The equation that passes (6,0) and (3,4) is -3y=4(x-6)
What are the different forms of straight lines ?
The following information about the straight line is required if we wish to obtain the equation for it.
1. The y-intercept and slope
2. Two-point and slope
3. Two things.
4. the intersection of the x- and y-axes
the straight line that passes through (6,0) and (3,4).
The equation can be expressed in a point-slope form which is ,
y/x-6=4/-3
∵ -3y=4(x-6)
Hence,
The equation that passes (6,0) and (3,4) is -3y=4(x-6)
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First, complete the story below so that it can be represented by the equation 5000-50x=4800-30x
Pool A started with 5000 liters of water, and 50 liters per minute are being (Drained out or Pumped back in)
Pool B started with 4800 liters of water, and 30 liters per minute are being (Drained out or Pumped back in)
The amount of water after x minutes is more in which pool? Pool A or Pool B?
The amount of water after x minutes is equal in both pools.
What is a Linear equation in one variable?
A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.
For example, 2x+3=8 is a linear equation in one variable.
The given equation is 5000 - 50x = 4800 - 30x.
solving for 'x',
5000 - 50x = 4800 - 30x
5000 - 4800 = 50x - 30x
200 = 20x
x = 200/20
x = 10
The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)
= 5000 - 500
= 450 liters
The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)
= 4800 - 300
= 450 liters.
Hence, the amount of water will be the same in both pools.
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Is this correct just need to make sure
Yes, it is correct. (a) congruent by SSS
(b) congruent by SAS
(c) congruent by ASA
(a) Given in figure,
MN = OP
∠MNO = ∠NOP
ON = ON (Common)
Hence, ΔMNO ≅ ΔNOP by SAS.
(b) Given in figure,
UV = XY
∠UVW = ∠XYZ
UW = XZ
Hence, ΔUVW ≅ ΔXYZ by SAS.
(C) Given in figure,
∠ABC = ∠EDF
BC = DE
∠ACB = ∠DEF
Hence, ΔABC ≅ ΔDEF by ASA.
Therefore, all are congruent.
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A polynomial can be factored by grouping if:
1. Find the standard form of a parabola passing through (1, 0), (2, -3), and (3,-10).
Hint: Use quadratic regression to find the standard form.
The standard form of a parabola passing through (1, 0), (2, -3), and (3,-10) is y = -2x² + 3x - 1
Define Parabola
A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile travelling under the pull of gravity will travel along a curve similar to this one.For parabolas that open either up or down, the standard form equation is y = ax² + bx + cThe equation of parabola in standard form is y = ax² + bx + c
We have given the points,
(1, 0), (2, -3), and (3,-10)
Let's put each point in parabola equation and form three equation as,
Equation for point (1, 0)
0 = a * (1)² + b * 1 + c
a + b + c = 0 --------------------eq(i)
Now, equation for point(2, -3)
-3 = a * (2)² + b * 2 + c
4a + 2b + c = -3 --------------------eq(ii)
And, equation for point (3, -10)
-10 = a * (3)² + b * 3 + c
9a + 3b + c = -10 ---------------------eq(iii)
Now, we have three equation let's put them together
a + b + c = 0 --------------------eq(i)
4a + 2b + c = -3 --------------------eq(ii)
9a + 3b + c = -10 ---------------------eq(iii)
Now, form equation which is of two variable.
For that, we take first two equation and subtract eq(ii) from eq(i)
4a+2b+c = -3
a + b + c = 0
- - - -
------------------------
3a + b = -3 ---------------eq(a)
Now, subtract eq(iii) from eq(ii)
9a + 3b + c = -10
4a + 2b + c = -3
- - - -
------------------------
5a + b = -7 ------------------eq(b)
Now, we get eq(a) and eq(b) consist of two variable.
3a + b = -3 ---------------eq(a)
5a + b = -7 ----------------eq(b)
Now, solve this equation simultaneously and find the value of a and b.
3a + b = -3
5a + b = -7
- - -
----------------
-2a = 4
a = -2
put a = -2 in eq(a) to find b
3a + b = -3
⇒3 * -2 + b = -3
⇒-6 + b = -3
⇒b = 3
We get the values of a and b. And, left with value of c for that just put the a and b value in eq(i) and find c
a + b + c = 0
-2 + 3 + c = 0
c = -1
Now, we get all the necessary values for equation.
Next, just put a, b and c values in parabola equation.
y = ax² + bx + c
y = -2x² + 3x - 1
Hence, the standard form of a parabola passing through (1, 0), (2, -3), and (3,-10) is y = -2x² + 3x - 1
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Terry sees this offer.
