Answer:
[tex]y = 3(x +21)[/tex]
Step-by-step explanation:
Find the inverse this equation:
[tex]f(x) = (\frac{1}{3}x) - 7[/tex]
-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both
[tex]y = (\frac{1}{3}x) - 7[/tex]
-Switch both variable [tex]x[/tex] and [tex]y[/tex] :
[tex]y = (\frac{1}{3}x) - 7[/tex]
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Solve for [tex]y[/tex] :
[tex]x = (\frac{1}{3}y) - 7[/tex]
-Switch sides:
[tex]\frac{1}{3}y - 7 = x[/tex]
-Add both side of the equation by [tex]7[/tex] :
[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]
[tex]\frac{1}{3}y = x + 7[/tex]
-Multiply both sides by [tex]3[/tex] :
[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]
[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]
[tex]y = 3(x +21)[/tex]
Therefore, the answer is [tex]y = 3(x +21)[/tex].
A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards
Answer:
A. (-10,18); 412 yards
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
25 POINTS!!!!! A cruise ship travels at a bearing of N35°E at 18 mph for 3 hours and changes course to a bearing of S66°E. It then travels 15 mph for 2 hours. Find the distance the ship is from its original position. Round your answer to the nearest hundredth.
Answer:
66.59 is the answer
Answer:
66.95
Step-by-step explanation:
Answer is 66.95
13) the
are
points A (9,0) B (9,6) c(-9,6),
D(-9,0) a vertices of
A)square B) rectangle C) rhombus
D)trapezium.
A
۔
13) The points A (9,0), B (9,6), C(-9,6), D(-9,0) are the vertices of
A) square ✓✓✓
B) rectangle
C) rhombus
D) trapezium.
۔
For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?
Answer: 0.1587
Step-by-step explanation:
Given : The distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases.
i.e. [tex]\mu=1200,\ \ \sigma=200[/tex]
Let X denotes the number of purchases per hour.
Then ,
[tex]P(X>1400)=P(\dfrac{X-\mu}{\sigma}>\dfrac{1400-1200}{200})\\\\=P(Z>1)\ \ \[Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\\ =1-0.8413\ \ [\text{By p-value table}]\\\\= 0.1587[/tex]
So, the proportion of hours will the number of purchases at the online store exceed 1,400 =0.1587
HELP PLEASE Which relation is a function of x?
Answer:
ok i did one of these before it was the 2nd or 3rd one
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 6 feet per second. The elevator for the miners descends 16 feet per second. One day, the equipment elevator begins to descend. After 28 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 14 seconds? At that time, which elevator is deeper?
Answer:
equipment: -252 feet; miners: -224 feetequipment is deeperStep-by-step explanation:
The attached graph shows the depth of the elevators with respect to the time the miners' elevator started.
After 14 more seconds, the positions are ...
equipment: -6(42) = -252 feet relative to the surface
miners: -16(14) = -224 feet relative to the surface
The equipment elevator is deeper.
how many solutions -4(x+5)=-4x-20
Answer:
Infinite number of solutions. The equations and answers are the same no matter what number x you plug in.
Step-by-step explanation:
-4(x + 5) = -4x - 20
-4x - 20 = -4x - 20
0 = 0
[tex]\text{Hello there! :)}[/tex]
[tex]\large\boxed{\text{Infinite solutions.}}[/tex]
[tex]-4(x + 5) = -4x - 20\\\\\text{Simplify:}\\\\-4(x) -4(5) = -4x - 20\\\\-4x - 20 = -4x - 20\\\\\\\\\text{Add 4x to both sides:}\\\\-4x + 4x - 20 = -4x + 4x - 20\\\\-20 = -20\\\\\text{Both sides of the equal sign are the same, so:}\\\\\\\text{Infinite solutions.}[/tex]
What is the equation of the line
Anna's pulse rate is 30% higher than its normal rate of 70bpm. What is her pulse rate?
Answer:
91 bpm
Step-by-step explanation:
(70 bpm)(1 +30%) = 70·1.30 bpm = 91 bpm
Anna's pulse rate is 91 bpm.
HELP PLEASE TIMED This graph displays a linear function. Interpret the constant rate of change of the relationship. Rate of change = BLANK
Answer:
3
Step-by-step explanation:
The rate of change is just another way of saying slope.
The slope of a line is it’s rise over run.
We can see here that every time x increases by 1, y increases by 3. (This is where the triangle comes in handy).
Rise:3
Run:1
[tex]\frac{3}{1}=3[/tex]
So the rate of change is 3.
Hope this helped!
