Describe how the graph of y= [tex]x^{2} [/tex] can be transformed to the graph of the given equation.
y = [tex](x-12) ^{2} [/tex] + 3
Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in the table below.
Students with an A in Math
Number of A grades Number of students surveyed
20
4
40
8
60
12
80
16
What is the constant of proportionality of the ratio of students surveyed to the number of A grades?
0.2
0.5
2
5
20/4 = 5
40/8 = 5
60/12 = 5
80/16 = 5
Answer is 5
Answer:
Option D 5
Step-by-step explanation:
Mike and Julie surveyed students to determine how many had a grade of A in math as given in the table.
We have to find the proportionality constant of the ratio of students surveyed to the number of A grades.
Since proportionality constant = [tex]\frac{\text{Students Surveyed}}{\text{number of A grades}}[/tex]
=[tex]\frac{20}{4}=5[/tex]
Similarly we can get the constant form other data which is equal to 5.
Therefore, Option D. 5 is the correct option.
What is the 8th term in the sequence?
an=25−3n
Enter your answer in the box.
Hence, the 8th term of the sequence is:
[tex]a_8=1[/tex]
Step-by-step explanation:We are defined the nth term in the sequence with the help of the relation or expression as:
[tex]a_n=25-3n-------(1)[/tex]
We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.
so, we will put n=8 in the given expression (1).
[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]
Hence, the 8th term of the sequence is:
[tex]a_8=1[/tex]
How can I tell if they are none transversal?
A non-transversal line in geometry is a line that does not intersect two or more lines at distinct points. Similarly, in geology, folds with a horizontal axial line, called non-plunging folds, can be analogous to non-transversal lines as they don't intersect with another structure at a distinct point.
Explanation:In mathematics, specifcally in geometry, transversal is a line that passes through two lines in the same plane at two distinct points. If a line does not intersect two or more lines at distinct points, it can be considered as a non-transversal line.
According to the information provided, in the context of folds in geology, the axial line becomes a key concept. The axial line refers to an imaginary line drawn along the crest of a fold. If the axial line is horizontal, the fold is referred to as a non-plunging fold and it could be analogous to a non-transversal line in geometry, as it doesn't intersect with another structure at a distinct point.
However, if the axial line is tilted (plunging), it might be considered as a transversal in the sense that it 'intersects' the horizontal plane at a distinct angle. Similarly, if a line in geometry is tilted and intersects two or more lines at distinct points, it is a transversal line.
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Find the point where the line crosses the x-axis. y = –5x + 5
Madison wants to make cookies for her little sisters birthday party. She is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 13 inche long, how many cookies can she make
Answer:
26 cookies
Step-by-step explanation:
13 times 2
HELP ME WITH MATH PLEASEEEEEEEEEEEEE
12/25 x 5/18 !!!!!!!!!!
Value of 12/25 x 5/18 in the simplest form is 2/15.
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given a equation 12/25 x 5/18 we need to simplify this
Using PEMDAS
12/25 * 5/ 18
=> (12 * 5)/ 25 *18
=> 2 / (5 * 3)
=> 2/15
Therefore, Value of 12/25 x 5/18 in the simplest form is 2/15.
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Identify the properties needed to prove n + n + n + 2n = 5n.
The properties needed to prove n + n + n + 2n = 5n are: Distributive Property of Multiplication, Associative Property of Addition, and Commutative Property of Addition.
What is Commutative Property of Addition?The commutative property of addition states that when two or more numbers are added, the order in which they are added does not affect the sum. In other words, for any two numbers a and b, a + b = b + a.
The properties required to prove n + n + n + 2n = 5n are as follows:
Distributive Property of Multiplication: This property states that a(b + c) = ab + ac. In this case, we can apply the distributive property to 2n, which gives us 2n = n + n.Associative Property of Addition: This property states that (a + b) + c = a + (b + c). We can use the associative property of addition to group the n's together and the 2n's together, which gives us (n + n + n) + (2n) = 5n.Commutative Property of Addition: This property states that a + b = b + a. We can use the commutative property of addition to rearrange the terms in the equation, which gives us (n + n + n + 2n) = (n + n + 2n + n) = 5n.Thus, these properties can be used.