Refurbished phone
35% OFF
Now only £78
How much was the phone before the discounted price?
Answer: The phone was £120 before the discount.
For a snack, Miss Johnson gives her class graham crackers. She has a package of 30
graham crackers to share equally among twelve students.
How many graham crackers should each student receive?
Dividing
?
graham crackers among
Each student gets
crackers.
students can be found by solving
Answer:
each student get 2.5 of graham crackers
Step-by-step explanation:
[tex]total \: students \: = 12 \\ graham \: crackers \: = 30 \\ 30 \div 12 \\ = 2.5[/tex]
Which of the following is the correct factorization of the polynomial below?
x³-18
A. (x+3)(x-6)
B. (x-3)(x+6)
C. (x+3)(x² - 4x+6)
D. The polynomial is irreducible.
SUBMIT
Answer: D. The polynomial is irreducible.
From the explanation below we do not get polynomial .
Step-by-step explanation:
A.(x+3)(x-6)
= x^2-6x+3x-18
=x^2-3x-18
B.(x-3)(x+6)
=(x^2+6x-3x-18)
=x^2+3x-18
C.(x+3)(x^2-4x+6)
=x^3-4x^2+6x+3x^2-12x+18
=x^2-x^2-6x+18
D.The polynomial is irreducible
help is needed please and thank you
The required value of g(-4) = 1 in the given function is represented in the shown graph.
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The function is given in the represented graph of g(x)
We have to determine the value of g(-4) of the given function in the graph
According to the given graph, we can see that the value of the domain of the given function g(x) when the value of variable x is -4 when the value of the variable y is 1. this means the value of g(-4) = 1.
Therefore, the required value of g(-4) = 1 in the given function is represented in the shown graph.
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HLP ME PLSSSS ITS DUE IN 5 MNS
Answer:
It's either 1:3 or 1:3
Step-by-step explanation:
A scale factor is times, calculate and, a reinduced PEMDAS
PLEASE HELP I NEED IT TODAY
QUESTION IS ON THE IMAGE DOWN BELOW
PLEASE ANSWER QUESTION AS A double number line
Answer:
I agree with her the reason? because she is right
67.50/6= 11.25 meaning it's $11.25 per ticket
47/4= 11.75 meaning it's $11.75 per ticket
Step-by-step explanation: Jamar spent 11.25 per ticket
Aaron spent 11.75 per ticket meaning she spent more than Jamar
What is the value of the expression a(b/c)+ a=3
B=4 C=2
105 grams as percentage of 2kg
Hong made $153 for 9 hours of work.
At the same rate, how many hours would he have to work to make $187?
hours
X
Answer:
11 hours
Step-by-step explanation:
153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.
and i know that was a bad explanation but its whatever hope this helped.
A new gaming chair costs $239.87. You have already saved $118.37 and earn $40.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
40.5w + 118.37 = 239.87; w = 3
40.5w − 118.37 = 239.87; w = 9
40.5w − 239.87 = 118.37; w = 9
40.5 + 118.37w = 239.87; w = 3
Answer:
40.5w + 118.37= 239.87; w=3
Step-by-step explanation:
You already saved 118.37.
239.87
118.37
111.50
40x3=120. So you'll need 3 more weeks to buy a gaming chair. And you also get 8.50 dollars extra in profit.
Answer:
40.5w + 118.37= 239.87; w=3
Step-by-step explanation:
discuss three strengths of the linear regression. identify a peer-reviewed study that uses linear regression in its analysis. explain why linear regression was used and discuss one challenge in interpreting the results. include the permalink with your citation.
Linear Regression analysis has three key applications:
(1) evaluating predictor strength, (2) anticipating an effect, and as well (3) trend forecasting.
Define the term linear regression?Linear regression is a fundamental and widely used method of predictive analysis. The overall goal of regression is to investigate two things:
How well does a set of predictor factors predict an outcome (dependent) variable? Which variables, in particular, are significantly predictive of both the outcome variable, and how do they influence it?Regression analysis has three key applications:
evaluating predictor strength,anticipating an effect, trend forecasting.The formula y = c + b*x defines the simplest form of the regression equation with one dependent so one independent variable,
where,
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select all equations that are equivalent to (5x+6)/2=3-(4x+12)
The equivalent equation of the equation, [tex]\frac{5x+6}{2}=3-(4x+12)[/tex] is 5x + 6 = -18 - 8x
How to find equivalent equation?Two equations are said to be equivalent when they have the same solution set.
Equivalent equations are algebraic equations that have identical solutions or roots.
Therefore, let's find the equivalent equation of the equation.
[tex]\frac{5x+6}{2}=3-(4x+12)[/tex]
Let's open the bracket on the right side
[tex]\frac{5x+6}{2}=3-(4x+12)[/tex]
[tex]\frac{5x+6}{2}=3 - 4x - 12[/tex]
[tex]\frac{5x+6}{2}=(-9-4x)[/tex]
cross multiply
5x + 6 = 2(-9 - 4x)
5x + 6 = -18 - 8x
5x + 8x = -18 - 6
13x = - 24
divide both sides by 13
x = - 24 / 13
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Find all possible values of x for which these two triangles are simliar.
Please help quickly!!!
The possible value of x which the two triangles are similar is x=60°.
What do you mean by triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Method:
Given that two angles of the triangle are specified, the triangles can be
similar for only one value of x.
According to the given data in the question,
The two triangles are similar when we have;
x + 10° = 2x - 50°
Which gives;
2x - x = 50° + 10° = 60°
x = 60°
Checking gives;
x + 10° = 2·x - 50° = 70°
Two angles of the first triangle are 70° and 60°
Then, the third angle of the first triangle is (180° - (70° + 60°)) = 50°
The three angles of the first triangle are therefore; 70°, 60° and 50°.
Two angles of the second triangle are 70° and 70°.
The third angle of the second triangle is (180° - (70° + 70°)) = 40°
The three angles of the second triangle are therefore; 70°, 70° and 40°
Therefore, the two triangles are similar by AAA similarity.
The two triangles are similar when, x = 60°
When x = 50°, we have;
x + 10° gives;
50° + 10° = 60°
∴ ∠(x + 10°) = 60°
The two angles of the first triangle are; 60° and 50°
The third angle on the second triangle is 180° - (60° + 50°) = 70°
On the second triangle, we have;
2·x - 50° gives;
2 × 50° - 50° = 50°
∴∠(2·x - 50°) = 50°
Therefore, the two angles of the second triangle are 70° and 50°
The third angle on the second triangle is 180° - (70° + 50°) = 60°
Therefore, the two triangles are not similar when x = 50°
Similarly, the two triangles are not similar when x + 10° = 50°
Hence, the possible value of x which the two triangles are similar is x = 60°.
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Three children split a land inheritance in the ratio of 2:4:5. The land is made up of 2,750 acres. The one with the largest parcel of land from the inheritance decides to sell that parcel for $600 an acre. How much money does this person make on the sale of his share of the inheritance?
Using the properties of ratio we calculate that the largest land inheritance was sold at $825000 .
The ratio in which the land is divided is 2:3:5
Let the common ratio be x .
Hence the land is divided which has a combined area of 2750 acres.
Now, 2x+3x+5x = 2750
or, 10x = 2750
or, x = 275
Now the person with the highest inheritance will be having land:
= 5× 275
= 1375 acres
Cost of the land at $600 per acre
= 600 × 1375
= $825000
therefore the cost of the land is $825000
A ratio can therefore be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value represented by this fraction.
Ratios of counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of two numbers is a dimensionless number when they are measured using the same unit, which happens frequently.
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The area of a rectangle is given as 90 cm² and the length is 3 cm longer than its width. Find the length and the width of the rectangle.
Answer:
Step-by-step explanation:
Area of a rectangle is given by the formula :
A = L × W
Substituting 90 with A , x with W and (x+3) with L, we get :
90 = (x+3)×x
Simplifying the right side by expanding the bracket :
x(x+3) =
x²+3x
90=x²+3x
Now we can make a quadratic by subtracting both sides by 90 :
x²+3x-90 =0
I'm not sure about the rest
HELP!! SOLVER GETS ALL MY POINTS
The accounting profit is $10,800 and economic profit is - $14,200.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The saving of Sarah = $50,000
The interest on $25,000 Sarah withdrew at the rate of 4% = $1000
The interest on $30,000 Sarah borrowed at the rate of 4% = %1200
The amount paid for ingredients = $27,000
Total investment = 27,000+30,000+ 1000+1200 = $59,200
Revenue of Sarah = $70,000
Accounting profit of Sarah = $70,000 - $59,200 = $10,800
Economic profit of Sarah = $70,000 - ($59,200+$25,000)
= - $14,200
The accounting profit is $10,800 and economic profit is - $14,200.
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What is the vertex of f(x)= 3x^2+12x-8? A (2, 28) B (-2, -20) C (4,88) D (-4,-8)
Answer:
B (-2,-20)
Step-by-Step Explanation:
f(x)=3x^2 + 12x - 8
a=3 b=12
x=-12/2*3
x=-2
f(x)=3(-2)^2 + 12x - 8 , x=-2
f(-2) = -20
solution (-2,-20)
Can someone at least explain this to me I’m very confused.
