Which answer best describes the system of equations shown in the graph?
Inconsistent
Consistent and independent
Consistent and dependent
Answers
Answer:
we conclude that the given system of equations is consistent and independent.
Hence, option B is true.
Step-by-step explanation:
From the figure it is clear that the two lines intersect at one point.
In other words, there is only one point of intersection of the given system of equations.
It means the system of equations contains exactly one solution.
We know that If a consistent system contains exactly one solution, it is termed as an independent.
Therefore, we conclude that the given system of equations is consistent and independent.
Hence, option B is true.
Related Questions
please help, would be grateful :)
Answers
Answer:
[tex]\frac{4}{3x-4}[/tex]
Step-by-step explanation:
The first thing we do to solve this is factor is completley
You can factor out a 4 from the numerator and get
4(3x+4)
The denominator is a difference of squares which means that
(x^2-y^2)=(x-y)(x+y)
which means that 9x^2-16=
(3x-4)(3x+4)
Put these together and get
[tex]\frac{4(3x+4)}{(3x-4)*(3x+4)}[/tex]
The 3x+4 cancels out and we get left with
[tex]\frac{4}{3x-4}[/tex]
Mia charges $2.25 per hour when she babysits plus $5.00 for transportation expenses. Write a function rule to represent the amount y Mia charges to babysit for x hours.
A y = 5.00x + 2.25
B y = 7.25x
C y = 2.25x + 5.00
D x = 5.00y + 2.25
Answers
Answer:
c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $94.25 to spend on parking and admission. Parking is $14.75, and tickets cost $13.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Answer: 6
Step-by-step explanation:
From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.
We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:
= 14.75 + 13.25p
Since they've $94.25 to spend, the number of people that can go to the amusement park will be:
14.75 + 13.25p = 94.25
13.25p = 94.25 - 14.75
13.25p = 79.50
p = 79.50 / 13.25
p = 6
6 people can go to the amusement park
Is this right? 2(10×2) + 2(10×3)=2(20)+2(6)+2(30)=40+=112 Square inches.
Answers
Answer:
Yes this is correct
Step-by-step explanation:
Please please please please please help me!!
I have been stuck and i need help please. Im begging you
please help me with B.
Answers
The 2x’s cancel
The answer is -7
Select the expression that is equivalent to 3(2x + 5) − 4x.
Question 12 options:
A. 2x + 15
B. x + 8
C. 2x + 5
D. x + 15
Answers
Because you use the distributive property which equals 6x+15-4x
Then you add like terms so 6x-4x=2x soo 2x+15
Hope this helps
Have a great day/night
x2 - 4x + 4
A trinomial B monomial C binomial D non of these
Answers
Answer:
A
Step-by-step explanation:
A monomial has only 1 term
A binomial has 2 terms
A trinomial has 3 terms
Given
x² - 4x + 4
This expression has 3 terms, that is 4x², - 4x and + 4
It is therefore a trinomial
Write an equation of the line with a slope of — 7 and y-intercept of 1.
Answers
Answer:
y= -7x + 1
Step-by-step explanation:
this is the answer
(The question is in the picture)
Thank you I’ll really appreciate it !!! I really need this
Answers
Explanation:
The slope intercept form is y =mx +b
You start at the middle point and count up 3 until you’re on the same line as the other point and then you count over 1. That is your slope, your mx. Which is 3x (because the 1 doesn’t need to be shown) and the b is 0 meaning the point that is on the Y line. You start at 0 so you don’t need to put that in.
Hellllllllllllllllpllllpppppppppppp mmeeeeeeeeeeee I will give brainlist
Answers
Answer:
least to greatest : -1/10, -0.8, -3, -2, 1/2, 0.8, 7
Answer:
-2,-0.8, -1/10, -2, -3, 7
Step-by-step explanation:
I think this is the right answer, I apologize if its not
what is 16 times 4? help
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
multiplication lol
Dion paid $14.25 for 5
gallons of gasoline. What was the
price per gallon
Answers
Answer:
$2.85
Step-by-step explanation:
your welcome
Answer:
2.85
Step-by-step explanation:
14.25/5 is 2.85
PLEASE HELP ME!!!!
This figure shows △LMN. NZ¯¯¯¯¯¯ is the angle bisector of ∠LNM.
What is LZ?
Enter your answer, as a fraction, in the box.
units
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
A right triangle with vertices labeled as L, M, and N. Side L N is base. Side L M contains a midpoint Z. A line segment drawn through vertex N bisects angle L N M into two parts labeled as L N Z and Z N M. Angles L N Z and Z N M are marked with single arc. Side M L is labeled 5. Side M N is labeled 3. Base L N is labeled 4.
Answers
Answer:
20/7
Step-by-step explanation:
Answer:
20/7
Step-by-step explanation:
Just took a test on the topic
This lesson is about Tangents, and they make no sense. Please help me.