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Final answer:
To prove n + n + n + 2n = 5n, we use the commutative and associative properties of addition to group and combine like terms, then apply the distributive property to show that the sum equals 5n.
Explanation:
To prove the equation n + n + n + 2n = 5n, we need to use properties of equality and algebraic manipulation. First, we apply the commutative property of addition, which allows us to rearrange the terms in any order without changing the sum.
This property isn't strictly necessary here, as all terms involve 'n', but it's a useful property in general for manipulating equations.
Next, we utilize the associative property of addition, which allows us to group numbers in any combination when adding. In this specific case, we group all the 'n' terms together:
(n + n + n) + 2n
Using the associative property, we can simplify the equation further by combining like terms:
3n + 2n = 5n
Lastly, we apply the distributive property, which in this case shows that multiplying the coefficient (being 1 for n in this example) by the number of times 'n' appears (3 for the first set and 2 for the second set), gives the same result as adding 'n' that many times.
PLS HELP!!! WILL MAKE BRAINLIEST!!!
For anyone taking or has taken vlacs algebra one, I really need a paragraph describing what was in module #1 for a discussion based assessment. Please help :!
Find the 5th term of a sequence represented by f(n) = 5n-2
Drive-in movies were popular in the 1930s and 1940s. In 1933, there were 100 drive-in theater in the U.S by 1945 there were 2200. What was the percent of increase from 1933 to 1945?
To find the percent of increase in the number of drive-in theaters from 1933 to 1945, subtract the initial number from the final number, divide by the initial number, and multiply by 100, resulting in a 2100% increase.
Explanation:The question asks how to calculate the percent of increase in the number of drive-in theaters in the U.S. from 1933 to 1945. To find the percent of increase you subtract the original number from the new number divide by the original number, and then multiply by 100 to convert to a percentage.
Original number (1933) = 100 drive-in theatersNew number (1945) = 2200 drive-in theatersPercent of increase = ((2200 - 100) ÷ 100) × 100Percent of increase = ((2100) ÷ 100) × 100 = 2100%Therefore, the percent of increase from 1933 to 1945 was 2100%.
Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7 A. 2 + 10 × 7 B. 2 × (10 × 7) C. 10 ×7 × 2 D. (2 × 10) × 7
The correct answer is C. 10×7×2
Answer:
Option C is correct
[tex]10 \times 7 \times 2[/tex]
Step-by-step explanation:
Commutative property of multiplication states that you can multiply number in any order.
For example:
[tex]2 \times 3 = 3 \times 2[/tex]
[tex]3 \times 4 \times 5 = 4 \times 5 \times 2[/tex]
Given that:
2 × 10 × 7
By definition Commutative property of multiplication,
⇒[tex]10 \times 7 \times 2[/tex]
Therefore, [tex]10 \times 7 \times 2[/tex] demonstrates the commutative property across multiplication for 2 × 10 × 7
Put the numbers in order from least to greatest.
17
, 4.12, 41
10
, 42
15
A) 17
, 4.12, 41
10
, 42
15
B) 41
10
, 17
, 4.12, 42
15
C) 41
10
, 4.12, 17
, 42
15
D) 42
15
, 4.12, 17
, 41
What is the value of x? Enter your answer in the box.
The value of x from the equilateral triangle is x = 12 and the side is 38
What is an Equilateral Triangle?
An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ABC
Now , the triangle ABC is an equilateral triangle with
∠A = ∠B = ∠C = 60°
The measure of side AB = 4x - 10
The measure of side BC = 3x + 2
The measure of side AC = 5x - 22
And , the sides of the triangle will also be the same
So ,
Side AB = Side BC = Side CA
Substitute the values in the equation , we get
4x - 10 = 3x + 2 be equation (1)
On simplifying the equation , we get
Adding 10 on both sides of the equation , we get
4x = 3x + 12
Subtracting 3x on both sides of the equation , we get
x = 12
And ,
5x - 22 = 3x + 2
Adding 22 on both sides of the equation , we get
5x = 3x + 24
Subtracting 3x on both sides of the equation , we get
2x = 24
Divide by 2 on both sides of the equation , we get
x = 12
Hence , the value of x is 12
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Annette drives her car 120120 miles and has a mean of a certain speed. if the mean speed had been 3mph3mph more, she could have traveled 128128 miles in the same length of time. what was her mean speed?
Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?
Answer:
Here are the options to the questions:
a.) g(x)=|2(x−5)|
b.) g(x)=|2(x+5)|
c.) g(x)=|2x+5|
d.) g(x)=|2x−5|
The answer is b.) g(x)=|2(x+5)|
Step-by-step explanation:
The function F(x) = |2x| has the vertex at point (0,0)
The rule of translation is (x,y) -------- (x - 5, y)
The translation of the point (0,0)is equal to
(x,y) -------- (0 - 5,0)
(x,y) -------- (-5,0)
The function g(x) has the vertex at point (-5,0)
So therefore, the function g(x) is equal to g(x)=|2(x+5)|
Using the order of precedence for arithmetic operators, these two formulas will calculate the same result: =22/2*5 =22/(2*5).
Write the equation of a line given two points kuta
Which property justifies this statement?
x−4=x−4
A. Substitution Property of Equality
B. Transitive Property of Equality
C. Reflexive Property of Equality
D. Symmetric Property of Equality
Answer:
C. Reflexive Property of Equality
Step-by-step explanation:
[tex]x-4=x-4[/tex]
A. Substitution Property of Equality
Some value is substituted for any variables. In the given equation, the value for x is not substituted.
B. Transitive Property of Equality
If [tex]c=b+1 \ and \ b+1=4[/tex] then c=4. Given equation does not represent transitive property.
C. Reflexive Property of Equality
When both sides are equal , then it is reflexive property
[tex]x-4=x-4[/tex] represents reflexive property of equality
D. Symmetric Property of Equality
If [tex]1+2=a[/tex] then [tex]a=1+2[/tex]
Given equation does not represents symmetric property
There are 64 pretzels in a 16 ounce bag of chocolate covered pretzels. how many ounces does each pretzel way?
1.The state fair charges and entry fee plus $0.75 per ticket needed for the rides. Sally spent her money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a)Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. How much did Sally pay for the entry fee?
Answer:
(b)Joe has $26 he can spend at the fair on the entry fee and tickets. How many tickets can Joe buy?
Answer:
(c)Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. Write an equation to calculate the total cost of the entry fee and fair admission for a person who purchases x tickets.
Answer:
Final answer:
Sally paid a $12.50 entry fee to the fair. Joe can buy 18 tickets after paying the entry fee with his $26. The equation to represent the total cost of entry fee and tickets based on the number of tickets purchased is y = 12.50 + 0.75x.
Explanation:
(a) We are told Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. Since each ticket costs $0.75, we can multiply 25 tickets by $0.75 to find the total cost of the tickets alone. That is 25 tickets × $0.75 per ticket = $18.75. Subtracting this amount from the total cost of $31.25 gives us the entry fee. The entry fee is $31.25 - $18.75 = $12.50.
(b) Joe has $26 to spend on the entry fee and tickets. We found out earlier that the entry fee is $12.50. Subtracting the entry fee from the total amount Joe has, we get $26 - $12.50 = $13.50. Now, divide this by the cost of one ticket, $0.75, to determine the number of tickets he can buy: $13.50 / $0.75 = 18 tickets.
(c) Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. The total cost is the sum of the fixed entry fee and the variable cost of x tickets at $0.75 each. The equation is y = 12.50 + 0.75x.
what’s the slope for x+5=y
Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
1. (−$8) ÷ 12
2. (−$8) ⋅ 12
3. (−$8) − 12
4. (−$8) + 12
Hello,
100% CorrectThe correct answer is B) (-$8) × 12
Hope this helps!!!! :)
(Took the Math test)
**(Vanessa)**
convert 0.000064 to scientific notation
Graph this equation on this graph
Which value is the best estimate of 26% of 259?
A: 50
B: 52
C: 65
D: 88
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
What is equal to 3log2 + log4