Answers
Answer: (-2, -1) and (3, 14).
Step-by-step explanation:
[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]
x² + 2x - 1 = 5 + 3x
x² + 2x - 1 - 5 - 3x = 0
x² - x - 6 = 0
[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]
y = 5 + 3x
y₁ = 5 + 3 * (-2) = -1
y₂ = 5 + 3 * 3 = 14
The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).
Related Questions
PLEASE HELP! CORRECT = BRAINLIEST
There are 5 problems
Answers
Answer:
[tex]2^{16ab}[/tex] for the first one
77 for the second one
the last one is -72x^-5
Step-by-step explanation:
i dont know about the other two, but i hope these answers help
Answer:
Give the person above me a brainliest!
Step-by-step explanation:
They deserve it.
Solve the following simulataneous equations using an algebraic method (not graphical).
2x + 5y = 0
3x-4y = 23
Answers
Given:
The equations are
[tex]2x+5y=0[/tex]
[tex]3x-4y=23[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]2x+5y=0[/tex] ...(i)
[tex]3x-4y=23[/tex] ...(ii)
From (i), we get
[tex]2x=-5y[/tex]
[tex]x=-\dfrac{5y}{2}[/tex] ...(iii)
Putting this value in (ii), we get
[tex]3(-\dfrac{5y}{2})-4y=23[/tex]
[tex]-\dfrac{15y}{2}-4y=23[/tex]
[tex]\dfrac{-15y-8y}{2}=23[/tex]
[tex]-23y=2\times 23[/tex]
[tex]y=\dfrac{46}{-23}[/tex]
[tex]y=-2[/tex]
Putting y=-2 in (iii), we get
[tex]x=-\dfrac{5(-2)}{2}[/tex]
[tex]x=-\dfrac{-10}{2}[/tex]
[tex]x=\dfrac{10}{2}[/tex]
[tex]x=5[/tex]
Therefore, the solution of given system of equation is (5,-2).
which one has a larger volume???
Answers
Answer:
The left one does.
Step-by-step explanation:
While it has the same height as the other one, it is wider, so therefore it has more volume.
I hope this helps!
The graph of y = f(x) is shown below. Find all values of x where f(x) = 0
Answers
f(2) = 0
f(8) = 0
Graphs are used to show the relationship between two variables (usually x and y). The values of x when [tex]f(x) = 0[/tex] are 2 and 8
The graph of y = f(x) is given
To get the values of x when [tex]f(x) = 0[/tex], we simply consider where the line of the graph crosses the x-axis.
The graph crosses the x-axis at:
[tex]x = 2[/tex]
[tex]x = 8[/tex]
This means that the values of x when [tex]f(x) = 0[/tex] are 2 and 8
Read more about graphs at:
https://brainly.com/question/14375099
Helppppppppppppppppppp I’ll mark you brainlist
Answers
Answer:
1
Step-by-step explanation:
you add +6 everytime you up the number :))
Answer:
The missing value of x in this arithmetic sequence is "1"
Step-by-step explanation:
Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.
In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.
From this we know in order to get from x to 7 we added 6, now know this we can make an equation...
x + 6 = 7
And now we just solve it...
x + 6 = 7
x = 7 - 6
x = 1
1
5
5.0,
71
1. -0.3, 4.33, -12, 10001, -12, -2017, 4
From the given numbers, list the numbers that are
(i) positive integers, (ii) negative integers,
(iii) positive numbers, (iv) negative numbers.
Answers
Answer:
positive number
Step-by-step explanation:
because I got it right
PLZ HELP ILL GIVE BRAINLIEST
Answers
You can subtract them regularly
2 1/5
The answer is 2 1/5
Answer:
11/5
Step-by-step explanation:
A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the coast, to the nearest foot, is the island?
Answers
Answer:
937 feet
Step-by-step explanation:
tan32 = x/1500
0.625 = x/1500
0.625*1500 = 937.304
HELP OML I JUS WANT ANSNWER
Answers
Answer:
c....
i think
Step-by-step explanation:
7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4
Answers
Step-by-step explanation:
0 would be your answer
first you combine like terms and get 5a+4 on each side then you have to solve the equation.
Previous 20 Item 20 The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room
Answers
Explanation: w=10*0.6=6 ft.
A=lw
A=10*6=60 square feet.
Answer: 60 feet²
Step-by-step explanation:
The width of the rectangular room is 60% of the length which is 10 feet.
The width is therefore:
= 60% * 10
= 6 feet
The area of a rectangle is calculated by the formula:
= Length * Width
Area there is:
= 10 * 6
= 60 feet²
what is the simplified expression of 4(-w+8)
Answers
Answer:
-4w + 32
Step-by-step explanation:
4 (-w + 8)
= (-4 × w) + (4 × 8)
= -4w + 32
Hope it helps :)
Please mark my answer as the brainliest
Answer:
-4w + 32
Step-by-step explanation:
4 (-w + 8)
= (-4 × w) + (4 × 8)
= -4w + 32
2. What does percent mean?
A.Part of 100.
B.The average cost.
C. Part of 10.
D. Per piece
I’ll give brainiest
Answers
Answer:
option A is correct answer of this question
Answer:
A. Part of 100. Hope this helps.
All of these statements are true EXCEPT which one?
Answers
Answer:
i think its B
Step-by-step explanation:
helppppppppppppppppppppp c/2+5=1
Answers
Answer:
c/2=-4
c=-8
Step-by-step explanation:
Answer:
c = -8
Step-by-step explanation:
Okay, so this is a standard equation, so we have to do the thingy thing on each side:
c/2 + 5 - 5 = 1 - 5
c/2 = -4
c/2 x 2 = -4 x 2
c = -8
So, c = -8
Name the ordered pair for Q
Answers
solve 7 + x ÷ 3 = 2x - 5
Please help me I'm not good with these. :)
Answers
Answer:
12637489494949437727+2+37+3+382883646384949494949944994
Answer:
number 10 and 2.333333333 or you can just make it short 2.33
greatest to least of 2, -1, -2, 0, 1
Answers
Answer:
2,1,0,-1,-2
Step-by-step explanation:
Just find the highest number and start going down.
What is an equation of the line that passes through the point (7,6) and (-2,-3)
Answers
Answer:
y=x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-6)/(-2-7)
m=-9/-9
m=1
y-y1=m(x-x1)
y-6=1(x-7)
y-6=x-7
y=x-7+6
y=x-1
4x^2 − 8xy − 140y^2. Reduce to lowest term
Answers
Answer:
4⋅(x+5y)⋅(x−7y)
Step-by-step explanation:
dggfhjgjjghhghhjj
4 (x² - 2xy - 35y²) ------> 4 (x-7y)(x+5y)
Will took two tests and made an 83% and a 93%. What will he need to make on the next test to have a mean score of 90%
Answers
Step-by-step explanation:
freeee poiintssssssss
How many terms are in the expression below?
23 + 6x + 8
Answers
Answer:
2
Step-by-step explanation:
We have an expression, and are asked how many terms are in it.
When it comes to terms, these are numbers that have different in symbols, such as variables, exponents, e.t.c.
You have :
1. Constants (4 , 7)
2. Variables ( 4x , 7x)
3. Exponents (4^2 , 7^2)
So we see constants, "23 and 8."
Exponents, "6x."
Therefore, there is two terms in expressions.
find the surface area of a cylinder with a height of 9 inches and base radius of 4inches
Answers
Find mZB in the parallelogram.
B
C
51°
A
D
mZBE
Answers
Answer: 129°
m∠A + m∠B =180°
51° + m∠B =180°
m∠B=129°
The angle measure of B in the parallelogram is 129°.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
ABCD is a parallelogram.
And m∠A = 51°.
m∠A + m∠B = 180°
m∠B = 129°
Therefore, the angle measure of m∠B = 129°
To learn more about the parallelogram;
https://brainly.com/question/29133107
#SPJ5
please help!!!!!!!!!
Answers
Answer: $432
Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.
1) m
Find m
pls help
Answers
Answer:
180 degrees.
Step-by-step explanation:
The measure of angle EDC is equal to the sum of the angles of EDQ and QDC.
In this problem, angle EDQ is equal to 30 degrees, and angle QDC is equal to 150 degrees.
So, angle EDC is equal to 150 + 30, or 180 degrees.
Hope this helps!
Which of the following best describes the technique used to graph the equation y = 5x + 10using the slope and y-intercept?
Mark a point at 5 on the y-axis, go up 10 and left one and mark this point.
O Mark a point at 10 on the y-axis, go down 5 and right one and mark this point.
O Mark a point at 5 on the y-axis, go up 10 and right one and mark this point.
Mark a point at 10 on the y-axis, go up 5 and right one and mark this point.
Answers
what's the answer to n+4.5-0.3n-3
Answers
(n - 0.3n) + (4.5 - 3)
2. Simplify
0.7n + 1.5
Final Answer:
0.7n + 1.5
Inigo is a part-time college student who lives at home. His monthly net income is $600. He developed a budget to help him manage his income and expenses. Which action will best help Inigo balance his budget?
Answers
I need more info to answer your question. Can please tell me the answer choices?
Answer:
No action is needed because Inigo has a balanced budget.
Step-by-step explanation:
Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?
Answers
Answer:
They are perpendicular to each other.
Step-by-step explanation:
It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.
Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.
Answer: C they are perpendicular to each other
Step-by-step explanation:
I took the test and got C