Answer:
It will equal one:)))))))))
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
https://brainly.com/question/7563683
#SPJ2
did you encounter any difficulties in choosing the graph of the given situations.
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
giving brainliest !! *easy*
Answer:
r2r [tex]\pi \: r[/tex]mWhat is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
I am thinking of a number if you add two to the number then double it, you get ten. what is the number?
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.
Answer:
3
Step-by-step explanation:
Do this backwards.
10 ÷ 2 = 5
5 - 2 = 3
Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.
can someone find the slope intercept equation thanks and can you explain it
Answer:
the slope is -2x
Step-by-step explanation:
Its negative because the line is going towards the negatives, and 2 because the slope is rise over run. the line is going up 2 and over 1, which means 2/1, which simplifies to 2
Answer:
-2x -2
Step-by-step explanation:
The slope is negative because it is going down instead of up
y intercept is -2
Use rise over run
Rise is y x is run select 2 points and check rise/run
Slope= - x -(y)
-2
Given the functions f(x), g(x), and h(x) shown below; list the functions from greatest to least by average rate of
change over the intervall
Answer:
f(x) > h(x) > g(x)
Step-by-step explanation:
For the average rate of change of a function between x = a and x = b,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table given,
Average rate of change of function 'f' between x = 1 and x = 3,
Average rate of change = [tex]\frac{f(3)-f(1)}{3-1}[/tex]
= [tex]\frac{15-7}{3-1}[/tex]
= 4
For the function 'g',
g(x) = 2x² - 18x
Average rate of change = [tex]\frac{g(3)-g(1)}{3-1}[/tex]
g(3) = 2(3)²- 18(3)
= 18 - 54
= -36
g(1) = 2(1)² - 18(1)
= 2 - 18
= -16
Therefore average rate of change = [tex]\frac{-36+16}{3-1}[/tex]
= -10
From the graph attached,
Average rate of change of the graph between x = 1 and x = 3,
Average rate of change = [tex]\frac{h(3)-h(1)}{3-1}[/tex]
h(3) = 7.5 [Although the graph is not clear]
h(1) = 2
Average rate of change = [tex]\frac{7.5-2}{3-1}[/tex]
= 2.75
Therefore, order of rate of change (from greatest to the least) for the given functions will be,
f(x) > h(x) > g(x)
The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.
Answer: 76
Step-by-step explanation:
Answer:
125 X 40% = 50.00
50.00 is the increase from the markup rate
Answer is 40%
Step-by-step explanation:
Help please I suck at math
Answer:
1 biodata is on my class then you will contact or person
Answer:
hey
Step-by-step explanation:
How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.
9514 1404 393
Answer:
120
Step-by-step explanation:
The number of permutations of 5 things taken 4 at a time is 120.
__
There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.
120 4-digit codes can be formed using odd digits with no repetition.
what is the y intercept of this line
Answer:1
Step-by-step explanation:
How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).
In Usama's high school, there are 190 teachers and 2650 students. What is the student-teacher ratio?
a. 1:14
b. 14:1
C. 503500
Answer:
i think it's 14:1 i can't understand 503500.
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.
Answer:56
Step-by-step explanation:
HELP PLEASE WILL MARK BRAINLIEST!
Find the area. Simplify your answer.
Answer:
assuming that the figure is a parallelogram:
area = base x height
area = (x + 3) (2x) = 2x² + 6x
Step-by-step explanation:
Simplify the following fractions
8/24
8/32
6/30
12/24
9/21
5/20
Answer:
for 8/24 the answer will be 1/3.
and for 8/32 the answer will be 1/4.
and for 6/30 the answer will be 1/5.
and for 12/24 the answer will be 1/2.
and for 9/21 the answer will be 3/7.
and for 5/20 the answer will be 1/4
Step-by-step explanation:
Find the slope of the line.
Y=5/3x
Answer:
[tex] \frac{5}{3} [/tex]
~ See attatchment
Step-by-step explanation:
I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.
The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.
Hi!
Let's check if the equation that we're going to work with is in slope-intercept form.
Remember, the slope-intercept formula is:
[tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]
Where:
m -> Slopeb -> Y-interceptDetails:
[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]
Therefore:
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]
I hope I helped, have a wonderful day!
If you need any explanation or clarification, reach out to me, I'm always happy to help. :D
Can someone help me on problem one and if you can and only if you want can you also help me on two btw please show work I will give branily crown thing.
Answer:
17/15 _53/6
Step-by-step explanation:
The other is problem 1 and the other is problem 2
PROBLEM #1:
As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].
To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].
All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).
PROBLEM #2:
For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].
Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].
Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).
Hope this helps!! :)
A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?
The dimension of the box is 12 by 7 by 8
How to calculate the volme of a boxThe volume of the box = lwh
Given the following
l = w
w = w - 5
h = w - 4
Hence;
w(w-5)(w-4) = 56w
Expand to have
(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0
Factorize to get the value of w;
w(w^2-9w-36)=0
w^2 - 12w + 3w - 36 = 0
w(w-12) + 3(w-12)= 0
w = -3 and 12
Hence the dimension of the box is 12 by 7 by 8
Learn more on volume of box here: https://brainly.com/question/15532376
A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578
Answer:
Step-by-step explanation:
236, did on edge
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
List your most frequent self criticism and analyze how you believe it developed
Answer:
Step-by-step explanation:I’m not smart because I am get fs
i got 10.6 am i wrong?
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700
Good afternoon!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
9514 1404 393
Answer:
5) 112°
6) 40°
Step-by-step explanation:
5) The angle E or ? is half the sum of the intercepted arcs:
? = (130° +94°)/2 = 112°
__
6) The angle D is half the difference of the intercepted arcs:
? = (135° -55°)/2 = 40°
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Find the slope of the line that passes through (6, 8) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]
Simplify.
[tex]m = \frac{1}{4} [/tex]
Therefor, the slope is 1/4.
A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.
did I get this right?
The sine function is:
f(x) = -2*sin(x/2) + 3.
So you got it almost correctly, you only forgot to apply the reflection.
How to get the sine function?We start with the general sine function:
[tex]a*g(w*x + p) +m[/tex]
where g(x) = sin(x)
a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:f(0) = 2*sin(w*0 + p) + 3 = 3
= 2*sin(p) + 3 = 3
Then we must have p = 0, so there is no phase shift.
We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:
f(x) = 2*-sin(wx) + 3
Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:
f(x) = -2*sin(x/2) + 3.
This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.
If you want to learn more about sinusoidal functions, you can read:
https://brainly.com/question/18055768
Answer:
I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures
hope this helps
What is the image of (-8,-7) after a dilation by a scale factor of 2 centered at the origin?
Answer:
The image is (-16,-14)
Step-by-step explanation:
Given
Represent the point with A
[tex]A = (-8,-7)[/tex]
[tex]Scale\ factor = 2[/tex]
Required
Determine the image (A')
The image is calculated as:
[tex]A' = A * Scale\ factor[/tex]
[tex]A' = (-8,-7) * 2[/tex]
So, we have:
[tex]A' = (-8* 2,-7* 2)[/tex]
[tex]A' = (-16,-14)[/tex]
Hence, the image is (-16,-14)