Step-by-step explanation:
(x-2)³ = (x-2) × (x-2) × (x-2)
(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4
(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8
x³ -6x² +12x - 8
1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.
2. Mark a point Q on the unit circle where tangent has a value of 0.
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
find the missing side. Round it to the nearest tenth.
Final Answer: 82.2
formula used: a² + b² = c²
a = 66
b = 49
c = x
Solution:
66² + 49² = x² (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)
4,356 + 2,401 = x²
[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]
82.201 = x
rounded to the nearest tenth: 82.2
hope this helps, let me know if its incorrect or not
have a great day ;)
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
In the diagram below ABE = 65° and DĈF = 32º. E- B 650 D 32°C A F Calculate the size of EBC
Step-by-step explanation:
lol wea is the diagram??
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base?
Answer:
Step-by-step explanation:
You already know the formula for area of a triangle, so we will write it down and then fill it in with the info given.
[tex]A=\frac{1}{2}bh[/tex] and filling in:
[tex]54=\frac{1}{2}b(12)[/tex] and we can simplify that a bit by dividing 12 by 2 on the right side to get:
54 = 6b and dividing:
b = 9 inches
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)
Answer:
(−∞,−1) interval is is the function decreasing..Step-by-step explanation:
Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7To find : On which interval is the function decreasing?Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.As we notice it is increasing on the interval (-1,\infty)(−1,∞)Decreasing on (-\infty,-1)(−∞,−1)Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
The parent function is given as:
[tex]f(x) =|x|[/tex]
The transformed function is given as:
[tex]g(x) =|x + 1| - 7[/tex]
Both functions are absolute value functions, and an absolute value function is represented as:
[tex]y=a| x-h |+k[/tex]
Where, the vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:
[tex](h,k) = (-1,-7)[/tex]
[tex]a= 1[/tex]
Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.
This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.
Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
Read more about transformation at:
https://brainly.com/question/5757291
instruction Find m<LMN
Answer:
∠ LMN = 70°
Step-by-step explanation:
The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is
∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°
Determine the intercepts of the line.
Answer:
y-intercept = -55
x-intercept =25
Step-by-step explanation:
I know how to do this
what is 20(y)+2(x) if y=2 and x=9
btw this is me
Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58
Answer:
58
Step-by-step explanation:
If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.
NOW ASAP I NEED HELP ON THIS FAST PLEASEEEEEEEEEEEEE
Answer:
fourth time ...
same problem...
the red line crosses a corner of a box at (4,20) and (2,10)
20/4 = 5
and
10/2 = 5
the slope , constant, gradient for this relationship is "5"
Step-by-step explanation:
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales
Answer:
I am not sure on the answer but i think its $9,000
Step-by-step explanation:
11,000x0.20=2,200
2,200+11,000=13,200
22,200-13,200=9,000
which would mean she got $9,000 from commissions.
if you did 100,000x0.03=3,000
9,000/3,000= 3
so she would have had 3 commissions worth over 100,000
Which of the points does not lie on the line y=x^2
Answer:
y does not lie on the point x^2 lie
Answer:
[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]
Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?
4 units
8 and two-thirds units
10 units
14 and two-thirds units
Answer: Distance = 4
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the distance from Layan's house to the store, where:
L (Layana) (2 2/3, 7 1/3)S (Store) (-1 1/3, 7 1/3)[tex]Distance = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(-1\frac{1}{3} - 2\frac{2}{3} )^2+(7\frac{1}{3} -7\frac{1}{3} )^2}[/tex]
[tex]Distance = \sqrt{(-4)^2+(0)^2}[/tex]
[tex]Distance = \sqrt{16+0}[/tex]
[tex]Distance = \sqrt{16}[/tex]
[tex]Distance = 4[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A
Step-by-step explanation:
Did the test sorry I'm late
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit
Answer:
Pressure is 80,000 pascals.
Step-by-step explanation:
Area:
[tex] = { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}[/tex]
Pressure:
[tex]{ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}[/tex]
I’m very confused abt this question: Look at the pic for clarification.
Answer:
8A
Step-by-step explanation:
We are multiplying the matrix by a scalar
Each term in the first matrix is multiplied by 2
[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]
Factor out 2
[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]
We know that the determinant of a matrix when multiplied by a scalar is found by
det ( a A) =a^n * det (A)
The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square
det (2A) = 2^3 det(A) = 8A
Answer:
(A)
Step-by-step explanation:
Factor the 2 out and do 2/1=x/A
X=2A
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
Will give Brainliest!!
Jocelyn eats 5 gummy worms today. Each day she eats one more than the day before. How many gummy worms in all will she have eaten by the end of Day 32?
Answer:
Jocelyn will have eaten 620 (which is way too much) by the end of day 32.
Step-by-step explanation:
First find out all the numbers that have to be added.
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35
Then, Add.
5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35
= 620
Jocelyn ate 620 gummy worms by the end of the 32nd day.
Thank YOu! Please mark me brainliest!
Answer:
656
Step-by-step explanation:
i took the test
please please jhelp me....
Answer:
2·v - (u + w) = (5, 0, -10)
Step-by-step explanation:
The given values of the vectors are;
u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)
The required vector is 2·v - (u + w)
2 × v = 2 × (4, 0, -2) = (8, 0, -4)
(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)
Therefore;
2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)
2·v - (u + w) = (5, 0, -10)
Which function has a double root of 3 and a double root of -2
in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle
Answer:
Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
2axy-4a^2xy^2+6a^3x^2
Answer:
2ax(y-2ay^2+3a^2x)
Step-by-step explanation:
2axy-4a^2xy^2+6a^3x^2
Given data
we have the following expression
2axy-4a^2xy^2+6a^3x^2
let us factor this expression
we have
2ax(y-2ay^2+3a^2x)
The common factor is 2ax
And the factorized expression is 2ax(y-2ay^2+3a^2x)
Do any one of them, please help needed
Answer:
a = -3
Step-by-step explanation:
f(x) = 5x³+4x²+3x-4a
f(-1) = 8
therefore , x = -1
substituting x = -1 in 5x³ + 4x² +3x-4a
5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8
-5 + 4 -3 - 4a = 8
-8 + 4 -4a = 8
-4 - 4a = 8
shifting -4 from LHS to RHS
-4a = 8+4
-4a = 12
[tex] - a = \frac{12}{4} [/tex]
therefore
-a = 3
a = -3
ANS = the value of a = -3
if you r having any queries please comment down and make it brainlist answer if you liked it and hit a like too!!!!!!
if f(x)=3(x+5)+4/x, what is f(a+2)
I need the answer to this
Answer:
C
Step-by-step explanation:
it is rewritten in the form of 60/(2^x)
Can someone please help me?
Answer:I’m not sure
Step-by-step explanation: try and use the scientific demos
need help asap today by 5
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.
ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
Learn more about rotation of a point with respect to origin here:
https://brainly.com/question/18856342
#SPJ2