Answers
The radius of circle P is 4, and OP is also a radius of circle P, so OP = 4.
Find the greatest common factor of the
following monomials:
40c4
32c3
Answers
Answer:
Step-by-step explanation:
Cvnnxx nkjcdyggcfxdcvvcwbfjndnd
Solve.
7n + 8 = 71
n =
Answers
Answer:
N=9
Step-by-step explanation:
7n+8=71
7n=71-8
7n=63
N=63/7
N=9
Please help due by 2
Answers
Answer:
f=-4
Step-by-step explanation:
f (-5) = -5 -4
f (-5) + 5 = -5 +5 -4
f = -4
Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a sting of light around. what length of lights should he buy?
Answers
Answer:
78 feet
Step-by-step explanation:
assuming it's the perimeter
25 + 25 + 14 + 14 = 78
The length of the string of the lights is 78 feet.
What is the perimeter of the rectangle?P = 2(l + w), where 'l' is the length of the rectangle and w is the width of the rectangle
For given example,
Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a string of light around.
The length of the string of the lights = the perimeter of the rectangular wooden deck
Here, length of the deck (l) = 25 ft.
width of the deck (w) = 14 ft.
Using the formula of the perimeter of the rectangle,
⇒ P = 2 × (l + w)
⇒ P = 2 × (25 + 14)
⇒ P = 2 × 39
⇒ P = 78 ft.
The perimeter of the rectangular wooden deck is 78 feet.
Therefore, the length of the string of the lights is 78 feet.
Learn more about the perimeter of the rectangle here:
https://brainly.com/question/15287805
#SPJ2
function or not a function?
Answers
Answer:
Function
Step-by-step explanation:
Its a function because it passes the vertical line test
I have 1 die. What is the probability of rolling a 2 or a 4?
Answers
The temperature was -5°F and then fell 8°F. Enter the addition expression that represents the final temperature.
Answers
That is the final temp
Using the (Transforming to Slope-Intercept Form), graph -5x + y = -3
Answers
Answer:
Step-by-step explanation:
On a loan of $32,000 at 7% interest for 6 months, how much do you wind up paying to pay off the loan?
$45,440
$33,120
$32,240
$38,720
Answers
Answer:
45440
Step-by-step explanation:
32,000*6*.07=13440
13440+32,000+45,440
The amount we have to pay at the end of the 6month period will be $33,120. The rate of interest on the loan is given as per annum and therefore; the interest is to be calculated for 6 months.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Calculation of settlement amount of loan:
Given:
Principle= $32,000
Rate= 7%
Tenure= 6 months
Interest is calculated from the following formula;
Interest= Principle x rate x tenure
Therefore the interest for the loan will be;
Interest = $32,000 x 7 x 6 months
= 32,000 x 7/100 x 6/12
= $1,120
The final payment for the loan will be the combination of principal and interest.
Therefore final payment = $32,000 +$1,120
= $33,120
Learn more about the simple interest here;
brainly.com/question/2284847
#SPJ6
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.
75% syrup?
Answers
Answer:
Step-by-step explanation:
Let amount of water in lbs is x
so, mass of solution = mass of water + mass of sugar
= (x + 0.5) lbs
concentration of syrup = mass of sugar/mass of solution × 100
75 = 0.5/(x + 0.5) × 100
or, 75/100 = 0.5/(x + 0.5)
or, 3/4 = 0.5/(x + 0.5)
or, 3x + 3 × 0.5 = 4 × 0.5
or, 3x + 1.5 = 2
or, 3x = 0.5
or, x = 0.167 lbs
hence, amount of water is 0.167 lbs
Answer:
0.167lbs
Step-by-step explanation:
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hope this helps!
have a good day :)
HELP PLEASEE UHM 0=r+4 IM IN 7TH GRADE
Answers
Answer:
r = -4
Step-by-step explanation:
Subtract 4 from both sides, so r = -4
An expression that is equal to 28.3
Answers
Answer:
18+10.3
Step-by-step explanation:
The expression doesn't have to include a variable, so you can pick two random numbers that add up to 28.3. In this case, I used 18 and 10.3. Simple.
Pls help if your good at math marking brainliest
Answers
Answer:
Step-by-step explanation:
6x-1=2x+5+4x-6
separate the variables in one side, numbers on the other side
6x-2x-4x=1+5-6
0=0
one solution
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
VA
Step-by-step explanation:
Angle VYA = 180-94-46 = 40 degrees.
Know that the side length opposite the smallest angle has the smallest length.
VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.
Short (and not very rigorous) proof:
The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X
sin46/YV = sin40/VA
sin46 > sin40, therefore YV > VA.
Help please!!!!!!!!!!!!!!!
Answers
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probability that it will rain on exactly four of the four days they are there? Round your answer to the nearest thousandth.
Answers
Answer:
19.75%
Step-by-step explanation:
Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).
2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%
Therefore the probability would be 16/81 or 0.1975 or 19.75%