How many solutions exist for the system of equations graphed below?
a.) none
b.) one
c.) two
d.) infinitely many
Answers
Answer:
one
Step-by-step explanation:
When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.
If the two lines cross once, there is only one solution.
If the two lines are on top of each other then there are infinitely many solutions.
If the two lines are parallel ( and never touch ) then there are no solutions
By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.
Detailed Explanation:
For the graph of a system of linear equations :-
• If the lines are parallel, then the pair of equations has no solution
• If the lines are coincident, then the pair of equations has infinite solutions
• If the lines are intersecting, then the pair of equations have one solution.
In this graph, the lines formed by the equations are intersecting at a point. Hence it has a unique solution.
Related Questions
What is the sign of m/n X (-m X n squared )
positive
Negative
zero
Answers
Step-by-step explanation:
mx=n
⟹x=mn
Since m and n are both negative, x=mn will be positive.
Hence, the solution of mx=n will be a positive number.
other sulotion :-
Joshua has a ladder that is 15 feet long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 feet above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78 degrees. Will the ladder be safe at this height? Show your work and label the diagram
Answers
Answer:
Step-by-step explanation:
can someone help me with this problem? thank you!
Answers
Answer:
When 6x - 4 = 8, x = 2.
Step-by-step explanation:
6x - 4 = 8
Add 4 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Proof:
6x - 4 = 8
Substitute variable.
6(2) - 4 = 8
Multiply 6 and 2.
12 - 4 = 8
Subtract 4 from 12.
8 = 8
Answer:
x is 2
Step-by-step explanation:
Simplify equation
What happens to one side must happen to the other
Add 4 to both sides
This tells us 6x is 12
Divide both sides by 6
X is 2
Two socks are selected at random from a draw of loose socks- there are 4 green socks and 6 yellow socks
What is the probability that two of the socks will both be green if the socks are drawn without replacement
Answers
Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that the values of the parameters are:
N = 10, k = 4, n = 2.
The probability that both are green is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]
0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
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1 pound is equivalent to ____ grams.
Answers
Answer:
1 pound is equivalent to 453.59237 Grams.
✎let's answer it :3
☟ answer
-> ( 453.59237 grams )
hope it helps
by #galadohannadivine29I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.
day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477
what is the mean distance ling travels each day? show your work.
Answers
Answer:
221.16
Step-by-step explanation:
Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.
Answer:
189.57 miles per day.
Step-by-step explanation:
I took the test
Omar keeps track of the number of people inside a music hall to attend a concert by
looking at the number of scanned tickets. He plotted the data on the graph below,
where z 0 represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x= 3
Answers
Answer:
Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/
x² + 8x = 10 solve this quadratic equation by completing the square
Answers
given f(x)=5(4-x) what is the value of f(-7)
Answers
So we replace "x" with the necessary value (-7):
[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]
[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]
[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]
[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]
Answer:[tex] \boxed{ \bold{55}}[/tex]
MissSpanishPlease Help! The value of x is:
Answers
Answer:
9
Step-by-step explanation:
5*x=15
X=3
3*3=9
[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]
[tex]\\ \rm\dashrightarrow 5x=45[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]
[tex]\\ \rm\dashrightarrow x=9[/tex}
Use the diagram to answer the question
Answers
Step-by-step explanation:
cos(a) = 1/2 or 0.5
that means a = 60°
the cosine value is the x coordinate, the sine value the y coordinate.
so, only an answer with 1/2 as x coordinate can be right.
and therefore, the 4th answer (bottom right) is correct.
Class A has 26 pupils and class B has 14 both classes sit the same maths test . The mean score for class A is 66 the mean score for both classes is 66. What is the mean score in maths test for class B
Answers
Answer:
66
Step-by-step explanation:
this is actually an almost trick question because it wants to confuse you!
Here's the trick
to work out a mean (average) you add all the components together then divide by the amount of groups.
but here they didn't give you components just the mean of the classes...both of them.
the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"
so this means that Class B's mean score is 66 too
hope this helps
If Q, DE=FG. Which must be true? Select all that apply.
Answers
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.
What is the Product?
Answers
The given,matrix is [1 -4 5 -7] Thus, the correct option is A [3 -12 15 -21].
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
The given, a matrix is
[1 -4 5 -7]
The product will be
3. [1 -4 5 -7]
[3 -12 15 -21]
Thus, the correct option is A [3 -12 15 -21].
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Can someone help with number 4. I will reward brainliest.
Answers
Answer:
theta = pi/6 and
theta = 5pi/6
Step-by-step explanation:
see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.
Let's simplify the problem down a little:
⇒ set 'sin(θ)' as x
⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]
Now let's solve this equation as a quadratic:
[tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]
Now set the x value of '1/2', to sin(θ)
it can't be -3, because trig functions can't equal a negative numbersin(θ) = 1/2
θ = π/6, which is between the range given
Answer: π/6
Hope that helps!
I need help with area
The question 5 and 6
Answers
hb/2 where h is height and b is base so
5: (5.4)(8.5)/2=22.95 yds
6: (5.1)(8.6)/2=21.93 ft
what type of parent function is f(x) = |x|
Answers
Answer: Absolute value function
The type of parent function is f(x)= |x| is Absolute valued function
What is Absolute valued function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Given function:
f(x)= |x|
As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.
The above property perfectly resemble the absolute valued function.
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What is the mean, median, and mode for this set of data:24, 20, 26, 24, 21?
Answers
Answer:
Mean = 23
Median = 24
Mode = 24
Step-by-step explanation:
Mean: The sum of all data values divided by the total number of data values.
⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23
Median: The middle value when all data values are placed in order of size.
Ordered data values: 20, 21, 24, 24, 26
⇒ Median = 24
Mode: The most frequently occurring data value.
20, 21, 24, 24, 26
⇒ Mode = 24
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE
Answers
Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.
Which route is shorter for Maria?If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.
If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.
The difference is:
= 15 - 13
= 2 km
A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.
3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.
A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."
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Answer:
2KM
Step-by-step explanation:
The measure of angle Q is 70 degrees. Find the measure of angle p
Please answer quick please! 30 points
Answers
Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.
A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
Each part of the whole fraction bar is equal to one-seventh.
The shaded portion of the fraction bar represents a unit fraction.
The shaded portion of the fraction bar represents .
Each part represents a unit fraction.
Answers
The statements that describe the fraction bar diagram shown are:
B. Each part of the whole fraction bar is equal to one-seventh.
C. The shaded portion of the fraction bar represents a unit fraction.
E. Each part represents a unit fraction.
What is a fraction bar?A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.
Here, each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.
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brainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z
Answers
Answer:
x = 90°
y = 40°
z = 40°
Explanation (Concepts) :
A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.
Workouts:
z + 90° + 50° = 180°
z = 180° - 90° - 50°
z = 40°
=================
x + 90° = 180°
x = 180° - 90°
x = 90°
==================
50° + 90° + y = 180°
y = 180° - 90° - 50°
y = 40°
Answer:
x = 90°y = 40°z = 40°Step-by-step explanation:
x = 90°
…………………
y = 90 - 50
= 40°
……………………………
z = 180 - (50 + 90)
= 180 - 140
= 40°
Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
Answers
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction
Answers
The probability of randomly selecting a tree or a flower is 8/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)
8/30 + 8/30 = 16/30 = 8/15
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A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.
Answers
Answer:
c
Step-by-step explanation:
the -2 causes a shift 2 units right
Find the y-value when x = -5 for the equation y = -3x
Answers
Answer:
y=15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
f(-2)for the function f(x)=3x-1
Answers
Step-by-step explanation:
From what I know
3x-1=0
3*(-2)-1=0
-6-1=0
=-7.
I'm not sure but u can try it.
The value of f(-2) in this function is f(-2) = -7
To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.
First we multiply or divide, then add or subtract.
Resolutionf( x ) = 3x - 1
f(-2) = 3 · (-2) - 1
f(-2) = -6 - 1
f(-2) = -7
So, the alternative value is f(-2) = -7
answer the question below, will give brainliest to first answer
Answers
Answer:
deductive reasoning
Step-by-step explanation:
it is based on what is true based on what happened before
Answer:
2 option, deductive reasoning
Step-by-step explanation:
based on true events
no solution, one solution, or infinitely many solutions?
Answers
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
When does an equation have one solution, no solution or infinitely many solutions?A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.
A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term
A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.
Analysis:
8v + 3 -4v = 4v + 5-2
4v +3 = 4v+3
The equation has an infinitely many solutions
7v-11 = 7v+11
7v-7v = 11+11
0v = 22
The equation has no solution since the coefficient of the variable term is 0
3(v-4) = 2(v-6)
3v -12 = 2v - 12
v = 12-12 = 0
The equation has one solution
5(2v+3) -2 = 12v + 12-2v
10v+15-2 = 10v +12
0v = -1
The equation has no solution.
In conclusion,
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
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A square has a perimeter of 64 yd. What is the length of each side?
Answers
[tex]\huge\sf\color{red}{Answer:}[/tex]
Formula:
To get the length of each side just divide it by 4.Lets solve : )
64 ÷ 4 = 16.So the answer would be [tex]\large\sf\color{red}{16}[/tex]