Answer:
C) 240ma
Step-by-step explanation:
If the equation ax = b is consistent, then its solution set is obtained by translating the solution set of ax = 0. true or false?
True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.
What is consistent?A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.
Some key features regarding the consistent are-
A system is said to be consistent if it has at least one solution.A consistent system is independent if it has exactly one solution.It is dependent if a consistent system does have an infinite number of solutions. When the equations are graphed, they constitute the same line.A system is considered to be inconsistent if it has no solution. Because the line graphs do not intersect, the graphs are parallel, and that there is no solution.Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.
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Tutorial D
If x = 0 and y < 0, where is the point (x, y)
located?
◄))
on the x-axis
on the y-axis
please help me im begging ANYONE
Answer:
B
Step-by-step explanation:
Answer B is the result of simplifying
6/X + 9 if x = 3
pls help me
answer:
6/x + 9 = 11
explanation:
6 div. 3= 2
2+9=11
YALL IS ANYONE WILLING TO SOLVE MATH?
Answer:
A = 1160
B = 1160 is already in standard form.
C = 1200
A student increased in height from 1.52m to 1.68m, calculate the percentage increase (show your working)
The percentage increase in the student's height is 10.52%.
Here we are given that a student's height increases from 1.52m to 1.68m.
Thus, the absolute increase in the student's height will be-
1.68 - 1.52 = 0.16 meters.
Now, we need to find the percentage increase in the student's height.
The formula for calculating percentage increase is given by-
Percentage increase = change in value/ initial value * 100
Here, the change in value is 0.16 meters and the initial value is 1.52 meters.
Thus, percentage increase in height = 0.16 / 1.52 *100
= 1600/ 152
= 400/ 38
= 200/ 19
= 10.52%
Thus, the increase in the student's height is 10.52%.
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What is the answer to this problem?
4 less than a number n is −15 in eqation form
Answer:
n - 4 = - 15
Step-by-step explanation:
Hope this helps :)
11. Suppose you write and solve an equation to determine the amount of money m you have in your bank
account after several weeks. You find that m = -36. Choose any of the following interpretations of this
value which are correct.
The bank owes you $36.
The account has a balance less than $0.
You overdrew on the account by $36.
The account has a positive balance.
Answer:It means you would have spent $36 below zero and now you owe the bank some money
Step-by-step explanation:
#12: m∠GKH = ____
need the answer
6 minus a number minus 11
Answer:
In equation form it should be: (6-x) -11
Step-by-step explanation:
BOOM!!! Your Welcome
These numbers form an addition and subtraction fact family.
4, 2, 6
Choose the fact family formed by these numbers.
OA 2+6=8
8-6=2
2+2=4
4-2=2
OB. 2+4= 6
6-4=2
OC 4+2=6
6-2=4
OD. 4+2=6
6-2=4
2+4=6
6-4=2
The correct family is option D.
To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.
The numbers given here are 4,2 and 6.
We can see here that on adding 4 and 2 we get 6;
4+2=6
And on subtracting 2 from 6 we get 4;
6-2=4
Also we can see here that on subtracting 4 from 6 we get 2;
6-4=2.
These three relations are true for the given numbers.
And we can see that option D clearly fits the answer.
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Verify that y=e^xy is an implicit solution of the differential equation (1-xy)y'=y^2
Yes, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2
Here,
The differential equation (1-xy)y' = y^2
And, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2.
What is Differential equation?
A differential equation is a mathematical equation that relates some function with its derivatives.
Now,
To show y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2, we have to find the solution of differential equation.
The differential equation is;
[tex](1-xy)y'=y^2\\\\\\\\[/tex]
[tex](1-xy) \frac{dy}{dx} = y^2[/tex]
[tex]\frac{dx}{dy} + \frac{x}{y} = \frac{1}{y^{2} }[/tex]
It is form of [tex]\frac{dx}{dy} + Px = Qy[/tex],
Where, P is the function of y and Q is the function of x.
Hence, Integrating factor = [tex]e^{\int\limits {\frac{1}{y} } \, dy} = e^{lny} = y[/tex]
The solution is;
[tex]x y = \int\limits {\frac{1}{y^{2} }y } \, dy + c[/tex]
[tex]xy = lny + c[/tex]
Take c = 0, we get;
[tex]xy = lny\\\\y = e^{xy}[/tex]
Hence, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2
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Consider the set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters (inclusive).
In the situation above, the domain is [Select] and the range is [Select].
The domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The range is going to be a set of real numbers from 0 to 6.
What is the range and domain?The domain of a function is the set of input values that we are allowed to plug into our function. This set is the x-values in a function.
The range of a function is the set of output values that the function assumes.
Now, we are told that there is a set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters
Now, from conversions, we know that 1 quarters is equal to 0.25 dollar.
Thus, the domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The maximum output value will be; 1.5/0.25 = 6
Meanwhile, the range is going to be a set of real numbers from 0 to 6.
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square root method 5x+9=134
Answer:
Step-by-step explanation:
What are you trying to find? If you want to find x then:
5x = 134 - 9
5x = 125
x = 25
if you want square root then,
x = √625 or
x = 5^2
Graph the equation y=-x^2-12x-35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex
Please check the image attached aside with the graph of the quadratic equation.
How to graph a quadratic equation by matching three pointsIn this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:
- x² - 12 · x - (35 + y) = 0
x² + 12 · x + (35 + y) = 0
12² - 4 · 1 · (35 + y) = 0
144 - 4 · (35 + y) = 0
144 - 140 - 4 · y = 0
4 · y = 4
y = 1
- x² - 12 · x = 36
x² + 12 · x + 36 = 0
(x + 6)² = 0
x = - 6
The vertex of the quadratic equation is (x, y) = (- 6, 1).
Second, calculate the roots of the quadratic equation:
- x² - 12 · x - 35 = 0
x² + 12 · x + 35 = 0
(x + 5) · (x + 7) = 0
The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).
Third, determine the y-intercept of the quadratic equation:
y = - 0² - 12 · 0 - 35
y = - 35
The y-intercept of the quadratic equation is (x, y) = (0, - 35).
And fourth, find another point by evaluating the quadratic equation:
y = - 1² - 12 · 1 - 35
y = - 48
The remaining point is (x, y) = (1, - 48).
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Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.
Answer:
9/7
Step-by-step explanation:
9 red for every 7 blue can't be reduced
Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?
Answer:
43
Step-by-step explanation:
800 × 8% × (8/12)
Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply.
2x? + 1x100 + 9x10
A.1,000
B. 10 to the 4th power point
C. 100,000
D. 10 to the 3rd powerpoint
E. 10,000
The option that would complete the given expression is; Option B: 10 to the fourth power
How to write a number is Expanded Notation?
We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.
This can be broken down as;
20,190
This can be broken further down into;
20000 + 100 + 90
Writing in expanded notation gives;
(2 * 10⁴) + (1 * 10²) + (9 * 10¹)
Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power
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The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
The transformed equation is:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
What is the equation?We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.
Remember that for a random function f(x), a shift of 2 units to the left is written as:
h(x) = f(x + 2).
Then, in this case, we can write:
F(x) = G(x + 2)
Replacing G(x), we can get the transformed equation:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
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Directions: Determine whether each relation is a function. Explain your answer.
7) No, y has two different values when x = -1.
8) Yes, each value of x maps onto only one value of y.
9) Yes, each value of x maps onto only one value of y.
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed
2(multiplicity 2) 5+i (multiplicity 1)
The polynomial function will be y = (x⁴-14x³+70x²-144x+104)
2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.
Thus, the general form of the polynomial will be given as:
y = (x-2)² (x-(5+i)) (x-(5-i)) [as (5-i) is conjugate of (5+i)]
y = (x²+4-4x) (x-5-i) (x-5+i)
y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)
y = (x²-4x+4) (x²-10x+25+1) [as i²= -1]
y = (x²-4x+4) (x²-10x+26)
y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)
y = (x⁴-14x³+70x²-144x+104)
Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)
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Find the exact equation of the function graphed to the right. Show your work. Vertex: (-2,4) x intercepts:(-5,0) (1,0) y intercept (0,2)
The equation for the parabola Is; y = -²/₅[(x + 5)(x - 1)]
How to Interpret a Quadratic Graph?
We are given the following;
x-intercepts = (-5,0) and (1,0)
y - intercept = (0, 2)
We know that the x-intercepts are the roots of the quadratic equation while the y-intercept is the value of y when x is zero.
Thus;
(x + 5) and (x - 1) are factors of the given quadratic equation.
f(x) = a(x + 5)(x - 1)
At y-intercept of (0,2), we have;
a(0 + 5)(0 - 1) = 2
a = -2/5
Thus we can write the equation for the parabola as;
y = -²/₅[(x + 5)(x - 1)]
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Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?
Equation:
Solution:
Final Answer:
???
The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
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one of the subsets of set n and set g is a Ø true or false?
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
An empty set is subset of each and every possible set, as it has no elements in it, which is why the given statement is " True "
Lcm and gcf of 40 and 48 (need a solution)
Answer:
LCM = 240
GCF = 8
Step-by-step explanation:
Least common multiple (LCM) is the smallest number that both 40 and 48 go into
Greatest common factor (GCF) is the largest number that can go into 40 and 48.
(write each as an algebratic expression) a cubed is equal to 31
What is 54 as a percentage of 216?
%
Answer:
54 as a percentage of 216% is 116.64.
Step-by-step explanation:
100% of 54 is 54 so 54 x 2 would be 108. We have solved 200% of it now for the 16%. The percentage of 54 of 16% would be 8.64. Now add up all we have learned.
108 + 8.64 = 116.64
What is the answer to this-
Answer:
n = -0.4, or n = -2/5.
Step-by-step explanation:
They are the same btw.
A car travels 100 meters in 5 seconds. What is the speed of the car?
speed = distance over time; 1 mile = 1609 meters
Answer:
20 m/s
Step-by-step explanation:
speed = 100m /5s = 20 m/s
= 72 km/hr
= 72 km / hr * 1 mile / 1.609 km = 44.7 mph