Answers
For the second one, sin(x) (including any x value)has a range of [-1, 1] so 2sinx would have a range from [-2, 2] and the range for 2sinx-2 would be
[-4, -2] with the minimum being -4. For g(x), squaring something makes it positive, meaning that the minimum of (x-3)^2 would be 0. 0-1 would be -1. For h(x), the lowest is clearly -6, and -6 is lower than both -1 and -4, mking h(x) the smallest
Related Questions
Michael is three times as old as Margaret, and in 6 years he will be twice as old as her. How old was Michael when Margaret was born?
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Answer:
12 years old
Step-by-step explanation:
m = Michael
a = Margaret
m = 3a
m+6 = 2(a+6)
m+6 = 2a+12
Two equations, two unknowns, so we can use substitution.
3a+6 = 2a+12
a+6 = 12
a = 6
Plug it back in.
m = 3(6)
m = 18
When Michael was 18, Margaret was 6. So when she was born (basically when she was 0) Michael was 18-6 = 12.
Answer:
Michael was 12 years old when Margaret was born.
Step-by-step explanation:
Let Michael be x and Margaret be y.
x=3y
x+6 (years) = 2(6+y) --> x+6=12+2y --> x=6+2y
Now that we have x, substitute x=3y:
6+2y=3y --> y=6
Now we have y, substitute again with x=3(6) --> x=18
So, Michael, x, is 18 years old. Margaret, y, is 6 years old. But, to find how old Michael was when Margaret was born, do 18 (Michael's age)-6 (Margaret's age) to get 12. So, Michael was 12 years old when Margaret was born. Hope that helped, sorry if I missed something... :D
The sum of three consecutive even integers is 378. what is the largest of the three integers
Answers
The largest of the three integers is 127.
It is required to find the largest of the three integers.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Given that:
Let's assume, that first number is "x", than second number will be "x + 1" and third one is "x + 2".
x + (x + 1) + (x + 2) = 378
x + x + 1 + x + 2 = 378
3x + 3 = 378
3(x + 1) = 378
Divide by 3
x + 1 = 126
x = 125
The first number is 125, second number is 126 and third number is 127.
So, the largest of the three integers is 127.
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A rectangular garden is fenced on all sides with 160 feet of fencing. The garden is 6 feet longer than it is wide. What is the area of the garden?
Answers
so 4x + 12 = 160 feet (now we solve for x)
4x = 148
x = 37
and since the other side is 6 ft longer we add
37 + 6 = 43
area is L x W
37 x 43 = 1591 sq ft . hope this helps
give thanks and if someone else answers give me brainliest
q+5/9=1/6
what is q?
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q = 1/6 - 5/9 . in order to subtract you need to find lcd
q = -7/17
hope this helps . give brainliest thanks
q+5/9=1/6
Step 1: Subtract 5/9 from both sides
q+59−59=16−59
q=−7/18 =
Answer:q=−7/18
If the correlation between variables is .60, what is the coefficient of alienation?
Answers
We can calculate the coefficient of alienation by using the following formula;
1 - r²
where r is the correlation between variables.
Coefficient of alienation = 1 - (0.60)²
= 1- 0.36
= 0.64
So, 0.64 is the coefficient of alienation when the correlation between variables is 0.60.
Use the graph below to answer the question that follows:
What trigonometric function represents the graph? (6 points)
Select one:
a. f(x) = −3 sin(x − pi over 2 )
b. f(x) = −3 cos(x − pi over 2 )
c. f(x) = 3 cos(x − pi over 2 )
d. f(x) = 3 sin(x − pi over 2 )
Answers
[tex]if\ x=0\ then \\ a)f(x)=-3*sin(-\dfrac{\pi}{2})=-3*(-1)=3\ and\ not \ 0\\ d)f(x)=3*sin(-\dfrac{\pi}{2})=3*(-1)=-3\ and\ not \ 0\\ \\\\ if\ x= \dfrac{\pi}{2} \ then\ \\ b)f(x)=-3*cos(0)=-3\ and\ not\ 3\\ [/tex]
So answer C
The trigonometric function which represents the graph is:
c) [tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Step-by-step explanation:From the graph we may observe that when x=π/2 we have the value of the function f(x)= 3
Hence, we will check in which this point hold true:
a)
[tex]f(x)=-3\sin (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=-3\sin (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=-3\sin (0)\\\\\\f(x)=0\neq 3[/tex]
Hence, option: a is incorrect.
b)
[tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=-3\cos (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=-3\cos (0)\\\\\\f(x)=-3\neq 3[/tex]
Hence, option: b is incorrect.
d)
[tex]f(x)=3\sin (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=3\sin (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=3\sin (0)\\\\\\f(x)=0\neq 3[/tex]
Hence, option: d is incorrect.
c)
[tex]f(x)=-3\cos (x-\dfrac{\pi}{2})[/tex]
Now, when x=π/2 we have:
[tex]f(x)=3\cos (\dfrac{\pi}{2}-\dfrac{\pi}{2})\\\\\\f(x)=3\cos (0)\\\\\\f(x)=3[/tex]
Similarly we will see that the value of this function matches all the points that on the graph.
