Answer:
c = - 4
Step-by-step explanation:
Nothing else matters except that the number associated with the y value in equation one = 1 and the number in front of x is known in equation 1. Then we'll get around to looking at c
Add 2y to both sides of equation 1 (the top equation)
3x - 2y + 2y = 3 + 2y
3x = 2y + 3
Now divide both sides of the equation by 2
3x/2 = y + 3/2
What's in front of x? It is (3/2)
So divide both sides of 6x + cy = 4 by c
6x/c + y = 4/c
Now put 6x/c on the right hand side so y is by itself.
y = -6x/c + 4/c
What do you have to do now?
You must equate -6x/c = 3/2x
Why?
The slopes have to be the same so the lines are parallel and never cross. That will give no solutions.
-6x/c = 3x / 2 Divide both sides by x
-6/c = 3/2 Cross multiply
3c = - 6 * 2 Combine
3c = - 12 Divide by 3
c = - 12/3
c = - 4
lines b and c are parallel. no links.
Answer:
Value of x:
[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]
Angle m‹6:
[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]
Answer:
B. 54 degrees
Step-by-step explanation:
Set up an equation that equals 180 degrees because a line is 180 degrees:
(13x+9)+(5x+9)=180
Solve for x:
x=9
Substitute 9 in 5x+9:
5(9)+9
Solve.
54
Since angle 6 is complementary, it is the same as the 7th angle.
So the answer is B, 54 degrees.
Hope this helps!
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of the court that has a diameter of 72 inches. The team can fit 14 people in the circle at one time. How many people can fit on a court?
698,600 people
50,000 people
1296 people
2402 people
Answer:
2402 people.
Step-by-step explanation:
Since a basketball court measures 998 inches on the sides while the baseline stretches 700 inches, and there is a circle in the middle of the court that has a diameter of 72 inches, and the team can fit 14 people in the circle at one time To determine how many people can fit on a court, the following calculation must be performed:
Area of a circle:
3.14 x (72/2) ^ 2 = X
3.14 x 36 ^ 2 = X
3.14 x 1.296 = X
4,069.44 = X
Area of a rectangle:
998 x 700 = X
698,600 = X
4,069.44 / 14 = 290.67
698,600 / 290.67 = 2,402
A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?
Answer:
= 1728km2
Step-by-step explanation:
From the formula A = PRT/100%
Where; A is final
P is initial
T is time taken
R is the rate
Therefore A = 3600 × (6/100) × 8
= 1728km2
Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction
Answer:
[tex]y = 5x + 3[/tex]
Step-by-step explanation:
Given
[tex]y = 3x - 2[/tex]
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Required
The second equation in slope intercept form
We have:
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Divide both sides by 2
[tex]5(x + \frac{3}{5}) = y[/tex]
Open bracket
[tex]5x + 3 = y[/tex]
Rewrite as:
[tex]y = 5x + 3[/tex]
Hence, the equation in slope intercept form is: [tex]y = 5x + 3[/tex]
Answer: I agree with the other person
Step-by-step explanation:
A7. Charlie sales wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
Answer:
$21
Step-by-step explanation:
Find the cost of the wristband that took an hour and a half to make:
2(1.5) + 7
= 10
Find the cost of the one that took 2 hours to make:
2(2) + 7
= 11
Add together the prices:
10 + 11
= 21
So, it will cost $21
modrater give answer
if 27x = 45263514282 than find the value of 200x
═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}} [/tex]
↦ First find the value of x
[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]
↦ Now, find the value of 200x
[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Given that,
→ 27x = 45263514282
Then we have,
To find the required value of 200x.
Before that,
find the required value of x.
→ 27x = 45263514282
→ x = 45263514282/27
→ [x = 1676426454.89]
Now we can,
Solve for the value of 200x.
→ 200x
→ 200 × (x)
→ 200 × (1676426454.89)
→ 335285290978
Hence, 200x is 335285290978.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 60.6°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{HI}[/tex] = [tex]\frac{3.9}{2.2}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{3.9}{2.2}[/tex] ) ≈ 60.6° ( to the nearest tenth )
If the volume of a cubical room is 2700 cm^3 . Find its length
Step-by-step explanation:
If the volume of a cubical room is 2700 cm³ .
l³=2700
l=3 (100)⅓
find area of the figure
thanks for any help
Answer:
8050 m²
Step-by-step explanation:
We can divide the diagram up into two components: a rectangle with a width of 60 m and a height of 80 m, and a triangle with a base of 130 m (190 - 60) and a height of 50 m (80 - 30).
The area of the rectangle:
A = lw
A = 60 m (80 m)
A = 4800 m²
The area of the triangle:
A = 1/2 b*h
A = 1/2 (130 m) (50 m)
A = 1/2 (6500 m²)
A = 3250 m²
Now, we can add the areas of the two separate components:
A = 4800 m² + 3250 m²
A = 8050 m²
Find the value of x. PLEASE HELP ASAP
Hi there!
[tex]\large\boxed{A. \text{ } 7}[/tex]
The following trapezoidal theorem states that:
Middle segment = average of top and bottom side
Thus:
M = 1/2(b1 + b2)
21 - x = 1/2(17 + 11)
Solve:
21 - x = 1/2(28)
21 - x = 14
Subtract 21 from both sides:
-x = 14 - 21
-x = -7
Multiply both sides by -1:
x = 7
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
I dont understand what to do here, can somebody help, please? 4.2 / 6 = ____ tenths / 6 4.2 / 6 ____ tenths
Answer:
sei lá, pergunta pra tua mãe
the ratio of 10:25 in its simplest form?
Answer:
2:5
Step-by-step explanation:
10:25 = 10/25 = 2/5 = 2:5
Answer:
2:5
Step-by-step explanation:
divide both of them by 5
10 divided by 5 is 2
25 divided by 5 is 5
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............
need a help!!!
I need the answer only for the c part
Please help!!
Please answer correctly
Step-by-step explanation:
316 days when you get the idea the most important thing is that the people who are looking for the right reasons why you
Help plsssssss ,it would mean a lot thankyou
Answer:
Part 1;
(0, 0)
Part 2;
(0, 2.5)
Step-by-step explanation:
Part 1
The given system of inequalities is presented as follows;
f(x) < x + 4; f(x) > -x - 3; and f(x) < 5
We check each of the points as follows;
The point (0, 0) in the inequality f(x) < x + 4, gives;
f(0) < 0 + 4
f(0) = 0 < (is less than) 0 + 4 = 4
Therefore, (0, 0) is a solution of the inequality f(x) < x + 4
The point (0, 0) in the inequality f(x) > -x - 3, gives;
f(0) < -0 - 3
f(0) = 0 > (is larger than) -0 - 3 = -3
Therefore, (0, 0) is a solution of the inequality f(x) > -x - 3
The point (0, 0) in the inequality f(x) < 5, gives;
f(0) < 5
f(0) = 0 < (is less than) 5
Therefore, (0, 0) is a solution of the inequality f(x) < 5
The point (-6, 0) in the inequality f(x) > -x - 3, gives;
f(-6) = -6 - 3 = 3
The point (-6, 0) with y = 0 < (is less than) f(-6) = 3, therefore (-6, 0) is not a solution to (not included in the graph of) the inequality f(x) > -x - 3 and therefore to the system of inequalities because at x = -6, the values of f(x) > -x - 3 are larger than 3
The point (-3, 4) in the inequality f(x) < x + 4, gives;
f(-3) = -3 + 4 = 1
The point (-3, 4) with y = 4 < (is larger than) f(-2) = 1, therefore (-3, 4) is not a solution to (not included in the graph of) the inequality f(x) < x + 4 and therefore to the system of inequalities because at x = -3, the values of f(x) < x + 4 are less than 1
The point (4, 6) is not a solution to (not included in the graph of) the inequality f(x) < 5 and therefore to the system of inequalities because f(x) is larger than 5 for all x
Therefore, the point which is part of the solution set of the system of inequalities is (0, 0)
Part 2
The given system of inequalities are, f(x) ≥ 2·x + 2; f(x) ≤ -4·x + 3; and f(x) ≤ 6·x + 5
Plotting the given system of inequalities on MS Excel the point which is part of the solution is given by points which are within the triangular intersection area of the three inequalities, with coordinates, (1/6, 7/3), (-3/4, 1/2), and (-1/5, 19/5)
Therefore, the points, (0, 0), (-2.5, 0) are not solutions because, the y-value of the solution area are all higher than the line y = 0
The point (0. 6.5) is not a solution because the points in the triangular solution area all have x-values lesser than x = 6.5
The point which is part of the solution by examination is the point (0, 2.5) which is a point between the lines y = 19/5 = 3.8, y = 1/2, x = -3/4, and x = 1/6.
1.8 divided by 1,008 I have to have it by tomorrow please help ! And also I have to show all the work so please help me
Answer:
Step-by-step explanation:
1,008/1.8=10,080/18
18)10080(560
90
-
----------
108
108
-
------------
0
---------------
Given 2n-1 x 8^n = 2048, find the value n.
please I need answer right now pleasssseee
Find the lowest common multiple of
A. 12,18,36
B. 9,27,18
please plz plz
Answer:
1.)36
2.)54
Step-by-step explanation:
sana po makatulong gehehe
What is best buy £3.99 5kg or 3.2kg £2. 60?
Answer:
I would say 5 kg because you get more kg with a little bit more money added
Help pls it’s the last day of summer school
family of solutions of the second-order DE y y 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 12. y(1) 0, y(1) e
Answer:
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
Step-by-step explanation:
Given
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y(1) = 0[/tex]
[tex]y'(1) =e[/tex]
Required
The solution
Differentiate [tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
Next, we solve for c1 and c2
[tex]y(1) = 0[/tex] implies that; x = 1 and y = 0
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]0 = c_1 * e^1 + c_2 * e^{-1}[/tex]
[tex]0 = c_1 e + \frac{1}{e}c_2[/tex] --- (1)
[tex]y'(1) =e[/tex] implies that: x = 1 and y' = e
So, we have:
[tex]y' = c_1e^x - c_2e^{-x}[/tex]
[tex]e = c_1 * e^1 - c_2 * e^{-1}[/tex]
[tex]e = c_1 e - \frac{1}{e}c_2[/tex] --- (2)
Add (1) and (2)
[tex]0 + e = c_1e + c_1e + \frac{1}{e}c_2 - \frac{1}{e}c_2[/tex]
[tex]e = 2c_1e[/tex]
Divide both sided by e
[tex]1 = 2c_1[/tex]
Divide both sides by 2
[tex]c_1 = \frac{1}{2}[/tex]
Substitute [tex]c_1 = \frac{1}{2}[/tex] in [tex]0 = c_1 e + \frac{1}{e}c_2[/tex]
[tex]0 = \frac{1}{2} e+ \frac{1}{e}c_2[/tex]
Rewrite as:
[tex]\frac{1}{e}c_2 = -\frac{1}{2} e[/tex]
Multiply both sides by e
[tex]c_2 = -\frac{1}{2} e^2[/tex]
So, we have:
[tex]y=c_1e^x +c_2e^{-x[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^2 * e^{-x}[/tex]
[tex]y = \frac{1}{2}e^x -\frac{1}{2} e^{2-x}[/tex]
There are 35 times as many students at Wow University as teachers. When all the students and
teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend
Wow University?
Given:
There are 35 times as many students at Wow University as teachers.
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
To find:
The total number of students.
Solution:
Let x be the number of teachers at Wow University. So, the number of student is :
[tex]35\times x=35x[/tex]
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
[tex]x+35x=8544-12[/tex]
[tex]36x=8532[/tex]
[tex]x=\dfrac{8532}{36}[/tex]
[tex]x=237[/tex]
The number of total students is:
[tex]35x=35(237)[/tex]
[tex]35x=8295[/tex]
Therefore, the total number of students is 8295.
Complete the transformations below. Then enter the final coordinates of the figure.
A" (,)
B" (,)
C" (,)
HELP! PLZ.
Answer:
Step-by-step explanation:
If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
→ C'(5, -1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1)
Answer:
A"(-6, 3)
B"(-9, 0)
C"(-5, -1)
Step-by-step explanation:
Which relation is a function?
Answer:
the function is the solution is done using the operation
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4
Answer:
C. 4
Step-by-step explanation:
Use the slope formula y2-y1 / x2-x1
6+2/3-1
8/2
4
So, the answer is C. 4.
Which equation has no solution?
Answer:
Step-by-step explanation:
Jazmine they are asking about the absolute value signs, see how that first one has a negative 6 for the solution? well the absolute value of the other side of that equal sign will never be a negative 6 , see now? so that first answer has no solution :)
expand: 4(w - 2)
(with the steps)
Answer:
4w-8
Step-by-step explanation:
4(w-2)
(4*w)-(4*2)
4w-8
Answer:
4w-8
Step-by-step explanation:
4(w - 2)
Distribute
4*w - 4*2
4w-8
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75