Which of the following inequalities is best represented by this graph?
5x + y ≤ 2
5x + y ≥ 2
5x − y ≤ 2
5x − y ≥ 2
Answers
We have then:
5x - y = 2
For x = 0
5 (0) - y = 2
-y = 2
y = -2
For y = 0
5x - 0 = 2
5x = 2
x = 2/5 = 0.4
Therefore the line is:
5x - y = 2
Then, we see that for the point (0, 0)
5x - y ≥ 2
5 (0) - (0) ≥ 2
0 ≥ 2
The inequality is not met, which is correct because this point is not part of the shaded region.
Answer:
The inequality that best is represented by the graph if:
5x - y ≥ 2
Answer:the answer is d
Step-by-step explanation:
5x - y ≥ 2
Related Questions
Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?
Answers
Let's write the variables first.
Let:
x = number of square feet of the bathroom floor.
y = total cost in $.
The function that best suits the problem is:
y = 5x + 25
Answer:
Carson is correct.
y = 5x + 25
Can someone please explain this to me? I keep getting -infinity as the answer.
Answers
Therefore, the answer is the last option: Does not exist.
What is 0.673 rounded to the nearest hundredths
Answers
Hope this helps
0.673 rounded to the nearest hundredth as 0.67
The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.
To round off 0.673 to the nearest hundredth means hundredth digit after decimal, To do so take a look on the thousandth digit after decimal, If it is greater than 5 or equal to 5 increase the hundredth digit after decimal by 1 otherwise no change,
Here, the thousandth digit is 3, 3<5. So, no increment is required.
It will remain as 0.67.
Thus, 0.673 is 0.67 after rounding off to the nearest hundredth.
Learn more about round off, here:
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The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?
Answers
(because 10-5=5)
so the answer is $32
How many possible outcomes would there be if three coins were each tossed once?
Answers
helppppppppppppppppppppp
Answers
1) Trigonometric functions.
2) rewrite the expression
3) Cancel similar terms.
Note: See attached image.
Answer:
Cot(x)
option 2
Joe can buy a pair of canvas shoes for $7 or a pair of leather shoes for $35. At these prices, what is the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes?
A. 1/10
B. 1/5
C. 2/5
D. 2/15
E. 3/10
Answers
Final answer:
The ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes is D. 2/5.
Explanation:
To find the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes, we need to calculate the total cost of each option.
For 6 pairs of canvas shoes, the cost is $7 per pair, so the total cost is 6 x $7 = $42.
For 3 pairs of leather shoes, the cost is $35 per pair, so the total cost is 3 x $35 = $105.
Therefore, the ratio is $42 : $105, which simplifies to 2/5.
2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there
Answers
3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16
Altogether = 16 + 24 = 40
24 - 1 6 = 8
There are 40 children altogether
There are 8 more boys than girls.
2/5 = 16/40
24 = 3/5
24 - 16 = 8
Therefore, There Are 8 More Boys Than Girls.
There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?
Answers
f (x) = mx + b
We have:
20-foot well:
f (x) = mx + 20
if he climbs up 3 feet each day and slips back 2 feet each night:
f (x) = - 3x + 2x + 20
f (x) = - x + 20
When it reaches 20 feet we have f (x) = 0:
f (x) = - x + 20
0 = -x + 20
x = 20 days.
Answer:
It will take him 20 days to reach the 20-foot mark and climb out of the well
Two tons of water is pumped into a tank 15 ft. high in 5 minutes. Determine the power output of the pump.
Answers
Answer:
0.364 horsepower
Step-by-step explanation:
You want to know a pump's power output if it raises 2 tons of water 15 ft in 5 minutes.
PowerThe power is conveniently measured in horsepower. One horsepower is 33,000 ft·lb/minute.
Here, we have (2t · 2000 lb/t · 15 ft)/(5 min) = 12000 ft·lb/min
In terms of horsepower, that is ...
(12000 ft·lb/min) / (33000 ft·lb/min/hp) = 4/11 hp ≈ 0.364 hp
The power output of the pump is about 0.364 horsepower.
__
Additional comment
That's about 271 watts.
The distance dimensions are in feet, so we assume the tons are US short tons of 2000 lb each.
The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation is a enlargement or a reduction. Then find the scale factor of dilation
Answers
The dilation's scale factor will be 1/4.
The division method is used to divide a bunch of items into equal portions.
