Please help me!
Explain how to use the graphs of systems of equations to state when the system has one solution, no solution, or infinite solutions. Be specific.
Answers
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
__
general caseA system will have one solution if there is a single point of intersection of the graphs of the equations.
A system will have no solutions if the graphs have no points of intersection.
A system will have an infinite number of solutions if the graphs intersect at an infinite number of points.
_____
linear equationsWhen the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
the lines are parallel -- no solutionsthe lines are coincident -- infinite solutionsThe attached graph illustrates these cases.
the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopesthe blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.
Related Questions
Which one??? Please
Answers
Answer:
Step-by-step explanation:
its A
this is because it’s already at a negative angle, you are technically gonna subtract to get the numbers back to the positive side… sorry if it doesn’t make sense -_-
Colin borrowed some money at 7.16%/a compounded quarterly. Three years later, he paid $5000 toward the principal and the interest. After another two
he paid another $5000. After another five years, he paid the remainder of the principal and the interest, which totalled $5000. How much money
did he originally borrow?
Answers
Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.
How do we calculate the original amount using PV formula?To solve this question, the following present value (PV) formula will be used:
PVn = Pn / (1 + r)^n ........................... (1)
Where:
PVn = Present value of an amount paid in year n
P = Amount paid in year n
r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179
n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4
Using equation (1), we can therefore proceed as follows:
PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18
PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45
PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04
Therefore, we have:
Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67
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People from two houses 9,000 feet apart are looking up at a plane that is BETWEEN them. House 1 is west of the plane has an angle of elevation of 17.5 degrees and house 2 is east of the plane and has an angle of elevation that is 18.8 degrees. How far is the plane from House 1?
Answers
The distance between the plane and house 1 is 4899.2 feet
How to determine the distance between the plane and house 1?See attachment for illustration of the question, where x represents the distance between the plane and house 1
Start by calculating the angle A using:
A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)
This gives
A = 143.7
The distance x is then calculated using the following sine theorem
a/sin(A) = b/sin(B) = c/sin(C)
Using the parameters in the diagram, we have:
x/sin(18.8) = 9000/sin(143.7)
Multiply both sides by sin(18.8)
x= sin(18.8) * 9000/sin(143.7)
Evaluate
x = 4899.2
Hence, the distance between the plane and house 1 is 4899.2 feet
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can someone please help me in finding the range
Answers
Answer:
[tex]\{-20, -2 ,13\}[/tex]
Step-by-step explanation:
The range of a function is the set of its possible output values
[tex]f(x) = 3x-8\\\\f(-4) = 3(-4) -8 = -12 -8 = -20\\\\f(2) = 3(2) -8 =6-8 = -2\\ \\f(7) = 3(7) -8 = 21 -8 = 13\\\\\text{Range} = \{-20, -2 ,13\}[/tex]
write the equation for the graph
Answers
Answer:
y=x-4
Step-by-step explanation:
Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)
The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.
Hence, the equation would be y=x-4
Note: I did not have y=1x-4 because 1x is the same as x.
Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°
Answers
No triangles are possible for Options B and D. One triangle is possible for options A, C, and E. Many triangles are possible for option F.
How to interpret Triangles?For it to be a triangle, then it must have 3 vertices and 3 sides with the sum of 2 sides greater than the third side. Also, the sum of interior angles must be 180°.
A) Side lengths of the triangle are; 4 inches, 8 inches and 10 inches.
4 + 8 > 10. Thus, it is a triangle.
B) 60° + 40° + 90° = 190 ≠ 180°
Thus, no triangle is possible because the sum of the angles in triangle is 180°.
C) There are two sides are given and one angle. Thus, from SAS congruency theorem, one triangle is possible.
D) 7 + 5 = 12
There is no triangle possible because the sum of the two sides must be greater than the third side.
E) We are given two angles and one side. Thus, from the ASA Congruency Postulate, one triangle is possible.
F) 60° + 80° + 40° = 180°
There are three angles given, but no sides and so we can say that many triangles are possible.
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Which statements about the graph of the function f(x):
2x²-x-6 are true?
Select two options.