For given line segments RS = TR
In this question, we have been given two line segments QS and TU intersected at point R.
Also, we have been given QS = TU, QR = RU
We need to prove, RS = TR
We can observe that,
QS = QR + RS
and UT = UR + RT
QS = TU ................(Given)
QR + RS = UR + RT
QR + RS = QR + RT .............(Given QR = RU )
QR + RS - QR = QR + RT - QR .............(subtraction property of equality)
RS = TR
Hence proved.
Therefore, for given line segments RS = TR
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you have a deck and you take one card at random and guess what the card is. what is the probability you guess right?
There are 52 cards in the deck and so the probability of guessing the card right is 1/52.
What is probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.
Here,
We can find this probability by seeing that
=1/4×1/13
=1/52
Because there are 52 cards in the deck, the probability of correctly predicting the card is 1/52.
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Which comic section is formed in the image
Answer:hyper bola
Step-by-step explanation:
All you have to do is look up all the answers on images and then pick the one that looks the most similar
Evaluate y² ÷ 8 if y = 4
I wasn't here when they learned this old show work
Answer:
2
Step-by-step explanation:
y² = 4²= 16 (in substitution way)
16÷8= 2
mark me on brainliest please follow me to
Answer:
2
Step-by-step explanation:
y^2/8
4^2/8
16/8
2
Hopes this helps please mark brainliest
22. A train travels 3 hours at 20km per
hour. How long will it take another
train to travel the same distance at
10km per hour?
(a) 6²/³ hours
(b) 6¹/2hours
(c) 6 hours
(d) 3 hours
(e) 2 hours
What I
The train takes 6 hours to travel the same distance.
From the question, we have
A train with 20km per hour takes 3 hours to travel the distance .
Another train with 10km per hour takes = (3*20)/10 hours
=6 hours
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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3x+y-4z=-22
2x+3y+4z=32
x-y+2z=16
Answer: x=-1, y=2, z=-3
Step-by-step explanation:
[1] 2x + 3y - 4z = 16
[2] -x + 2y - z = 8
[3] 2x - y - 2z = 2
Solve by Substitution :
Solve equation [3] for the variable y
[3] y = 2x - 2z - 2
Plug this in for variable y in equation [1]
2x + 3•(2x-2z-2) - 4z = 16
8x - 10z = 22
Plug this in for variable y in equation [2]
-x + 2•(2x-2z-2) - z = 8
3x - 5z = 12
Solve equation [2] for the variable x
3x = 5z + 12
x = 5z/3 + 4
Plug this in for variable x in equation [1]
8•(5z/3+4) - 10z = 22
10z/3 = -10
10z = -30
Solve equation for the variable z
10z = - 30
z = - 3
By now we know this much :
x = 5z/3+4
y = 2x-2z-2
z = -3
Use the z value to solve for x
x = (5/3)(-3)+4 = -1
Use the x and z values to solve for y
y = 2(-1)-2(-3)-2 = 2
Write inequalities to represent the situations below.
Ann exercises no less than 40 minutes per day.
Use t to represent Ann's amount of exercise (in minutes per day).
The inequalities to represent the Ann situation is t > 40.
How to model a situation with inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, an expression with an inequalities have the signs <, >, ≤ and ≥.
Let's represent the situation with an inequalities.
Therefore, Ann exercises no less than 40 minutes per day.
let
t = Ann's amount of exercise (in minutes per day).
The inequalities to represent the situation is as follows:
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help pls!!! I WILL BRAINIEST!!!!
The average daily profit of an electronics store is $27,235. The company estimates that 15% is lost each day to returns, with a margin of error of ±3%. What is the maximum the company can expect for returned items?
The maximum the company can expect for returned items is $4190.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The average daily profit of an electronics store is $27,235.
The company estimates that 15% is lost each day to returns.
∴ The amount of return is (15/100)×27135.
= 0.15×27125.
= $4068.
Now this has an error of ± 3%, therefore the maximum the company can expect for returned items is {(100 + 3)/100}×100
= 1.03×4068.
= $4190.
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Which point is collinear with points A and B?
As stated in the preceding statement the point R is collinear with points A and B.
What is a collinear?An axis is a term used to describe a line upon whatever points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points become trivially collinear.
How are collinear points discovered?Two lines may coincide if they have a same point and have the same slope. To put it another way, if A, B, as well as C are three points there in XY plane, they will all lie on a line, or three points will be collinear, but only if AB's slope and BC's slope are both equal.
then
m A B = m BC ( = m AC ).
The point is collinear with points A and B.
Therefore, the correct answer is option (d) R.
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