Answer:
When dividing fractions, you keep the first fraction the same, change the problem into a multiplication problem, and flip the second fraction.
5/6 x 3/1 = 15/6 = 2 3/6
Step-by-step explanation:
[tex]x^{2} -x-6[/tex]
Answer:
1. (x-3)(x+2)
2. (x-5)(x-3)
3. x= 2,1
4. x= -2,-4
5. x= 3,-7
6. x= 1,-8
7. x= 5,-7
8. x= -1/3,-2
Step-by-step explanation:
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
8n + 5 = 77
this is for middle school
Answer:
n=9
Step-by-step explanation:
Answer:
n=9
Step-by-step explanation:
8n+5=77
8n=72
n=9
Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?
Answer:
$75.6
Step-by-step explanation:
5%of 72 = 3.6
72+3.6 = 75.6
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
The best description of a dilation of a figure is?
Answer:
an enlargement or a reduction of the figure
a slide of the figure
a turning of the figure about some fixed point
a mirror image of the figure
The best description of a dilation of a figure is a slide of the figure.
What is dilation?
A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.
Now,
The best description of a dilation of a figure is a slide of the figure.
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3-4/5X-2/3–3/15+3/5divided by -3/2
Answer:
-2(6x-13)/15
Step-by-step explanation:
This is done by simplifying the expression as well as combining like terms
Linear inequality systems graphically
2. What is the product of the following expression?
2x(x2 + x-5)
A. 2x3 + x-5
B. 2x3 + 2x – 10
C. 2x3 + 2x2 – 5x
D. 2x3 + 2x2 – 10x
(Please help)
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
Step-by-step explanation:
Square is x meters on each side.
Area of square = x²
Width of rectangle = x+1
Length of rectangle = x+4
Area of rectangle = (x+1)(x+4) = x²+5x+4
Combined area = 2x²+5x+4 = 33
2x²+5x-29 = 0
x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4
which represents the solution to the inequality -3x +5 > 14?
Answer:
x < -3
Step-by-step explanation:
Find the value of x in the image above
Answer:
Step-by-step explanation:
4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6
Answer:
No clue what the answer is...
Solve each equation b+3.3=8.9 what is b?
the answer will be 5.6 !
you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.
please mark brainliest if this was useful ♡
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide.
Answer:
The length of the fish tank is 17 inches.
Step-by-step explanation:
The volume of a rectangular prism is length × breadth × height.
You already know the volume, breadth, and height, so you can find the length.
Length = 2244 ÷ 12 ÷ 11
= 17 inches
The height of the tank is 17 inches.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
The shape of the fish tank is rectangular prism.
The formula to calculate the volume of the rectangular prism is,
Volume = Length × Width × height
Given,
Volume of the tank = 2,244 cubic inches
Length = 12 inches
Width = 11 inches
Let x be the height.
Substituting the given values,
2,244 = 12 × 11 × x
x = 2244 / (12 × 11)
x = 2244 / 132
x = 17 inches
Hence the height of the tank is 17 inches.
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Your question is incomplete. The complete question is given below.
Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work
Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003
Step-by-step explanation:
Mean x¯¯¯ 58003
Median x˜ 58003
Mode 58003
Range 3
Minimum 58002
Maximum 58005
Count n 7
Sum 406021
Quartiles Quartiles:
Q1 --> 58002
Q2 --> 58003
Q3 --> 58003
Interquartile
Range IQR 1
Outliers 58005
copy machine goes brr
Find the sum.
5y+2/xy^2 + 2x-4/4xy
[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]
or just (xy+8y+4)/2xy^2 if u can't see the equation
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
Simplify the expression, then we have
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]
⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]
⇒ (20y + 8 + 2xy - 4y) / (4xy²)
⇒ (16y + 2xy + 8) / (4xy²)
⇒ (8y + xy + 4) / (2xy²)
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
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Please help.... I don’t understand
Answer:
$5
Step-by-step explanation:
Set up a system of equations
let b be the cost of a bow
let w be the cost of a roll of wrapping paper
This means that
[tex]5b + w = 10\\b + w = 6[/tex]
Subtract the two equations
[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]
Plug this into the equation b + w = 6
1 + w = 6
w = 5.
This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.
i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported
Answer:
for volume you multiple l*w*h so 2)432 4)1,216
PLEASE HELP!!! :(
Consider the following figure
What is BD?
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
Is the number 0.1875 rational or irrational
Solve the equation 2/3(9+x)=−5(4−x).
Answer:
the answer is x=6
Step-by-step explanation:
hoped I helped
what is the slope of this line?
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
hii please help i’ll give brainliest!!
answer is D because statement mentions about evelyn applying brake to stop the car.
brainliest
I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money