Please help. I really need an explanation on how to solve and graph the first equation.
Answers
Answer:
see attached
Step-by-step explanation:
The "slope-intercept" form of an equation for a line is ...
y = mx + b . . . . . . slope m, y-intercept b; m = rise/run
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boundary linesThere are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.
The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:
y ≤ -6x +10
This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:
m = -6 = rise/run = -6/1
(y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line
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Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.
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In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).
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shadingTo determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.
first: 6x ≤
second: y ≥
These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.
_____
Additional comment
The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)
If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.
Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.
Related Questions
Which equation best matches the scenario below?
The total cost t is proportional to the number n of items purchased at a constant price of $4.
A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n
Answers
Answer:
Definetly t = 4n
the product of two factors is 4200.if one of the factors is 60.what is the other factor?
Answers
Answer:
Other factor is 70
Step-by-step explanation:
Let,
Other factor = x
Then,
x × 60 = 4200
x = 4200/60
x = 420/6
x = 70
∴Another factor is 70.
Answer:
Solution given
let two factor be a and b.
if one factor a=60, then b=?
we have
product of factor=4200
a*b=4200
60*b=4200
b=[tex]\frac{4200}{60}=70[/tex]
Step-by-step explanation:
45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435
Answers
Answer:d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
A company has two large computers. The slower computer can send all the company’s email in 50 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?
Answers
Answer:
18 minutes and 45 seconds
Step-by-step explanation:
[tex]\frac{1}{50}[/tex] + [tex]\frac{1}{30}[/tex] = [tex]\frac{3+5}{150}[/tex] = [tex]\frac{4}{75}[/tex]
1 ÷ [tex]\frac{4}{75}[/tex] = [tex]\frac{75}{4}[/tex] = 18' 45''
Answer:
18.75 minutes If A and B work together
NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answers
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to approximate the ratio (KL)/(JL).
- 0.64
- 0.77
- 0.83
- 1.2
Answers
Answer:
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83
Step-by-step explanation:
The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).
We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.
We can use this proportion:
[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]
[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle
KL, JL ⇒ ΔJKL
[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle
6.4, 7.7 ⇒ triangle 3
[Now see the attachment]
Now we can rewrite the equation to show the ratios of the side lengths within each triangle.
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]
[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL
KL, 6.4 ⇒ adjacent to 40° angle
[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3
JL, 7.7 ⇒ adjacent to 40° angle
Answer: it’s 0.82
Step-by-step explanation:
what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.
Answers
Answer:
c = 5b ±sqrt(-10(b+a)+2)
Step-by-step explanation:
By using the Pythagoras theorem,
c² = a² + b²
a = b-5
b = a+5
c² = (b-5)² + (a+5)²
c² = b²-10b+25 + a²+10a+25
c² = b²-10b-10a+50
c² = b²-10(b+a)+50
c = 5b ±sqrt(-10(b+a)+2)
Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.
Answers
Answer:
9π + 18
Step-by-step explanation:
The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274
3] If the p.d.f., of the random variable X is given by
f(x)= K/sqrt x &0 otherwise
(c) P(|X| < 3)
(d) E(2X - 2)
(e) V(3X)
Answers
Answer:
PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.
Find the least common denominator for these fractions.
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
During the last year the value of your house decreased by 20%. If the value of your house is $265,000 today, what was the value of your house last year? Round your answer to the nearest cent, if necessary.
Answers
Answer: 331,250
Step-by-step explanation: hope it helps
Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.
Answers
Answer:
C.
Step-by-step explanation:
Pi = circumference / diameter.
Please help me with this i am ver confused
Answers
2) the third option
hope this helped!
Answer:
1) 2/x³ the secound option
2)1/x²⁴ the secound option
I think
Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answers
Answer:
Total earning Kanica wants to make is at least $750
The commission she gets is 7.5 % Therefore to find the sales she should make we use :
(Total earnings * 100% )/ Commission
= (100 * 750) / 7.5
=75000/7.5
= $ 10,000
The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Kanica wants to earn at least $750 this week in commission.
Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.
The value of x can be found as follows:
x = 750/(7.5%)
x = (750/7.5)x100
x = $10,000
Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ5
7/8 = ?/48
A. 1
B. 42
C. 6
D. 13
Answers
7/8= B. 42/48
#HOPE THIS HELP
Which expression is a sum of cubes?
0-24a15 +125018
-64a27 +08
O
- 3x + 6
81X4+ + By
8y40
Answers
This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)
Answer: C
Step-by-step explanation:
y = 3 tan(x2 + 5) [using Chain Rule]
Answers
Answer:
6x sec2 (x2+5) the number to are in the top of x a c.
A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow
Answers
Answer:
Probability 29%
Step-by-step explanation:
Answer:
65/139
Step-by-step explanation:
Just did this problem
Write an equation for a rational function with:
Vertical asymptotes of x = 1 and x = 4
x intercepts at (-1,0) and (-6,0)
y intercept at (0,8)
Use y as the output variable. You may leave your answer in factored form.
Answers
Answer:
[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Step-by-step explanation:
Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.
Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.
Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:
[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]
[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]
[tex]8=\frac{6a}{4}[/tex]
[tex]32=6a[/tex]
[tex]\frac{32}{6}=a[/tex]
[tex]\frac{16}{3}=a[/tex]
Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answers
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
Answers
Answer:
25.13ft
Step-by-step explanation:
The length of the fence will be the circumference.
[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]
Pls look at photos I’ll give 30 points
Answers
Help help help math math
Answers
Answer:1 or 2/2
Step-by-step explanation:
-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two
For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2
So y will be 2
And 2/2 is 1
5. Find cos theta if sin theta= -12/13
and tan theta > 0. (6 points)
Answers
[tex]\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}[/tex]
Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?
Answers
Answer:
0.18 i think
Step-by-step explanation:
Find the distance between the two points (1,1) and (3,-4)
Answers
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]
F(x)=2x^2+7 what is the value f(-2)
Answers
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
Write an equation in point-stope form for the line through the given point with the given slope.
Answers
Answer:
y-3=6(x-8)
Step-by-step explanation:
given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!
What is social stratification?
A. Studying a person's ancestors to learn more about his or her
status
B. Ranking people based on factors such as gender, wealth, and
occupation
C. Expecting women to be responsible for nurturing families and
caring for homes
D. Displaying expensive material objects to demonstrate one's status
Answers
Answer:
The answer is B
Step-by-step explanation
It's a system ranking people in a hierarchy
AWNSER DOES ANYONE KNOW the wander PLEASE I WILL GIVE BRIANLIEST
Answers
Answer:
C - qd
Step-by-step explanation:
qid means four times a day
tid means three times a day
qd means every other day (answer)
qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)
Answer:
C. qd
Step-by-step explanation:
qd stands for quaque die in latin. translated to english it means every day.