Division is the inverse of multiplication. For instance, dividing 20 by 2 means dividing 20 into two equal groups of ten.
Given this,
The blue figure is a magnified version of the black one.
Furthermore, the origin is the center of dilatation.
Now,
Because the blue figure is a dilatation of the black one.
Furthermore, the origin is the center of dilatation.
In this case, the length of the black figure equals 16 units.
Furthermore, the length of the blue figure equals 4 units.
As a result, the dilation scale factor is 4/16.
= 1/4
Find the prime factorization of 60
Answers
[tex]2(2) = 4(3) = 12(5) = 60 [/tex]
[tex]2^2 =4 = 4(3) =12(5) = 60 [/tex]
They are both prime factorization of [tex]60[/tex]
But, if you had to choose one then pick:[tex] 2*2*3*5[/tex] (the first option)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
The area of a rectangle is 9.312 x 104 cm2 and the width is 2.56 x 102 cm. What is the length? A) 3.6375 x 102 B) 3.6375 x 106 C) 6.752 x 102 D) 6.752 x 106
Answers
length = Area/width
= (9.312*10^4)/(2.56*10^2) = 3.6375*10^2 . . . cm
Selection A is appropriate.
_____
You already knew that before you even touched your calculator. 10^4/10^2 = 10^2, so only answers A and C should be considered. 9.3/2.6 < 4.5, so only answer A should be considered.
The beauty of scientific notation for numbers is it helps you estimate the result of multiplication and division easily. For many problems, you don't need the actual answer as much as you need the ballpark in which the answer resides.
Step-by-step explanation:
For USATestprep people.
what is the solution to the proportion 3/m=12/15
Answers
solve proportion 12/p = 36/45
Answers
solve 30 - 9.8x
A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33
Answers
x = 30 / 9.8
x = 3.06
Answer is C
Answer: x = 3.06
Step-by-step explanation:
You do 30 divided by 9.8 and you get 3.06
which term describes the red curve of the figure below?
Answers
Hyperbola is where there are two curves (one up, one down)
Answer:
A) Hyperbola.
Step-by-step explanation:
Given : Figure .
To find : Which term describes the red curve of the figure below.
Solution : We can see from the given figure two red curve up and down .
Hyperbola : A hyperbola is two curves that are like infinite bows.
Therefore, A) Hyperbola.
what is the domain of the function y=3sqrt(x)
Answers
x≥0
Because every number in the domain must yield real number outputs, set what is in the radical greater than or equal to 0.
The domain of the function
[tex]y = 3 \sqrt{x} [/tex]
is
[tex]x \geqslant 0[/tex]
EXPLANATION
The domain of a function refers to all values of x for which y is defined.
Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.
As soon as the expression under the root sign is less than zero, the function will not be defined.
This means that the square root of a negative number will not be a real number.
Thus the domain is
[tex]x \geqslant 0[/tex]
or
[tex][0, \infty )[/tex]
a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?
Answers
Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5
Answers
Answer: The distance from point R to point T is 1.5 miles.
Step-by-step explanation:
In the map, the scale is,
1 inches = 0.5 miles,
3 inches = 3 × 0.5 = 1.5 miles,
Thus, in the map 3 inches shows 1.5 miles,
Since, in the map, the distance from point R to point P = 3 inches,
Thus, the actual distance from point R to point P = 1.5 miles.
⇒ Option C is correct.
The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?
A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft
Answers
make sure your calculator is in Degree mode.
Answer:
The Golf ball from the base of the flag stick is 13.5 ft
A is correct.
Step-by-step explanation:
Please see the attachment for figure.
Let AB is height of flag stick. AB=6 ft
BC is distance of golf ball from base of the flag stick.
In ΔABC, ∠B=90°
[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]
[tex]\dfrac{6}{BC}=0.4452[/tex]
[tex]BC=13.5[/tex] ft
Hence, The Golf ball from the base of the flag stick is 13.5 ft
The measures of two of the angles in a triangle are green. Find the measure of the thirs angle. Show your calculations to support your answer.
5-8?
Answers
5
m∠3 = 180 - 126.5 - 19 = 34.5°
6
m∠3 = 180 - 65.5 - 85 = 29.5°
7
m∠3 = 180 - 98.3 - 37.5 = 44.2°
8
m∠3 = 180 - 31 - 113 = 36°
So all we have to do is subtract the 2 angles we know from 180:
For question 5, we subtract 126.5° and 19° from 180°:
180 - 126.5 - 19 = 34.5°
The same principle applies for the rest.
Question 6:
180 - 65.5 -85 = 29.5°
Question 7:
180 -98.3 -37.5 = 44.2°
Question 8:
180 - 31 - 113 = 36°
what is the classification for this polynomial?
4
Choices:
A. Monomial
B. Binomial
C. Trinomial
Answers
a polynomial can be name by how many terms in it, POLYnomial, POLY=many, now, this is just one, MONO=one, MONOmial.
ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:
Given: 3(x – 4) = 33
Prove: x = 15
3(x – 4) = 33 Given
3x – 12 = 33 A
3x – 12 + 12 = 33 + 12 B
3x + 0 = 45 C
3x = 45 D
x = 15 Division Property of Equality
What is the reason for D?
Answers
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
Answers
△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?
Solution:
As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.
So, we have, [tex] \frac{XY}{DE} =\frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
Using, [tex] \frac{YZ}{EF} =\frac{XZ}{DF} [/tex]
So, we get,[tex] \frac{10}{8} =\frac{15}{DF} [/tex]
Now, to solve for DF, we must simplify
Simplifying,[tex] \frac{10}{8} =\frac{5*2}{4*2}=\frac{15}{DF) [/tex]
[tex] \frac{5}{4} =\frac{15}{DF} [/tex]
To simplify, Let us multiply by 4*DF on both sides
[tex] \frac{5*4DF}{4} =\frac{15*4DF}{DF} [/tex]
[tex] \frac{5DF}{1} =\frac{15*4}{1} [/tex]
So, 5 DF=15*4=60
To solve for DF, let us divide by 5 on both sides
[tex] \frac{5}{5} DF=\frac{60}{5} [/tex]
[tex] \frac{1}{1} DF=\frac{12}{1} [/tex]
So, DF=12meters
What is the sum of the geometric series:
3
∑5(-2/3)^i
i=0
Answers
[tex]\sum_{i=0}^35\left(\dfrac{-2}{3}\right)^i=5\dfrac{1-\left(\dfrac{-2}{3}\right)^4}{1-\left(\dfrac{-2}{3}\right)}\\=5\dfrac{\left(\dfrac{3^4-2^4}{3^4}\right)}{\left(\dfrac{5}{3}\right)}\\=3\left(\dfrac{65}{81}\right)=\dfrac{65}{27}[/tex]
Brian has reduced his cholesterol level by 16% by following a strict diet and regular exercise. If his original level was 260, what is his approximate cholesterol level now?
Answers
=260 - (260 * 16%)
=269 - (260 * 0.16)
=260 - 41.6
=218.4 new cholesterol level
ANSWER:
His new cholesterol level is 218.4.
Hope this helps! :)
Answer:
218.4
Step-by-step explanation:
Which expression is equivalent to (b^n)^m
Answers
When the exponents are set up like that you multiply them.
Answer:
C. [tex]b^{n\cdot m}[/tex]
Step-by-step explanation:
We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:
[tex](b^n)^m=b^{n\cdot m}[/tex]
Therefore, option C is the correct choice.
A quarter circle is attached to the side of a square as shown.
What is the best approximation for the area of this figure?
Use 3.14 to approximate pi.
28.6 m²
41.1 m²
66.24 m²
116.5 m²
Answers
= 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
= 3.14 × 16/4
= 3.14 ×4
= 12.56 m²
Therefore, the total area is;
= 16 +12.56
= 28.56 m²
≈ 28.6 m²
The area of the square is YxY
= 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
= 3.14 × 16/4
= 3.14 ×4
= 12.56 m²
That means, the total area is:
= 28.56 m²
Or it will be about:
≈ 28.6 m²
Hope it helped!
-Gabrielle
A) –6n + 2mn – 25np
B) –6n + 2m – 25np
C) –6n – 2mn + 25np
D) –24n + 8mn – 100np
Answers
Since we have different variables and we CANT combine our like terms of this problem, we would have to do them separately (but multiply everything by [tex] \frac{1}{4} n[/tex] )
[tex] \frac{1}{4} n (-24 + 8m - 100p )[/tex]
[tex] \frac{1}{4}n(-24) \\ \\ \\ \frac{1}{4}n (8m) \\ \\ \\ \frac{1}{4} n (100p)[/tex]
Your answer: [tex]-6n + 2mn + 25np[/tex] ( option A. seem closer)
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]