Step-by-step explanation:
x and y trade places.
f(x) = y = 4x - 9
y + 9 = 4x
x = (y + 9)/4
and to make it a true function notation, we need to rename x to y and vice versa and get
y = (x + 9)/4
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the values of 9p5 ?
A: 45
B: 126
C: 3024
D: 15,120
Answer:
The correct answer is D:-15,120
[tex]^{n}P_{r}=\dfrac{n!}{(n-r)!}\\\\\implies ^{9}P_5 = \dfrac{9!}{(9-5)!} =\dfrac{9!}{4!} = 15120[/tex]
The answer is D.
What is the factorization of the trinomial below?
x^3 - 12x^2 + 35x
A. (x - 7)(x + 5)
B. x(x - 7)(x - 5)
C. (x^2 - 7)(x + 5)
D. x(x - 7)(x + 5)
The formula for finding the
change in CPL is [(new-old)/old]
for different baskets of goods
and services. What is the
change in the CPL if the new
price for transportation
services is $100 and the old
price was $80?
A. 25%
B. 15%
C. 10%
Answer:
25%
Step-by-step explanation:
100-80=20
20/80Ⅹ100=25%
How do I find the volume?
Answer:
150m^3
Step-by-step explanation:
The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.
Find the area of sector RST Enter your answer in terms of a fraction of it and rounded to the nearest
hundredth.
Fort nite battle pass is 8 dollars
arrange in descending order
Answer:
7 / 16, 3 / 7, 1 / 5
Step-by-step explanation:
1 / 5 = 0.2
3 / 7 = 0.428
7 / 16 = 0.4375
In descending order,
0.4375, 0.428, 0.2
Hence the answer is 7 / 16, 3 / 7, 1 / 5
Special Right Triangles
Isosceles Right Triangle
30-60-90 Triangle
help 1-12 please
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
1.
since it is a right-angled triangle, and one of the leg angles is 45°, then the other leg angle is also 45°.
which makes this an isoceles triangle.
so, the second leg is 6 too.
the baseline (Hypotenuse) is then per Pythagoras
baseline² = 6² + 6² = 36 + 36 = 72 or 2×36
baseline = sqrt(72) = 6×sqrt(2)
2.
this is then a 30-60-90 triangle.
the left leg (a) is then 2a/2 = 10/2 = 5.
and the bottom leg is 5×sqrt(3).
3.
isoceles triangle.
so, left and right legs (a) are both 3 (from the 3×sqrt(2)).
4.
30-60-90 triangle
upper leg is then 6×sqrt(3).
the baseline is 2 times the left leg : 2×6 = 12
5.
isoceles triangle
both legs are 2 (from the 2×sqrt(2)).
6.
30-60-90 triangle
left leg is 4 (from the 4×sqrt(3)).
the baseline is 2×4 = 8.
7.
isoceles triangle.
6 = a×sqrt(2)
a (both legs) = 6/sqrt(2)
8.
30-60-90 triangle
9 = a×sqrt(3)
a (left leg) = 9/sqrt(3)
baseline = 2a = 2×9/sqrt(3) = 18/sqrt(3)
9.
due to the equal leg angles this is an isoceles triangle.
4 = a×sqrt(2)
a (both legs) = 4/sqrt(2)
10.
30-60-90 triangle
the bottom leg (a) = 2a/2 = 6/2 = 3
the left leg is then 3×sqrt(3)
11.
isoceles triangle
left leg is also 5.
baseline is 5×sqrt(2)
12.
30-60-90 triangle
12 = a×sqrt(3)
a (left leg) = 12/sqrt(3)
the baseline is then 2a = 2×12/sqrt(3) = 24/sqrt(3)
What is the range of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44°
Answer:
31
Step-by-step explanation:
First put your numbers in order
44 , 64 , 68 , 68 , 68 , 70 , 72 , 74 ,
Then subtract the Highest and Lowest numbers by each other
75 - 44 = 31
Westford Lake was originally blue because it only had 810 algae plants. Then towns and farms cropped up by the lake. This caused 9,772 more algae plants to grow, which turned the lake green. How many algae plants are now in Westford Lake?
Answer:
10,582 algae plants
Step-by-step explanation:
10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.
find m<DAC= x in circle O given that m<BOA= 66° and m<DB= 20°. (The figure is not drawn to scale.)
Answer:
66+20+x=180(sum of angle in a triangle)
x=180-(66+20)
x=180-86
x=94
The adults and children in a neighborhood attended a party. There were 18 children.
There were w fewer children than adults. How many people were there at the party?
There was a total of w + 36 people at the party.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, The adults and children in a neighborhood attended a party. There were 18 children.
Let "x" be the number of Persons in the party
Since,
There were w fewer children than adults.
thus,
Number of Adults in the party = w + 18
x = w + 18
Total number of people at party = x + 18
Total number of people at party = w + 18 + 18
Total number of people at party = w + 36
Therefore, there were w + 36 people at the party.
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3. For each triangle, find the length of the labeled side.
Answer:
see explanation for detailed analysis
Police use the formula: v = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 109 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answer: The car was traveling at approximately ____________ miles per hour.
Answer:
46.7 mph
Step-by-step explanation:
The speed can be found by substituting the measured skid length for the variable in the formula.
v = √(20L)
v = √(20×109) = √2180 ≈ 46.7
The car was traveling at approximately 46.7 miles per hour.
3+8+(87÷4)=(12345676×3825829){=dheg
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Using the equation 5x=4y, if y=10, what is x?
Answer:
x = 8
Step-by-step explanation:
plug 10 into the other equation for y then solve...
5x = 4(10)
5x = 40
x = 8 [Answer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
x = 8
Step-by-step explanation:
Using the equation 5x = 4y, if y = 10, what is x?
5x = 4y
5x = 4(10) <== substitute 10 for y
5x = 40
/5 /5 <== divide both sides by 5
x = 8 <== value of x, our final answer
Hope this helps!
A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is π4 , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Answer:
Step-by-step explanation:
aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:
tanθ = opp/adj = y/x
y = xtanθ
What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):
dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)
We need to find out values for all of the variables:
The observer is not moving, therefore dx/dt = 0.
The observer is standing 4 miles away from the lift-off point, so x = 4.
The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.
The rate of change for the angle, dθ/dt, is 0.1.
Just plug all the numbers in:
dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)
dy/dt = 0 + 1.6
dy/dt = 1.6 mi/min
Triangle ABC has vertices A (-4,4), B(0, 3), and C(1,-1). Find the vertices of triangle A'B'C' after a
reflection across the x-axis.
Reflection is flipping. The x axis is the horizontal line. If you flip a shape over the x axis, it will still stay in the same area for the horizontal points, it's the vertical points that will change, but only their signs will because a reflection isn't moving a shapes location completely. Think of it like Flipping the page of a book. If you drew a triangle on your book page and flipped the page, it would still be in the same area just the opposite side/direction. Just make the y axis (second number in brackets) points the opposite sign to solve
-4,-4 0,-3. 1,1
Help pls
Question 1 Part A (3 points): What is the greatest common factor (GCF) of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
Answer:
I think the answer is 3x
Step-by-step explanation:
If i am wrong please correct me
The correct answer is 3x
What is greatest common factor?The greatest common factor is the largest factor among all the numbers in the equation.
So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]
We need to find the GCF from the given equation
[tex]3x(6x^{2} +2xy-3x-y)[/tex]
Hence, here we are getting the common factor as 3x
which the largest common factor in the given equation.
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What is the slope-intercept equation for this line?
y = [?]x+ []
Answer:
y=3x+1
Step-by-step explanation:
If the number of equally likely sample outcomes of a single experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?
i’ll try to mark the right answer as brainliest<: ( 20 points )
What is the length of the triangular prism shown? 25 cm
15 cm
9 cm
25 cm
12 cm the answers are A.86 B.1008 C.1350 D.1080
Answer:
Total Surface Area = 1008 cm^2
Step-by-step explanation:
2 X 1/2 X (12 X 9) (Surface area of the two triangles) (Area of triangle = 1/2 Base X Height)
+ 25 X 15 (Slanted Surface)
+ 25 X 9 (Back Rectangle)
+ 25 X 12 (Bottom Rectangle)
= 1008
Can you find the missing side length?
Step-by-step explanation:
you need to calculate all the sides that are given to get the other side
It seems like they have shown you how to calculate so give it a try
Cual es el resultado de la división 636
entre 3
Answer:
its gonna be 212 fam
Step-by-step explanation:
Consider the function f(x)=8x3−2. If f(g(x))=x and g(f(x))=x, find g(x)
I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.
For this problem, simply find the inverse of f(x).
If you are stuck, I could provide you with a solution below...
f(x) = 8x³ - 2
y = 8x³ - 2
y + 2 = 8x³
(y + 2)/8 = x³
cube root((y + 2)/8) = x
g(x) = cube root((x + 2)/8)
The value of function g(x) after solving will be ∛(x + 2) / 2.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of function,
f(x) = 8x³ − 2
And, f(g(x)) = x and g(f(x)) = x
Now,
Since, f(g(x)) = x
And, f(x) = 8x³ − 2
The substitute x = g (x) in above equation we get;
f (g(x)) = 8 (g(x))³ - 2
x = 8 (g(x))³ - 2
Add 2 both side;
x + 2 = 8 (g(x))³
Divide by 8;
(x + 2)/8 = (g(x))³
Take cube root both side;
∛(x + 2)/8 = g(x)
g(x) = ∛(x + 2) / 2
So, The value of function g(x) after solving will be ∛(x + 2) / 2.
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Factor 2x2 + 7x + 10x + 35 by grouping.
Answer:
(x+5)(2x+7)
Step-by-step explanation:
x(2x+7) + 5(2x+7)
(x+5)(2x+7)
I hope this helps!!
Is a 779 a good MI score
Answer:
yes
explanation:
Your score falls within the range of scores, from 740 to 799, that is considered Very Good. A 779 FICO Score is above the average credit score. Consumers in this range may qualify for better interest rates from lenders.
The square root of the cube of 4 is equal to
3 or 4 or 16 or 8 or 2
Answer:
Step-by-step explanation: 1.587401052
Answer:
8
Step-by-step explanation:
this means
[tex] \sqrt{ {4}^{3} } [/tex]
4³ = 4×4×4 = 64
the square root of 64 is 8.
A company interviewed 21 applicants for a recent opening. Of these applicants, 7 wore blue and 6 wore white, while 5 applicants wore both blue and white. What is the number of applicants who wore neither blue nor white?
Answer:
3 participants
Step-by-step explanation:
7 + 6 + 5 = 18
21 - 18 = 3 participants
Help picture below problem 8
Answer:
Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52
Step-by-step explanation: