The initial points: T(2 , 3) U(5, 4) V(2, 0)
The transformed points: T'(-1, 2) U'(2,3) V'(-1, -1)
Identifying the Transformation rule:Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them
T(2, 3) → T'(-1, 2)
We can see that these points are not reflected across the y-axis
Checking if they have a dilation of 0.25 about the origin:
Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points
So, if the points have a dilation of 0.25:
x (initial) * 0.25 = x(final)
2*0.25 = -1
0.5 ≠ -1
Hence, there is no dilution of 0.25
Checking if the given points are translated:
To check this, we will take 2 pairs of initial and transformed points
T(2,3) → T'(-1,2)
U(5,4) → U'(2,3)
To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal
Change in coordinates of T:
x-coordinates:
x(final) - x(initial) = x(change)
x(change) = -1 - (2)
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 2 - (3)
y(change) = -1
Change in coordinates of U:
x-coordinates:
x(change) = x(final) - x(initial)
x(change) = 2 - 5
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 3 - 4
y(change) = -1
Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place
Since the change in x is -3 and the change in y is -1, the translation will look like:
(x-3 , y-1)
Which is also option d.
Hence, option d is the correct answer
How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5
Answer:
Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)
Step-by-step explanation:
Which of the following is equal to the expression listed above?
A.
(14 + 7) × 12
B.
14 + (7 + 12)
C.
(14 + 7) + (7 + 12)
D.
12 × 14 + 12 × 7
Answer:
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
Step-by-step explanation:
Given
[tex](14 + 7) + 12[/tex] --- [Missing in question]
Required
Select equivalent expression
[tex](14 + 7) + 12[/tex]
Associative property states that:
[tex](a + b) + c = a + (b + c)[/tex]
In this case:
[tex]a = 14[/tex]
[tex]b = 7[/tex]
[tex]c = 12[/tex]
So, we have:
[tex](a + b) + c = a + (b + c)[/tex]
[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]
B. is correct
tangles)
What is the missing term?
-1
?
-3
5x 25x2 | 15x
5x
+3
Sadie went shopping over the weekend and found a sweater that she liked that was regularly 3
$33. She used her 20% off coupon to save her some money. How much money will Sadie save
on the sweater? *
Clear selection
The cost of groceries is $120.00. The price will be split among several roommates.
What type of variation exists between the cost of groceries per person and the
amount of people involved?
A Direct variation
B Inverse variation
C Neither
D Not enough information
Answer:
B Inverse Variation
Step-by-step explanation:
I think that is the answsr
Answer:
The Correct is B inverse variation
What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]
[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]
Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]
So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]
Now, finding y-intercept b
y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)
[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]
So, we get y-intercept: b=3
Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:
[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]
What type of counting problem is this? If Jackson is at the store and can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,
blueberries, and kiwis), how many different collections of fruit can he choose?
a. Combination with repetition
b. Permutation with repetition
c. Combination without repetition
d. Permutation without repetition
Answer:
Combination with repetition
Step-by-step explanation:
This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).
The number of different collections of fruit can he choose should be considered when there is Combination with repetition
Calculation of the number of different collections:Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)
So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.
Therefore, the first option is correct.
Learn more about number here: https://brainly.com/question/14650093
A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p value.
Answer:
p-value = 0.02535
Step-by-step explanation:
From the information given:
For men:
The sample size n₁ = 10
The standard deviation s₁ = 0.2
The sample mean [tex]\bar x _1 =[/tex] 2.9
For women:
The sample size n₂ = 10
The standard deviation s₂ = 0.2
The sample mean [tex]\bar x _2=[/tex] 3.1
Using the pooled variance;
[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]
[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]
[tex]= \sqrt{0.004+0.004 }[/tex]
[tex]= \sqrt{0.008 }[/tex]
= 0.08944
The z-test statistics is computed as:
[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]
[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]
z = - 2.236
The p-value = 2 × P(Z < -2.236)
From the z table;
p-value = 2 × (0.012675)
p-value = 0.02535
Lupe has 14 stickers that she wants to give to 2 friends.
She wants each friend to have the same number of stickers.
Select the three statements that describe how Lupe should give the stickers to her friends.
A. Each friend gets 14÷2 stickers.
B. Each friend gets 2 of the 14 stickers.
C. Each friend gets 142 stickers.
D. Each friend gets 7 of the 14 stickers.
C.
a
C.
If you save 1 paisa the today, 2 paisa the next
day, 4 paisa the succeeding day and so on. The
total savings in two weeks will be in Rs.
b. 183
c. 162.83
d. 164.85
22. The
a. 163
no
Answer:
Step-by-step explanation:
[tex]2^{14}[/tex] paisa =16,384 paisa
I WILL GIVE BRAINLIEST (real answers)
Answer:
Answer below
Step-by-step explanation:
Rational:
3.597
74.721
5/2
0
-11
(all the rest are irrational)
What is the sign of the product (3)(–3)(–2)(4)
Answer:
72
Step-by-step explanation:
brainliest please
Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2
Answer:
x=2, x=-2, and x=-1
Step-by-step explanation:
Function: f(x)=(x-2)(x+2)(x+1)²
We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.
So we have three equations:
1.(x-2)=0
2.(x+2)=0
3.(x+1)²=0
Solve.
1.x-2=0
x=2
2. x+2=0
x=-2
3. (x+1)²=(x+1)(x+1)=0
(x+1)=0
x=-1
(x+1)=0
x=-1
Since those two were the same we can just say x=-1 once.
Here are the three zeros:
x=2, x=-2, and x=-1
hope this helps!
Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Answer:
Length of Mr. Roger's field = 5 miles
Step-by-step explanation:
Given that:
Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles
Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile
Let,
l be the length of Mr. Roger's field
Area of field = Length * Width
[tex]\frac{10}{3}=\frac{2}{3}l[/tex]
Multiplying both sides by 3/2
[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]
Hence,
Length of Mr. Roger's field = 5 miles
44 kg of onions cost $308. How much would 30 kg cost?
Answer:
$210
Step-by-step explanation:
Cost of 44kg onions = $308
Cost of 1kg onion = [tex] \frac{308}{44} = 7[/tex]
Cost of 30kg onions = [tex]30 \times 7 = 210[/tex]
HELPPPPPPP PLSSSSSSSSSS
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!!
Evaluate the expression for the given values.
12x+5y3z, where x=12, y = 6, and z = 3
Enter your answer in the box.
Answer: i think 4
Step-by-step explanation:
What is the coefficient of y in the expression 3-6 + 4y?
(1 point)
3
4
10
18
It takes Paresh 4 hours to bike 26 miles. He plans to bike 7 hours tomorrow. If he bikes at the same rate, how far will Paresh bike in 7 hours?
Answer:
7x26
Step-by-step explanation:
prove that the angle sum of any triangle is 180°
If u steal point i report
Answer:
i think the answer is all of them but if its wrong im sry
Step-by-step explanation:
2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same
Answer:
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Step-by-step explanation:
Surface Area of a Cylinder
Given a right cylinder of base radius r and height h, the surface area is calculated as follows:
[tex]S=2\pi r^2+2\pi r h[/tex]
The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:
[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]
[tex]S=2\pi 0.49+1.4\pi[/tex]
[tex]S=2.38\pi[/tex]
[tex]\boxed{S=7.48\ m^2}[/tex]
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Which graph shows a proportional relationship between the number of hours of renting a jet ski and the total amount spent to rent the jet ski? (5 points)
a
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 48 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
b
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 56 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
c
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 18 and 6, 18 and 8, 18. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
d
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Answer:
A
Step-by-step explanation:
10( x + 1) = 2 x-7
Solve For x
Answer:
x = -17/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
10(x + 1) = 2x - 7
Step 2: Solve for x
Distribute 10: 10x + 10 = 2x - 7Subtract 2x on both sides: 8x + 10 = -7Subtract 10 on both sides: 8x = -17Divide 8 on both sides: x = -17/8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10(-17/8 + 1) = 2(-17/8) - 7Multiply: 10(-17/8 + 1) = -17/4 - 7Add: 10(-9/8) = -17/4 - 7Multiply: -45/4 = -17/4 - 7Subtract: -45/4 = -45/4Here we see that -45/4 does indeed equal -45/4.
∴ x = -17/8 is the solution to the equation.
Why would the Canadian government be against imposing harsh environmental regulations on mining and timber businesses located in the Canadian Shield?
Answer:
because the pollution created by these industries affects the United States more than Canada
Step-by-step explanation:
SMARTS!!!
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Look at the following numbers:
-6, 0, 6, 12
Which pair of numbers has a sum of 0? (5 points)
a
6, 12
b
0, 6
c
-6, 0
d
6, -6
Answer:
D) 6,-6
hope that helps
The sum of an arithmetic progression A.P.
The sum of an arithmetic progression is
given by the expression:
Sn = n/2 [2a + (n − 1)d]
Where Sn is the sum.
Answer:
S8 = 112
Step-by-step explanation:.
The question is incomplete
Assuming we are given the following
First term a =7
number of terms n = 8.
Common difference d=2
We can find the sum of the first 8terms S8
Substitute the given values
S8 = 8/2[2(7)+(8-1)(2)]
S8 =4(14+7(2))
S8=4(14+14)
S8 = 4(28)
S8 = 112
Hence the sum of the first 8terms is 112
Note that the values are assumed values
Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank
Answer:
[tex]g(n) = 10 * 3^{n}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
[tex]d = g(n) - g(n-1)[/tex]
Take n as 1
[tex]d = g(1) - g(1-1)[/tex]
[tex]d = g(1) - g(0)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]d = 30 - 10[/tex]
[tex]d = 20[/tex]
Take n as 2
[tex]d = g(2) - g(1)[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]d = 90 - 30[/tex]
[tex]d = 60[/tex]
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
[tex]r = \frac{g(n)}{g(n-1)}[/tex]
Take n as 1
[tex]r = \frac{g(1)}{g(1-1)}[/tex]
[tex]r = \frac{g(1)}{g(0)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(0) = 10[/tex]
[tex]r = \frac{30}{10}[/tex]
[tex]r = 3[/tex]
Take n as 2
[tex]r = \frac{g(2)}{g(1)}[/tex]
From the table:
[tex]g(1) = 30\ \&\ g(2) = 90[/tex]
[tex]r = \frac{90}{30}[/tex]
[tex]r = 3[/tex]
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
[tex]g(n) = g(0) * r^{n}[/tex]
Substitute values for g(0) and r
[tex]g(n) = 10 * 3^{n}[/tex]
Hence:
The explicit formula is: [tex]g(n) = 10 * 3^{n}[/tex]
Plz help.For what value of x is line m parallel to line n?