How many solutions does this system of equations have?
y = -1/3x + 7
y = -2x^3 + 5x^2 + x - 2
Answers
Answer:
its one solution
Step-by-step explanation:
This system of equations have a unique solution.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The system of equations are
y = -1/3x + 7 ------- (1)
y = -2x^3 + 5x^2 + x - 2 ------- (2)
Equation 1 is a linear equation and equation 2 is a polynomial equation.
So graph these two equations to find the solution.
The graph below shows the plotting of these two equations and
solution of these equations.
From the graph, it is clearly seen that this system of equation has only one solution.
Hence we can conclude that this system of equations have a unique solution.
Learn more about system of equations here
https://brainly.com/question/3183402
#SPJ2
Related Questions
What's the radius of the big cylinder?
Answers
Answer:
I think 56.52
Step-by-step explanation:
To find the radius you'll have to do C=2(3.14)(9)=56.52
Can someone plz help me on this plz
Answers
Area of a trapezoid: A=b1+b2(h)/2
Finding X in triangle
Answers
Answer:
x is 5 cm as the entire base is 10 cm, so 10/2 = 5
-5(m+4)=27? Solve for m.
Answers
Answer:
The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )
14.5 divided bye 9 please
Answers
Answer:
1.61111111
Step-by-step explanation:
calculator
Answer:
1.6111111111.... or 1 11/18
Step-by-step explanation:
Well you just divide
14.5/9
a.( 18:32)
b.(6:36)
c.(9:21)
convert the following ratio to fraction in it's lowest from
Answers
Answer:
Step-by-step explanation:
18 in every 32 (people or whatever it is) 18/32 then simplify i believe
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
Answers
Answer:
An 18-month loan with a 4.75% annual simple interest rate
Step-by-step explanation:
I hope this helps u! :D
Answer:
18 months loan and with a 4.75% annual simple interest rate
Step-by-step explanation:
Find two consecutive even integers who's sum is 34.
Answers
Answer:
Step-by-step explanation:
Let the smaller integer be x
x+x+2 =34
2x+2=34
2x=32
x=16
Smaller even integer = 16
Larger even integer = 16+2 = 18
Answer = 16,18
find the volume of the prism. write your answer as a decimal.
Answers
Answer:
161.21
Step-by-step explanation:
Don't use such phrases here, not cool! It hurts our feelings :(.
what is this i just asked a question and i get this.
Answers
Answer:
true
Step-by-step explanation:
Luke surveyed his friends to see how many minutes it takes each of them to get to school in the moming. The results are in the list below.
6, 11, 14, 4, 8, 8, 10, 9, 14
What is the mean of the data? (Round to the nearest tenth if necessary)
Answers
Answer:
9.3
Step-by-step explanation:
The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.
I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.
Sorry if I'm wrong.
Please mark me as Brainliest.
Ramon paid $3.25 for notepads and $1.80 for markers.
how much of each item did he buy?
notepad cost: $0.65
markers cost: $0.36
Answers
Can someone please help me out with this. I need this done by tomorrow. :(
Answers
Answer:
i got u its UMMMMMMMMMMMMMMMMMMMMM nvm
Step-by-step explanation:
HELPP QUICK PLSS :’( BEFORE I HAVE A BREAKDOWN NO BITS NO LINKS OR ANSWERS TO GET POINTS I REALLY NEED THE HELP AND CHOOSE MORE THAN ONE PLSS Which of the following equations describes the line shown below? Check all
that apply.
(-4, 10)
(-7,-5)
Answers
Answer:
a, c, d
Step-by-step explanation:
answers are A, C and D
Which of the following could be the number shown on the number line?
Answers
Answer:
I believe your answer would be C. square root of 67
Step-by-step explanation:
If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.
