Which expressions can never result in a negative real number when evaluated for any value of x? Select all that apply.
1) x^1/2
2)x^2/3
3)x^-3/5
4)x^-1/2
5)x^1/3
Answers
The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3
1) x^1/2
find the square root
\(= √x^1/2
\)
\(= x^1\)
= x
2) x^2/3
\(= 3√x^2/3\)
= x²
3) x^-3/5
\(= 5√x^-3/5\)
\(= x^-3\)
\(= 1/x^3\)
4) x^-1/2
\(= √x^-1/2\)
,
\(= x ^-1\)
\(= 1/x\)
5) x^1/3
\(= 3√x^1/3\)
\(= x^1\)
= x
Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3
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Related Questions
What is the solution to this equation?
−1/5(x+1 3/4)=−2 1/
2
Responses
x=21 1/4
x equals 21 and 1 over 4
x=14 1/4
x equals 14 and 1 over 4
x=10 3/4
x equals 10 and 3 over 4
x=3 3/4
I WILL GIVE BRAINLYEST
Answers
Answer:
10 3/4
Step-by-step explanation:
\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Write a ratio for the situation in three ways, comparing the first quantity to the second quantity.
In Largo City, about one in every nine homes contains four televisions.
A. 1 to 9, 1:9, one-ninth
B. 1 to 4, 1:4, one-fourth
C. 4 to 9, 4:9, start fraction 4 over 9 end fraction
D. 9 to 13, 9:13, Start Fraction 9 over 13 End Fraction
Answers
Answer:
A. is the answer.
Step-by-step explanation:
which expressions are equivalent to 252 check all that apply
Answers
Answer:
answer is5th one
Step-by-step explanation:
5th one is the answers...its equal to the expression given
1.2t - 1.44 = 0.25t
solve for t
please explain step by step
Answers
Answer:
t = 0.99
Step-by-step explanation:
1.2t - 1.44= 0.25t
first, we add 1.44 to both sides to move it
1.2t - 1.44 = 0.25t
+1.44 +1.44
______________
1.2t = 0.25t + 1.44
second, we want to solve for t, so we must get the variable alone (add 0.25t to 1.2t)
1.2t = 0.25t + 1.44
+0.25t +0.25t
1.45t = 1.44
third, to get t alone we must divide by 1.45 on both sides
1.45t = 1.44
t = 0.9931034483
rounded this would be 0.99
Answer:
Step-by-step explanation:
So we have an equation. Let's combine like terms.
1.2t-0.25t=1.44
Now let's solve.
0.95t=1.44
We don't have a whole variable, so let's make it whole.
95t=144
Now we can solve. Let's divide both sides by 95.
t=1.5157894737
That's a long decimal. Let's round it.
t=1.5
In the figure, m<1=7x+8, m<2=4x+11, and m<4=12x+7. What is the m<1?
Answers
Basic Definitions of Geometry
A collinear set of points is a set of points all of which lie on the same straight line.
A noncollinear set of points s a set of three or more points that do not all line on the same straight
line.
A Line has no end points.
A Ray has one end point.
. Line Segment has two end points
Congruent segments are segments that have the same measure.
The Midpoint of a line segment is a point of that line segment that divides the segment into two
congruent segments.
The Bisector of a line segment is any line, or subset of a line that intersects the segment at the midpoint.
An Angle is a set of points that is the union of two rays having the same endpoint.
Given that $a$ is an odd multiple of $7767$, find the greatest common divisor of $6a^2+49a+108$ and $2a+9$.
Answers
Answer:
888
Step-by-step explanation:
Help me and please make your answer quick and simple!
Answers
Answer:
B 2n/3
Step-by-step explanation:
2n is double the value of n
the denominator of 3 means divide by 3
Help me please! Bookwork code:k90
Answers
Answer:
Step-by-step explanation:
Let’s mark the Triangle Points as Point A, Point B, Point C.
Point A = 1x°
Point B = 2x°
Point C = 3x°
We know that the Angle Sum of a Triangle is equal to 180°.
So, Point A + Point B +Point C = 180°
= 1x° + 2x° + 3x° = 180°
= (1 + 2 + 3)x° = 180°
= 6x° = 180°
= x° = (180/6)°
= x° = 30°
| — — |
| Point A = 1 * 30° = 30° | ⇒
| Point B = 2 * 30° = 60° | ⇒ Only Extra Information
| Point C = 3 * 30° = 90° | ⇒
| — — |
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Hope my answer helps you ✌️
Mark BRAINLIEST
Point A- 1x
Point B- 2x
Point C- 3x
We know that Angle sum property of a triangle states that the sum of angles of a triangle is 180•
So 1x+ 2x+ 3x = 180
Take X out as common
(1+2+3)x = 180
6x= 180
x=180/6
x= 30•
Which is your answer
Pls mark as brainliest
Simplify negative 3 over 4 divided by 2 over negative 8.
Answers
Answer:
-3/4 ÷ -2/8 = 3
the answer is 3
Answer:
3
Step-by-step explanation:
3/4 / 2/8
Keep change flip
3/4 x 8/2
Multiply the numerators and denominators
24/8
Simplify
24/8=3
102,000 is 8% of what number? HELP!!!!!!!!!!
Answers
Answer:
1275000
Step-by-step explanation:
102000/0.08=1275000
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
The owner increases the sale price by the same percent that you found in part a when she buys jackets for $45 and sells them. How many jackets must the owner buy for the total jacket sales to be at least $390? Explain your answer.
Answers
Answer:
8 R 30
Step-by-step explanation:
45 ÷ 390 = 8 R30 so the answer would be 8 jackets.
. . 。 。 .
。 ඞ 。 . • •
ﾟ MATHZ was An Impostor. 。 .
' 0 Impostors remain 。
A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford? Explain or show your reasoning.
Answers
Answer:
7.50
+ 7.50. 40.00
7.50. - 37.50
7.50. ______
7.50. $2.05
______
37. 50
Step-by-step explanation:
sumthin like that.
help me this one plssssssssssss
Answers
Answer:
The integer that describes the translation from B to B' is (-2,1)
Need Help fast!!!
Please!
Answers
Answer:
the third one
Step-by-step explanation:
because on the first paper the food coloring was always twice as much as the frosting and 100 is two times larger than 50.
A restaurant manager uses the expression 7.85m + 8.85d to calculate his profit when he sells m main courses and d desserts. What is the restaurant manager's profit, in dollars, when he sells 45 main courses and 43 desserts?
Answers
Answer:
244 and 43
Step-by-step explanation:
hope this helps n please mark brainliest
Answer:
$733.80
Step-by-step explanation:
To calculate the profit, you use 7.85m + 8.85d
Since m = 45 and d = 43,
his profit = (7.85 × 45) + (8.85 × 43)
= 353.25 + 380.55
= 733.80
∴The restaurant manager's profit in dollars is $733.80.
Hope this helps
Dan made a scale drawing of a summer camp. The scale of the drawing was 5 centimeters : 3 meters. The sand volleyball court is 9 meters wide in real life. How wide is the volleyball court in the drawing?
centimeters ______
Answers
Answer:
Step-by-step explanation:
9 divided by 3=3
3 times 5=15
To find the width of the volleyball court in the scale drawing, we set up a proportion using the scale (5cm : 3m) and the real-life width (9m). Solving the proportion (5cm : 3m = x : 9m) gives us a drawing width of 15cm.
Explanation:The first step to solve this problem is to set up a proportion. In Dan's drawing, 5 centimeters represents 3 meters in real life. So we can write the first ratio as 5cm : 3m. We know in real life the volleyball court is 9 meters wide, so to find out how wide it is in the drawing we set up the proportion 5cm : 3m = x : 9m. To solve for x, we cross multiply and divide. (5cm * 9m) / 3m = 15cm. Thus, the width of the volleyball court in the drawing is 15 cm.
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DO NOT SEND ME PDFS OR WILL REPORT ANSWER CORRECLY AND WILL GIVE BRAINLIEST
Which graph is misleading? Explain your answer with at least three complete sentences.
