Answer:
An informal proof
Step-by-step explanation:
I just did this question
(It could be wrong though considering that they can be either formal or informal, it depends on the situation!)
Need HELP ASAP PLZ? The graph of the absolute value parent function, f(x)=|x|, is stretched horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x)=|6x|
B. g(x)=|1/6x|
C. g(x)=6|x|
D. g(x)=|x+6|
Transformations are used to move a function from one position to another. The function of g(x) is g(x) = x/6
Given:
f(x)=|x|
The rule of a horizontal stretch by factor k is: (x,y) = (x/k, y)
i,e
g(x) = f(x/k)
where k is 6
g(x) = f(x/6)
so, f(x/6) = x/6
Hence g(x) = x/6
What is transformation?In mathematics, a transformation is a function f, usually on some geometric basis, that maps the set X to itself, i.e. f X → X. Examples are linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and certain affine transformations such as rotations, reflections, and translations. Although it is common to use the expression transformation of a set with some function to itself, there is an alternative form of terminology where the expression "transformation" is reserved for conjecture only. If such a narrow definition of a transformation is generalized to partial functions, then a partial transformation is a function f: A → B, where both A and B are subsets of some set X.
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A line passes through the points (–4,4) and (12,0). Which points lie on the same line? Select all that apply.
All the points (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line.
To determine which points lie on the same line passing through (-4, 4) and (12, 0), we can use the equation of a line.
First, we find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two given points.
m = (0 - 4) / (12 - (-4)) = -4 / 16 = -1/4.
Now that we have the slope, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1),
where (x1, y1) is any point on the line.
Let's check which points satisfy this equation:
(20, -2):
-2 - 4 = (-1/4)(20 - (-4)),
-6 = (-1/4)(24),
-6 = -6.
The equation is true, so (20, -2) lies on the same line.
(-2, 2):
2 - 4 = (-1/4)(-2 - (-4)),
-2 = (-1/4)(2),
-2 = -2.
The equation is true, so (-2, 2) lies on the same line.
(4, 2):
2 - 4 = (-1/4)(4 - (-4)),
-2 = (-1/4)(8),
-2 = -2.
The equation is true, so (4, 2) lies on the same line.
(8, 1):
1 - 4 = (-1/4)(8 - (-4)),
-3 = (-1/4)(12),
-3 = -3.
The equation is true, so (8, 1) lies on the same line.
(-8, 5):
5 - 4 = (-1/4)(-8 - (-4)),
1 = (-1/4)(-4),
1 = 1.
The equation is true, so (-8, 5) lies on the same line.
(16, -1):
-1 - 4 = (-1/4)(16 - (-4)),
-5 = (-1/4)(20),
-5 = -5.
The equation is true, so (16, -1) lies on the same line.
In summary, all of the given points: (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line passing through the points (-4, 4) and (12, 0).
For more question on points visit:
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Note the complete question is
A line passes through the points (-4, 4) and (12, 0) . Which points lie on the same line? Select all that apply: (20_ -2) (-2, 2) (4, 2) (8, 1) (-8, 5) (16, -1)
Find the slope and the y-intercept of the line: 6x + 7y = 52
Answer:
Slope is -6/7
Y-intercept is 52/7
Step-by-step explanation:
6x + 7y = 52
6x - 6x + 7y = 52 -6x
1/7 (7y = -6x + 52) 1/7
y = -6/7x + 52/7
Answer:
[tex]slope = - \frac{6}{7} \\ y-intercept = 7 \frac{3}{7} [/tex]
Step-by-step explanation:
Let's rewrite the equation into the form of y=mx+c, where m is the slope and c is the y-intercept.
6x +7y= 52
7y= -6x +52 (-6x on both sides)
[tex]y = - \frac{6}{7} x + 7 \frac{ 3}{7} [/tex]
Thus,
[tex]slope = - \frac{6}{7} [/tex]
[tex]y-intercept = 7 \frac{3}{7} [/tex]
Alternatively, since y-intercept is when the line cuts through the y- axis (at x=0), substitute x= 0 to find the y-intercept.
6x +7y= 52
When x=0,
6(0) +7y= 52
7y= 52
y= 52 ÷7 (÷7 on both sides)
[tex]y = 7 \frac{3}{7} [/tex]
In the summer, Tetro cycles 39 miles every 3 days. How many miles does he cycle every 8 days?
Answer:
It would be 91, right?
Step-by-step explanation:
If you multiply 39×2, you get 78. Then you would divide 39 by three which would give you the answer of 13. You would then add those together to get 91.
what is 36 as a product of its own prime factors
Write the prime factors in order from smallest to largest
The answer is:
⇨ 2 × 2 × 3 × 3Work/explanation:
The factors of 36 are:
4 × 9
But, these are not prime factors so we break them down even more :
2 × 2 × 3 × 3
This is how we write 36 as a product of its prime factors.
We could also use 6 × 6, then:
2 × 3
2 × 3
2 × 3 × 2 × 3
Rearrange from smallest to largest:
2 × 2 × 3 × 3
Once again we get the same answer.
Hence, that's the right answer.A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 25 minutes ? In 1 hour?
it will travel about 2 4/5 in 25 minutes i think
Answer:
16 2/3
Step-by-step explanation:
1 1/2x2 1/4 = 2/3
Multiply that by your minutes (25) and you will get 16.6666
Convert to a fraction and u will get 16 2/3 miles in 25 minutes
40 miles in an hour
Identify the slope of the line using the 2 points
(8,-2), (7, -12)
0-10
10
-TO
1
10
10
Answer:
[tex] \frac{1}{10} [/tex]
Which line is written in slope intercept form with m = -3 and b = 5?
A.) y=5x-3
B.)y=-3x+5
C.)-3x+5y=2
D.)y= -3/5x
Answer:
B , y = -3x + 5 hope this can help you !
Which point lies on the line with a slope of m=2/3 that passes through the point (-3,-2)?
A. (3,4)
B. (5,7)
C. (-8,-4)
D. (-9,-6)
Answer:
D. (-9,-6)
Step-by-step explanation:
Use the given slope and point to solve for y using the point-slope equation.
y-y = m(x - x)
m= 2/3 (-3, -2)
y + 2 = 2/3(x + 3)
y + 2 = 2/3x + 2
y = 2/3x
Then plug in the x's in the points that you can choose from. If the y equals the y in the given point that is the answer.
( 3,4) y = 2/3(3) = 2
( 5,7) y = 2/3(5) = 10/3
( -8, -4) y = 2/3(-8) = - 16/3
( -9, -6) y = 2/3(-9) = -6
Convert the polar coordinate
to Cartesian coordinates.
Answer:
(-4√3, -4)
Step-by-step explanation:
To convert polar coordinates (r, θ) to Cartesian coordinates (x, y), you can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
In this case, the polar coordinates are (8, 11π/6). Let's substitute the values into the formulas:
x = 8 * cos(11π/6)
y = 8 * sin(11π/6)
Now, let's calculate the values:
x = 8 * cos(11π/6) ≈ 8 * (-√3/2) ≈ -4√3
y = 8 * sin(11π/6) ≈ 8 * (-1/2) ≈ -4
Therefore, the Cartesian coordinates for the given polar coordinates (8, 11π/6) are approximately (-4√3, -4).
If the discriminant of a quadratic equation is equal to 10, which statement describes the roots?
aThere are two complex roots.
bThere is one real root.
cThere are two real roots.
dThere is one complex root.
When converting a fraction to adecimal the numerator is the
A. Divisor
B. Dividend
C. Quotient
-1 7/8 divided by -6 equals
Exact Form:
5/16
Decimal Form:
0.3125
hope i get brainlest :3
10 pts
Write an expression for the following situation:
You're planning to take all of your family to Houston Lake Cinemas. The price of
admission for adults is $11.00 and the price for children age 12 and under is $7.00.
How much will it cost for 3 adults and 2 children to attend the event?
Answer:
c=11*3+7*2
Step-by-step explanation:
this is what i need help with
Answer:
B) 60
Step-by-step explanation:
They both equal each other,
5x+15=7x-3
And solve!
15+3=7x-5x
18=2x
X=9
Plug X into the angels.
5(9)+15
45+15
60
(x^-6)^5 help... what is the answer
Answer:
1/x^30
Step-by-step explanation:
(x−6)5
=(x−6)5
=x(−6)(5)
=x−30
=1/x^30
Hope this helps :)
Answer:
It's all in the screenshot. Bottom number!
Step-by-step explanation:
If you need more help, feel free to follow up in the comments below! :PJoyce sees a credit card offer advertising 0% APR. Which of the following is least likely true?
Answer: 0% offer lasts indefinitely, as long as you always make at least your minimum monthly payment.
Step-by-step explanation: Since the person who gave you this answer was trying to be vain, I'll tell you the answer. Usually, 0% APR lasts for at most 18 months. It is impossible for it to last forever. So, in conclusion the answer that 0% lasts indefinitely is false and is least likely to be true.
Please make Brainliest!
Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she
played. She does not want to spend more than $23.00. Write an inequality that could be used to
determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES. *
(1 Point)
Answer:
[tex]3.50 + 6.5g \leq 23.00[/tex]
Step-by-step explanation:
Given
[tex]Base\ Fee = \$3.50[/tex]
[tex]Additional = \$6.50[/tex] per game
[tex]Maximum = \$23.00[/tex]
Required
Represent as an inequality
Let the number of games be g
Payment for g games would be
[tex]Payment = Base\ Fee + Additional * g[/tex]
[tex]Payment = 3.50 + 6.5 * g[/tex]
[tex]Payment = 3.50 + 6.5g[/tex]
Since, her maximum payment is 23.00;
The inequality would be [tex]3.50 + 6.5g \leq 23.00[/tex]
Please will give brainliest and thanks
Answer:
-14/15 - 1/3v
Step-by-step explanation:
[tex] - \frac{6}{5} - \frac{2}{3}v + \frac{4}{15} + \frac{1}{3}v \\ \ \\ - \frac{6}{5} + \frac{4}{15} = - \frac{14}{15} \\ \\ \\ - \frac{2}{3} v + \frac{1}{3}v = - \frac{1}{3} [/tex]
What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
What is the median of the sample 5, 5, 11, 9, 8, 5, 8 ?
Answer:
8.
Step-by-step explanation:
The median of any set of numbers is the middle-most number of the set when ordered from least to greatest. Ordering this set from least to greatest, we get "5, 5, 5, 8, 8, 9, 11." There are 7 numbers here, so the middle-most number is the 4th number, or 8. In the case that you have an even amount of numbers to choose, you take the average of the two middle-most numbers to find your median.
The median of the sample is the middle value of the data set which is number 8.
What is medians of the data set?Median of the data set is the middle value of the data when data is arranged in the increasing order or decreasing order.
The data of the sample given in the problem is,
[tex]5, 5, 11, 9, 8, 5, 8[/tex]
Arrange this data in the increasing order.
[tex]5, 5, 5, 8, 8, 9, 11[/tex]
There is total 7 observation in the above data. The middle value will be the fourth number observation, which is 8.
Hence, the median of the sample is the middle value of the data set which is number 8.
Learn more about the median here;
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The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 4 to 7. If there were 3496 yes votes, whats was the total number of votes.
Answer:
9614
Step-by-step explanation:
Let us take 4 in the ratio as 4 units.
If 4 units means 3496, let us first find how many votes 1 unit is made up of.
3496/4=874 (/ means divide sign. If you are writing the equations out, do remember to change it to the actual divide sign. Sorry for the inconvenience)
Let us find how what is the total number of units now!
4+7=11
Now that we found out the total number of units, and how many votes is each unit made out of, it is time to find the final answer by multiplying each other.
874x11=9614
Hope this helped! If you need another method, along with a different explanation, or separate, do comment below, so I can know. Any part you do not understand, please don't be afraid to tell me. If you think I can improve my answer, or change any parts to perhaps make it clearer, i'm open to suggestions!
Graph -2x+10+5y=0 using intercepts. Add two intercept points on the graph.
In the line plot above, how many of the students made six free throws?
A 5
B. 17
C. 7
D 6
The number of students that made six free throws is given as follows:
A. 5.
What is the dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
In this problem, we have five markers above the input of six, hence the number of students that made six free throws is of five.
This means that option A is the correct option in the context of this problem.
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You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width.
If each square yard of carpet costs $30.25, how much will the carpet cost you? Use your answer from the previous question to answer this question.
a.
$1,210
b.
$393.25
c.
$11,979
d.
$32,670
Answer:
403.33
Step-by-step explanation:
The price is in square yd not feet so change ft to yds
3 ft = 1 yd
12 ft = 12/3 = 4 yds
10 ft = 10/3 yds
A = l * w = 4 * 10/3 = 40/3 yd^2 = 13 1/3 yd ^2
Now multiply by the price per yd^2
13 1/3 yd^2 * 30.25 = 403.333333
Rounding to the nearest cent
403.33
charile buys an pack of 8 thank you cards for 1.20
Answer:9.6$
Step-by-step explanation:
you do 8 x 1.20 wich is 9.6$
ind all excluded values for the expression.
That is, find all values of v for which the expression is undefined.
3/8+4v
If there is more than one value, separate them with commas.
Answer:
2 answers
4x(4x−1)3−x. It looks like there are no common factors here, so we can't simplify it ... These are any values of x that make the denominator 0 (we can't have that, because that ... x=3. So the excluded value for this expression is x=3 ... factorise numerator by taking out a common factor of 4x ... the rational function undefined.
Step-by-step explanation:
A4cm x 6 cm rectangle sits inside a circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
4 cm
11 cm
6 cm
Answer:
355.94 cm squared
Step-by-step explanation:
Area of rectangle = 4 cm * 6 cm = 24 square cm
Radius (r) of circle = 11 cm
[tex]Area \: of \: circle = \pi {r}^{2} \\ \\ = 3.14 \times (11)^{2} \\ \\ = 3.14 \times 121 \\ \\ = 379.94 \: {cm}^{2} \\ \\ area \: of \: shaded \: region \\ \\ = 379.94 - 24 \\ \\ = 355.94 \: {cm}^{2} \\ [/tex]
Answer: 355.94 cm squared
Step-by-step explanation:
= 3.14 x (11)²
= 3.14 x 121
= 379.94 - 24
= 355.94 centimeters squared
Suppose θ is an angle in the first quadrant and cos(θ) = 1/2. What is the value of sin(θ)?
A. 1/2
B. √3/2
C. 3/5
D. -√3/3
Answer:
B. [tex] \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Since θ is in the first quadrant, both sin(θ) and cos(θ) are positive.
Using the Pythagorean identity,[tex]sin^2(θ) + cos^2(θ) = 1 [/tex]
we can solve for sin(θ) as follows:
[tex]sin^2(θ) + (\frac{1}{2})^2 = 1[/tex]
[tex]sin^2(θ) +\frac{1}{4}=1[/tex]
[tex]sin^2(θ) =1-\frac{1}{4}[/tex]
[tex]sin^2(θ) =\frac{3}{4}[/tex]
[tex]sin(θ) = \sqrt{\frac{3}{4}} = \frac{\sqrt3}{2}[/tex]
Therefore, the value of sin(θ) is[tex] \frac{\sqrt3}{2}[/tex]
Answer:
B
Step-by-step explanation:
given
cosΘ = [tex]\frac{1}{2}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
this is a right triangle with hypotenuse = 2 and a leg = 1
using Pythagoras' identity to find the third side o , the opposite side, then
o² + 1² = 2²
o² + 1 = 4 ( subtract 1 from both sides )
o² = 3 ( take square root of both sides )
0 = [tex]\sqrt{3}[/tex]
Then
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]
Simplify 3x-2y=6 for graphing
