Answer:
[tex]x = \frac{7 + \sqrt{65}}{2} \ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = 7x + 4 \\\\x^2 - 7x - 4 = 0\\\\ a = 1 \ , \ b = - 7 , \ c \ = \ - 4 \\\\x = \frac{-b \pm \sqt{b^2 - 4ac }}{2a}\\\\Substitute \ the \ values : \\\\x = \frac{7 \pm \sqrt{7^2 - (4 \times 1 \times -4)}}{2 \times 1}\\\\x = \frac{7 \pm \sqrt{49 + 16}}{2 }\\\\x = \frac{7 \pm \sqrt{65}}{2 }\\\\x = \frac{7 + \sqrt{65}}{2}\ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Cual es el volumen de un cubo de 6cm de lado
Answer:
Espero te sirva saludos
[tex]5y( y + 3) - 2(y - 2) = 20[/tex]
Answer:
[tex]y = \frac{ - 13 - \sqrt{489} }{10} [/tex]
Answer:
Step-by-step explanation:
5y^2+15y-2y+4=20
5y^2-13y+4=20
5y^2-13y+4-20=0
5y^2-13y-16=0
This equation is in standard form: ax^2+bx+c=0. Substitute 5 for a, 13 for b, and −16 for c in the quadratic formula.
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is
Answer:
See explanation
Step-by-step explanation:
The question has conflicting details
[tex]f(x) = 2x + 5[/tex]
[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.
So, I will take f(x) as
[tex]f(x) = 2x + 5[/tex]
Next, solve for the inverse function
Replace f(x) with y
[tex]y = 2x + 5[/tex]
Swap x and y
[tex]x = 2y + 5[/tex]
Make 2y the subject
[tex]2y = x-5[/tex]
Make y the subject
[tex]y = \frac{x-5}{2}[/tex]
Replace y with the inverse sign
[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]
So, now we can calculate any value from the original function and from the inverse function.
For instance:
[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]
[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]
7 giờ bằng bao nhiêu giây?
Answer:
Step-by-step explanation:
25 200 giây
Express it in slope-intercept form.
Answer:
y = 3/2 x -3
Step-by-step explanation:
the line passes (0, -3) and (2, 0)
the slope = (0+3)/(2-0) = 3/2
the equation :
y-0= 3/2(x -2)
y = 3/2 x - 3
In this triangle, what is the value of x?
Enter your answer,
rounded to the nearest tenth, in the box.
Answer:
x = 75.7 cm
Step-by-step explanation:
sin = opp/hyp
sin63 = x/85
multiply both sides by 85
85 * sin63 = x
Use calculator
75.735554556011268 = x
Rounded
x = 75.7 cm
pls answer the underline questions
Answer:
What is the question?
Step-by-step explanation:
I will edit this and answer when you comment the question in this answer.
express the ratio below in its simplest form 4 : 2 : 2
simplest form 4 : 2 : 2 is 2:1:1
what is the solution of the system of liner equations -3x+4y=-18 2x-y=7
Answer:
(2, -3)
Step-by-step explanation:
YEAH
Answer:
x=2; y=-3
Step-by-step explanation:
Write the slope-intercept form of the linear equation that has a slope of 3
and a y-intercept of -1.
Answer:
y = 3x - 1
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Help
Will give
Brainlist
Thank uuu
Answer:
first option is correct
Step-by-step explanation:
finding area for upper rectangle
length = 16 miles
breadth = (2x - 1) miles
area of rectangle = l*b
=16 *(2x - 1)
16*2x - 16*1
=32x - 16
finding area for another rectangle
length = (5x + 5) miles
breadth = 4 miles
area of rectangle = l*b
= (5x + 5) * 4
=5x*4 + 5*4
=20x + 20
area of the figure = area of upper rectangle + area of another rectangle
=32x - 16 + 20x + 20
= (52x + 4) sq mi
x
+
5
y
=
20
x
+
3
y
=
14
Answer:
A) x + 5y = 20
B) x + 3y = 14
Multiplying A) by -1
A) -x -5y = -20 then adding B)
B) x + 3y = 14
-2y = -6
y = 3
x = 5
Step-by-step explanation:
Question 54 of 98
Which expression uses the associative property to make it easier to evaluate
20(3-6)
O A. 20(6)
B. 20(-5)
c. - 6)20
D. (20 - )6
SUBMIT
submitdjememendixodme ejej
find the equation of Best fit for the data in the table
Answer:
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Step-by-step explanation:
The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:
[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)
Now we proceed to check if the table represents a line instead of another kind of function:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]
[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]
[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]
[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]
Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - y-Intercept.
If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:
[tex]m + b = 5[/tex] (1)
[tex]6\cdot m + b = 15[/tex] (2)
The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
In how many ways can a committee of
3 boys and 2 girls be chosen from 6
boys and 4 girls?
(WAEC)
Answer:
This might be permutation promblem srry if im wrong.
P(6,3)=6x5x4=120
P(4,2)=4x3=12
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line
What is the value of sece given the diagram below?
What is the value of sece?
Answer:
[tex]\sec \upsilon = -\sqrt{5}[/tex]
Step-by-step explanation:
Given a point in rectangular form and by definition of trigonometric relations, we know that the secant associated to the vector is:
[tex]\sec \upsilon = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (1)
If we know that [tex]x = -3[/tex] and [tex]y = 6[/tex], then the secant of the vector is:
[tex]\sec \upsilon = \frac{\sqrt{(-3)^{2}+6^{2}}}{(-3)}[/tex]
[tex]\sec \upsilon = -\sqrt{5}[/tex]
Answer:
a
Step-by-step explanation:
just took the test
Help ASAP
Jack lives 210 miles from Cleveland, where he wants to visit. He has already traveled 125 miles on the bus and then took the train the rest of the way. How many miles were traveled on the train?
Answer:
85 miles
Step-by-step explanation:
He needed to travel a total of 210 miles
He had already traveled 125 miles on bus
And he traveled the rest of the length on the train
If we want to find the distance he traveled on train we simply subtract total distance by distance traveled on bus
So distance traveled on train = 210 - 125 = 85
So he traveled a total of 85 miles on train
What is the slope of the line with equation y−3=(x−2)?
A coordinate plane with a line passing through the points at (2, 3) and (4, 2).
–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2
Answer:
B on edge 2021
Step-by-step explanation:
HEEELPPPPPPPPPPPPPPPPPPP ill give 20 brainlists
Answer:
B
Step-by-step explanation:
i think it is.....................
What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
Please help. Thank you
Given:
[tex]PQRS\sim TUVW[/tex]
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
[tex]PQRS\sim TUVW[/tex]
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
[tex]k=\dfrac{VW}{RS}[/tex]
[tex]k=\dfrac{25}{35}[/tex]
[tex]k=\dfrac{5}{7}[/tex]
Therefore, the scale factor from PQRS to TUVW is [tex]k=\dfrac{5}{7}[/tex].
There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?
Answer:
9
Step-by-step explanation:
Question:
Minimum number of balls to ensure there is at least one ball of each colour marked with each number.
The quantity of distinct numbers are:
red: 4
Yellow 3
Blue 2
So the minimum number of balls to satisfy the given requirements is
4+3+2= 9
parallel lines
EF and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD
Answer:
[tex]{ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}[/tex]
HELP ME!
Line segment EQ consists of the points ____________. ???
Answer:
{F, G, H, I, J, K, L, M, N, O, P}
are the points between segment EQ :)
Find the missing segment
Answer:
The unknown side is 140
Step-by-step explanation:
Let the unknown side be x
Using ratios
90 90+36
------ = -----------
x x+56
90 126
------ = -----------
x x+56
Using cross products
90(x+56) = 126x
Distribute
90x+5040 = 126x
Subtract 90x
5040 = 36x
Divide by 36
140 =x
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
Công ty Hà Dũng chuyên sản xuất và kinh doanh máy điều hòa nhiệt độ. Hiện công ty đang tự chế tạo được tất cả các bộ phận của máy. Có nhà cung cấp bên ngoài đề nghị bán cho công ty một chi tiết của máy giá 20.000đ/cái. Để đánh giá đề nghị này công ty đã tập hợp các chi phí có liên quan đến 15.000 chi tiết như sau: (ĐVT : 1.000đồng) Khoản mục chi phí Tính cho 1 đơn vị Tính cho 15.000 đơn vị mỗi năm Chi phí NVL trực tiếp 6 90.000 Chi phí Nhân công trực tiếp 8 120.000 Biến phí sản xuất chung 1 15.000 Định phí SXC 5* 75.000 Chi phí chung phân bổ 10 150.000 Tổng cộng chi phí 30 450.000 • Định phí SXC có 40% là lương quản lý bộ phận, 60% là khấu hao TSCĐ ( không có giá trị tận dụng Yêu cầu : 1. Giả sử công ty không có phương án nào để sử dụng hết các thiết bị hiện tại đang dùng trong sản xuất của bộ phận trên. Vậy công ty có nên chấp nhận lời đề nghị của nhà cung cấp bên ngoài không ? Lập báo cáo so sánh thu nhập hai phương án
Please solve 3^(x+3) + 3^(x+4)/3 = 162