Answers
9514 1404 393
Answer:
a) take it back to the author for clarification
b) use a graphing calculator
c) mark known points and draw the curve
Step-by-step explanation:
In the normal course of interpreting an algebraic expression, the evaluation of functions generally takes precedence over other operations. Here, that means this should be interpreted as ...
3·sin(1/2)·(x-1) +5
This is a (somewhat unusual) linear equation. It can be graphed by evaluating it for a couple of different x-values and drawing a line through the result. The first attachment shows a table of values and a graph of the line. (The slope of the line is an irrational value near 1.4382766 ≈ 105/73.)
__
It is common in Algebra studies to look at scaled and shifted versions of different functions. An alternative interpretation of the given expression would locate parentheses so that the sine function argument is clear:
[tex]y=3\sin{\left(\dfrac{1}{2}(x-1)\right)}+5[/tex]
This is the equation of a sine function vertically expanded by a factor of 3, vertically shifted by 5 units, horizontally expanded by a factor of 2, and horizontally shifted by 1 unit.
This can be graphed a couple of ways.
Relabel Axes
A way to do it is to draw a sine function (amplitude 1, period 2π, no vertical or horizontal shift), then relabel the axes so the function center-line is at y=5, the peak values are at +3 and -3 from that line, the period is 4π, and the whole graph is shifted right so the first upward center-line crossing is at x=1.
Choose Points
Perhaps an expected way to graph the function is to choose several values for x, find the corresponding y-values, and draw the curve through the points.
Recompute Points
Rather than relabel the axes or choosing random points, you could start with an (x, y) table of sine function values, then "adjust" those values as follows:
each x-value: multiply by 2 and add 1
each y-value: multiply by 3 and add 5
Plot the "adjusted" value pairs, and draw a curve through them. See the second attachment for a graph.
__
Comment on graphing
My preference for graphing anything that involves an electronically transmitted result or any detailed calculation is to use "technology". My current preference is a graphing calculator. Spreadsheet programs can also do a decent job of graphing, given enough points to work with.
Related Questions
Given the function. f(x)=x^2+5x-8
Find f (2).
Answers
Answer:
f(2)=6
Step-by-step explanation:
f(2)=2^2+5(2)-8
f(2)=4+10-8
f(2)=14-8
f(2)=6
Sally is baking a cake. The recipe calls for 9 cups of flour. She already put in 3 cups. How many more cups does she need to add ?
Answers
Answer:
6 cups
Step-by-step explanation:
Answer:
6 cups.
Step-by-step explanation:
9-3=6
she already added 3
there's 9 total
6 more to add
please help me !!! anything helps
Answers
write a quadratic polynomial with roots 7 and -5
Answers
Answer:
x²-2x-35
Step-by-step explanation:
(x-7)(x+5)
x²+5x-7x-35
x²-2x-35
Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-coordinate of 3?
Answers
Answer:
The value of the y-coordinate is -706
Step-by-step explanation:
The equation of a straight line is;
y = mx + c
where m is slope and c is t-intercept
Given the slope, we can write the equation as;
y = -79x + c
we need to get c
Just put in the x and y values of the given point
X = -6 and y = 5
5 = -79(-6) + c
5 = 474 + c
c = 5-474 = -469
So the complete equation of the line would
be ;
y = -79x - 469
To get the y-coordinate of the point, just insert the x value into the equation;
y = -79(3) - 469
y = -237 - 469 = -706
Find m angle MOP if m angle MON =4x+9 and m angle MOP =3x-3
Answers
Answer:
33
Step-by-step explanation:
Measure of ∠MOP is equals to 71.7°.
What are supplementary angles?
" Supplementary angles are those angles whose sum is equals to 180°."
According to the question,
∠MOP = 3x - 3
∠MON = 4x + 9
As ∠MOP and ∠MON has common arm OM.
Therefore, ∠MOP and ∠MON are supplementary angles.
As per definition of supplementary angles we have
∠MON + ∠MOP = 180°
Substitute the value of ∠MOP and ∠MON we get,
4x + 9 + 3x - 3= 180°
⇒7x - 6 = 180°
⇒7x = 174
⇒ x = 24.9 (round off)
Substitute the value of x in measure of ∠MOP we get,
∠MOP = 3(24.9) -3
= 71.7°
Hence, measure of ∠MOP is equals to 71.7°.
Learn more about supplementary angles here
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What’s 600 plus 9,000.