Answers
What are the coefficients in the polynomial 7x2 - 4x + 6?
a. -7,4
b. 7, 4, -6
c. 7. -4,6
d. 7. -4
if i could please get help thank you
Answers
Answer:
7 and -4
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
Evaluate each function at the given value using the remainder theorem.
F(x)=x^4+5x^3-18x+1 at x=-4
Please show work , I give brainliest. :)
Answers
Answer:
9
Step-by-step explanation:
[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]
Can someone help me with this question ?
Answers
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
Helppp
f(x)=-x^2+6x-18
f(x)=−x
2
+6x−18
\text{Find }f(-3)
Find f(−3)
Answers
The equivalent value of the function is x is -3 is -45
Functions and valuesFunctions are written in terms of variables
Given the function shown
f(x)=-x^2+6x-18
In order to determine f(-3), we will substitute x = -3 into the function to have:
f(-3)=-(-3)^2+6(-3)-18
f(-3) = -9 - 18 - 18
f(-3) = -45
Hence the equivalent value of the function is x is -3 is -45
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All tangents to the circle are congruent and form a square. the perimeter of square aceg is 24 cm. a circle is inscribed in square a c e g. points f, h, b, and d of the circle are on the sides of the square. what is the length of line segment bc? 2 cm 3 cm 6 cm 8 cm
Answers
The length of line segment bc is 3 cm. Thus, the correct option is B.
What is a perimeter?Perimeter is the sum of the length of the sides used to make the given figure.
Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.
Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.
BC = AC /2 = 6cm /2 = 3 cm
Hence, the length of line segment bc is 3 cm. Thus, the correct option is B.
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Answer: B (3)
Step-by-step explanation:
According to the ilo, how many people are working by force or under coercion? a. 123,000 b. 1.23 million c. 12.3 million d. 123 million
Answers
The number of people are working by force or under coercion stands at about 12.3 million.
What is the ILO?The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.
According to current statistics from the International Labor Organization, the number of people are working by force or under coercion stands at about 12.3 million.
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Answer:
c. 12.3 million
got it right on edge)))
Add the following values.
(2.1 × 1014) + (1.5 × 1012)
A.
2.1015 × 1014
B.
2.25 × 1012
C.
2.115 × 1014
D.
2.1015 × 1015
Answers
The sum of the numbers is 2.115 * 10^14
How to evaluate the sum?The sum expression is given as:
(2.1 × 10^14) + (1.5 × 10^12)
Express 1.5 as 0.015 * 10^2
(2.1 × 10^14) + (0.015 * 10^2 × 10^12)
Evaluate the product
(2.1 × 10^14) + (0.015 * 10^14)
Factor out 10^14
10^14 *(2.1 + 0.015)
Evaluate the sum
10^14 * 2.115
Rewrite as:
2.115 * 10^14
Hence, the sum of the numbers is 2.115 * 10^14
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Make same exponent
(2.1×10¹⁴)+(0.015×10¹⁴)Use distributive law ab+ac=a(b+c)
(2.1+0.015)×10¹⁴2.115×10¹⁴Option C
g(x) = x3 + 6x2 + 12x + 8
A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.
Determine the function’s value when x = −1.
Answers
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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Answer:
g(-1) = 1
Step-by-step explanation:
[HELP, DUE TOMORROW. WILL GIVE BRAINLIST] What do exponential functions model in the real world? How does the standard equation form of the exponential equation change in each situation?
Answers
Step-by-step explanation:
write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it
A rectangle is rotated 360 around the y axis. What figure will this rotation create?
rectangular prism
rectangular pyramid
cylinder
cone
Answers
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
What figure will give if rectangle is rotated 360 around the y axis?A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.
The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.
According to the question
A rectangle is rotated 360 around the y axis.
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
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can someone do this for me please?! Just the answer pls
Answers
Answer:
I was able to solve questions 2 through 4 using the, "center = (h, k)" formula.
2. (3, -1)
3. (1, 2)
4. (-5, 2)
Hope it helps.