Answers
Answer:
The first graph is misleading because all it is is just bigger. However the second graph is the same 80 million ton barrel twice. This means that its 80 +80 which indeed is 160 million tons.
Step-by-step explanation:
please help i need this very soon
Answers
Answer:
for a it is $20
for b it is $10
question B is $10
Thirty-two dogs are at a doggie daycare. They are separated by size into 4 equal groups. Each group is evenly split among 2 employees. Which equation can be used to find the number of dogs assigned to each employees.
Answers
Answer:
(32/4)/2
Step-by-step explanation:
(32/4)/2
there are 4 dogs that are among 2 employees
What is the surface area of a rectangular prism with the Length being 14cm, the Width being 21cm, and the Height being 5cm?
Answers
In complete sentences, explain the following: 1. Is 700 a good estimate for the sum of 435 and 368? 2. If it is, explain why it is a good estimate. If it is not explain why it is a bad estimate.
Answers
2. Because if you round 435 to the first digit 4 which is the 100s then it gets you 400 because it rounds down. Then you have to round 368 to it’s first digit 4 which is also the 100s, that gets you 400 because you round up.
400+400=800
Answer:
700 is not a good estimate.
Step-by-step explanation:
700 is not a good estimate. This is because 400 + 300 is already 700, and 30 + 60 is 90. 700 + 90 is much more closer to 800 than 700, so 700 is a bad estimate.
find missing angle measure
Answers
Answer:
sorry i need points.
The supermarket has 15 aisles. 20% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answers
Answer:
3 empty
Step-by-step explanation:
The supermarket has 15 aisles. 20% are empty, without any shoppers. How many empty aisles are there in the supermarket?
20% = 0.20
15* 0.20 = 3
Answer:
Step-by-step explanation:
15 aisles
20% empty
20/100 x 15
= 0.2 x 15
= 3 empty aisles
20% of 15 equals 3, so there are 3 empty aisles.
The fraction model below shows the steps a student performed to find a quotient. Which statement best interprets the quotient?
Answers
Answer:
The answer is a
Step-by-step explanation:
There are two-thirds in
There are five and one-sixths in
There are two-thirds in
There are five and one-sixths in
A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.
Estimate of the dividend:
0.37
0.38
–0.37
–0.38
Estimate of the divisor:
–0.02
–0.2
0.02
0.2
Estimate of the quotient:
1.85
5.67
18.5
23.2
*pick one for each*
Answers
Divisor: -0.02
Quotient: 18.5
The dividend is -0.3675. Since the thousandth place is already above 5, you round it up to -0.37.
The divisor is -0.015. Since the thousandth place is 5, you round it up to -0.02.
For the quotient you divide -0.37 by -0.02 and get 18.5. (You can use a calculator or long division.)
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6100 and his stock in Company B was worth $6480. The stock in Company A has decreased 2% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Investment in Company A by investor = $6100
Investment in Company B by investor = $6480
The decrease in value of the stock of company A is 2%
The decrease in value of the stock of company B is 10%
Value of wealth that investor lost in company A = 6100× 2/100
= 61×2
= $122
The decline in the value of the stock of company B = 6480×10/100
= 648×1/1
= $648
The total decline in the wealth of the investor= 122+648
= $770
The combined wealth of investor in both companies= 6100+6480
= $12580
Percentage of decline in the stock account of investor= 770×100/12580
= 77000/12580
= 6.1%
The total percentage decline in investor's stock account is 6.1%
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i need the equation of the line (y=mx+b) for all of these except for A
WILL GIVE BRAINLIEST!
Answers
Answer:
B) y = -2/3 x + 3
C) y = 3/4 x - 2
D) y = 1x - 4
E) y = -3x + 5
G) y = -4/5 x + 1
H) y = -1x - 3
I) y = 3/2 x + 2
J) y = -4/3 x + 5
K) y = 2x-2
L) y = 3x + 0
M) y = -1/3 x -2
N) y = 1/4 x + 5
Step-by-step explanation:
The slope (m) is in the format of Rise over Run (Rise/Run); So if a line goes 2 units up and 1 unit to the right, m = 2. B is the point at which the line crosses the y axis. That one you just have to locate with your eyes.