Answer:
y= 1/3x - 4
Step-by-step explanation:
hope this helps
Solve for y: 2x^2+2y=4x+2x^2-7. Show your work
Answer:
y = 2x - 3.5
Step-by-step explanation:
2x² + 2y = 4x + 2x² - 7
2y = 4x + 2x² - 7 - 2x²
2y = 4x - 7
y = (4x - 7) / 2
y = 2x - 3.5
2x² + 2y = 4x + 2x² - 7
4x + 2y = 4x + 2x² - 7
4x + 2y = 4x + 4x - 7
4x+2y=8x-7
2y = 4x - 7
Write the
following in
slope-intercept
form:
7x - 2y = -6
2y = 7x + 6 or the simplified version would be y = 7/2x + 3
Step-by-step explanation:
u just gotta know that slope intercept form is the equation y=mx+b
Who's taking geometry and can help me?
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Help me please..........
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
solve 100+0.05p=0.25p
Answer:
p=500
Step-by-step explanation:
The value of p is 500 in the equation 100+0.05p=0.25p.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
The equation,
100+0.05p=0.25p
To solve the equation:
Simplify the equation,
100 = 0.25p - 0.05p
0.20p = 100
p = 100/0.20
p = 500
Therefore, 500 is the value of p.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ6
I will give brainliest to the correct answer!
so confused.. I've watched many videos on this and its left me super confused im not even sure if those videos were right please help I dont understand.
Answer:
Its B :)
Step-by-step explanation:
Look at the graph points and match them with the choices
Can y’all plz help me with this
Answer:
If I did my math right it should be 10.20
Step-by-step explanation:
-78.55 + 128.75 = 50.2
50.2 - 40 = 10.2
And then obviously just add the zero at the end bc its money
Please help me with this question it is my first grade so I need to get it right on the answer if you’re positive you know
You scored 90, 95 and 87 on three test. Write and solve an Equation to find the score on the fourth test so that your mean test is 90.
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
help me read the instructions answer number 2 help me
Answer:
3. See explanation
2. [tex]\displaystyle Yes[/tex]
1. [tex]\displaystyle [2, 1][/tex]
Step-by-step explanation:
3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.
2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.
1. See above imagery
I am joyous to assist you at any time.
m = 5.71 + 0.25n
j = 4.66 + 0.60n
In the equations above, m and j represent
the price per gallon of milk and orange juice,
respectively, n months after December 31, 2018.
What was the price per gallon of milk when it was
equal to the price per gallon of orange juice?
A) $5.96
B) $6.21
C) $6.46
D) $6.71
Answer:
C) $6.46
Step-by-step explanation:
Equations
The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:
m = 5.71 + 0.25n
j = 4.66 + 0.60n
Where n is the number of months after December 31, 2018.
It's required to find the value of n when both prices are equal:
4.66 + 0.60n = 5.71 + 0.25n
Subtracting 0.25n:
4.66 + 0.60n - 0.25n = 5.71
Subtracting 4.66:
0.60n - 0.25n = 5.71 - 4.66
Operating:
0.35n = 1.05
n = 1.05/0.35
n = 3
The price per gallon of milk for n=3:
m = 5.71 + 0.25*3
m = 5.71 + 0.75
m = $6.46
Find the value of x.
Step-by-step explanation:
(3x+24)°=(8x-11)°
24+11=8x-3x
35=5x
x=7
Solve for x in the literal equation −4 = xy + z.
Answer:
x = (-4 - z)/y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-4 = xy + z
Step 2: Solve for x
Subtract z on both sides: -4 - z = xyDivide y on both sides: (-4 - z)/y = xRewrite: x = (-4 - z)/ywhich of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee
Answer:
y=7x-8
Step-by-step explanation:
y=mx+b........slope-intercept form
where m=slope,b=y-intercept
y=7x-8
Write the equation of the function on the graph.
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Someone help me please
Answer:
The multiple choice question is A
one of the zeros is x=2
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
22
An airline offers a discount one way flight to New York City for $162 80. If the usual price for the ticket is $185.00, what is the percent discount
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?
Answer:
53 caramelos
Step-by-step explanation:
El número total de caramelos en el frasco = 180 caramelos
Para Laura
Laura se ha comido la décima parte de un frasco
1/10 × 180 caramelos = 18 caramelos
Por Marta
Marta una novena
1/9 × 180 = 20 caramelos
Por Cristina
Cristina una quinta.
1/5 × 180 = 36 caramelos.
De lo que queda, Juan se ha comido la mitad.
La cantidad de caramelos que quedan se calcula como:
180 - (18 + 20 + 36)
= 180 - 74
La cantidad de caramelos que quedan = 106 caramelos
Para juan
De lo que queda, Juan se ha comido la mitad.
= 1/2 × 106
= 53 caramelos
¿Cuántos dulces quedan?
= 106 caramelos - 53 caramelos
= 53 caramelos
Por tanto, quedan 53 caramelos.
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
Simplify the following expression.
[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]
Answer:
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDividing Fractions - KCF (Keep Change Flip)
Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)Algebra I
Terms/CoefficientsDomainsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]
Step 2: Simplify
Divide [KCF]: [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply: [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide: [tex]\displaystyle \frac{(x - 6)}{2}[/tex]Extra:
If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.
Answer:
(x-6)/2
Step-by-step explanation:
Turn the second fraction upside down and multiply two fractions
