The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
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Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
What is 53.237 written in expanded form?
if GameStop buys a video game for $35.00 and sells it with a 15% markup. How much does it cost the customer?
Answer:
40.25$
Step-by-step explanation:
The manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2. Calculate the approximate hold time for all customers who call the customer service department.
The approximate hold time for all customers who call the customer service department is A 4 minutes. B 3 minutes. cannot be calculated from the given data. d 7 minutes
Answer:
The answer is approximately 3.
Step-by-step explanation:
You add all the numbers and then divide by 10
The approximate hold time for all customers who call the customer service department is 3 minutes.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
For the given situation,
The department receives about 850 calls each hour.
The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.
The approximate hold time for all customers who call the customer service department is calculated by mean as
⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]
⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]
⇒ [tex]\frac{34}{10}[/tex]
⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.
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Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation
Find the circumference of a circular dog pen that has a radius of 35 meters. Use 227 for π.
Answer:
220
Step-by-step explanation:
Circumference of a circle is=diameter times pi
70=diameter because diameter is twice the radius
(22/7)70 is your answer
(q4)Find the area of the region bounded by the graphs of
and x = y - 4.
The area of the region bounded by the graphs is 3.33 .Option B
To find the area of the region bounded by the graphs, we need to determine the points of intersection and integrate the appropriate functions within the bounds.
First, let's find the points of intersection between the graphs.
Setting the equations equal to each other, we have:
x = y - 4
x = ±√(y - 2)
To solve this system of equations, we can square both sides of the second equation:
[tex]x^2 = y - 2[/tex]
Now, we can substitute x from the first equation into the squared equation:
[tex](y - 4)^2 = y - 2[/tex]
Expanding and rearranging the equation:
[tex]y^2 - 8y + 16 = y - 2\\y^2 - 9y + 18 = 0[/tex]
Factoring the quadratic equation:
(y - 3)(y - 6) = 0
So we have two solutions: y = 3 and y = 6.
Now, let's find the corresponding x-values for each y-value.
For y = 3:
x = y - 4 = 3 - 4 = -1
For y = 6:
x = y - 4 = 6 - 4 = 2
We have found the points of intersection: (-1, 3) and (2, 6).
To find the area, we need to integrate the appropriate functions within the bounds.
For the first part of the region, bounded by the graphs x = y - 4 and x = -√(y - 2), we integrate with respect to y:
A1 = ∫[3, 6] [(y - 4) - (-√(y - 2))] dy
Simplifying:
A1 = ∫[3, 6] [y - 4 + √(y - 2)] dy
To evaluate this integral, we need to use numerical methods or software. The result is approximately 2.08 sq. units.
For the second part of the region, bounded by the graphs x = y - 4 and x = √(y - 2), we integrate with respect to y:
A2 = ∫[3, 6] [(y - 4) - √(y - 2)] dy
Simplifying:
A2 = ∫[3, 6] [y - 4 - √(y - 2)] dy
Again, we need to use numerical methods or software to evaluate this integral. The result is approximately 1.25 sq. units.
Finally, we find the total area by adding A1 and A2:
Total area = A1 + A2 = 2.08 + 1.25 = 3.33 sq. units.Therefore, the correct answer is Option B
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Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years. One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of
This question is incomplete, the complete question is;
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years.
One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of 37%.
a) what is p. sample proportion of successes?
b) what is p0, the hypothetical proportion of success under the null hypothesis
c) what is the value of test statistic
Answer:
a) sample proportion of successes is 0.32
b) the required value of p₀ is 0.37
c) the required test statistics value is -1.0356
Step-by-step explanation:
Given the data in the question
100 prisoners attend boot camp and 32 of them return to prison within three years
x = 32
n = 100
recidivism rate for the whole state = 37% = 0.37
a)
what is p. sample proportion of successes
p" = x / n
we substitute
p" = 32 / 100
p" = 0.32
Therefore, sample proportion of successes is 0.32
b)
what is p₀, the hypothetical proportion of success under the null hypothesis
given that;
the population recidivism rate for the whole state is 37%;
p₀ = 37%
p₀ = 0.37
Therefore, the required value of p₀ is 0.37
Null hypothesis H₀ : p₀ = 0.37
Alternative hypothesis Hₐ : p₀ ≠ 0.37
c)
what is the value of test statistic
Z = (p" - p₀) / √([tex]\frac{p_0(1-p_0)}{n}[/tex])
so we substitute
= (0.32 - 37) / √([tex]\frac{0.37(1-0.37)}{100}[/tex])
= -0.05 / √0.002331
= -0.05 / 0.04828
= -1.0356
Therefore, the required test statistics value is -1.0356
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
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In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.
Answer:
208
Step-by-step explanation:
Delta math
Please help
❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties
Answer:
62.33 degrees Fahrenheit.
Anytime bestie <3
Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the perimeter of Jason’s model pentagon?
Answer:
165 centimeters
Step-by-step explanation:
A pentagon has 5 sides
Each side is 33 centimeters long
5 x 33 = 165
who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer
Answer:
The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.
Step-by-step explanation:
A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.
Answer: statistical question
Step-by-step explanation:
cause your asking the current vice president.
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
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Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.
Required:
What is Jose’s cost basis for the delivery van?
Answer:
Jose's cost basis for the delivery van = $42,410
Step-by-step explanation:
Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.
Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:
Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
6-4x+6(x-2) solve for x
Answer:
x=3
Step-by-step explanation:
6-4x+6(x-2)
6-4x+6x-12
-4x+6x=12-6
2x=6
x=3
Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean
NANDARIINI RINNERIE MIRANI INDONESIA NOUTATI x2 - 7 when x = 8 mundo
Answer: 57
Step-by-step explanation:
x² - 7
When x = 8
= x² - 7
= 8² - 7
= 64 - 7
= 57
jawabannya adalah 57
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only
Answer:
1.B 2.C 3.C
Step-by-step explanation:
Answer:
BCC
Step-by-step explanation:
What is the range for the set of data?
A. 4
B. 6
C. 3.5
D. 0
I don’t want a link, so if you were gonna send one, ignore this instead
Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no
Answer:
no
Step-by-step explanation:
7x+5y=15
(x,y)
(4,3)
put in 4 for x and 3 for y
7(4)+5(3)=15
43=15
This equation is impossible
Hope that helps :0
Step-by-step explanation:
7x+5y=15 (x=4,y=3)
7(4)+5(3)=15
28+15=15
43>15
they are no equal
follow me
PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS
Answer:
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
You need two bottles of fertilizer to treat the flower garden that has a perimeter of 42 feet. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
110 calories
5 gummy bears
What is the unit rate per gummy bear?
Answer:
348.7 Calories (per 100 g)Step-by-step explanation:
Answer:
it is 22 because if you divide 110 ÷ 5=22
PLEASEEEE HELP I WILL MAKE YOU BRAINIEST
Answer:
14
Step-by-step explanation:
Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.
Hope this helps!
Both angles form a right angle which is 90 degrees.
Angle 2 would equal 90 degrees - angle 1
Angle 2 = 90 -34 = 56
So now we know 4x = 56
To find x divide both sides by 4
X = 14
A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answer:
6 years
Step-by-step explanation: