The way it changes the graph is that the parabola shifts 3 units down.
Transformation of functionGraph of a quadratic function are parabolic in nature. The parent function is given as:
f(x) = x²
If the graph of the function is changed to y= x^2 - 3, this shows that the parent function was shifted down by 3 units.
Hence we can conclude that the way it changes the graph is that the parabola shifts 3 units down.
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jeunesse earned $725 dollars by working 5 days in a week. What is the average amount that she earned per day?
Which of the following is being constructed in the image?
Answer:
C) A line perpendicular to a given line through a point not on a line.
Step-by-step explanation:
In the given construction we draw a perpendicular line from a point which is not on line.
Please see the attachment for construction and naming of point.
We are given a line s and point P which is not on line. Through point P we draw an arc on line which cut at two points A and B Now we open an compass and mark an arc through point A. Using same arc we cut the arc A through point B at point C.Now we join PC. Such that PC ⊥ to line sThus, C is correct option. " a line perpendicular to a given line through a point not on a line".
Dylan is 6 years younger than Briana. Briana's age can be represented by x. Write an expression representing Dylan's age.
Answer:
x - 6
Step-by-step explanation:
usatestprep
k-12
If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5?
7x-4y=3y-14 solve for y
If all marbles in a bag are red, and all red marbles weigh 3oz, then all 3oz marbles are red. true or false?
if the discriminant of an equation is zero, which of the following is true of the equation?
a. it has one real solution
b. it has two complex solutions
c. it has two real solutions
d. it has one complex solution
If the discriminant of an equation is zero, then the correct statement amongst given statement is:
a. It has one real solution
Step-by-step explanation:We have three cases of discriminant--
If the discriminant of the equation is strictly greater than zero then the equation has two real solutions.If the discriminant is equal to zero then it has one real solution.and if the discriminant is strictly less than zero then the equation has 0 real solutions i.e. both the solutions of the equation are complex.
Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. she starts by assigning coordinates to a rectangle as shown. then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
The solution for the problem is:
d(S,P) = √(0-0)^2
+ √(b-0)^2
d(S,P) = √b^2
d(S,P) = b
so we know that, SP = b
d(P, Q) = √(a-0)^2 + √(b-b)^2
d(P, Q) = √a^2
d(P, Q) = a
so
PQ = a
SQ = c^2 = a^2 + b^2
SQ = √(a^2 + b^2)
Therefore, the answer is √(a^2 + b^2).
Proof of the congruence of the diagonals of a rectangle involves the distance formula stemming from the Pythagorean theorem and can be shown using specific coordinates. Comparing areas of squares uses the squares of the side lengths which simplifies to ratios.
Explanation:The lengths of the diagonals of a rectangle can be found using the distance formula, which is derived from the Pythagorean theorem. To prove the diagonals are congruent, coordinates are assigned to the vertices of the rectangle and the distance formula is applied to both diagonals. If the rectangle is placed with one corner at the origin and sides along the axes, then this process is further simplified as one can use the differences in x-coordinates and y-coordinates directly.
If we have a rectangle with vertices at coordinates (0,0), (a,0), (a,b), and (0,b), the diagonal lengths can be found by using the distance formula: the diagonal between (0,0) and (a,b) would have a length of √(a² + b²), and the diagonal between (a,0) and (0,b) would also have a length of √(a² + b²), proving that they are congruent. Additionally, when comparing areas using ratios, one simply needs to compare the squares of the lengths of respective sides, as the area of a square is the square of its side length.
q(a+y)=67y+93 Solve for y
The value of y is:
[tex]y=\dfrac{93-qa}{q-67}[/tex]
Step-by-step explanation:We are given a expression in terms of three unknowns q,a and y.
Now, we are asked to solve this expression for y.
i.e. we are asked to represent y in terms of other two unknowns.
We will first use the distributive property under multiplication in the left hand side of the equation.
i.e.
[tex]q\times a+q\times y=67y+93\\\\i.e.\\\\qa+qy=67y+93[/tex]
Now, we combine the terms of y at one side of the equation and the other terms to the other side.
i.e.
