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The solution space will be above the first line (y > ...) and below the second line (y < ...). As a rule, you indicate the solution space by shading the portion of hte plane that satisfies the inequality.* The solution is the portion of the plane that is in both solution regions (that is, doubly-shaded).
_____
* Sometimes, it may actually work better to shade the portion of the plane that does NOT satisfy the inequality. That way, the remaining unshaded area is the solution space. If you do it that way, make sure the graph is clearly marked indicating that is the case. The usual expectation is that the shaded area is the solution, so you don't want to get your answer marked wrong or misinterpreted.
Related Questions
what is a factor of 4x^2+36x+72
Answers
[tex]4x^{2}+36x+72=4(x+3)(x+6)[/tex]
A car dealer buys a new car for $24,500. The dealer then marks the car's price up 27%
What is the selling price of the car?
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hope this helped. please mark as brainliest!
Which logarithmic graph can be used to approximate the value of y in the equation 3y = 7?
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3^y = 7
applying log both members
log(3^y)=log 7
y*log 3=log 7
y=log 7/log 3
using the logarithmic graph of y=log x
I graphically determine the values for x = 3 and x = 7
see the attached figure
for x=3
log 3=0.48
for x=7
log 7=0.85
therefore
y=log 7/log 3-----> y=0.85/0.48-----> y=1.77
the answer is
the approximate value of y is 1.77
hey can you please help me posted picture of question
Answers
The conjugate of 1 - 4i is 1 + 4i
So, we can write:
[tex] \frac{2+i}{1-4i}* \frac{1+4i}{1+4i} \\ \\ = \frac{2+8i+i-4}{1+16} \\ \\ =\frac{-2+9i}{17} \\ \\ = \frac{-2}{17} + \frac{9i}{17} [/tex]
So, the correct answer is option B
Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.
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We set the difference in graffiti incidents between before (B) and after (A) as:
d = A - B
If the number of incidents has indeed reduced, then d will be negative.
In order to choose the hypothesis, we need to recall that the null hypothesis H₀ represents the statement that we want to prove wrong, while the alternative hypothesis H₁ represents the statement that we want to prove right.
Therefore, we want μd to be strictly negative (= 0 would mean that the number of incidents stayed constant).
Hence:
H₀ : μd ≥ 0
H₁ : μd < 0
Final answer:
The appropriate hypotheses to determine if graffiti incidents declined involve a null hypothesis where the mean difference is greater than or equal to zero and an alternative hypothesis where the mean difference is less than zero. The μd represents the mean difference in graffiti incidents before and after the institution of the community watch program.
Explanation:
The appropriate hypotheses to test whether the number of graffiti incidents declined in the suburban communities after the institution of a citizen community watch program are as follows:
H0: μd ≥ 0 (Null hypothesis: The mean difference in graffiti incidents before and after is greater than or equal to 0, indicating no decrease.)Ha: μd < 0 (Alternative hypothesis: The mean difference in graffiti incidents before and after is less than 0, indicating a decrease.)Here, μd (mu-sub-d) represents the mean difference between the number of incidents before the program and after the program was implemented. To test these hypotheses, we would typically conduct a paired t-test if the samples are normally distributed or a Wilcoxon signed-rank test if the distribution is not normal.
Assuming μd is the mean difference in graffiti incidents before and after, the test will determine if there is statistically significant evidence to support that the community watch program resulted in a reduction of graffiti incidents.
write a number sentence to compare 7.17 and 7.170
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7.17 = 7.170
You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.
7.1700000 = 7.17 also
Answer:
They are equal
Step-by-step explanation:
require help with this question
Answers
1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k
bi) Π₁ can be written using r = (x, y, z).
Π₁ ⇒ 3x +2y +z = 4
bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
Π₂ ⇒ 2x +3y -z = 5
c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.
A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.
What value of y makes the equation true?
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First, we'll need to solve the equation for y. In order to solve for y, we can use our properties. The property we can use in order to solve for y is the subtraction property. Using this property, we can subtract 2.9 from each side. This gives us the value of y as 8.1. Therefore, the answer is A - 8.1.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Write the quotient as a mixed number. 33 ÷ 5 = 6 R2
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33 / 5 = 6 R3 which is equal to 6 and 3/5
hey can you please help me posted picture of question
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The solutions are: 1 + 6i and 1 - 6i
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
x² - 2x + 37 = 0
By comparison:
a = 1
b = -2
c = 37
Now, to get the solutions of the equation, we will use the quadratic formula shown in the attached image.
By substitution in this formula, we would find that:
either x = [tex] \frac{2+ \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 + 6i[/tex]
or x = [tex] \frac{2- \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 - 6i[/tex]
Hope this helps :)
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
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We have to find value of the house in 8 years so we will plug t=8 years in given equation.
[tex] y=150000(1.004)^{\left(12t\right)} [/tex]
[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]
[tex] y=150000(1.004)^{96} [/tex]
[tex] y=150000(1.46702133432) [/tex]
[tex] y=220053.200148 [/tex]
Hence house will worth approx $220053.20 in 8 years.
Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
Solution:
Equation of the appreciation of the value of house is given by:-
[tex]y=150000(1.004)^{12t}[/tex]
We need to find the worth of the house after 8 years
So, that means time, t=8
Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]
So, we get,
[tex]y=150000(1.004)^{12*(8)}[/tex]
[tex]y=150000(1.004)^{96}[/tex]
[tex]y=150000(1.467021)[/tex]
y=150000*1.467021
y=220053.20
In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320
A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.
Answers
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
Answer:
31.42
Step-by-step explanation:
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?
Answers
Use right triangle DCB to find the trig values for angle D.
sinD =
cosD =
tanD =
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cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12
Answer: sinD = 0. 9459
cosD =0. 3243 tanD=2. 917
Step-by-step explanation:
From the figure above;
opposite = 35
adjacent = 12
hypotenuse = 37
sin D = opposite/hypotenuse
sinD = 35/37 = 0. 9459
cosD = adjacent/hypotenuse
= 12/37 = 0. 3243
tanD = adjacent/opposite
= 35/12 = 2. 9167
Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the measure of each part?
Answers
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees
The measure of the each part of the large circle is 90 degrees.
What is the measue of each part?
A circle is a bounded figure which points from its center to its circumference is equidistant. The sum of angles in a circle is 360 degrees.
Measure of the angle of each part = 1/4 x 360 = 90 degrees
To learn more about a circle, please check: https://brainly.com/question/14351152
Can someone please help me
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3 : 4 ≠ 5 : 6
PLZ HELP ASAP TANGENTS OF CIRCLES
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m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
Answer: 50°
Explain how you can use a model to find 4x 3/8
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Find the relative rate of change of the function f(x)=150-0.08x^2
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The relative rate of change will be given by:
f(x)=150-0.08x^2
the first derivative is given by:
f'(x)=-0.16x
thus the answer is:
f'(x)=-0.16x
hey can you please help me posted picture of question
Answers
The solution is listed below:
[tex]3 x^{2} +27 \\ \\ =3( x^{2} +9) \\ \\ =3( x^{2} +3^{2}) \\ \\ =3( x^{2} -(3i)^{2}) \\ \\ =3(x-3i)(x+3i) \\ \\ =(3x-9i)(x+3i) [/tex]
For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?
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Explanation:
Since the question is incomplete and confusing, here I rephrase it:
A theater box office sold:
356 tickets at $80 apiece,
275 tickets at $60 apiece, and
369 tickets at $45 apiece.
How much money did the box office take in?
The problem is solved by multiplying the number of tickets at each price and adding all the partial sums:
This is:
356 tickets × $80 / ticket = $28,480
275 tickets × $ 60 / ticket = $16,500
369 tickets × $45 / ticket = $16,605
Sum = $28,840 + $ 22,000 + $ 16,605 = $ 61,585
If this is what your question means, then;
1. 356 tickets at $80 apiece2. 275 tickets at $60 apiece3. 369 tickets at $45 apiece
Just multiply the number of tickets per class to its corresponding price:356 tickets * $80 / ticket = $28,480275 tickets * $ 60 / ticket = $16,500369 tickets * $45 / ticket = $16,605
Total = $28,840 + $ 22,000 + $ 16,605
Total = $ 61,585
The total earnings is $ 61,585
Information about the age of participants in a robotics competition is below: A box plot titled "Age of Participants" and labeled "Age" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 31 on the number line. A line in the box is at 16. The whiskers end at 11 and 33. The middle 50% of the data is between what two numbers?
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The middle 50% of the age of participants in the robotics competition falls between 13 and 31.
Explanation:The box plot represents the age distribution of participants in a robotics competition. The box extends from the lower quartile (Q1) to the upper quartile (Q3), which in this case are 13 and 31, respectively. The line within the box represents the median, which is 16. The whiskers represent the range of the data, ending at 11 and 33.
To find the middle 50% of the data, we need to determine the values that lie between Q1 and Q3. Therefore, the middle 50% of the age of participants in the robotics competition falls between 13 and 31.
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hey can you please help me posted picture of question
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y = x³
Which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?
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Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1
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The graph that shows a negative linear relationship that has a correlation coefficient, r, that is closer to -1 is: B. graph B.
What is a Negative Linear Relationship Graph?A graph that shows a negative linear relationship has a trendline that slopes downwards from your left to the right.
The closer the data points are to each other along the trendline in a negative linear graph, the closer the correlation coefficient, r, is to -1.
Therefore, the graph that shows a negative linear relationship and has a correlation coefficient, r, that is closer to -1 is: B. graph B.
Learn more about negative linear relationship graph on:
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Sally has x books that weigh 2 pounds each and 8 books that weigh 3 pounds each. the total weight of her books is 62 pounds. which equation below could be used to find how many 2-pound books sally has?
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8 books of 3 lbs weights 8*3=24lbs
All them add up to 62, therefore we can conclude to the equation :
2x+24=62
or we can simplify to
2x=38
or even
x=19
When no more than 110 units are produced, the cost of producing y units is given by c(x). c(x)equals0.2 x cubed minus 24 x squared plus 1524 x plus 31 comma 272 how many units should be produced in order to have the lowest possible average cost?
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c(x)=0.2x^3-24x^2+1524x+31272
for lowest average cost, we calculate c'(x)=0
thus:
From c(x), we shall have:
c'(x)=0.6x^2-48x+1524
solving for x we get:
x=40+/- 30.6594i
but since we are looking for a definite number of units, we shall do away with the complex part such that we shall remain with:
x=40 units
hence the minimum number of units will be 40 units
hey can you please help me posted picture of question
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Horizontal translations:
Suppose that h> 0:
To graph y = f (x + h), move the graph of h units to the left.
Answer:
option B
So, G(x) is F(x) shifted 6 units to the left.
Thus, the correct answer is option B
What is the standard form of the equation of a circle given by x^2 + y^2 - 18x + 8y + 5 = 0
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x^2 - 18x + y^2 + 8y = -5
x^2-18x +81 - 81 + y^2 + 8y + 16 - 16 = -5.
Then, (x-9)^2 + (y+4)^2 = -5 + 81 + 16 = 92
Then the desired equation is (x-9)^2 + (y+4)^2 = 92.
Answer:
x-9,y+4,92
Step-by-step explanation:
Find the area of the parallelogram with vertices at (−2,3),(−2,3), (6,14),(6,14), (−14,1),(−14,1), and (−6,12).(−6,12).