Hence, option: c is correct.
Write the slope intercept equation of a line that passes through points (-3,4) and (2, -6)
Answers
-6-4 / 2-(-3)
-10/5
-2
Then plug one set of coordinates and the slope in to find the b value
-6= -2(2)+b
-6=-4+b
-2=b
Final answer: y=-2x-2
A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
Answers
Answer:
The acceptable range will be : 15.85 oz to 16.15 oz
Step-by-step explanation:
Let the weight of the box be = x
As given,
If the discrepancy in weight is more than 0.15 oz, the production is stopped.
And if the discrepancy in weight is less than 0.15 oz then the production will continue.
We can express this as : If [tex]|x-16| \leq 0.15[/tex] ; the production continues
[tex]|z| \leq a[/tex] or we can say
[tex]-a\leq z\leq a[/tex]
Now, z = x-16, and a=0.15, then the value becomes,
[tex]-0.15 \leq x-16 \leq 0.15[/tex]
Solving for x:
We get the final range as :
[tex]-0.15+16 \leq x-16+16 \leq 0.15+16[/tex]
[tex]15.85\leq x \leq 16.15[/tex]
Therefore, the answer is : [tex]15.85\leq x \leq 16.15[/tex]
It should be noted that the range that's acceptable will be 15.85 oz and 16.15 oz.
How to calculate the range.From the information, the discrepancy in weight is about 0.15 oz. The lowest weight will be:
= 16 - 0.15 = 15.85 oz
The highest weight will be:
= 16 + 0.15 = 16.15 oz.
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A club decides to sell t-shirts for $15 as a fundraiser. It cost $20 plus $9 per t-shirt to make the t-shirts. Write and solve an equation to find how many t-shirts the club needs to make and sell in order to profit at least $152?
A. 15x - (9x+20) greater than or equal to 150; x greater than or equal to 28.33
B. 15x-9x + 20 greater than or equal to 150; x greater than or equal to 20
C. (8x+20) -15x greater than or equal to 150; x greater than or equal to 20
D. 15x -9 (x+20) greater than or equal to 150;x greater than or equal to 20
Answers
Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.
Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:
150 ≤ 15x - (20 +9x)
The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,
150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.
To pay for a swimming pass, Cameron earned $65 by mowing lawns. Cameron plans to go swimming for 10 weeks this summer. He can buy a pass for $60, pay the regular price of $1.25 each time, or buy a permit for $25 plus 50 cents each time he swims. Cameron estimates that he will go swimming 5 times per week. Which is the best deal?
Answers
that is the answer
Y = 1/2x - 6
Is this a function?
Answers
When you graph it, it creates a straight line since it is linear. It has a slope that is not undefined so therefore each x value has a unique y value, thus making it a function.
Hope this helps!
Answer:
what about y=(x - 5 to the 2nd power is it linear
15/16 × 5/6
Reduce your answers to simplest form
Answers
15/6 x 5/6 = 75/96 = 25/32
(divide by 3)
OR
(simplify by 3. cross out 15 and get 5--->)15/16 x 5/6(<---simplify by 3. cross out 6and get 2) =
and thats what u get
5/16 x 5/2 = 25/32
Point Z on a coordinate grid is at (-1,3). If the point is reflected across the line y=-x, what are the coordinates of its image?
Answers
x,y > -y,-x
Therefore (-1,3) is (-3,1)
round the number to the given place value
24.617 hundredths
A.24.61
B 24.62
C.24.65
D.24.67
Answers
the order is
< -etc. hundred thousands, ten thousands, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, ten thousands, etc ->
hope this helps :D
Mathematically, what is the correct way to write a speed of 100 meters per second?
Answers
Also note that a negative power in the numerator is equivalent to a positive in the denominator.
Example:
1/s = s^-1
1/(s^2) = s^-2
Based on this:
100 meters per seconds can be written as:
100 m/s , or
100 ms^-1
please help thank you very much.
Answers
Give three solutions to the equation y = 3 x + 4 y=3x+4 . give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
Answers
Final answer:
To find three solutions to the equation y = 3x + 4, you can choose different values for x and calculate the corresponding values of y. Three solutions are (0, 4), (1, 7), and (-1, 1).
Explanation:
The equation y = 3x + 4 represents a linear equation in slope-intercept form, where the coefficient of x is the slope and the constant term is the y-intercept. To find three solutions to this equation, we can choose different values for x and calculate the corresponding values of y.