[tex]qy-67y=93-qa\\\\i.e.\\\\(q-67)y=93-qa\\\\i.e.\\\\y=\dfrac{93-qa}{q-67}[/tex]
Which two terms are often synonymous with or made possible with cidr?
CIDR, or Classless Inter-Domain Routing, is tied to IP address aggregation and subnetting, which help in efficient IP address allocation and network management.
Classless Inter-Domain Routing, commonly known as CIDR, is a method for allocating IP addresses and routing Internet Protocol packets.
Two terms often associated with CIDR are IP address aggregation and subnetting. IP address aggregation involves the grouping of multiple networks into a single, larger network, represented as a CIDR block.
Subnetting refers to dividing a larger network into smaller, more manageable sub-networks or subnets. This technique can help reduce the number of routing table entries needed in a network, which improves routing efficiency and conserves the limited supply of IP addresses.
In which area did the French find the most success?
Shipbuilding
Fur trade
Lumber industry
Agriculture
Write an inequality to model the situation. a number exceeds 9.
Answer:
n ≥ 9
Step-by-step explanation:
use mental math to solve 4576 + 2842
Express 5/14 as a decimal number rounded to the nearest thousandth.
0.357
2.8
0.3571
0.28
Rounded to the nearest thousandth, it's 0.357. So, the correct answer is: A) 0.357.
To express 5/14 as a decimal, divide 5 by 14 to get 0.357142857. Rounding to the nearest thousandth means considering the third digit after the decimal point. Since the fourth digit is 1, which is less than 5, it doesn't affect the rounding. Therefore, 5/14 as a decimal rounded to the nearest thousandth is 0.357. This approximation maintains three decimal places, with the third digit being 7.
[tex]\frac{5}{14}=0.357142857[/tex]
Complete Question:
Express 5/14 as a decimal number rounded to the nearest thousandth.
A) 0.357
B) 2.8
C) 0.3571
D) 0.28
Which term describes a person's previous pattern of borrowing and repaying?
a blue print for a house has a scale of 1:35 in in a wall in the blue print is 3 inches what is the length in feet
which expression shows how 6x45 can be rewritten using the distributive property
The product of two positive even numbers is 168. What are the numbers? A) 12 and 14 B) 16 and 18 C) −12 and −14 D) −16 and −18
Can someone please help me with both of these! Thank youuuu!!! ❤️
List the steps to construct parallel lines using a compass and straightedge.
List the steps to construct parallel lines using a drawing program.
List the steps to construct perpendicular lines using a compass and straightedge. List the steps to construct perpendicular lines using a drawing program.
1. To construct parallel lines, first, you must start with a line segment AB that well copies. Mark another point called C. Set the compass to the point A and adjust the compass to the width of the original line. Then without moving the compass, put it on point C and mark the end and label it D. Use a straightedge to connect the points and now you’ve copied a line segment.
2. First, you click the line and make a line segment. Then make a separate point anywhere. Then you double-click perpendicular lines and click parallel lines. Click and drag the line segment onto the separate point.
3. First, you start with a point on a line. Then you put your compass on the point and mark an arc on each side of the line and put points on them. Then you put the compass on one of the points and make an arc above the original point. Do the same for the other side. You should end up with 2 X’s on top and bottom of the original point. Then mark points on the Xs. Finally, use a straight edge to connect the two X’s which will make a bisecting line through the original.
4. First, you make a line and click perpendicular lines and you will have a straight line cutting through the original.
Answer:
Step-by-step explanation:
The following sequence is arithmetic. 18, 11, 4, -3, -10, -17….
True
False
I can't study this because keystones makes you take the quiz before giving instructions.
The statement "The following sequence is arithmetic. 18, 11, 4, -3, -10, -17 is True.
To determine if a sequence is arithmetic, one must check if there is a common difference between consecutive terms. The common difference (d) can be found by subtracting any term in the sequence from the term immediately following it.
Let's calculate the common difference for the given sequence:
- For the first two terms: (11 - 18 = -7)
- For the next two terms: (4 - 11 = -7)
- For the following two terms: (-3 - 4 = -7)
- And for the last two terms provided: (-10 - (-3) = -10 + 3 = -7)
Since the difference between each pair of consecutive terms is constant and equal to \(-7\), this confirms that the sequence is indeed arithmetic. Therefore, the statement is True.
How many combinations are there to make $2.50 using one dollar bills, quarters, and dimes?
Final answer:
To make $2.50 using one dollar bills, quarters, and dimes, there are 7 different combinations.
Explanation:
To make $2.50 using one dollar bills, quarters, and dimes, we can use the concept of combinations. Let's break it down:
Start with the number of one dollar bills:0 one dollar bills: This gives us 0 dollars.1 one dollar bill: This gives us 1 dollar. We need to make $1.50 more with quarters and dimes.2 one dollar bills: This gives us 2 dollars. We need to make $0.50 more with quarters and dimes.Now let's consider the quarters and dimes:0 quarters and 25 dimes: This gives us $2.50.1 quarter and 20 dimes: This gives us $2.50.2 quarters and 15 dimes: This gives us $2.50.3 quarters and 10 dimes: This gives us $2.50.4 quarters and 5 dimes: This gives us $2.50.So, there are 7 different combinations to make $2.50 using one dollar bills, quarters, and dimes.
What is the value of r? 5+r−2=9
The value of r in a solution of the expression 5 + r - 2 = 9 is,
⇒ r = -6
Given that,
A mathematical expression is,
⇒ 5 + r - 2 = 9
Now, simplify the expression by combining like terms as,
⇒ 5 + r - 2 = 9
⇒ 3 - r = 9
Add r on both sides,
⇒ 3 = 9 + r
Subtract 9 on both sides,
⇒ 3 - 9 = r
⇒ - 6 = r
Therefore, the solution of the expression is,
⇒ r = -6
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If you start with an integer and , subtract -85 ,add -57 ,subtract 68, add -77,add 55 and subtract-73 the result is 0. Find the integer that you start with
in a tank that contains only golden platys, the probability of getting a female fish is 30%. If there are 18 female fishin the tank, how many total fish are in the tank?
Using probability concept in mathematics, the total number of fish in the tank would be 60, this is solved by the equation
[tex]X = (18*100)/30[/tex]Explanation:The student's question involves the concept of probability in mathematics. Given that the probability of finding a female golden platy is 30% and there are 18 female golden platys, we can formulate an equation to find the total number of fish. Let's say the total number of fish in the tank is X. Accordingly, we can write 30/100 * X = 18. Solving this equation would give X = 18 / (30/100), which simplifies to
[tex]X = (18*100)/30 = 60[/tex]golden platys in the tank.
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Determine the probability of getting a 4 when rolling a fair number cube. If Thelma rolls a fair number cube 600 times, how many times can she expect to get a 4?
Help please . Thank you
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two small fries have a total of 1,330 calories. How many calories does each item contain? Create two equations to model this situation using X and Y for your variables. Use a comma to separate your equations.
A cheeseburger contains 290 calories and a small fries contains 230 calories.
Explanation:Let X be the number of calories in a cheeseburger, and Y be the number of calories in a small fries.
From the given information, we can create two equations:
4X + 5Y = 23103X + 2Y = 1330To solve this system of equations, we can use substitution or elimination. Let's use elimination:
Multiply equation 1 by 3 and equation 2 by 4 to eliminate the X term:12X + 15Y = 693012X + 8Y = 5320Subtract the second equation from the first equation:12X + 15Y - 12X - 8Y = 6930 - 53207Y = 1610Divide both sides by 7:Y = 230Substitute the value of Y into either equation and solve for X:3X + 2(230) = 13303X + 460 = 13303X = 870X = 290Therefore, a cheeseburger contains 290 calories and a small fries contains 230 calories.
Non-random sampling is less likely to result in a representative sample than random sampling. select one:
a. True
b. False