Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?
Marla was given the point (1,3), (2, 1), and (-2, -15). She was asked to find a quadratic function that fit these 3 given
points. Marla created a system of three equations with three variables to solve the problem and then used the
matrix functions on her graphing calculator to find the equation. Which equation can be written given these 3
points?
The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].
A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:
[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable[tex]i[/tex] - Monomial index[tex]c_{i}[/tex] - i-th coefficientTo determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.
If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:
[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)
[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)
[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)
The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].
To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472
which of the following is would most likely negatively affect a person’s net worth
Step-by-step explanation:
Net Worth
Your assets are anything of value that you own that can be converted into cash. Examples include investments, bank and brokerage accounts, retirement funds, real estate and personal property (vehicles, jewelry, and collectibles)—and, of course, cash itself. Intangibles such as your personal network are sometimes considered assets as well. Your liabilities, on the other hand, represent your debts, such as loans, mortgages, credit card debt, medical bills, and student loans. The difference between the total value of your assets and liabilities is your net worth.
a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.
b) work out the highest common factor of 63 and 105.
63 as the product of prime numbers is 3 x 3 x 7.
The highest common factor of 63 and 105 is 21.
Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.
Factors of 63 are: 1, 3, 7, 9, 21, and 63
Prime numbers that are products of 63 = 3 x 3 x 7
The factor of a number is a number that can divide another number without leaving any remainder.
Factors of 63 = 1, 3, 7, 9, 21, and 63 Factors of 105 = 1, 3, 5, 7, 15, 21, 35 and 105.Common factors = 1, 3, 7, 21 Highest common factor = 21To learn more about prime numbers, please check: https://brainly.com/question/4184435
Find the slope of the line containing the points (3,2) and (6,9).
Answer:
7/3
Step-by-step explanation:
A. -5
B.-1/5
C.1/5
D.5
Answer:
b
Step-by-step explanation:
my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.
my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is
Answer:
x² * -1/2,
x² + 3
Step-by-step explanation:
The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.
Two expressions that will never return the same output are 2x - 1 and 2x - 3
How to determine the expressions?Assume the expressions are linear functions
A linear function is represented as:
y = mx + c
For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts
Take for instance 2x - 1 and 2x - 3
Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3
Read more about expressions at:
https://brainly.com/question/723406
#SPJ2
please help me with this
Answer: 3Z
Step-by-step explanation:
32-?-10+4=16 what is the missing number?
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
ophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x. Words Minutes 9595 1010 114114 xx You must answer all questions above in order to submit. attempt 1 out of 2 Christopher Vargas Tables of Equivalent Ratios (Guided) Dec 10, 9:21:57 AM Watch help video Sophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x.
Answer:
12 minuts
Step-by-step explanation
If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.
base five to decimal base
Answer:
Below.
Step-by-step explanation:
Here's an example.
What is 123 in base 5 converted to decimal.
123 base 5 = 3 * 5^0 + 2*5^1 + 1 * 5^2
= 3 + 10 + 25
= 38 in decimal.
y = 6x - 4 when x = -7
Answer:
It's - 28
Step-by-step explanation:
6*-7=-42-4=-28
Answer:
y is -46
Step-by-step explanation:
y= 6x -4 ....means
y =6 *x -4......so replace x with -7
y = 6*-7 -4
y=-42 -4
y= -46
Will give brainly,5 stars,and thank if it CORRECT
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
Slope= -1/2 Y-intercept =4
Answer:
no I'm pretty sure it's wrong
Step-by-step explanation:
the y intercept for that to right us -4
Can someone please help me <3
Answer:
x = 9
Step-by-step explanation:
10 + x/3 = 13
x/3 = 13 -10
x/3 = 3
x = 3*3 = 9
Answer:
9
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 10 from both sides of the equation:
[tex]\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3[/tex]
Next, isolate the variable, x, by multiplying 3 to both sides of the equations:
[tex](\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9[/tex]
~
MATH WILL YOU PLEASE HELP!
Answer:
I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .
the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?
plz its urgent
Answer:
The ratio of their radius is [tex]2:3[/tex]
Step-by-step explanation:
Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height
We have
The heights of two cylinders are in the ratio of [tex]5:3[/tex]
[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]
The volume are in the ratio [tex]20:27[/tex]
[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]
The ratio of their radius is [tex]2:3[/tex]
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues. How much will a member pay if they attend 15 dances during the school year.
Answer:
$110
Step-by-step explanation:
So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.
15*4=$60
However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.
PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.
1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3
Answer:
y = 3
Step-by-step explanation:
The triangles are congruent by AAS.
Sides 5y and 3y + 16 are congruent by CPCTC.
5y = 3y + 6
2y = 6
y = 3
Which of the following is equivalent to the expression below? (2^5)(2^6)
(A) 2^11
(B) 2^30
(C) 4^11
(D) 4^30
Answer:
(A) 2^11
Step-by-step explanation:
Factor completely.
121x^2 – 144
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
Which expression is equivalent lo the following complex fraction?
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope this helps you !!Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form
Answer:
y = -3/2x + 2
Step-by-step explanation:
Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.
y = 2/3x + 8 becomes
2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.
2 = 0 + b
b = 2
So put the whole equation together
y = -3/2x + 2
PLEASE HELP QUESTION IN PICTURE
Answer:
y= 1/3x + 3
Step-by-step explanation:
Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.
Answer:
Let the radius of the circumscribed circle be r.
The formula for calculating the radius r is
r
=
Δ
s
Where
Δ
is the area of the triangle
s
is the semi-perimeter.
s
for any triangle is calculated as
s
=
a
+
b
+
c
3
Where,
a
,
b
,
c
is the sides of the triangle
Δ
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
(Heron's Formula)
Plug in the values and get the answer.
Once you have the radius, you can easily find out the area of the circle.
Step-by-step explanation:
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
Number: (10,7) and (1,2)
Drags And Drops:5/9, -7/8, 2/7, 6/7, 5/7
Answer:
5/9.
Step-by-step explanation:
The slope is the difference in y-values divided by corresponding difference in x-values.
So here:
Slope = (7-2)/(10-1)
= 5/9.
Given: 3(7x-9)-19x=-15
Prove: x=6
Step-by-step explanation:
3(7x-9)-19x = -15
21x-27-19x = -15
2x-27 = -15
2x = -15+27
2x = 12
x = 6
prove x = 6
Substitute x=6 into the equation.
3(7(6)-9)-19(6) = -15
3(42-9)-114 = -15
3(33)-114 = -15
99-114 = -15
-15 = -15 True✓
thirty tickets were sold for a concert, some at 60 cent and the rest is at $1. If the total was raised to $22, how many had the cheaper tickets.
Answer:
20
Step-by-step explanation:
To solve this question we can use a system of linear equations. The 2 equations should represent- 1) the number of total tickets sold and 2) the total amount raised. So, the two equations look like this (in this situation, let x stand for the cheaper tickets and y for the more expensive ones).
x+y=300.6x+1y=22Then, there are multiple ways to solve this including graphing, elimination, and substitution. In my opinion, substitution is the best for this situation.
Firstly, isolate the y variable in the first equation
y=30-xNext, plug in this value for y in the second equation
0.6x+(30-x)=22Then, solve this equation algebraically
x=20Since x stands for the cheaper tickets, we know that 20 people bought the cheaper tickets.