The value of y in the equation in term of x is y= (1-8x)/(3)
What are algebraic equations?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.
The value of y can there be solved by firstly making 3y the subject of formula
3y= 1-8x
dividing both sides by 3
3y/3= (1-8x)/3
therefore y= (1-8x)/(3)
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Completely factor the expression -4/5yn6 - 5/6y4n8
Answer:
See below
Step-by-step explanation:
You can pull one y and 6 n's out to start
then 4/5 = 24/30 and 5 / 6 = 25/30
and you can factor out a -1
- y n^6 /30 ( 24 + 25 y^3n^2 )
HELP! Recursive and explicit growth problem
The populations, considering an exponential function, are given as follows:
P(1) = 19.2.P(2) = 23.04.P(12) = 142.66.What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the variables of the function are:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In this problem, the parameters are given as follows:
A(0) = 16, r = 0.2.
Hence the function, written as P(t), is:
[tex]P(t) = 16(1.2)^t[/tex]
The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:
P(1) = 16 x (1.2)¹ = 19.2.P(2) = 16 x (1.2)² = 23.04.P(12) = 16 x (1.2)¹² = 142.66.More can be learned about exponential functions at https://brainly.com/question/25537936
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The quadratic equation used to model the situation is h(t) = -16t2 + 150t + 4. Graph this equation using the graphing tool. Adjust the axis labels to accurately reflect the variables, and adjust the window to display the entire graph in the first quadrant.
The graph of the coordinate points (4, 348), (75/16, 5689/16), (6, 328) is given below.
The given quadratic equation is h(t) = -16t² + 150t + 4.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The graph of a quadratic equation is as follows:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: (75/16,5689/16)
Focus: (75/16,22755/64)
Axis of Symmetry: x=75/16
Directrix: y=22757/64
Plot the points (4, 348), (75/16, 5689/16), (6, 328) on graph
Therefore, the graph of the coordinate points (4, 348), (75/16, 5689/16), (6, 328) is given below.
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Select the correct answer. Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
The statement that accurately describes the difference between short-term and long-term capital gains in terms of taxes is A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
What is a capital gains tax?A capital gains tax is a tax levied on profits made from the sale of a non-inventory asset. Capital gains from the sale of stocks, bonds, precious metals, real estate, and property are the most common.
Short-term capital gains are profits made from selling assets held for a year or less. Long-term capital gains, on the other hand, are gains from assets held for more than a year.
In conclusion, based on the information illustrated, the correct option is A.
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The numbers 1000, 1001, 1002, 2000 are all in base 10. Rewrite all of the
numbers in base 5 and find the base 5 number whose digits have the least sum. What
is this number written in decimal notation?
Rewriting all numbers in base 5
1000 = 13000
1001 = 13001
1002 = 13002
2000 = 31000
The base 5 number whose digits have least sum are 13000 and 31000
The decimal notation of the numbers are 1000 and 2000
Define unit number.
The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.
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What is the vertex of this problem?
The vertex of the parabola is (-1,-1)
What is vertex of parabola?
The vertex of a parabola is the highest point or the lowest point, also known as the maximum or minimum of the parabola. The vertex is the point of intersection of the parabola and its line of symmetry.
The vertex is the maximum or minimum point of a parabola.
The vertex is the point where the parabola changes direction.
Here, the point where the parabola changes it direction is (-1,-1).
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What must the value of x be in order to prove that
AEFG a AEHG by SSS?
The value of x will be= 90 degress.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
triangle 1= traingle290=90. perpendicularwith the help of sas propertyboth angles are equal.hence,The value of x will be= 90 degress.
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Janelys is going to invest in an account paying an interest rate of 5.9% compounded daily. How much would Janelys need to invest, to the nearest ten dollars, for the value of the account to reach $1,890 in 12 years?
The amount that should be invested to the nearest ten dollars is $930.
How much should be invested today?When an amount is compounded daily, it means that the investment increases in value everyday over the investment period.
In order to determine how much should be invested today, the present value of $1890 has to be determined.
The formula for determining the present value is:
PV = FV ÷ (1 + r)^nm
Where:
FV = future value of the investment r = daily interest rate = 5.9% / 365 = 0.01616%n = number of years m = number of compoundingPV = 1890 ÷ (1.00016)^(12 x 365) = 930
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PLEASE answer ill give BRAINLIEST
1.What is the measure of CBA?
2.What is the measure of CAB?
3.When these 3 interior angles of a triangle are added together, what does it equal.
The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
According to the question,
We have the following information:
Angle CAB = 2x
Angle CBA = 3x-20
And the given triangle is a right-angled triangle which means that one of its angle is 90°.
Now, we know that the sum of three angles of a triangle is 180°.
So, we have the following expression:
2x+3x-20+90 = 180°
5x+70 = 180
5x = 180-70
5x = 110
x = 110/5
x = 22°
Now, putting the value of x in given angles:
Angle CAB = 2x
Angle CAB = 2*22
Angle CAB = 44°
Angle CBA = 3x-20
Angle CBA = 3*22-20
Angle CBA = 66-20
Angle CBA = 46°
Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
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A number x is such that dividing the number by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10. Write down and solve an equation satisfied by x. Enter your answer in the box below as a number, rounded to one decimal place if necessary.
Answer:
x = 2
Step-by-step explanation:
You want x such that dividing by 5 and then adding 2 gives the same outcome as adding 22 and then dividing by 10.
Setup(x/5) +2 . . . . the value after dividing by 5 and adding 2
(x +22)/10 . . . . the value after adding 22, then dividing by 10
These two outcomes are the same:
x/5 +2 = (x +22)/10
SolutionMultiplying the equation by 10 gives ...
2x +20 = x +22
x = 2 . . . . . . . . . . . . subtract x+20
The number is x = 2.
__
Additional comment
The outcome in each case is 2.4.
pls help ill give brainliest
Answer:
b= -2
Step-by-step explanation:
This is written in the y=mx+B form. This means that x is our slope, and -2 is our y-intercept (b). This meakes b= -2
-Hope this helped
Answer: x=6.
Step-by-step explanation: First go to the Algebra Calculator.
Find the Surface Area for the following:
(Use 3.14 for. Do not round and do not type your units.)
12 in.
5 in.
The surface area of the cone is 282.6 [tex]in^2[/tex].
What is surface area of cone?
The region that a cone's surface occupies in three dimensions is known as the surface area of a cone. The whole area a cone's surface covers is known as the cone's surface area. The overall surface area will include the cone's lateral and base surfaces. A three-dimensional solid construction with a circular base is referred to as a cone. A cone can be thought of as a collection of irregularly shaped circular discs that have been stacked on top of one another while maintaining a constant ratio between the radii of the adjacent discs. It is the total of the cone's lateral area and base area.
Here the given ,
=> Height h= 12in
=> Radius r = 5 in
Using surface area of cone formula,
=> Surface area SA = [tex]\pi[/tex]r(r+ [tex]\sqrt{r^2+h^2}[/tex]) square unit.
=> surface area SA = 3.14*5(5+[tex]\sqrt{12^2+5^2}[/tex])
=> surface area SA = 15.7(5+[tex]\sqrt{144+25}[/tex])=15.7(5+13)
=> surface area SA = 15.7*18=282.6 [tex]in^2[/tex]
Therefore surface area of the cone 282.6 [tex]in^2[/tex].
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
Answer:
15h >= 200
>= means greater than or equal to. Just but a horizontal line underneath the >
Franks’s annual salary is $80000. About 25% of her salary is deducted for taxes.
How much tax is deducted?
Explain.
Choose the figure that models 4 divided by 4/3
The required solution to the given expression is 3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 4 ÷ 4/3
When considering multiplying the fractions together, After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 12/4 However, if you simplify it by 4, your final answer will be 3.
Thus, the required solution to the given expression is 3.
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Great by is reducing by 250% the regular price of a tally set selling it for $225 the regular price of the tally set is
The regular price of the tally set is $300.
How to calculate the price?From the information Illustrated, Great by is reducing by 250% the regular price of a tally set selling it for $225.
Let the regular price be represented by x.
Therefore, x - (25% × x) = 225
x - 0.25x = 225
0.75x = 225
Divide
x = 225 / 0.75
x = 300
The price is $300.
Note that the above percentage in the question is 25% and not 250%.
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9.
A.O
B.
1 12
Genevieve's
Function
Gary and Genevieve both plot lines on a coordinate grid. Gary plots the function y=2x-5, and Genevieve plots the function y=-3x + 4. Which of these represents their lines as well as the solution of the system?
The coordinate plane that represents both lines as well as the solution of the system is shown in the diagram below.
What is the Solution of a System of Equations?The solution to a system of equations is the value of x and y that will make the equations of the system true if they are plugged in into either of the two equations in the system.
Thus, when the equations or functions are plotted as a line on a coordinate grid, the system intersect at a point The coordinates of this point is the solution of the system of equations.
The function for Gary, y = 2x - 5, would be a line that has a slope of 2 and cuts the y-axis at -5, while that of Genevieve y = -3x + 4 will have a slope of -3, and will intercepts the y-axis at 4.
The red line in the coordinate grid in the image below is Gary's function y = 2x - 5, while the blue line is that of Genevieve y = -3x + 4. They bot intersect at (1.8, -1.4).
The solution is: (1.8, -1.4).
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If I earn $11 /hr. I worked for 6 and a half hrs yesterday, How much did I earn?
He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.
Define hours.An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.
Given,
Earns $11/hr
Worked for 6 hours and 30 minutes
Multiplying:
$11 × 6.5 hours
$ 71.5
He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.
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PLEASE HELP!!
F(n)=3n-4
find term 3
The third term of F(n)=3n-4 is 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
F(n)=3n-4
F of n equal to three times of n minus four.
We need to find the third term.
To find third term we need to plug 3 in place of n.
F(3)=3(3)-4
Three times three minus four
F(3)=9-4
Nine minus four gives 5
F(3)=5
Hence, the third term of F(n)=3n-4 is 5.
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2. Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until
she is finished. Write and solve a linear equation to Aind the total number of pages written at 5
months.
Answer:
y = 12x + 35
95 pages
Step-by-step explanation:
Let y represent the total number of pages
Let x represent the total number of months
x = 5 (months)
so..
y = 12(5) + 35
y = 60 + 35
y = 95
WILL MARK BRAINLIEST 30 POINTS
Each night Liz spends at least 45 minutes and no more than 120 minutes on her phone.
Choose which double inequality describes how long Liz spends on her phone each night.
"n" will be used as your variable.
WILL MARK BRAINLIEST
The double inequality describing the length of time (in minutes) that Liz spends on her phone each night is 45 ≤ f(x) ≤ 120.
What is double inequality?Double inequality is a mathematical expression that has two inequalities.
Double inequality is also known as a compound inequality. because there is more than one inequality in the expression
The form of double inequality is always written as: a ≤ f (x) ≤ b.
This double inequality gives the value of x as more than a and less than b.
The least number of minutes spent by Liz on her phone = 45 minutes
The maximum number of minutes spent by Liz on her phone = 120 minutes
Inequalities:Inequality 1: 45 ≤ f(x)
Inequality 2: f(x) ≤ 120
Thus, this double inequality 45 ≤ f(x) ≤ 120 shows Liz's time on the phone every night.
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write y= "-18x^2+252x-881" in vertex form
y = -18(x-7)² + 1 is the vertex form of the given equation.
What is the vertex form of the equation?y = a (x − h) 2 + k, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up (+a) or down (-a).
Given that y = -18x² + 252x - 881, where a = -18, b = 252 and c = -881
h = -b/2a
h = -252/2*(-18) = 7
k = ah² + bh + c = -18*49 + 252*7 - 881 = 1
Therefore, putting the values in y = a (x − h) 2 we get,
y = -18(x-7)² + 1
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Select all true statements (pick 3)
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180 because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.
E. ∠1 ≅ ∠3 because they are vertical angles.
Examining the figure, the correct options are
B. m∠1 + m∠3 = 180 because they form a straight angle.C. ∠3 ≅ ∠6 because they are alternate interior angles.D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.What are congruent angles?Two angles are said to be congruent when they are equal to each. The symbol to represent congruency is ≅
The following angles are congruent in the figure
∠3 ≅ ∠6 alternate interior angles.∠2 ≅ ∠6 corresponding anglesWhen are corresponding angles said to be equal ?Corresponding angles refers to angles that are in a position that are in matching position to another angle.
Corresponding angles are said to be equal when there are parallel lines intersected across by a line called transversal line.
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In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 5)3 + 9. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
The turning point is at x = 5, and this means that the substance changes from liquid to gas when x = 5.
How to find the turning point?
Here we have the temperature function:
T(x) = (x - 5)^3 + 9
The turning point is the point where the curvature of the function changes, by differentiating the function two times and finding the zero, we can get the turning points.
T'(x) = 3*(x - 5)^2
T''(x) = 3*2*(x - 5) = 6*(x - 5)
This is zero when x = 5, then:
T''(5) = 6*(5 - 5) = 0
So the turning point is there.
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Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)
Answer:
log(mn^2) = 50
Step-by-step explanation:
assuming base a for the logs
log(mn^2) = log m + 2log n
In triangle GHJ, K(8,6) is the midpoint of GH, L(2,2) is the midpoint of HJ, and
M(10,4) is the midpoint of GJ. Find the coordinates of G, H, and J.
The coordinates of G(4, 4) , H (0, 2), J(8, 0)
In order to construct the three sets of relationships between the coordinates of each triangle's three sides' ends and the shared midpoint, we must first set up the three sets of relationships.
G(x(G), y(G))
K(2, 3) (2, 3)
M(6, 2) (6, 2)
H(x(H) and y(H))L (4, 1)
J(x(J), y(J))
K(2, 3) at the midway of side GH
According to the x-component:
x(H) = x(G - x(H))/2
x(G)-[x(H)-x(G)] = 2*x(H)
x(H) + x(G) = 4
x(H) = 4 - x(G) (G)
According to the y-component:
y(H) plus [y(G) - y(H)]/2 = 3.
2*y(H) plus [y(G-y(H)] = 6
y(H) + y(G) = 6
y(H) = 6 - y(G) (G)
Midpoint L(4) and side JH(1):
According to the x-component:
(x(H) + [x(J) - x(H)]/2) equals four.
2*x(H) plus [x(J)-x(H)] = 8
x(H) + x(J) = 8
x(H) = 8 - x(J) (J)
According to the y-component:
y(H) = y(J - y(H)]/2 + y(J) = 1
y(J) - y(H) = 2*y(H)
y(H) + y(J) = 2
y(H) = 2
Side GJ with M(6, 2) as the midpoint:
For the x - component, the formula is: x(J) = [x(G) - x(J)]/2 = 6 2*x(J) = [x(G)- x(J)] = 12 x(J) = 12 - x (G)
y(J) + [y(G) - y(J)]/2 = 2 2*y(J) + [y(G)- y(J)] for the y-component. = 4 y(J) = 4 - y + y(G) = 4 y(J) (G)
The x and y coordinates may now be easily separated, and we can use algebra to isolate each one and determine its location.
x(H) = 4 - x(G), 8 - x(J), and 12 - x(J) (G)
Because x(H) = x (H)
4 - x(G) = 8 - x(J) (J)
8 - x(J) - 8 - x(G) - 4 = -x(J) x(J) x(J) = 4 + x (G)
Using 1.c above and this relationship now x(J) = x(J), so:
-2 * x(G) = -8 x(G) =, 4 12 - x(G) = 4 + x(G) 12 - x(G) - x(G) - 12 = 4 + x(G) - x(G) - 12
Given that x(J) = 4 + x(G) above, x(J) = 4 + 4 = 8 and x(H) = 4 - x(G) = 4 - 4 = 0 respectively.
Let's now perform the identical procedure using the y-coordinates.
y(H) = 6 - y(G), y(H) = 2 - y(J), y(J) = 4 - y(G),
and since y(H) = y(H), 6 - y(G) = 2 - y(J), -y(G) = 2 - y(J) - 6 = -y(J) - 4 y(G) = y(J) + 4 Now that y(J) = 4 - y,
we may substitute (G).
y(H) = y(G) - 2 and y(H) + 4 - y(G) = 2
and y(H) + 4 - y(G) = 2 - 4 and y(G)
Since y(H) = 6 - y(G)
according to 1. above, y(H) = y(G) - 2 + 6 - y(G) 2 * y(H) = 4 y(H) = 2 y(H) = 2 - y(J) 2 = 2 - y(J) y(J) = 4 - y(G) 0 = 4 - y(G) y(G)
H(x(H), y(H)), G(x(G), y(G)), and J(x(J), y(J)) are the results.
To determine the coordinates of the angles or triangle's tips, we used the midpoints of each side.
The coordinates are: H (0, 2) G(4, 4) J(8, 0)
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At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The table of the equivalent ratios is:
Toss Dollars
5 2
30 12
45 18
The points are plotted in the diagram below.
How to Create a Table of Equivalent Ratios?Applying the knowledge of ratios we can create a table of equivalent ratios, given that it cost $12 to toss 30 rings.
Therefore, the ratio of dollars to toss is: 12:30 = 2:5.
Number of toss = x
Amount in dollars = y
Substitute k = 2/5 into y = kx to derive an equation to use to create a table of equivalent ratios:
y = 2/5x.
Therefore, wheny = 2:
2 = 2/5(x)
10 = 2x
x = 5 toss
When x = 45:
y = 2/5(45)
y = 18 dollars
The table of equivalent ratios is completed as:
Toss Dollars
5 2
30 12
45 18
(5, 2), (30, 12), and (45, 18), which are the points of the equivalent ratio table are plotted as shown in the diagram below.
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Simplify these expressions
a) ххххххуху
b) 2 xx x x x 3 xyxyxy
You pick a card at random.
5678
What is P(not divisor of 45)?
Write your answer as a percentage.
%
The percentage of card which is not divisor of 45 is 23.077%
Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.
What does the term "percent" mean?
A fraction of one hundred is used to express a quantity or ratio as a percentage. The acronyms "pct," "pct," and occasionally "pc," as well as the percent symbol, "%," are also frequently used.
A % is a numeric expression that lacks both dimensions and a measurement system. The formula to determine the proportion of one number to another is percentage = (Original number/Another number) x 100.
In mathematics, a percentage is a number or ratio that represents a portion of 100. In percentages, 100% is meant. It contains no units.
A %, also known as a decimal or a fraction, is a figure that indicates how many out of 100 we are discussing. For example, "three for the price of one" is a percentage.
Given That:
In the deck of 52 cards You pick randomly 5 , 6 , 7 , 8
so each card has 4 variant
now for getting probability of not getting a divisor of 45 is
total outcomes = 52
observable outcomes = 4+4+4 = 12
its because 5 is a divisor so we didn't include it
hence the probability is 12/52
Percentage of this probability is 0.23077 x 100 = 23.077%
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If FG = 10x − 10, GH = x + 4, and FH = 16, what is FG?
If FG = 10x − 10, GH = x + 4, and FH = 16, FG is 10
How to determine FGinformation given in the question include
FG = 10x − 10
GH = x + 4
FH = 16
The problem is solved using substitution. this involves replacement of a variable with another that are same.
An instance of this a line FH having points FG and GH
FH contains FG and GH, hence adding both FG and GH gives FH
FH = FG + GH
plugging in the values
16 = 10x - 10 + x + 4
collecting like terms
16 = 11x - 6
16 + 6 = 11x
22 = 11x
rearranging the equation
11x = 22
x = 2
FG = 10x − 10
substituting the value of x
FG = 10 * 2 − 10
FG = 20 - 10
FG = 10
Learn more about equations and substitutions here:
https://brainly.com/question/28979969
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