Please help I need to pass this
Answers
Answer:
153 units²
Step-by-step explanation:
Area of a Parallelogram: L x W (same as a rectangle)
L x W = A
17 x 9 = A
A = 153
question on picture:
Answers
Answer:
Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))
Step-by-step explanation:
Answer:
B. 34
Step-by-step explanation:
sohcahtoa
tan x = 100/150
tan x = .667
x = 33.7
18 - 2n2 for n = 3
Need help
Answers
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
18 - 2n2 We are gonna be evaluating
Step 2
18 - 2n^2 Substitute n for 3
18-2(3^2)
Step 3
18-2(3^2) simplify
0
So therefore, your answer is 0
Hope this helps
At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year
Answers
Answer:
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Step-by-step explanation:
From the question we are told that
1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]
2nd year sales:[tex]S_2=18.1\%[/tex]
Rocky road sales doubled
Banana sales increased by 50%
Pumpkin sales increased by 20%
Rocky road ice cream had one less percent then banana
Let
Banana =x
Pumpkin=y
Rocky road ice cream=z
Generally the first year equation is given mathematically as
[tex]x+y+z=13......(1)[/tex]
Generally the second year equation is given mathematically as
100% increase in Rocky road ice cream sales()z i.e double
[tex]2*z=2z[/tex]
50% increase in banana ice cream sales()x
[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]
20% increase in pumpkin(y)
[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]
Therefore second year equation is given as
[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]
Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as
[tex]1.5x-2z=1........(3)[/tex]
Therefore combining the three equations
x+y+z=13
1.5x+1.27y+2z=18.1
1.5x-2z=1
matrix form
[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]
Generally the determinant of the first three columns
[tex]\triangle=1.8[/tex]
Solving with Crammers Rule by solving Determinant when;
Column 4 replace column 1
[tex]\triangle_1=5.8[/tex]
Column 4 replace column 2
[tex]\triangle_2=14.15[/tex]
Column 4 replace column 3
[tex]\triangle_3=3.4[/tex]
Therefore x is given my
[tex]x=\frac{\triangle_1}{\triangle}[/tex]
[tex]x=\frac{5.8}{1.8}[/tex]
[tex]x=3.22[/tex]
Therefore y is given my
[tex]y=\frac{\triangle_2}{\triangle}[/tex]
[tex]y=\frac{14.15}{1.8}[/tex]
[tex]y=7.86[/tex]
Therefore z is given my
[tex]z=\frac{\triangle_3}{\triangle}[/tex]
[tex]z=\frac{3.4}{1.8}[/tex]
[tex]z=1.89[/tex]
Therefore
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Please help me find the answer for ABE ASAP plss!!
(Do not put links!!!)
Answers
Answer:
122
Step-by-step explanation:
The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.
Marco’s Pizzeria is having a special: 5 pizzas for $25. What is the unit price?
Answers
Answer:
The unit price would be $5 per pizza
Step-by-step explanation:
A restaurant wants to study how well its salads sell. The circle graph shows
the sales over the past few days. If 5 of the salads sold were garden
salads, how many total salads did the restaurant sell?
The restaurant sold salads over the past few days.
Answers
Answer:
20 total salads
Step-by-step explanation:
If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.
40 points. Factor the following polynomial.
49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor
Answers
Answer:
A
Step-by-step explanation:
49y² - x² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
49y² - x²
= (7y)² - x²
= (7y - x )(7y + x) → A
Elijah went to the store and bought a pack of note cards for $3.80. If the tax was 7%, how much did he pay for the note cards?
Answers
Answer:
4.066
Step-by-step explanation:
7% of $3.80 = 0.266
Tax = 0.266
0.266 + 3.80 = 4.066
Hope this helps!! Have a great day and remember, you are loved.
help please i’ll really appreciate it
Answers
Answer: I believe its 64 cubic in
Step-by-step explanation:
pleaseee help
The answer choices for number 2 is and the answer choices for number 1 is in the photo
1. Has no relation
2. Is the vertical angle to the corresponding angle
3. Is the corresponding angle
4. Is an alternate exterior angle
Answers
A 1 11-unit by 3 33-unit rectangle is shown below. 3 3 1 1 What is the area of the shaded rectangle?
Answers
*See attachment for the diagram
Answer:
Area of the shaded rectangle = 1.5 units²
Step-by-step explanation:
Area of a rectangle = Length × Width
The width of the shaded rectangle = ½ of 1 = ½ unit
Length of the shaded rectangle = 3 units
Therefore,
Area of the shaded rectangle = 3 × ½ = 1.5 units²
Answer:
1.5 units (I think )
Step-by-step explanation:
Pleas help! this is very hard!
Answers
Answer:
190
72
36
Step-by-step explanation:
Answer:
190
72
36
hope that helps
Help me with this!!!!
Answers
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }[/tex]
with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (3, 8)
d = [tex]\sqrt{(3-6)^2+(8-4)^2}[/tex]
= [tex]\sqrt{(-3)^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Answer:
5
Step-by-step explanation:
Does the graph represent a function?
yes or no
Answers
Answer:
no
Step-by-step explanation:
