you wouldn't refer to them as “related.”
hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed (it’s not math but nobody’s answering)
Answer:
they are equal and act in opposite directions
Step-by-step explanation:
Help me please!
If you get it right, I’ll will brainliest u!!
Answer:
A :)
Step-by-step explanation:
Law of Syllogism: q=r r=q
If complementary angles = 90-degree angles, then 90-degree angles = complementary angles
Which pair of measurements is not equivalent?
9.6 cm, 96 mm
1256 m, 12.56 km
340 mm, 0.34 m
720 cm, 7.2 m
Answer:
1256m→12.56km
Step-by-step explanation:
1.256km
Please help me?
Find the slope of the points given, and show work
(2,4) and (-3,3)
Answer: 1/5
Step-by-step explanation:
Let's find the slope between your two points.
(2,4);(−3,3)
(x1,y1)=(2,4)
(x2,y2)=(−3,3)
Use the slope formula:
m=y2−y1/x2−x1
=3−4/−3−2
=−1/−5
=1/5
yooo help me with #6
Answer:
c
Step-by-step explanation:
A.49
B.-49
C.44 2/15
D.-44 2/15
A triangle has an angle that measures 25. The other two angles are in a ratio of 11:20. What are the measures of those two angles?
Answer:
The measures of the two angles are 55 and 100 degrees.
Step-by-step explanation:
The three interior angles of a triangle always add up to 180.
So if one angle is 25 degrees
180 - 25 = 155
The two other angles must add up to 155.
If the ratio is 11:20
That means there are 31 equal parts between the two angles
So 155/31 =5
Whic means
11 x 5 = 55
20 x 5 = 100
The two missing angles are 55 and 100 degrees.
Hope this explanation helped you!
-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False
Answer:
true
Step-by-step explanation:
If x = - 3 is a zero of the polynomial then f(- 3) = 0
f(x) = x³ + 7x² + 16x + 12
= (- 3)³ + 7(- 3)² + 16(- 3) + 12
= - 27 + 63 - 48 + 12
= 0
Since f(- 3) = 0 then x = - 3 is a zero of the polynomial