Answer:
is 3
Step-by-step explanation:
i got
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for 11.96. At this rate, what is the cost of :
1 bag
9 bags
What is 78,652 divided by 8 long division
Round to 3 digits 778520
What is the domain and range in this graph?
Step-by-step explanation:
The graph starts when the value of x is -1 and ends when it's value is 5 , So domain is [-1,5]
The highest value of the graph is 4 which is at x = -1 and the lowest value of the graph is 0 , which is at x = 5, So range is [0,4]
The domain is equal to all the input values (x-values)
The range is equal to all the output values (y-values)
In this problem,
The domain: [-1, 5]
The range: [0, 4]
Solve the equation.
,3
y =1,000
Answer:
I have stated the answer about hope it helps
Ann wants to create a design to decorate her Geometry binder. She reflects part of the design across line p and then reflects the image across line n. Describe a single transformation that moves the part of the design from its starting position to its final position A. rotation of 180° about the origin B. translation along the line p= n C. rotation of 90° about the origin D. reflection across the line
Answer: a
Step-by-step explanation:
what is the area of the parallelogram 12cm 11cm 9cm ?
Answer:
1188
multiply the numbers
in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test, (i) how many questions did she answer correctly out of the first 40 questions? (ii) how many questions should she answer correctly out of the 90 questions? (iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?
Answer:
total question =90
she obtained 75% of first 40 questions
No. of question she got correct in first 40 = 75% * 40 = 302. in order to get 80% out of 90,
the no. of questions got correct by Ama = 80% * 90 = 72
3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42
percentage = 42/50*100% = 84%
The number of questions answered correctly on the first 40 questions is 30.
The questions answered correctly of the 90 questions is 72.
The percentage answered correctly on the last 50 questions is 84%.
How many questions were answered correctly?Percentage can be described as a fraction of an amount expressed as a number out of hundred.
Number of questions answered correctly on the first 40 questions: 40 x 0.75 = 30
Questions answered correctly of the 90 questions: 90 x 0.8 = 72
Number of questions gotten correctly on the last 50 questions: (0.8 x 90) 30 = 42
Percentage = 42/50 x 100 = 84%
To learn more about percentages, please check: https://brainly.com/question/25764815
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find the zero of the function f(x) =-3x + 1
To find the zero of a function, we have to set f(x) equal to 0
0 = -3x + 1
Subtract 1 from both sides.
-1 = -3x
Divide both sides by -3
1/3 = x
A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles per hour, while the Circuit heads south at an average speed of 45 miles and hour. After 30 minutes, the two cars are about _____ miles apart. After 2 hours, the two cars are about ______ miles apart. Write an express for the distance, d (in miles) after t hours.
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
Simplify and write your
answer in standard form
5x(-3x + 8) - 4x + 7
Answer:
-15x^2 + 36x + 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
-15x^2 + 40x - 4x + 7
-15x^2 + 36x + 7
Multiply the radius times pi.
5. A circle has a diameter of 8.2 inches. Find its circumference?
Which shows how to find the value of this expression when X=-2 and y = 5?
(3xy-22
32 (-2)
54
3(-2)6
54
32 (5)
(-2)*
3
(2) 654
Answer:
it's the first one
Step-by-step explanation:
I got it right on edge
The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
What does simplification mean?In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.
Here,
Given expression,
= (3x³y⁻²)²
To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)
Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
Find out more about simplification by visiting this link: brainly.com/question/12501526
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please help me out am so confused
Answer:
(i) 2197
Step-by-step explanation:
(i) 13^3
= (10+3)^3
= 10^3 + 3^3 + 3(10)(3) (10+3)
= 1000 + 27 + 90(13)
= 1027 + 1170
= 2197
Similarly you can solve the other two.I need an answer asap!
Answer:
Step-by-step explanation:
(x + 11)/-2 = -8
x + 11 = 16
x = 5
Elizabeth claims that the only square root of 36 is 6. Which statement below disproves Elizabeth’s claim?
Answer:
The square root of a positive number can be a negative or positive value.
Step-by-step explanation:
Please help me out with this question
Answer:
no. 4
Step-by-step explanation:
I’m so confused what it is asking? (see the attached image)
Answer:
sole it
the(<) it wants you to figure out each side and put the inequality in between what you get
cann u heeeeellllpppp mmmmmeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a) 10/3
b) 30miles covered in 1/2 an hour
75 miles covered in 1 1/4 hours
therefore they get there at 4:15pm
c) an airplane covers 50 miles in 1/5 hours. how many miles can the airplane cover in 5 hours?
SOLUTION=5 divided by 1/5=25
50*25=1250 miles
Find three consecutive integers such that the sum of the 1st and 3rd is 60.