Answer:
Scale factor = 1/2
Explanation:
The purple shape is a dilation of the black shape.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now findd the scale factor.
If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio
Answer:Scale factor = 1/2
The purple shape is a dilation of the black shape.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now findd the scale factor.
If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black
Scale factor = 10/20 = 1/2
Combine like terms in each expression
1. 1/4k+1/4m-2/3k+5/9m
2. -4b + 2w + (-4b) + 8w
3. 6- 5z + 8 - 4z + 1
Answer:
5/12k = 29/36m
8b = 10w
9z = 15
Step-by-step explanation:
Combining the like terms in these sets of equations is quite easy and straightforward. All we do is carry the like terms to either of the side of the equation, and question is solved. As in below
1/4k + 1/4m - 2/3k + 5/9m =
1/4k - 2/3k + 1/4m + 5/9m = 0
-5/12k + 29/36m = 0
5/12k = 29/36m
-4b + 2w + (-4b) + 8w =
-4b - 4b + 2w + 8w = 0
-8b + 10w = 0
8b = 10w
6- 5z + 8 - 4z + 1 =
6 + 8 + 1 - 5z - 4z = 0
15 - 9z = 0
9z = 15
28. An Amazon Echo originally costs $99.99. It is on sale for 10% off. Sales tax of 7.5% is then added to the sale price. What is the cost of the Echo on sale including tax? Round your answer to the nearest penny.
Answer:
$96.74
Step-by-step explanation:
The original cost of the Amazon echo = $99.99
Then we have a 10% sale which we are going to subtract from the original cost.
= $99.99-(99.99x10%)
= 99.99-9.999
= $89.991
Then a tax of 7.5% was added
= $89.991 + (89.991 x 7.5%)
= 89.991 + 6.749325
= $96.740325
Therefore the cost of the echo including tax is $96.74
The average age of a group of 30 children is 10.3 years. The average age of another group of 50 children is 8.7 years. Find the average age for all of the 80 children
Answer:
9.3
Step-by-step explanation:
30*10.3 = 309
50*8.7 = 435
309 + 435 = 744
744 / 80 = 9.3
9.3
pls mark me as brainliest!!
Alicia records the total number of points scored in two games by 10 players on her basketball team.
28, 13, 4, 8, 15, 10, 22, 7, 11, 15
Which box plot represents the data
Answer:
Your answer would be D It makes much more sense than the others
Step-by-step explanation:
good luck :)
Answer:
First option at second row , Option( C )
Step-by-step explanation:
In order to solve the problem,
First we need to arrange the numbers in ascending order.
4 , 7 , 8 , 10 , 11 , 13 , 15 , 15 , 22 , 28
Median = [tex]\frac{11 + 13}{2}[/tex]
= 12
From the first range ( 4,7,8,10,11 ) , we can find Q1 also known as first quartile where Q1 = 8 ( middle-most number).
Similarly, from the second range ( 13,15,15,22,28 ) , we can find Q2 also known as third quartile where Q3 = 15 (middle-most number ).
Now, for the box plot,
We need to draw a number line from 0 to 32.
Next, we need to draw a box from Q1 to Q3 with a vertical line through the median.
Next, we put dots above 4 and 28 since our numbers start from 4 and end with 28.
Finally we join the dots and the box plot with a straight line.
Hence, option C is the correct choice.
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What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (4, 1)?
Answer:
Step-by-step explanation:
Given:
The line parallel to the given line containing the points (-3,3) and (-2,1).
Also, the parallel line passes through the point (4,1).
We need to determine the equation of the line in slope - intercept form.
Slope:
Since, the two lines are parallel, then their slopes are equal.
Thus, the slope of the parallel line can be determined using the formula,
Substituting the points (-3,3) and (-2,1), we get;
Thus, the slope of the line is
Equation of the line:
The equation of the line can be determined using the formula,
Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;
Thus, the equation of the line is
Hence, y − 1 = −2(x − 4) is the correct answer.
:)
how much more is subtraction or addition JUST ASKING OUT OF CURIOSTY
Answer:
subtraction is less
Step-by-step explanation:
The rectangle below has an area of x^2
-114square meters and a length of x+12metters
Given that,
The area of the rectangle, [tex]A=x^2-114[/tex]
Length of the rectangle, [tex]l=x+12\ m[/tex]
To find,
The width of the rectangle.
Solution,
The formula for the area of a rectangle is given by :
A = lb
b is width of the rectangle
[tex]b=\dfrac{A}{l}\\\\b=\dfrac{x^2-114}{x+12}\\\\b=\dfrac{x^2-12^2}{x+12}\\\\b=\dfrac{(x-12)(x+12)}{(x+12)}\\\\=(x-12)\ m[/tex]
So, the width of the rectangle is (x-12) m.
Please help<3
Select the correct answer.
Which equation is equivalent to the given equation?
22 - 6x = 8
OA (1 – 3)2 = 14
OB. (1 – 3)2 = 17
Oc. (= – 6)2
OD. (1 – 6)2 = 20
= 44
Answer:
Step-by-step explanation:
B
Find the x- and y-intercepts of the linear function.
-8 - 2x + 4y = 0
Answer: x-2y=-4
Step-by-step explanation:
Move the constant to the righthand side and change its sign (-2x=4y+8)Change the signs on both sides of the equation (x-2y=-4)Divide both sides of the equation by 2 (-x+2y=4)Solution: x-2y=-4The equation of a circle is A is x^2
Answer: ??
Step-by-step explanation:
This might help :/
Area of a circle = pie r^
Circumference = 2pie r
what is the qoutient -3 ÷ 9?
Answer:
0.25
Step-by-step explanation:
An object moves along a straight line so that at any time t , for 0≤t≤8 , its position is given by x(t)=5+4t−t2 . For what value of t is the object at rest?
A. t = 2
B. t = 4
C. t = 9/2
D. t = 5
Answer:
D. t = 5
when the object is at rest => x(t) = 0
<=> -t^2 + 4t + 5 = 0
<=> t^2 - 4t - 5 = 0
<=> (t - 5)(t + 1) = 0
=> t = 5 or t = -1
but t》0
=> t = 5
The value of t if the object at rest is 2 secs: Option A is correct
Given the position of the object moving in a straight line expressed as:
x(t)=5+4t−t²
The velocity of the body at rest is zero
Get the velocity fucntion.
v(t) = d(x(t))/dt = 4 - 2t
Since v(t) = 0
0 = 4 - 2t
-4 = -2t
t = 2
Hence the value of t if the object at rest is 2 secs
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The unit price of a 128-ounce jug of milk is 4.8 cents per ounce. A 64-ounce carton of milk has a unit price of 5.1 cents
per ounce. Approximately how much money is saved by purchasing a larger jug instead of two cartons?
O $0.38
O $0.54
O $4.27
O $6.14
Answer:
O.38
Step-by-step explanation:
Answer:
0.38
Step-by-step explanation:
Edgen 2021
April pays a dog-walking service $30 each week to walk her dog. Let w = the number of weeks. Let d = the number of dollars April pays the service. Part A Which equation represents the problem? A. d = w + 30 B. w = d × 30 C. w = 30 + d D. d = w × 30 Part B Drag numbers to complete the table to show the number of dollars, d, that April spends on dog-walking in w weeks. Numbers may be used once, more than once, or not at all. 61803460150200 w 1 2 5 d 30 90 120
Answer:
Rule + 30, Equation: w=d+30
Step-by-step explanation:
Hope this will help some of you!
The amount in dollar for w weeks be d= 30 x w.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let w = the number of weeks.
Let d = the number of dollars April pays the service.
April pays a dog-walking service $30 each week to walk her dog.
So, the equation represents the situation
d= 30 x w
Hence, the amount in dollar for w weeks be d= 30 x w.
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Find the missing side length
Answer:
7 ft
Step-by-step explanation:
16-9=7
Translate the given phrase into an algebraic expression and simplify if possible: the sum of -8 and -9, increased by 23.
Note: Enter only the simplified result.
Step-by-step explanation:
(-8-9)+23
-17+23
6.........
The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
Here,
We have to simplify; the sum of -8 and -9, increased by 23.
And, find an algebraic expression.
What is Algebraic expression?
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Now,
The written expression is, the sum of -8 and -9, increased by 23.
It can be written as,
⇒ [(-8) + ( -9)] + 23
⇒ - 8 - 9 + 23
⇒ - 17 + 23
⇒ 6
Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.
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How many solutions does the system have?
- 2x - 4
y = 3x + 3
Choose 1 answer:
A
Exactly one solution
B
No solutions
С
Infinitely many solutions
Solving quadratic equations solve: x^2=81
Answer:9
Step-by-step explanation:
Square root of 81 is9.
Estimate the sum or difference 8/9 + 3/8
Answer:
1/19/72
Step-by-step explanation:
Explain which line must be parallel pllleeeaaaasser hurryyyy
Answer:
Lines P and Q
Answer:
parallel lines are lines that are directly next to each other so i think line's
p and q
Step-by-step explanation:
please mark me the brainliest if i am right
what if the answer????
formula for perimeter of a square
Answer:
Let the side of the square be x
Then the perimeter of the square is 4×(side)=4x
What are all values of x for which the function f defined by f(x)=x3+3x2−9x+7 is increasing ?
(A) −3
(B) −1
(C) x<−3 or x>1
(D) x<−1 or x>3
(E) All real numbers.
Answer:
C. [tex]x < -3[/tex] or [tex]x > 1[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+3\cdot x^{2}-9\cdot x +7[/tex], the first derivate of the function is:
[tex]f'(x) = 3\cdot x^{2}+6\cdot x -9[/tex] (1)
By the Quadratic Formula, we determine the roots of this polynomial:
[tex]x_{1} = 1[/tex], [tex]x_{2} = -3[/tex]
And the factorized form of the polynomial is:
[tex](x-1)\cdot (x+3) > 0[/tex]
By law of Signs, the polynomial is increasing when [tex]x-1 > 0[/tex] and [tex]x +3 > 0[/tex] or [tex]x-1 < 0[/tex] and [tex]x+3 < 0[/tex], which means that:
[tex]x < -3[/tex] or [tex]x > 1[/tex]
Therefore, the right answer is C.
Answer:
The correct option is an option (c).
Given:
The given function is,
[tex]f(x)=x^{3}+3x^{2}-9x+7[/tex]
Computation:
The function is increasing when [tex]f'(x)>0[/tex].
Now, differentiating the given function with respect to [tex]x[/tex] up to first order we get,
[tex]f'(x)=3x^{2}+3(2x)-9(1)+0\\f'(x)=3x^{2}+6x-9\\=3(x^{2}+2x-3)\\=3(x(x+3)-1(x+3))\\=3(x+3)(x-1)[/tex]
So, the sign function is,
Therefore, [tex]f'(x)>0[/tex] when [tex]x\in (-\infty ,-3)\cup (1,\infty )[/tex]
So, [tex]f(x)[/tex] is increasing on [tex]x<-3[/tex] or [tex]x>1[/tex]
Hence, the correct option is an option (c).
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A cirdie is divided up into 24 equal pieces. What percentage of the total circle area will each piece be? Round to the nearest
percent
A 2%
B. 8%
C 7%
D4%
Answer:
4 %
Step-by-step explanation:
100/24=25/6=4 1/6
leyes logicas de la matematica
Step-by-step explanation:
Leyes conmutativas. ...
- Leyes asociativas. ...
- Leyes distributivas. ...
- Leyes de idempotencia. ...
- Leyes de Morgan.
Find the common difference in the arithmetic sequence, an, in which a3=11 and a12=74.
Answer:
d=7
Step-by-step explanation:
Please help me solve this.
Answer:
The function is increasing on the intervals (-∞, -1) and (2, ∞)
The function is decreasing on the intervals (-1, 2)
The domain of the function is (-∞, ∞)
Step-by-step explanation:
In order to see where the function is decreasing or increasing, check the x values to see where it is the rise and where it is fall. The domain of the function is never-ending so it is (-∞, ∞)
What is the value of the expression when x = 5? 3x^2 + 14 - 10x
Answer: 39
Step-by-step explanation:
Let f(x)=x−1. The graph of g(x)=f(x)+k is shown below. Identify the value of k.
Explanation:
The linear equation f(x) = x-1 has the y intercept -1. We can see this by comparing it to y = mx+b and see that b = -1. Or we could plug in x = 0 to get the output y = -1.
The graph shows the y intercept is y = 3. The jump from y = -1 to y = 3 is plus 4. This means the graph of f(x) has been moved up 4 units. Therefore, k = 4.
Since y = f(x), saying g(x) = f(x)+k = f(x)+4 means we add 4 onto each y value. This indicates every point on the f(x) line moves up 4 units to arrive at a corresponding point on the g(x) line.
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A box shaped like a rectangular prism has a height of 8 inches, a width of 6 inches, and a volume of 240 cubic inches. What is the length?
7 inches
6 inches
5 inches
4 inches
Answer:
7 inches..............
Answer:
8
Step-by-step explanation:
Volume = Length * Width * Height
512 = 8*8*Height
Height = 512/64=8
Solve for w.
-9 – 7W = -9 – 8w
Answer:
Step-by-step explanation - w= o