Answer: [tex]x=0.30714\dots +\pi n[/tex]
Step-by-step explanation:
[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
please help. its for an assignment that is due today.
PLEASE HELP ME!! this is due tonight and i really need help with this so i can do other assignments
explaining your answer = brainliest/ five stars
the area of this square = ___ cm
Answer:
64cm² I think :) if u get it wrong dont blame it on me.
Answer:
64 cm^2
Step-by-step explanation:
The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)
A = s^2
= 8^2 (8 x 8)
= 64 cm^2
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).
What is a Function?A function is a law that relates a dependent and an independent variable.
The function has x-intercepts at (-3,0) and (5,0),
The function has two roots: -3 and 5
So, the equation is a quadratic equation represented by
f(x) = a(x + 3)(x - 5)
The function goes through the point (1. 8)
y = 8 when x = 1
f(1) = a(1 + 3)(1 - 5) = 8
-16a = 8,
a = (-1/2)
f(x) = (-1/2)(x + 3)(x - 5)
f(x) = (-1/2)(x² + 8x - 15)
To know more about Function
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Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
What is the slope of the line that contains these points?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m=8}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]
⸻⸻⸻⸻
[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]
⸻⸻⸻⸻
[tex]\text{The slope is 8.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
learn more about Recursively defined sequence
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What is the area of the polygon enter your answer in the box
43.5 units2
45.5 units2
56.5 units2
49.5 units2
Answer:
Option (1)
Step-by-step explanation:
Area of the polygon = Area of CDE + Area of EFG + Area of ABCF
Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(2)[/tex]
= 3 units²
Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]
= 2.5 units²
Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
= [tex]\frac{1}{2}(8+11)(4)[/tex]
= 38 units²
Area of the given polygon = 3 + 2.5 + 38
= 43.5 units²
Therefore, Option (1) will be the correct option.
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answer:
yes this is true helpful answer
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
What is the value of x?
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points
Answer: Hi the Range is 4
Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
18, 16, 19, 15, 17
19,18,17,16,15
19-15= 4
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channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
Using laws of exponents,
The answer is :
- i
I hope this helps
Answer:
-i
Step-by-step explanation:
just did it on edg 2021
-3 + 4x = 25
help mee
Answer:
are u solving for x if so then
x=7
Step-by-step explanation:
hope this helps ...brainliest please!
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
can someone help with this one im confused.
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
The number of subsets that can be created from the set {1, 2, 3} is:
Answer:3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subset : {} ; {1} ; {2} ; {3} ; {1,2} ; {2,3} ; {1, 3} ; {1,2,3}
Number of subsets = 8
what is b
−2.9+ b/0.1 = − 39.9
Answer:
b = - 1.09
Step-by-step explanation:
- 2.9 + b ÷ 0.1 = - 39.9
- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1
- 2.9 + b = - 3.99
- 2.9 + 2.9 + b = - 3.99 + 2.9
b = - 1.09
Answer:
Exact form
b=-37/10
Decimal form
b=-3.7
Mixed Number form
b+-3 7/10
Step-by-step explanation:
-2.9+b/1/10+-39.9
-2.9+10b+-39.9
10b=-39.9+2.9
10b=-37
b=-37/10
Given 4x2 – 7x = -3, what are the solutions??
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Answer:
A) 23
B) 75
C) 6.30
Step-by-step explanation:
A) Range = highest value - least value
Range = 20
least value = 3
Thus,
20 = highest value - 3
highest value = 20 + 3
= 23
The number that would make the range of the data set 20 is 23.
B) Let the number be represented by x, so that;
15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]
cross multiply to have
15 x 8 = 45 + x
120 - 45 = x
x = 75
The number that would make the mean of the data set 15 is 75.
C) The given data plus a number that is close to the mean would reduce the standard deviation.
mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]
= 6.43
The required number could be 6.30
Write as a single fraction in its simplest form.
how do you do this?
Answer:
(-12x - 25) / (x + 3) (x - 5)
Step-by-step explanation:
1 - 2x/(x+3) + (x+3)/(x - 5)
= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)
= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)
= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)
= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)
= (-12x - 25) / (x + 3) (x - 5)
Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!
Answer:
here u go
Step-by-step explanation:
what i did was 15*7 which is 105
and then i did 105/2 which is 52.5 ft
Answer:
V = 1237 cubic feet
Step-by-step explanation:
V of cylinder = πr^2h
r = 7.5 ft (15/2)
h = 7 ft
v = ((7.5)^2)π*7 = 1237.002107 cubic feet
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
rhombus
Step-by-step explanation:
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