Answers
600+9,000= 9,600
Best way to solve this:
9,000
+ 600
----------
9,600
Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many baseball cards remain in Ryan's collection? 127 cards 90 cards 117 cards 126
Answers
Answer:
117 cards
Step-by-step explanation:
Total number of cards in the collection of Ryan = 216
Number of cards given to his brother = ⅓ of 216 = ⅓ × 216 = 216/3 = 72
Number of cards given to his friend at school = 27
Number of baseball cards that Ryan has remaining = 216 - (72 + 27)
= 216 - 99
Number of cards remaining = 117 cards
Hendrick's Honda is having a contest to win a new Honda Civic. To win a chance at the car, you must guess the number of keys in a jar within 5 of the actual number. The people who are within this range get to try a key in the ignition of the Civic. Suppose there are 697 keys in the jar.
Answers
Answer:
The valid range is 697 to 702
Step-by-step explanation:
The question is incomplete; However, the requirement would likely be to determine the valid range which users can guess
Given
[tex]Keys = 697[/tex]
[tex]Difference = 5[/tex]
First, we need to determine the minimum
[tex]Minimum = Keys - Difference[/tex]
[tex]Minimum = 697 - 5[/tex]
[tex]Minimum = 697[/tex]
Next, we determine the maximum
[tex]Maximum = 697 + 5[/tex]
[tex]Maximum = 702[/tex]
Hence:
The valid range is 697 to 702
Michealle purchased a kids table with a square top if the area of the square top is 400 sqaure inches what is the length of one of the sides
Answers
Mark used a number line to model dividing by 3. He
divided the number line from 0 to 1 in 3 equal sections,
and then divided each of those sections into 2 equal
parts. Mark says § + 3 is į
Is his answer correct? Explain why or why not.
PLS ANYBODY HELP ME ON THIS 20 points
Answers
Answer: No, he is incorrect
Step-by-step explanation:
No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.
What will be the length of third side of a right angled triangle whose hypotenuse is 5 cm and one of the side is 3 cm? What will be the length of third side of a right angled triangle whose hypotenuse is 5 cm and one of the side is 3 cm?
Answers
Answer:
4
Step-by-step explanation:
You would use a^2+b^2=c^2
a^2+3^2=5^2
a^2+9=25 subtract nine from both sides
a^2=16
find the square root of 16 which is 4
so the other side of the triangle is 4
Answer:
4 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the 3 rd side, then
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ( take the square root of both sides )
x = [tex]\sqrt{16}[/tex] = 4
The third side is 4 cm
Those are the awnsers that I have to match with the questions help plz!
Answers
Answer:
1. symmetric
2.Transitive
3. Reflective
4. Symmetric
5. Reflective
6. Transitive
Step-by-step explanation:
MARK ME AS BRAINLIEST
If 3/7 is written as a decimal, will the digits after the decimal eventually repeat?
Answers
Answer:yes
Step-by-step explanation:
Yes, If 3/7 is written as a decimal then the digits after the decimal eventually repeat.
What is Number system?A number system is defined as a system of writing to express numbers.
Yes, the decimal representation of 3/7 will eventually repeat.
To convert the fraction 3/7 to a decimal, we can use long division.
Three by seven is a fraction, A fraction represents a part of a whole.
3/7 = 0.42857142857
The digits after the decimal point begin to repeat after the first six digits. Therefore, the decimal representation of 3/7 is 0.428571, with the digits 285714 repeating indefinitely.
Hence, If 3/7 is written as a decimal then the digits after the decimal eventually repeat is true.
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Thomas got a haircut from the barber. If the haircut cost $32 and he wants to leave a 18% tip, how much will he pay in total
Answers
Answer:
$37.76
Step-by-step explanation:
32*1.18=37.76.
Hope this helps!
Explanation:
There are two different maps of California.
The scale on the first map is 1 cm to 20 km. The distance from Fresno to San Francisco is 15 cm.
The scale on the second map is 1 cm to 100 km.
What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.
Include your answer in your response: The distance on the second map is _______ because __________.
if someone helps me on this I'm giving them a lot of points,
Answers
Answer:
the distance from Fresno to San Francisco on the second map is 75cm
Step-by-step explanation:
The scale on the first map is 1 cm to 20 km
The distance from Fresno to SanFrancisco is 15 cm
1cm/20km = 15cm
The scale on the second map is 1 cm to 100 km.
1cm/100km = x
X= 15cm*100km/20km *1cm/1cm
X=15cm *5
X= 75 cm
the distance from Fresno to San Francisco on the second map is 75cm
greatest common factor of x squared times y plus x cubed times y squared
Answers
Answer:
x²y³
Step-by-step explanation:
x²(y + x³)(y²)
(x²y + x²y³)(y²)
x²y³ + x²y⁵
The gcf is x²y³
If y=35 when x=140, what is the value of y when x=70?
Answers
Answer:
140/70= 2
35/2= y when x=70
Step-by-step explanation:
very simple 50+3x=5x
Answers
Answer:
x=25
can you also please mark me as brainliest?
Answer:
the answerof the question is 6.25
What is an equation of the line that passes through the points :
(−6,−5) and (−6,−2)?
Answers
Answer: x= -6
Step-by-step explanation:
It will be a vertical line parallel to the y-axis at -6 on the x-axis. It passes through every y-value, including the given -5 and -2
how far would a 4.0 cm tall object be located from a reflecting surface with a focal lenght that is equal to 5 cm if it is to create an image seen 15 cm behind the mirror. Determine the image size
Answers
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
Use the mirror equation:
1/di + 1/do = 1/f
where di = -10 cm and f = +15 cm. (Note that di is negative if the image is virtual.)
Substitute and solve for do.
1/do + 1/(-10 cm) = 1/(15 cm)
1/do = 1/(15 cm) - 1/(-10 cm) = 5/(30 cm)
do = 6 cm
Hope it helps you
Regards,
Rachana
Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?
Answers
Answer:
Crafts books: 7
Cookbooks: 13
Step-by-step explanation:
Let x be the crafts book
Let y be the cookbooks
Solve for x:
Plug x and y in: x + y = 20Re-write: y = x + 6Plug in x + 6 instead of y: x + x + 6 = 20Combine like terms: 2x + 6 = 20Subtract 6 from each side, so it now looks like this: 2x = 14Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7Solve for y:
Re-use an equation from above: y = x + 6Plug in the value of x: y = 7 + 67 + 6 = 13So, y = 13I hope this helps!
A bushel had a total of 68 apples. 25% of the apples were green and the rest of the apples were red. How many more red apples were there than green? STEP BY STEP EXPLANATION PLS
Answers
2. There are 17 green apples
3. There are 51 red apples
4. 51-17= 34
5. There are 34 more red apples than green
Write fractions for points A and B on the number line. (yup, I'm dumb)
Answers
Answer:
2/6 = A and 5/6 =B
Step-by-step explanation:
the line is split into 6 segments. so this means each little line is 1/6. if each line is 1/6, 2 lines, which is A, is 2/6 and 5 lines is 5/6. just multiply 1/6 * th number of lines from the start of the line to the letter
The fraction for point A on the number line will be 2/6 and the fraction for point B will be 5/6 respectively.
What is a fraction?Parts of an entire or group of items are represented by fractions. Each fraction has two components. The numerator refers to the number at the top of the line. It indicates how many equal portions of the total or collection are taken. The denominator refers to the figure below the line. It displays how many identical things there are in a collection or how many total equal elements there are to a whole.
There are several types of fractions some of them are :
Unit FractionProper FractionImproper FractionMixed fraction etc.According to the question, the number line is divided into 6 parts. Points A and B are on the number line.
The fraction for point A = 2/6 and,
The fraction for point B = 5/6
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ILL MARK YOU AS BRAINLESS PLS HELP ME
Answers
Answer:
A. yes
B. yes
Step-by-step explanation:
In both nets, the rectangles can be folded to touch every edge of both triangular bases.
Answer: Disagree.
Step-by-step explanation:
I Disagree because the Triangles in Exhibit B have only 2 equal sides while the triangles in A have all equal sides.
A sixth-grade basketball team has 3 centers,
5 forwards, and 6 guards.
5. Forwards to guards
6. Centers to total players
7. Guards to centers
Answers
Use a calculator to find the square root of the number to two decimal places.
Square root of 52
Answers
Answer:
7.21
Step-by-step explanation:
A dice is rolled 50 times.
Answers
Answer:
(a) 9/50=0.18
(b) 12/3000=4×10^-3
answer this math question for 15 points please
Answers
Answer:
.......
Step-by-step explanation:
Which postulate would prove the triangles congruent?
ASA
AAS
SSS
SAS
Answers
Answer:
AAS
Step-by-step explanation: