The line is:
(y-4)=2(x+1)
y-4=2x+2
y=2x+6 is the final equation for the line
and the correct graph is the B) cause when x=0 then y=6 and the slope of the line is positive.
what is the equation for line b
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
write the following numbers in words (1) 396 624 (2) 5 200 090 (3) 4 606 220
Answer:
1. three hundred ninety six thousand twenty four
2. five million two hundred thousand ninety
3. four million six hundred six thousand two hundred twenty
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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Population is growing, which creates more demand for water, especially in the southwestern part of the United States. In general, states are using more water than the system can supply, diminishing this limited resource.
Utilize the Chapter 11 textbook reading, which covers concepts related to common resources such as water and the tragedy of the commons, as well as the podcast "Water in the West: Bankrupt?" provided in the topic Resources to address the following:
• How would water bankruptcy work? Include who benefits and who loses as a result.
• Provide an alternative way in which a water shortage problem can be resolved?
Water bankruptcy is associated with the problems among the beneficiaries whose demands are more than the total available water.
What is water?It should be noted that water simply means a colorless and odorless liquid that is the basis of living organisms. The limited water supply has led to water resources bankruptcy which is the failure of water to meet the imposed demand by users.
The people who will benefit in water bankruptcy are the people whose needs weren't met by the available water.
An alternative way in which a water shortage problem can be resolved is the recycling of waste water and rainwater harvesting.
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Question 2 of 49
Lines AB and XY are best described as which of the following?
A. Perpendicular rays
B. Perpendicular segments
C. Perpendicular lines
D. Parallel lines
Option (b) is the correct answer: Perpendicular segments.
Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.
1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.
2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.
3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.
4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).
Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.
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Given regular pentagon ABCDE, what are the coordinates of vertex C?
a) (b, c)
b) (b, -c)
c) (-b, c)
d) (-b, -c)
Answer: a
Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)
The coordinate of the point C will be (b, c). Then the correct option is A.
What is regular pentagon?The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.
The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.
If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.
In a regular pentagon, there are five line of symmetry.
In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.
The point C is in the first coordinate, then the abscissa and ordinate will be positive.
Then the coordinate of the C will be (b, c).
Then the correct option is A.
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14x + 7y = -7
y = -2x-1
How to solve using elimination thanks!!
To solve the system of equations 14x + 7y = -7 and y = -2x - 1 using elimination, multiply the second equation by 7. Add the two equations together and simplify to get the final equation 2x + y = -1.
Explanation:To solve the system of equations 14x + 7y = -7 and y = -2x - 1 using elimination, you can multiply the second equation by 7 to make the coefficient of y in both equations the same. This will allow you to add the equations together and eliminate the y variable. Let's go through the steps:
Multiply the second equation by 7: 7(y) = 7(-2x - 1) => 7y = -14x - 7Add the two equations together: 14x + 7y + 7y = -7 + (-14x - 7) => 14x + 14x + 14y = -7 - 7Simplify and combine like terms: 28x + 14y = -14Now you have a new equation: 28x + 14y = -14. You can further simplify this equation by dividing all the terms by 14 to get 2x + y = -1. This is your new equation after using elimination.
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Jessica had 95 dollars to spend on 6 movies. After buying them she had 17 dollars. How much did each movie cost ?
show work
Answer:
$13 per movie
Step-by-step explanation:
Each movie costed $13 because if Jessica had $95 to spend on 6 movies, and she had $17 after buying all of them, the 6 movies costed a total of $78, and 78 divided by 6=$13 per movie. Hope it helps!
Answer:
13
Step-by-step explanation:
95-17 = 78.
then divide 78 by 6 which equals 13
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
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Find the missing angles
Answer:
angle 1 is 45 degrees
Step-by-step explanation:
all triangles are equal to 180 degrees
59+76 + x = 180
x =45
PLEASE ANSWER FAST
which two numbers which have an absolute value that is greater than the absolute value of 4 1/4
a) -4
b) -5
c) 3
d) 2
e) 6
Answer: b) and a)
Step-by-step explanation:
Cause absolute value is the opposite of the number
Please help me I can’t figure out how to solve
Answer: The answer is 20
Step-by-step explanation:
x-9.5=10.5
+9.5 +9.5
10.5+9.5=20
20-9.5=10.5
I hope this helps if so please mark brainliest
in the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2). Prove that PAT is an isosceles triangle.
In the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2) forms an isosceles triangle.
To prove that triangle PAT is an isosceles triangle, we need to show that at least two sides of the triangle are congruent.
Let's calculate the distances between the vertices:
Distance between P and A:
PA = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-4 - (-1))² + (5 - (-6))²]
= √[9 + 121]
= √130
Distance between P and T:
PT = √[(5 - (-1))² + (-2 - (-6))²]
= √[(5 + 1)² + (-2 + 6)²]
= √[36 + 16]
= √52
= 2√13
Distance between A and T:
AT = √[(5 - (-4))² + (-2 - 5)²]
= √[(5 + 4)² + (-2 - 5)²]
= √130
We can see that PA = AT = √130, and PT = 2√13.
Since PA = AT, we have shown that two sides of the triangle are congruent.
Therefore, triangle PAT is an isosceles triangle.
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The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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What is the length of the two equal sides?
What is the length of the third side?
Answer:
Two equal sides: 15 centimeters, Third side: 21 centimeters
Step-by-step explanation:
Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)
When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.
Answer:
37
Step-by-step explanation:
The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.
Let's look at the lowest common multiples of 2, 3, 4, 6:
Prime factorisation:
2 = 2
3 = 3
4 = 2 * 2
6 = 2 * 3
therefore, the lowest common multiple is 2 * 2 * 3 = 12
Let's look at the answers that this would give us (ie multiples of 12):
12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5
12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either
12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)
therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)
plsss explain nd i’ll give brainliest answer
Answer: 118
Step-by-step explanation:
Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.
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Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?
The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.
To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.
The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.
To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.
Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.
Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).
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The same video is uploaded to a different website.There are also 100 views in day one ,but 400 views on day 2and 1,600 views on day 3.explain how the explicit and rescursive formula change .
The explicit formula of the geometric sequence is given as follows:
\(a_n = 100(4)^{n-1}\)
The recursive formula of the geometric sequence is given as follows:
f(n + 1) = 4f(n).f(1) = 100.What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio (q). In other words, a geometric sequence is a sequence where each term is a fixed multiple of the previous term.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
For the recursive formula, we just take the first term and each consecutive term is the previous term multiplied by the common ratio.
There are 100 views in day one, hence the first term is given as follows:
\(a_1 = 100\)
The number of viewers is multiplied by 4 each day, hence the common ratio is given as follows:
q = 4.
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The function f (x) =0.5(2)^x represents the growth in square centimeters of a fungus after X days F (85)
The function f (x) =0.5(2)ˣ represents the growth in square centimeters of a fungus after X days F (85)
Function:
Function, in mathematics, expression, rule or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and essential for establishing physical relationships in science.
According too the Question:
Given That:
f (x) =0.5(2)ˣ
(B) When, x= 8
f(8) = 0.5(2) ⁸
= 128
Therefore, the Function is true.
(c) When, x = 10
f(10) = 0.5 (2)¹⁰
= 512
That is, the value of functions after 10 days.
Therefore, C is Correct.
(D) when, x = 64
f(64) = 0.5(2)⁶⁴
This functions represents the growth in square centimeters at a function after 64 days not the answer at fungi.
(E) When, x = 85
f(85) = 0.5(2)⁸⁵
The functions represents the growth in square centimeter of a fungi after 85 days x.
Therefore, we choose B and C.
Complete Question:
The function f (x) =0.5(2)^x represents the growth in square centimeters of a fungus after X days F (85)?
Select all that apply: D A f (8) = 1 f (8) 128 f (10) 512 represents the value of the function after 10 days f (64) represents the amount of fungi after 64 days E f (85) represents the amount of days it takes for the fungi to reach 85 cm?'
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2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.
The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.
However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.
This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.
As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.
It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.
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Need help order of operations, make it true. Using ( ) + - x ÷ solve:
36 1 3 2 13 = 20
Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?
Answer:
i think 9900
Step-by-step explanation:
225x20 = 4500
180x30 = 5400
5400+4500 = 9900
Is this a function or not. Then state domain and range. WILL GIVE BRAINLEIST
Answer:
Yes
Step-by-step explanation:
It is a function look at the numbers
Suppose there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates. Everything else equal, what is likely to happen to value of the MXN?
If we suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A, with everything else equal, the value of MXN will decrease.
The foreign exchange market works according to the principles of firms, households, and investors:
These three constituent factors of the foreign exchange market determine the demand and supply patterns in the market. Demand for a foreign currency might increase in the foreign exchange market is linked to the expectation of an increase in the value of a foreign currency. Supply of a foreign currency in the foreign exchange market is linked to an inverse principle, where the expectation of a decrease in the value of foreign currency pushes supply upwards. If we are to suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A., then the value of the MXN will decrease, with everything being equal. A higher interest rate leads to the appreciation of a foreign currency relative to other currencies in the foreign exchange market. A lower interest rate leads to the depreciation of a foreign currency relative to other currencies in the foreign exchange market.Therefore, if we suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A, with everything else equal, the value of MXN will decrease.
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If f(x) = –2x2 + 6, find the value of f(-3).
Answer: 12x−18
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
The commutative property does not work for which operations?check all that applys.
Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Step-by-step explanation:
Hope this is right!!!!
Which of the following would increase if the professional football players were removed from the data set?
Answer:
the standard deviation of the residuals
Step-by-step explanation:
The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.
The option that will increase if the football players were removed from the data set is the standard deviation of the residuals
What is standard deviation?It should be noted that standard deviation simply means the difference between the observed data and the predicted values.
In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.
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the prism below is made of cubes which measure 1/3 of a centimeter on one side. What is the volume?
A. 6 cubic cm
B.2/3 cubic cm
C.18 cubic cm
D.8/3 cubic cm
P(t)=480,000e−0.024t, where t is the number of years from the present. What does this model predict the population will be in 14 years?
The model predicts the population to be 671,520 in 14 years
What is an exponential function?An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.
Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.
Population, P(t) = 480,000\(e^{-0.024t}\),
when t = 14
substitute t = 14 into the equation,
Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520
In conclusion, the Population of the model after 14 years is 671,520
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