If x = 0, then y = 4. So one solution is (0, 4).If x = 1, then y = 7. So another solution is (1, 7).If x = -1, then y = 1. So the third solution is (-1, 1).Trina and Jessie went on a vacation. Trina went scuba diving with an elevation of -85.6. Jessie went hand gliding with an altitude of 87.9 meters . Which is above sea level
Answers
so anything above sea level is positive and anything below sea level is negative. So Jessie, who is at an altitude of 87.9 meters, is above sea level
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll
Answers
distance = 663 / tan (7)
distance = 663 / 0.12278
distance = 5,400 meters = 5.4 kilometers
PLEASE HELP WILL MARK THE BRAINLIEST
1. How many solutions can a quadratic equation have and why does it vary? How would the corresponding graphs look like?
2. Describe the process of graphing a quadratic equation without using graphing technology.
3. Apply the projectile formula to a real-world situation.
Answers
2. Find x and y intercepts of the equation. Calculate points at a constant intervals and plot points on graphing paper. Connect the points.
3. Following the movement of a ball through air? <-- not sure about this one
Hope I helped :)
Find the mean of the integers -16,-27,21,-19,14,-3
Answers
= -65+14
= -51
=> -51/6
=> -8.5
The mean of the integers -16, -27, 21, -19, 14, -3 is found by adding together all the numbers to get -30, and then dividing by the total number of values, which in this case is 6. This results in a mean of -5.
Explanation:The solution to this problem falls under the branch of Mathematics known as Statistics, which is the study of collecting, analyzing, interpreting, presenting, and organizing data. The term mean is frequently used in statistics, and it refers to the average of a set of numbers. In this case, you are required to find the mean of the set of integers -16, -27, 21, -19, 14, -3.
To compute the mean, you need to follow a simple two-step process: Add together all the numbers in the set, and then divide the total by the number of items in the set. For the numbers given in your case (-16, -27, 21, -19, 14, -3), you add these together which gives you a total of -30. There are 6 numbers in the set, so the mean would be -30 divided by 6, which equals -5.
Therefore, the mean of the integers -16, -27, 21, -19, 14, -3 is -5.
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Give an example of a cubic function
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Final answer:
A cubic function example is f(x) = x^3, which shows a curve with odd function symmetry that decreases with negative x values and increases with positive ones.
Explanation:
An example of a cubic function would be the function f(x) = x3. This function represents a basic cubic equation where the variable x is raised to the third power, or cubed. The graph of this function is a curve that demonstrates symmetry about the origin, with the curve decreasing for negative values of x and increasing for positive values. As x is cubed, it indicates that the function has an odd function symmetry.
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Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 85x + 15y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression. (3 points)
Part B: How many terms are in the expression, what are they, and how do you know? (4 points)
Part C: Which term in the expression shows the total earned from the dog-walking jobs? (3 points)
Answers
There are two terms in the expression: 85x and 15y
Since you are earning 15 dollars for each dog walking session, it is 15y.
2. A term is both a coefficient and a variable together. So there are two terms in this equation.
3. 85 dollars is earned for every shift for theater and 15 for every dog walking shift. So the 15y is the total earned for dog walking, where y is how many shifts Alfonso worked for.
how do i find the degree of x and y?
Answers
and what is "y"? well, y = 60 - 4x.
The ratio of men to women working for a company is 7 to 5 . if there are 105 men working for the company, what is the total number of employees?
Answers
Walt is mixing friut punch for a party. He combies 1 gallon 2 quarts 3 pints of ornge juice , 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. What is the total liquid measure of the punch?
A. 6 gal. 2 qt. 1 pt.
B. 6 gal. 2 qt. 2 pt.
C. 5 gal. 3 qt. 1 pt.
D. 6 gal. 3 qt. 1 pt.
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3-5x in verbal expression
Answers
Hope this helps!
The average gas mileage m in miles per gallon for a compact car is modeled by m(s) = -0.015(s - 47)^2 + 33, where s is the car's speed in miles per hour. The average gas mileage for an SUV is modeled by m(s) = -0.015(s - 47)^2 + 15. What kind of transformation describes this change, and what does this transformation mean?
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That means that the SUV does 18 miles per gallon less than the compact car.
Please help me with math question
Answers
MQ would be CQ-CM
21-17 = 4
MQ = 4
21-17 = 4
MQ = 4
A regular 18-sided polygon is rotated with the center of rotation at its center.
What is the smallest degree of rotation needed to map the polygon back on to itself?
Is it 180 degrees or 20 degrees? Or are both my answers wrong? :(
Answers
360 degrees / 18 sides = 20 degrees
the answer is 20 degrees