Answers
Related Questions
Nita finds that the expression (a + 1) 2 is sometimes, but
not always, greater in value than (a + 1) 3 when she evaluates both expressions
for the same value of a. How do you explain this finding?
Answers
I guess the expressions are supposed to be (a + 1)² and (a + 1)³.
Consider the inequality,
(a + 1)² > (a + 1)³
Move everything to one side:
(a + 1)² - (a + 1)³ > 0
Factorize the left side:
(a + 1)² (1 - (a + 1)) > 0
-a (a + 1)² > 0
a (a + 1)² < 0
Notice that the left side is exactly 0 if either a = 0 or a = -1.
Now consider the following 3 cases:
• If a < -1, then a is negative, while (a + 1)² is always non-negative, which means a (a + 1)² will always be negative.
• If -1 < a < 0, then again a is negative, so a (a + 1)² is also negative.
• If a > 0, then a (a + 1)² is always positive.
So the inequality is satisfied for all a in the interval (-∞, -1) ∪ (-1, 0). This is to say that (a + 1)² is always greater than (a + 1)³ if a is chosen from this domain.
Another way to look at this: assume a + 1 falls between -1 and 1. Whenever you scale a number between -1 and 1 by another number in the same range, the product will always be smaller than the original number.
More concretely, let's say a + 1 = 1/2. So for instance, 1/2 * 1/2 = (1/2)² = 1/4, and 1/4 is clearly smaller than 1/2. If we multipy again by 1/2, we get 1/2 * 1/2 * 1/2 = (1/2)³ = 1/8, which is smaller than 1/4.
kevin has $42 and is saving $8 per week. how many weeks must kevin save in order to have 138 altogether
Answers
Answer:
Kevin would have to save for 12 weeks.
Step-by-step explanation: The reason he would have to save for 12 weeks is that 8 times 12 is 96, and 96 + 42 is 138.
-6•f(-3) - 5.g(-7) =
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Ah, function problems, I had this in my math class around 2-3 weeks ago. So f and g is the function here.
TO SOLVE:
Simply look at where each plot is at. f(-3) is at (0, -3). So we will substitute -3 into f(-3).
Now, our equation should look like:
-6•(-3)-5•g(-7).
We can now take a look at the function, g. We can see that g(-7) lays at (-7, 6). We only need the Y here so it will be 6. Now, plug it in:
-6•(-3)-5•6=
=18-30
=-12
So thus, -12 is the answer!
If you believe this answer helped, please rate it! Please give me your honest opinion, meaning you may give me 1/5 depending on how good I explained so I can improve it!
A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 30 hours per week on fieldwork and 10 hours per week at the university's research center. Each professional researcher will need to work 12 hours per week on fieldwork and 28 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 163 and the minimum number of hours needed per week at the research center is 131. Each research assistant will be paid $246 per week and each professional researcher will be paid $407 per week. Let x denote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.a) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 10x + 28y ≥ 131, x ≥ 0, y ≥ 0b) Min C = 246x + 407y; s.t 12x + 30y ≤ 131, 28x + 10y ≤ 163, x ≥ 0, y ≥ 0c) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0d) Min C = 407x + 246y; s.t 30x + 10y ≥ 163, 12x + 28y ≥ 131, x ≥ 0, y ≥ 0e) Min C = 407x + 246y; s.t 12x + 30y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0f) None of the above.
Answers
Answer:
The answer is "Option a".
Step-by-step explanation:
In the question, Option a is correct, because in this choice, Let x determine its amount of pupils hired and the point y is let as it's mean that it is the number of experts who recruited in the researcher, and description of the choice can be defined as follows:
[tex]Min C = 246x + 407y; \\\\s.t \ 30 x + 12 y \geq 163, \\\\10x + 28y \geq 131, \\\\x \geq 0, \\\\y \leq 0\\\\[/tex]
3/8+6/16
I need help
Answers
Answer:
The answer is 3/4
Step-by-step explanation:
emilythompson35464
hope this helps srry if it doesn't tho
Answer:
3/4
Step-by-step explanation:
3/8 + 6/16
is equal to
6/16 + 6/16
which is
12/16
simplify it
6/8
simplify again
3/4
how many solutions does 8x^2+5x-7=0 have?
Answers
What is the image point of (0, -1) after a translation left 5 units and down 1 unit
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Answer:
(-5,-2)
Step-by-step explanation:
Help I understand but explain the steps and how you got it
Answers
Answer:
7-4 = 3
the change is 3 emails
Step-by-step explanation:
Resuelve estas ecuaciones
1. x I 6 = 14
X=
Answers
Answer:
3 sjshgegegegehsksksjsjsissjs
Find the x - and y-intercepts of the graph of the linear equation 2x + 3y = 12.
The x-intercept is
The y-intercept is
Answers
Answer:
Y intercept = (0,4)
X intercept = (6,0)
Step-by-step explanation:
First you need to make the equation slope intercept form.2x+3y=12
To do so, you need to get y on it's own (or on one side)
Subtract 3y from the left side.-3y+12=2x
Then, divide everything out by -3y-4=-2/3x
Add four to the other sidey= -2/3x +4
-2/3x= slope while 4= y intercept
You can also graph it on desmos and find the y intercept and x intercept
We want to find the x and y-intercepts of a given equation.
The solution is:
The x-intercept is x = 6 The y-intercept is y = 4First, we start by defining what x-intercept and y-intercept are.
The x-intercept is the x-value at which the graph of the equation intercepts the x-axis, and is equivalent for the y-intercept.
So, for a given function y = f(x).
We define the y-intercept as the value of y when we define x = 0.
And we define the x-intercept as the value (or values) of x when y = 0.
Here we have:
2x + 3y = 12
So to get the x-intercept, we just need to define y = 0 and solve for x.
2x + 3*0 = 12
2x = 12
x = 12/2 = 6
To get the y-intercept, we just need to define x = 0 and solve for y.
2*0 + 3*y = 12
3*y = 12
y = 12/3 = 4
Then we can conclude:
The x-intercept is x = 6 The y-intercept is y = 4If you want to learn more, you can read:
https://brainly.com/question/25192415
The graph shows the number of books, y, Melissa read during the weeks of summer break, x. She also read several books during the school year.
Determine the equation that can be used to represent this situation.
y = 3x
y = x + 5
y = 3x + 15
y = x + 15
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Answer:
Step-by-step explanation:
Y=3x+15
Answer:
3x+15
Step-by-step explanation:
3x+15
1. Which size bag of cat food shown in the table has the lowest unit price?
Size (oz) Cost ($)
24
5.49
40
8.00
64
15.99
Answers
Answer:
The one that costs $15.99
Step-by-step explanation:
Divide 24/5.49=4 and something cents
Then 40/8 to get $5
Then 64/15.99 to get $4.00
The lowest price is $0.20 the size 40 oz bag cost $8.00 showing the lowest unit price.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
24 oz bag cost $5.49
Cost of 1 oz cat food = 5.49/24 = $0.228
40 oz bag cost $8.00
Cost of 1 oz cat food = 8/40 = $0.2
64 oz bag cost $15.99
Cost of 1 oz cat food = 15.99/64 = 0.2498
Thus, the lowest price is $0.20 the size 40 oz bag cost $8.00 shows the lowest unit price.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
A 2014 Gallup survey on mental health in the United States interviewed a random sample of 173,655 American adults. The table found in the online report of the survey findings is provided.
Percent currently being treated for depression
All Americans 11
Baby boomers (1946–1964) 14
Generation X (1965–1975) 11
Traditionalists (1900–1945) 9
Millennials (1980–1996) 7
Required:
Give the marginal distribution of current depression treatment. (Enter your answers as whole numbers.)
Answers
Answer:
The answer is "11% and 89%".
Step-by-step explanation:
Its marginal distribution of 11 percent currently starts from the given table and that is not currently considered as 89 percent.
A researcher surveys job satisfaction among laborers and white-collar workers. (Job satisfaction is rated on a scale from 1 = low satisfaction to 10 = high satisfaction.) Results show that laborers have a mean job satisfaction score of 3 and a SD 1; white-collar workers have a mean job satisfaction rating of 7 and a SD of 3.16. Which statement is the best interpretation of the mean and SD?
A. Laborers are less satisfied than white collar workers and most laborers are about equally dissatisfied, while there is more variation in the satisfaction of white collar workers
B. Laborers generally are less satisfied than white-cofar workers, but laborers wojtas kely to be highly satisfied as white collar workers are to be highly satisfied
C. White-colar workers and laborers we bout equally waited but there is more variation among white collar workers
D. White collar workers are more satisfied than laborers, but have similar amount of variation
Answers
Answer:
Option A is the answer
Step-by-step explanation:
From the question we are told that
The mean of laborers is 3
The standard deviation is 1
The mean of white collar workers is 7
The standard deviation for white collar workers is 3.16
From this value given we can see that the white collar worker is more dissatisfied than the laborers
Also the from the value of standard deviation of the laborers we see that the deviation from the mean is 1 which means that they are equally dissatisfied
But in the case of white collar workers we see deviation from the mean is very high which implies that the dissatisfaction varies more with white collar workers
If 5 is added to one-half of a number, the result is the same as when three-fifths of the number is decreased by 3. Find the number
Answers
Answer:
2.3
Step-by-step explanation:
is your answer
Round 713,923 to the nearest hundred.
Answers
Answer:
713,7923 to the nearest hundred is 713,900
what fraction multiplied by itself is equal to 4/25
Answers
Answer:
2/5
Step-by-step explanation:
we see that 2x2=4
and 5x5is equal to 25
so the answer is 2/5
Answer:
2/5
Step-by-step explanation:
2/5 * 2/5 = 4/25
the number that you can multiply by its self to get 4 is 2 and the number that you can multiply by its self to get 25 is 5
complete the equation so that it has infinitely many solutions
1/2(4-z)
Answers
Answer:
4 - z
—---
2
Step-by-step explanation:
PLEASE I NEED HELP !!
question: Find the values of k and b if it is known that the graph of y=kx+b goes through points (2, 10) and (−7, −10).
what is k and what is b
PLEASEEEEE
Answers
Answer:
k = 20/9
b = 50/9
Step-by-step explanation:
slope intercept form: y = mx + b
given equation: y = kx + b
(-10-10)/(-7-2)
= 20/9
10= 2 x 20/9 + b
90 = 40 + b
b = 50
y = 20x/9 + 50
Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol.
Answers
Answer:
That is correct, if you're asking if it's true or false
Step-by-step explanation:
if u could subscribe to my friend penny_pg3d that would be great!
The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?
Answers
Answer:
80%
Step-by-step explanation:
A percentage can also be represented as a fraction with the denominator of 100. If 80 out of 100 (Fraction Form: [tex]\frac{80}{100}[/tex]), then 80% of the art club members voted.
If 7x + 5y = 25 and 3x + 2y = 10, what is the value of x +y?
A 5
B15
C20
D 35
Answers
Answer:
wwww
Step-by-step explanation:
Currency exchange rates are based on
Answers
Answer:
Currency prices can be determined in two main ways: a floating rate or a fixed rate. A floating rate is determined by the open market through supply and demand on global currency markets. Therefore, if the demand for the currency is high, the value will increase.
Step-by-step explanation:
The temperature at 9 am was 8 degrees below zero. The temperature increased every 3 hours, for the next 4 hours. What was the temperature after those 4 hours?
Answers
Answer:
20 degrees hope this helped
Step-by-step explanation:
The monument has an actual height of 604 feet carbans model used a scale in witch 1inch represents 100feet what is the height in inches
Answers
Answer:
76inches
Step-by-step explanation:
I took the test✨
Dana is skating laps to train for a speed skating competition. She can skate one lap in 40 seconds.
1. Write a ratio in simplest form comparing Dana's time to her number of laps.
2. Suppose Dana skates for 20 seconds. How many laps will she skate?
3. Write a ratio of Dana's times from number 2 to her number of laps.
4. How could you simplify the ratio you wrote in 3?
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Answer:
5
Step-by-step explanation:
what is the slope line
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Answer:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
Step-by-step explanation:
-10 - 6(2v – 8) = -82
Answers
Answer:
v = 10
Step-by-step explanation:
-10 - 6(2v-8) = -82
-10 - 12v + 48 = -82
-12v + 38 = -82
-12v = -120
v = 10
hope this helped, if you need a more in depth answer to how i did it just ask
Answer:
Hello! I hope I’m correct! :)
Step-by-step explanation:
The answer should be V = 10
First, Add 10 to both sides.
-6(2v-8) = -82+10
Next, Simplify
-6(2v-8) = -72
Than, divide both sides by -6
= -72/-6
{Note: two negatives makes a positive}
= 72/6
Simplify.
2v-8=12
Add (+) 8 to both of the sides.
2v= 12+8
Simplify 12+8 to...
2v = 20
Now, divide both sides by 2
V = 20/2
Since we have 20/2, we need to simplify (divide 20 & 2)
20 divided by 2 = 10
V = 10
Therefore the answer is v = 10Hope this helps! If you have any questions about these steps, feel free to ask! Have a nice day! :)
~by, BrainlyAnime <3
10 pts
Question 4
Determine if the equations are Parallel, Perpendicular, of Neither.
5
y =
=- X
4
+1
and y
5
= — X -
-7
4
O Parallel
Perpenicular
O Neither
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Four out of 32 students in Mr. Lee’s class speak 3 languages. Which decimal represents the number of students who speak 3 languages?
Answers
Answer:
.125
Step-by-step explanation:
4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125