LOT OF POINTS
approximate the solutions to this system.
y = 3x2 + x − 6
y = x − 4
Round your answers to the nearest hundredth.
Answers
Answer:
[tex] \displaystyle ( x_{1},y_{1}) = (0.82, - 3.18) \\ ( x_{2},y_{2}) = ( - 0.82, - 4.82)[/tex]
Step-by-step explanation:
we are given a system of quadratic and linear equation
we want to figure out x and y
in other words the coordinates where the linear function intercept quadrilateral function
to do so
you can use substitution method
since y equals to both equation so substitute:
[tex] \displaystyle {3x}^{2} + x - 6 = x - 4[/tex]
move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:
[tex] \displaystyle {3x}^{2} + x - 6 - x + 4= 0[/tex]
simplify addition:
[tex] \displaystyle {3x}^{2} -2=0[/tex]
add 2 to both sides:
[tex] \displaystyle {3x}^{2} = 2[/tex]
divide both sides by 3
[tex] \displaystyle \frac{ {3x}^{2} }{3} = \frac{2}{3} [/tex]
[tex] \displaystyle {x}^{2} = \frac{2}{3} [/tex]
square root both sides:
[tex] \displaystyle {x} = \sqrt{\frac{2}{3} } \\ x = \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]
rationalise the denominator by multiplying √3/√3:
[tex] \displaystyle x = \pm\frac{ \sqrt{6} }{3} = \pm0.82[/tex]
now let's figure out y
substitute the value of x to the linear equation:
[tex]y = \pm0.82 - 4[/tex]
when positive
[tex]y = - 3.18[/tex]
when negative
[tex]y = - 4.82[/tex]
Answer:
(x1,y1) = (0.82, - 3.18)
(x2,y2) = (-0.82, -4.82)
Step-by-step explanation:
Plato gang
Related Questions
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
Solve the equation 2.2x=3
Answers
Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )
Which of the following functions best represents the graph?
f(x) = (x − 2)(x + 1)(x + 2)
f(x) = (x − 1)(x + 1)(x − 4)
f(x) = (x + 2)(x − 1)(x − 2)
f(x) = (x + 1)(x − 1)(x + 4)
Answers
Answer:
f(x)=(x-2)(x+2)(x-4)
*EXTRA POINTS* please answer #5 and #6
Answers
Answer:
5, (0, -2)
6, (4, 9)
Step-by-step explanation:
5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)
Answers
Answer:
point (-2,11) does not lie on the given line
Step-by-step explanation:
To find : Which of the following points does not lie on the line ?
Solution :
To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.
a) Point (1,8)
Line y=3x+5
Substitute x=1 and y=8
8=3(1)+5
8=8
(1,8) point lie on the line.
b) Point (4,12)
Line y=3x+5
Substitute x=4 and y=17,
17=3(4)+5
17=12+5
17=17
(4,17) point does not lie on the line.
c) point (-2,11)
Line y=3x+5
substitute x=-2 and y=11
11=3(-2)+5
11=-6+5
11 is not equal to -1
d) Point(0.5)
Line y=3x+5
Substitute x=0 and y=5
5=3(0)+5
5=5
What is 1/2 in degrees
Answers
Answer:
180
Step-by-step explanation:
half of 360 is 180
Bob flipped a coin and got "heads" 9 times in a row! What is the probability that the next flip will be a "head?"
Answers
Answer:
50/50 chance
Step-by-step explanation:
The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
6 ft
Answers
Answer: I think the answer maybe 12
Step-by-step explanation:
4 x 6 ÷ 2 = 12
A digital board game has 25 squares with 5 squares of each color. The results of 625 games are shown below. Color Frequency Green 119 Orange 130 Pink 126 Violet 114 Yellow 136 For which color is the experimental probability closest to the theoretical probability?
HELP ASAP PLEASEEEEE
Answers
Answer:pink
Step-by-step explanation:
2x+y=7
5x+y=9
solve the system of equations
Answers
Answer:
x=66
y=-57
Step-by-step explanation:
What are the solutions to the equation 3^2 + 6 − 31 = −7? & Explain how you determined your answer
Answers
Answer:
The left side
−
16
does not equal to the right side
−
7
, which means that the given statement is false.
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
9+6-31=-7 -16=-7
Factor out the Greatest Common Factor (GCF): 36y - 16 ?
Answers
Answer: 4(9y-4)
Step-by-step explanation:
36y - 16
4 x 9 is 36
4(9 is just like 36y.
Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )
Answers
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )
Answer:
Vertex is (3,0)
Step-by-step explanation:
Given y= 5x^2 - 30x + 45
y = 5 ( x^2 - 6x + 9)
= 5 ( x -3 )^ 2 + 0
Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)
Here, h = 3 and k = 0
So, Vertex is ( 3, 0)
What is the solution to the inequality? x/2 > 7
Answers
Answer: x > 14
m a th way can help with any similar questions like this !!
What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?
Answers
Answer:
the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.
Step-by-step explanation:
hope this helps
Please help me. I am pretty confused on this
Answers
Answer:
C
Step-by-step explanation:
16's square root is 4
Patrica has a bank balance of -$54 . if she deposit $100 what is her new Balance
Answers
Answer:
56 (positive, not negative)
Step-by-step explanation:
she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.
in other words ;
100+54= 56.
Henceforth , the number 56.
thank you!
Think About the Process Use the algebra tiles to help you solve the equation 4x - 8 = 20. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answers
Answer:
The first step would be canceling out the eight getting you 4x = 28 and the solution would be x = 7
Step-by-step explanation:
To simplify you need to add the eight to itself to cancel it out but you have to do it to the 20 too making it 28. Then you have to divide 28 by 4 getting you 7.
−8
≥ -5 ???????????????????????????
Answers
Answer:
If your asking if it’s true or false then it is false
Step-by-step explanation:
If you want to make it a true statement then it would be -8<-5
Which is the approximate measure of angle ACB?
31.0°
36.9°
53.1°
59.0°
Answers
Answer:
53.1
Step-by-step explanation:
i just took the test
Answer:
53.10
Step-by-step explanation:
The given cylindrical container is used to fill the rectangular prism fish tank with water.
What is the least number of fully cylindrical containers needed to completely fill the fish tank?
Answers
The number of full cylindrical containers needed to completely fill the fish tank is 30.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The volume of a cylinder:
[tex]\rm V = \pi (6/2)^2 (8)[/tex]
V = 72π cubic inches
The volume of cube v = 24×24×12 = 6912 cubic inches
A number of full cylindrical containers are needed to completely fill the fish tank:
= 6912/72π
= 30.55 ≈ 30
Thus, the number of full cylindrical containers needed to completely fill the fish tank is 30.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
Please answer this fill it to least to greatest
Answers
Answer:
7, 7 1/8, 7 3/8, 7 5/8, 7 3/4, 8, 8 1/4, 8 1/2, 8 7/8
Step-by-step explain:
7 is the smallest number in the given numbers. 7 1/8 is the second smallest because 1/8 is smaller than 1/4. You can also think of it like you have a pizza/pie/cake and 1/8 of that cake is 1 piece of the cake that has 8 pieces in total. 1/4 on the other hand is a bigger piece. You can use this information to figure out future problems. 1/4 is the same as 2/8. In other words, 1/4 is equal to 2 slices of pie/cake/pizza/whatever you want it to be because if you take a cake, cut it into 4 pieces, then cut the 4 pieces in half. You will get 8 pieces.
Giving brainlist to whoever answers
Answers
Answer:
B I am 100% sure
Step-by-step explanation:
what are the measures of angle B and D
Answers
Answer:
n=10
Step-by-step explanation:
Which expression is equivalent to 2(3g - 4) - (8g + 3)
Answers
Answer:
4
Step-by-step explanation:
Hope this helps! : )
2(3g - 4) - (8g + 3)
Distributive property
6g - 8 - 8g - 3
Combine like terms
-2g - 11
Answer:
4
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
Whats the maximum value?
Answers
Answer:
66
Step-by-step explanation:
Step-by-step explanation:
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Linear relation questions(someone please help I will give brainliest please)
Answers
Answer:
See belowStep-by-step explanation:
#1Points given:
(4, -6), (-1, 4)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2#2Equation of the line in slope-intercept form:
y = mx + bGiven:
slope, m = -3the y- intercept b = 11The line is:
y = -3x + 11#3The y-intercept is the intersection of the line with the y-axis:
b = -1 as per graphTo find the slope select two points and use the slope formula as shown above.
Points (0, -1) and (1, 1), the slope is:
m = (1 - (-1))/(1 - 0) = 2/1 = 2The line is:
y = 2x - 1Ayden rents skates at the skate park for
$1.25. He also spends $1.75 on snacks
and a drink each time he goes. If Ayden
has $20, which expression shows how
much money Ayden will have left over if
he visits the skate park a times?
A $20 + [($1.25 + $1.75) X a]
B $20 + ($1.25 + $1.75 X a)
c $20 - [($125 + $1.75) X aj
D $20- ($1.25 + $1.75 X a)
Answers
Answer:
C
Step-by-step explanation:
Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 2x^4 – 3x^3 + 2x – 1 and C(x) = x^4 – x^2 + 2x + 3?
Answers
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Given the following functions
R(x) = 2x^4 – 3x^3 + 2x – 1 and
C(x) = x^4 – x^2 + 2x + 3
We are to find the profit function P(x)
P(x) = R(x) - C(x)
P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)
P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3
Collect the like terms
P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3
P(x) = x^4-3x^3+x^2+0-4
P(x) = x^4-3x^3+x^2-4
Hence the required profit function P(x) is x^4-3x^3+x^2-4
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Help me pls
put them from least to greatest
Answers
Answer: -7/10, -0.35, 1/5, 0.95
Step-by-step explanation:
-7/10 = -.7
1/5 = 0.2
Answer:
From least to greatest, the correct order is [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.
Step-by-step explanation:
Since all negative numbers are smaller than positive, you immediately know that [tex]-\frac{7}{10}[/tex] and -0.35 are smaller than [tex]\frac{1}{5}[/tex] and 0.95. The greater the absolute value of a negative number is, the smaller that number is. Because [tex]-\frac{7}{10}[/tex] is -0.7, which has a greater absolute value than -0.35, this means [tex]-\frac{7}{10}[/tex] is the smallest number, and -0.35 is the second smallest number. Since [tex]\frac{1}{5}[/tex] is 0.2 which is smaller than 0.95, the correct order from least to greatest would be [tex]-\frac{7}{10}[/tex], -0.35, [tex]\frac{1}{5}[/tex], and 0.95.