Answer:
[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]
Factor this trinomial completely.
2x2 + 10x + 8
A. 2(x+4)(x + 1)
B. 2(x + 4)(x - 1)
C. 2(x - 4)(x - 1)
D. 2(x 7,4)(x + 1)
Answer:
[tex]{ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}[/tex]
Answer:
A. 2 ( x + 4 )( x + 1 )
Step-by-step explanation:
2x² + 10x + 8
factor out 2 from the equation
2 ( x² + 5 x + 4 )
write 5x as a sum and rewrite the expression
2 ( x² + 4x + x + 4 )
factor out x from the equation
2 ( x ( x + 4 ) + x + 4 )
factor out x + 4 from the equation
2 ( x + 4 ) ( x + 1 )
What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31
Answer:
[tex]x_{n} =[/tex] -10 - 3(n-1)
Step-by-step explanation:
The answer is
xn = -10 - 3(n-1)
can someone pls pls help me?
Answer:
area is 320
Step-by-step explanation:
you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in
An angle that measures between 90 and 180° is called?
Answer:
Obtuse AngleStep-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
Point S is located at (9,-3). point T is located at (4,-3).
What is the distance from S to point T?
Answer:
5
Step-by-step explanation:
since the 2 points have y values, line ST is parallel to x axis.
we just need to look for the difference between the two x values of the two points. I.e. 9-4 = 5
Which number(s) below belong to the solution set of the equation? Check all
that apply
x + 9 = 26
A. 17
B. 234
C. 52
D. 35
E. 26
F. 3
Answer:
A
Step-by-step explanation:
x + 9 = 26
x = 17
Answer:
A.17
Step-by-step explanation:
17+9=26
What is the area please?
Answer:
104
Step-by-step explanation:
18 for the bottom section, 35 for the middle section, and 51 for the top triangle.
For EASY BRAINLIEST!!!
Answer 6. 7. 8. 9. !!
Please help I’m going to fail!
Answer:
Step-by-step explanation: 6 29 7 42
6) a number x increased by -18
x + (-18)
or x - 18
7) x subtracted from its reciprocal
1/x - x
8) two numbers have the sum of 11, one number is q find the other
x + q = 11
x + q - q = 11 - q q - q = 0
x + 0 = 11 - q
x = 11 - q
9) six is added to 4 times a number equals 42, find the number
( I don't know the six steps discussed in class. This is how I would do it)
6 + 4x = 42
6 - 6 + 4x = 42 - 6 isolate the variable, - 6 from both sides
0 + 4x = 36 6 - 6 = 0, 43 - 6 = 36, solve for x
4x/4 = 36/4 divide both sides by 4
1x = 36 /4 4/4 = 1
x = 9
f(x) = x2. What is g(x)?
Answer:
Step-by-step explanation:
C
What transformation(s) were made to the original f(x) = x graph?
The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5
Solve the equation below for x. cx - 4 = 7
Answer:
x = [tex]\frac{11}{c}[/tex]
Step-by-step explanation:
Given
cx - 4 = 7 ( add 4 to both sides )
cx = 11 ( isolate x by dividing both sides by c )
x = [tex]\frac{11}{c}[/tex]
Given StartLayout Enlarged left-brace First-row StartFraction x cubed minus 1 Over x squared minus 1 EndFraction, for x less-than 1 second row StartFraction 3 Over x minus 1 EndFraction, for x greater-than-or-equal-to 1 EndLayout. What is Limit of f (x) as x approaches 1 minus?
Negative three-halves
0
Three-halves
DNE
Answer:
Its C 3/2 just did the test
Step-by-step explanation:
The value of the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex] is ∞, since option (d) DNE.
What is function?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
How to evaluate the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex]?The given function is [tex]f(x)=\left\{\begin{array}{l}\frac{x^{3}-1}{x^{2}-1}, \text { for } x < 1 \\\frac{3}{x-1}, \text { for } x \geq 1\end{array}\right[/tex].
We need to evaluate the value of [tex]\lim_{ x \rightarrow {1^-}}f(x)[/tex].
So [tex]\lim_{ x \rightarrow {1^-}}f(x)=\lim_{ x \rightarrow {1}}(\frac{3}{x-1})[/tex]
[tex]=\frac{3}{1-1}[/tex]
[tex]=\frac{3}{0}[/tex]
= ∞
Hence the value of the function is ∞.
Learn more about the function on https://brainly.com/question/12431044
#SPJ2
a)ab
b)bh
c)gc
d)fe
help me please
Answer:
Its a
Step-by-step explanation:
Answer:
Letter C) bh
Step-by-step explanation:
Segment bh is straight across cd and parallel line extend in the same direction but never intersect.
Hope this helps
Complete the square to rewrite y=x2 - 6x + 2 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates.
A. Maximum at (-3, -7)
B. Maximum at (3,-7)
C. Minimum at (3, -7)
D. Minimum at (-3, -7)
Answer:
C is the Answer
Step-by-step explanation:
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Answer:
C) Minimum at (3,-7)
Step-by-step explanation:
[tex]y=x^2-6x+2[/tex]
[tex]0=x^2-6x+2[/tex]
[tex]0+7=x^2-6x+2+7[/tex]
[tex]7=x^2-6x+9[/tex]
[tex]7=(x-3)^2[/tex]
[tex]0=(x-3)^2-7[/tex]
[tex]y=(x-3)^2-7[/tex]
Because the parabola opens upward, the vertex is the minimum of the function. Therefore, the vertex is the minimum at (3,-7).
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
[tex]f(x) = mx + b[/tex]
The above function is real for all values of x
The inverse is calculated as thus:
[tex]f(x) = mx + b[/tex]
Replace f(x) with y
[tex]y = mx + b[/tex]
Swap y and x
[tex]x = my + b[/tex]
Make y the subject
[tex]my = x - b[/tex]
Divide by m
[tex]y = \frac{x - b}{m}[/tex]
Replace y with the inverse function
[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options
What percent is represented by the fraction 6/ 4?
Answer:
150%
Step-by-step explanation:
divide 6 by 4 then multiply by 100 to get 150%. :)
Find the coordinates of the vertices of the figure after the given transformation: T<0,7>
Answer:
A
Step-by-step explanation:
X(-4, -5) ---> T<0,7> ---> X'(-4+0, -5+7) =>(-4, 2)
L(-5, -2) ---> T<0,7> ---> L' (-5+0, -2+7) =>(-5, 5)
W(-3, -3)--->T<0,7> --->W'(-3+0, -3+7)
=>(-3, 4)
the correct answer is option A
What is the total cost of a $25 book if the sales tax is 8%?
Answer:
27
Step-by-step explanation:
First find the tax
25 *8%
25*.08
2
Add the tax to the cost of the book
25+2
27
Answer:
simple answer would be 27 dollars
Step-by-step explanation:
the more complicated answer would be:
25 times 0.08 on the calculator (or in your head) would be 2
25 added by 2 would equal 27 dollars
the first one is finding the sales tax total
the second one is subtracting the total cost of the book by the sales tax total to get 27 dollars or the NEW total
(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form
Answer:
[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]
What is the inverse relation of the function whose equation is y= 3x-2
Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
Help a girl out pls
What are the exact solutions of x2 - X-4 = 0, where -b + √b² - 4ac X= 2a Ox= -115 2 Ox= 11 15 2 O x = 1:17 2 0x==137
Answer:
1 ± sqrt(17)
x = ---------------------------
2
Step-by-step explanation:
x^2 - x - 4 =0
Using the quadratic equation
-b ± sqrt(b^2 -4ac)
x = ---------------------------
2a
Where ax^2 +bx +c
We know a =1 b = -1 c = -4
-(-1) ± sqrt((-1)^2 -4(1)(-4))
x = ---------------------------
2(1)
1 ± sqrt(1 +16)
x = ---------------------------
2
1 ± sqrt(17)
x = ---------------------------
2
Could someone help me please if you don’t mind thank you so much!
Answer:
m = 11
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
If I spend 3/4 of the
money in my pocket and then 1/2 of what is left.
What fraction of the sum remains?
Please hurry
Answer:
1/8 of the original sum still remains.
Step-by-step explanation:
If you spend 3/4 of what you have, you have 1/4 left.
Now you spend 1/2 of that 1/4, so basically divide 1/4 by 2. When dividing fractions you can multiply the fraction by the reciprocal of the other fraction.
[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{4}[/tex] * [tex]\frac{1}{2}[/tex]
= 1/8
So I think 1/8 of the original sum still remains.
Hope this helped, please mark brainliest if possible. Have a nice day.
What is the solution to the equation below? Round your answer to two decimal places. 6+7 • log2 x = 21
A. x = 4.42
B. x = 3.06
C. x = 2.61
D. x = 4.59
answer is A. X = 4.42
Step-by-step explanation:
6+ 7•log2 x = 21
7.log2 x = 21-6
7. log2 x = 15
log2 x = 15/7
x = 2^(15/7)
x = 4.416 = 4.42
pls help due in 1 hr
Answer:
x = 10.6
Step-by-step explanation:
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(49) = 8/x
x = 8/sin(49)
x = 10.6
What percentage of the data values falls between the values of 27 and 45 in the data set shown?
VX
25
30
35
40
45
50
25%
O 50%
оооо
O 75%
100%
Answer:
75%
Step-by-step explanation:
Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile
Between the minimum value and the upper quartile, there is 75% of all the values on the plot
So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.
Kindly note;
There are five points in a box plot
minimum
lower quartile (0-25%)
Median (0-50%)
Upper quartile (0-75%)
Maximum number (0-100%)
what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?
Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
50 POINTS please help!
quickly
What is the value of sinX?
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
1) 1 hour and 15 minutes
2) 4:07
3) 30 minutes
4) 8:35
9) 1 hour and 53 minutes
10) 4:17
11) 2 hours and 52 minutes
12) 3:35
13) 9:55
14) 8:10
15) 1 hour and 45 minutes
16) 3:05
17) 6:48
18) 9:45
19) 1 hour and 25 minutes
20) 2 hours and 45 minutes
Brainliest would be appreciated :)
if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
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Answer:
Step-by-step explanation:
I think its 2