V (x) = x(9-2x) (11-2x)
Answers
The expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
How to expand the expression?The missing information in the question is to express V(x) in standard form
We have:
V(x) = x(9-2x) (11-2x)
Open the brackets
V (x) = x(99 - 2x - 18x + 4x^2)
Evaluate the like terms
V (x) = x(99 - 20x + 4x^2)
Expand
V (x) = 99x - 20x^2 + 4x^3
Rewrite as:
V(x) = 4x^3 - 20x^2 + 99x
Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
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Write And equation of the parabola that has the same shape as the graph of f(x)=5x^2, but with (2,5) as the vertex
Answers
Answer:5*(x-2)^2 + 5
Step-by-step explanation:that would be the answer 5x^2-20x+25
A line has a slope of 5 and passes through the point (0, 3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=[ x +
Submit
Tutorial
Answers
Answer:
y=5x+3
Step-by-step explanation:
in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept. Should the equation pass through (0,3) then the y-intercept is 3, as the y-intercept is where the equation touches the y-axis (when x = 0), and the slope, 5, was already given to us within the problem itself.
When solved for c, the equation is c = k – 273.15 c = 273.15 – k c = k 273.15 c = 273.15k
Answers
The the equation K = C + 273.15 when solved for c is C = K - 273.15
Change of subject of formulaK = C + 273.15
subtract 273.15 from both sidesK - 273.15 = C
Therefore,
C = K - 273.15
Complete question:
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
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Answer:
When solved for C, the equation is
C = K – 273.15
Step-by-step explanation:
2. Rewrite these numerals in words in Nepali as well as in International system. b) 831075280496
Answers
Answer:
eight hundred thirty-one billion seventy-five million two hundred eighty thousand four hundred ninety-six
Step-by-step explanation:
In scientific notation, 8,700 is written:
8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)
Answers
The number 8700 written in scientific notation is 8.7 * 10^3
How to express the number in scientific notation?The number is given as:
Number = 8700
The scientific notation is represented as:
a * 10^b
Where a is between 1 and 10 and b is an integer representing the number of zeros
So, we have:
8700 = 87 * 10^2
Express 87 as 8.7 * 10
8700 = 8.7 * 10* 10^2
Evaluate
8700 = 8.7 * 10^3
Hence, the number 8700 written in scientific notation is 8.7 * 10^3
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Use the interactive protractor to determine the measure of the angle. What is mAngleJHG?
Answers
To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
The angle ∠JHG is found as;
∠JHG = 180°-65°
∠JHG = 115°
The measure of the angle ∠JHG will be 115°.
Hence, option D is correct.
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Answer: 110
Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110
Solve the inequality.
r + 4 - 2(r - 14) >0
Answers
r + 4 - 2r + 28 > 0
-r + 32 > 0
32 - r > 0
-r > -32
r < 32
How would you write 16,340 in scientific notation with 2 significant figures? 16,300 1.63 x 104 16,000 1.6 x 104
Answers
16340 can be written in scientific notation as 1.63 × 10⁴.
What is Scientific Notation?
Scientific Notation is a way of representing large numbers in decimal forms multiplied by the power(exponent) in terms of decimal places. The purpose of representing large numbers in scientific notation is to enable easier calculation.
This means that 16,340 in scientific notation can be expressed as:
= 1.634 × 10⁴
= 1.63 × 10⁴ ( to 2 significant figures)
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Ok 100 points to answer dis question and it very easy i do dis bc i want to give someone points 4 free
wut is 1+1=
Answers
And in base 16 the answer is also 2.
But in base 2 the answer is 10
Answer:
I’m thinking it’s 2 lol thank you so much!!!
Step-by-step explanation:
How many positive two-digit numbers have digits whose sum is a perfect square?
Answers
Answer:
17 two-digit numbers
So, there are 17 two-digit numbers whose sum of digits is a perfect square.
Step-by-step explanation:
hope it helps you and give me a brainliest
The local school board needs to choose whether to build an addition to the elementary school library or remodel the high school basketball court. Which sampling option might the board choose to survey the community?
Why is it important to avoid a smaller sample size?
Answers
Answer:
Don't know the full answer, though I searched it up on brainly and found this:
Hopefully it can help you with whatever you are doing/taking.
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