2x + 3y = 18 3x -4y > 16. Give the Domain and Range, Slope, and Y-intercept for each line. Graph each equation above on the graph below and show all work. Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer. 2x + 3y = 18 3x -4y > 16 Slope-Intercept Form: Slope-Intercept Form: Domain: Domain: Range: Range: Slope: Slope: Y-intercept: Y-intercept:
Answers
2x + 3y = 18
3x -4y > 16
Part A)
2x + 3y = 18 -------> 3y=[18-2x]---------> y=6-(2/3)x (Slope-Intercept Form)
using a graph tool
see the attached figure
the domain is the interval (-∞,∞)--------> ( all real numbers)
Domain of a function f (x) is the set of all the values of x for which the function is defined
the range is the interval (-∞,∞)--------> ( all real numbers)
Range of the function f(x) is the set of all the values that f(x) takes
Slope-Intercept Form------------> y=6-(2/3)x---------> [y=mx+b]
where
m------> is the slope------------> m=-2/3
Slope=-2/3
Y-intercept is the point for y=0
y=6-(2/3)x-------------> 0=6-(2/3)x--------> x=9
Y-intercept is the point (9,0)
Part B)
3x -4y > 16----------> -4y > 16-3x-----> y < -4+(3/4)x (Slope-Intercept Form)
using a graph tool
see the attached figure
the domain is the interval (-∞,∞)--------> ( all real numbers)
Domain of a function f (x) is the set of all the values for which the function is defined
the range is the interval (-∞,∞)--------> ( all real numbers)
Range of the function f(x) is the set of all the values that f(x) takes
Slope-Intercept Form------------> y = -4+(3/4)x---------> [y=mx+b]
where
m------> is the slope------------> m=3/4
Slope=3/4
Y-intercept is the point for y=0
y = -4+(3/4)x------------->0= -4+(3/4)x-----> 4=(3/4)x----> 16/3 = x----> x=16/3
Y-intercept is the point (5.33,0)
Related Questions
helppppppppppppppppppppppppp
Answers
Remember that by power properties we have:
(5 (1 / m ^ 2)) * (2 (1 / m ^ 3))
Rewriting the equation:
((5) * (2)) * (1 / m ^ 2) * (1 / m ^ 3)
Then, again for power properties:
10 / m ^ 5
answer:
10 / m ^ 5
option 3
HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPLAIN.
Answers
.. yes, x=4.78 is a solution to x < 5
As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.
A study found that 3939% of the assisted reproductive technology (art) cycles resulted in pregnancies. twenty-fourfour percent of the art pregnancies resulted in multiple births. (a) find the probability that a random selected art cycle resulted in a pregnancy and produced a multiple birth. (b) find the probability that a randomly selected art cycle that resulted in a pregnancy did not produce a multiple birth. (c) would it be unusual for a randomly selected art cycle to result in a pregnancy and produce a multiple birth? explain
Answers
P(A and B) = P(A).P(B│A)
Look for P(A) and P(B│A).
P(A) = 39/100 = 0.39
P(B│A) =24/100 = 0.24
The probability that a randomly selected ART cycle resulted in a pregnancy and produced a multiple birth is P(A and B) is:
P(A and B) = P(A). P(B│A)
= 0.39 * 0.24
= 0.0936
(b) Let B ’ - the complement of B. This means that this is the probability that a randomly selected ART cycle that resulted in a pregnancy did not make a multiple birth is P(B’│A).
Determine P(B’│A) using the formula the complement of an event, P(E’) = 1 – P(E), where E is an event and E’ is its complement. Recall that P(B│A) = 0.24.
P(B’│A) = 1 – P(B│A)
= 1 – 0.24
= 0.76
(c) Knowing that P(A and B) = 0.0936. An event that happens with a probability of 0.05 or less is normally considered unusual. Use this information to know whether it would be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple birth.
0.0936;
0.2964; and
no.
Explanation:
39% of ART cycles result in pregnancy. Of those, 24% result in multiple births. To find the probability that a random ART cycle results in a pregnancy with multiple births, we want to find 24% of 39%; this means we multiply these:
0.24(0.39) = 0.0936.
To find the probability that it will not result in multiple births, we subtract from 100%; since 24% of the pregnancies are multiple births, 100-24 = 76% will not be multiple births.
Now we find 76% of 39%; we multiply again: 0.76(0.39) = 0.2964.
In statistics, a result is considered unusual if the probability is 0.05 or less. Our probability was 0.0936, which is greater than 0.05; thus it is not unusual.
1.) Keeping in mind that a function's rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?
Answers
what is the surface area?
Answers
so as you can see, the figure is really just 3 rectangles and 2 triangles.
the rectangles are 5x7, another 5x7, and the one at the bottom is a 6x7.
the triangles have a base of 6, a height of 4.
so, just the area of each, add them up, and that's the area of the figure.
[tex]\bf \stackrel{left~and~right}{(5\cdot 7)}+\stackrel{bottom}{(6\cdot 7)}+\stackrel{front~and~back}{2\left[\frac{1}{2}(4)(6) \right]}[/tex]
The rain caused the river to rise a total of 6 and 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain? (must be a whole number)
(there is a ratio) (2/3 divided by 1) and (6 and 2/3 divided by what?)
Answers
I hope this helps
Which comparison is correct for the values of f(x) and g(x) when x=−1 ?
Function A: f(x)= −x^2+1
Function B:
f(−1)>g(−1)
f(−1)=g(−1)
f(−1)
Answers
Answer:
[tex]f(-1)>g(-1)[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=-x^2+1[/tex]
We can plug x=-1 and find f(x)
we get
[tex]f(-1)=-(-1)^2+1[/tex]
[tex]f(-1)=-1+1[/tex]
[tex]f(-1)=0[/tex]
now, we can find g(-1)
we can look at the table and find g(-1)
so, we get
[tex]g(-1)=-4[/tex]
we know that
-4 is less than 0
so,
[tex]g(-1)<f(-1)[/tex]
or we get
[tex]f(-1)>g(-1)[/tex]
What are the solutions to the equation? n2−8n+16=25 Enter your answers in the boxes.
n1=
n2=
Answers
(n - 9)(n + 1) = 0
n1= 9
n2= -1
A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.
If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.
Answers
x--------------> is the width of the shipping container
h-------------> is the height of the shipping container
l--------------> is the length of the shipping container
V------------> volume rectangular prism containers
we know that
V=x*h*l
l=5*x
and
V=5x³ + 7.5x²
then
clearing the variable h
h=V/[x*l]---------> h=[5x³ + 7.5x²]/[x*(5*x)]--------> h=[5x³ + 7.5x²]/[5*x²)]
h=(x²/x²)*[5x + 7.5]/[5]--------> h=(5x/5)+(7.5/5)------> h=x+1.5
the answer is h=(x+1.5)
Answer:
h = x + 1.5
Step-by-step explanation:
Start with the width. The width = x
The length is 5 times the width = 5*x or 5x
The volume of this is
Two things V = 5x^3 + 7.5x^2V = l * w * h Substitute the length and width into the raw formula5x^3 + 7.5x^2 = 5x * x * h
5x^3 + 7.5x^2 = 5x^2 * h Divide both sides by 5x^2
5x^3 / 5x^2 + 7.5x^2 / 5x^2 = 5x^2*h/ 5x^2
x + 1.5 = h <<<< Answer
According to these three facts, which statements are true?
Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.
Select each correct answer.
The radius of circle V is 16.
The center of circle V is (−5, 0).
Circle V and circle W are similar.
Circle V and circle W have the same center.
Answers
First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.
Second, all circles are similar because they are all the same shape, just different sizes.
Answer:
I am in K12 the answer is below
The radius of circle V is 16.
Circle V and circle W are similar.
Step-by-step explanation:
In the standard equation for a circle centered at any point, a change in the value of the number that is part of the x-term results in a vertical movement ? True or false?
Answers
Answer:
It is False as Changing value of x coordinate results in horizontal movement not in vertical moment.
Step-by-step explanation:
Standard form of circle is given by,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, ( h, k ) = Coordinates of circle and r is radius of circle.
here h is part of x- term.
So, if change value of h to p keeping k and r constant. The coordinate of center shifted in horizontal line whose equation is y = k.
Therefor, It is False as Changing value of x coordinate results in horizontal movement not in vertical moment.
What is the minimum value of the parabola y= x^2+5x
Answers
The minimum value of the parabola y = x^2 + 5x is -25/4.
Explanation:The minimum value of the parabola y = x^2 + 5x can be found by completing the square.
Rewrite the equation as y = (x^2 + 5x + 25/4) - 25/4, which is equivalent to y = (x + 5/2)^2 - 25/4.
Since the square of a real number is always non-negative, the minimum value of the parabola is -25/4.
Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes
Answers
----------
A proportion that can be used to represent the picture sizes is p(poster printed) times 4 equals e(enlarged poster), or p*4=e.
----------
Have a great day!
Answer with Step-by-step explanation:
Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall.
The enlarged poster is 20 inches wide and 30 inches tall.
20=4×5
i.e. width of enlarged picture=5×width of actual picture
30=6×5
i.e. height of enlarged picture=5×height of actual picture
Hence, proportion that can be used to represent the picture sizes is:
picture:enlarged picture = 1:5
16 = X + 32
............................
Answers
[tex]\boxed{ 16-(x+32)=0 } \\ \\ ( -16 - x = -1 *( (x + 16) \\ \\ \boxed{\boxed{-x-16 = 0 }} \\ \\ add \ 16 \ from \ both \ sides \\ \\ (-1) : x = (-16).[/tex]
I hope this helps you! :)
Lucinda wants to build a square sandbox but has no way of measuring angles. Explain how she can make sure that the samdbox is meansuring only length..
A) Arrange four equal-length sides so the diagonals bisect each other.
B) Arrange four-length sides so the diagonalsare equal in length
C) Make each diagonal the same length as four-length sides
D) This is not possible, Luninda has to be able to measure a right angle.
Answers
Your Turn: Using the figure, a
c
= d
a
.
What steps need to be taken to change this to a² = cd?
Example: Multiply by 2; divide by a, etc
Answers
[tex]\frac{a}{c} = \frac{d}{a} [/tex]
First step is to get rid of fractions. We start by multiplying both sides by a.
[tex]\frac{a}{c} = \frac{d}{a} /*a \\ [/tex]
Now we cancel a on right side and we multiply both sides by c.
[tex]\frac{ a^{2}}{c} = \frac{da}{a} /*c \\ \frac{ a^{2}c}{c} = dc[/tex]
After canceling c on the right side we are left with:
[tex]a^{2} = dc or a^{2} = cd[/tex]
Please help. 15 points. Thank you.
Answers
1. 6 cm = 5*(actual size)
.. 6/5 cm = actual size
2. 1.8 in = (scale factor)*4.5 in
.. (1.8 in)/(4.5 in) = scale factor
.. 2/5 = scale factor
Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?
A)4
B)5
C)16
D)18
Answers
The value of y when x=3 is 16.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
we have x=6 and y= 8.
If y is inversely related to x
y α 1/x
y= k/x
where is constant of proportionality
k = yx
k = 8(6)
k =48
So, y= k/x
y = 48/ 3
y= 16
Learn more about proportion here:
https://brainly.com/question/29774220
#SPJ1
Find the area of the parallelogram with vertices a(1,2,3), b(1,3,6), c(3,8,6), and d(3,7,3,)
Answers
Give 4 equations that uses at least 2 different operations. (PEMDAS) The answer has to be
- 23
- 25
- 27
and
- 28
REMEMBER: 4 equations, one for each answer
Please help
Answers
(5+5)+15=x25
(7*3)+2=x23
(9*3)=x27
If a chicken farm sold 3000 dozen eggs last week how many individual eggs were sold
Answers
3000*12= 36,000
That means that a total of 36,000 eggs were sold last week.
Hope This Helps! :)
multiply3000x12
12=number of eggs in a dozen
What is the product of 2x-1 and 2x+6? Write your answer in standard form.
Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.
Answers
13. The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.
Answers
Write $875.48 in word form
Answers
=
Eight-hundred and seventy-five dollars and forty-eight cents
What is the product of 7√20 and 10√6 ?
Answers
EXPERTS/ACE/TRUSTED HELPERS
Answers
.. D translation 4 units up.
_____
We really don't need to see your keyboard. It is appropriate to use a screen shot program or edit your picture, or both.
Choose the graph of y > x2 − 9.
Answers
Answer with explanation:
The given inequality which represents parabola:
y> x²-9
Checking whether, (0,0) origin satisfies this inequality or not
0 > 0²-9
0> -9
Inequality is true.
So, origin will come under the shaded region.
Points on the boundary are not included.
HELP PLEASE WILL GIVE BRAINLIEST ANSWER 5 QUESTIONS 48 POINTS!
Answers
2). 4/12
3). equally likely
4). A
5). D
1). 8/15
2). 1/3
3). B. equally likely
4). A
5). D
PLEASE SOMEONE HELP ME ON THIS!!
ILL GIVE BRAINLIEST TO YOU IF YOUR ANSWER IS CORRECT
Answers
Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles. The top angle on the sails are marked congruent to each other. The smaller sail has a height of x and a base of 7 inches. The larger sail has a height of 12 inches and a base of 8 inches.
Answers
The smaller sail has a height of 10.5 inches.
Given to usTwo sailboats with sails that are right triangles.The top angle on the sails is marked congruent to each other.The smaller sail has a height of x and a base of 7 inches.The larger sail has a height of 12 inches and a base of 8 inches.Similarity of trianglesWe know that for the two sails of the sailboat,
the right angle will be equal,
the angles at the top of the sail are congruent, {given}
therefore, the third angle will be equal for both the triangles.
thus, both the triangles will be similar to each other.
For similar triangles,The sides will be in ratio.
[tex]\dfrac{12}{8}=\dfrac{x}{7}[/tex]
[tex]\dfrac{12\times 7}{8}=x\\x = 10.5[/tex]
Hence, the smaller sail has a height of 10.5 inches.
Learn more about Similar triangles:
https://brainly.com/question/25882965