Answer: 3x+8
Step-by-step explanation:
Answer:
3x+8
Step-by-step explanation:
5-(x-3)=4x
5-x+3+4x
3x+8
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:
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Which expression is equivalent to the expression 6h + 2?
(2 + 4h) + 2
(2 + 4h) + h
(1 + 5h) + 2
(2 + 5h) + h
Answer:
D
Step-by-step explanation:
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:
Identify the slope and y-intercept of the line.
8x - 3y = 12
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
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
Connor’s temperature was 0.7 degrees higher last night than it was this morning. His temperature this morning was 101.2 degrees. What was his temperature last night?
Answer:
101.9 degrees
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Let's define what we have:
Conner's morning temperature: 101.2 degrees
Conner's last night temperature: morning temperature + 0.7 degrees
We know that Conner's last night temperature is addition because it was higher (key word) than the morning temperature.
Therefore, we simply add the values together to get our answer:
101.2 + 0.7 = 101.9 degrees
Juan determines that a triangle has sides that measure 5 cm, 12 cm, and 13 cm. The same triangle also has one 90°° angle and two angles that are less than 90°°. Which best describes the triangle Juan is measuring?
isosceles right
scalene acute
scalene right
equilateral right
Answer:
scalene right
Step-by-step explanation:
A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!
What is one thing that you found interesting about future value and present value for compound interest? 100 words ^
Answer:
Compound interest is that which, once generated, is added to the capital, in order to expand the calculation base on which, in turn, new interests will be generated. Thus, in short, if the interest is, for example, 5 percent, said interest will be added to the initial capital, with which that 5% generated will be increasing, since it will be calculated on an increasingly large basis.
Compound interest is very important for financial investments, as it maximizes the results of said investments, even more so when compared to simple interest, in which the interest generated is not added to the initial capital.
giving brainliest !! *easy*
um here’s the graph
which rule descibes the pattern?
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get
Answer:
7Step-by-step explanation:
Assume each player get x cards. Total number of cards now is 4x+24=52.
Therefore, 4x=52-24=28.
Then, x= 28/4=7.
en la pastelería de Luisa le regalan a una casa hogar 18 galletas dé cada 60 que se hornean a la semana si la semana pasada hornearon 720 galletas Cuántas regalaron
Answer:
La pastelería de Luisa regaló 216 galletas a la casa hogar.
Step-by-step explanation:
De acuerdo con el enunciado, la pastelería de Luisa regalan 18 galletas a una casa hogar por cada 60 galletas horneadas en una semana. El total de galletas regaladas por hornear 720 galletas se determina por la siguiente Regla de Tres Simple:
[tex]x = \frac{18}{60}\times 720[/tex]
[tex]x = 216[/tex]
La pastelería de Luisa regaló 216 galletas a la casa hogar.
How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?
Answer:
88.29joules
Step-by-step explanation:
mgh=gravitational potential energy
(15kg)(9.81)(0.6)= 88.29joules
Movie Theaters There are two movie theaters in a town. A student wants to compare the amount of
money each theater makes over a period of days. The following box plots show the data for the
amount of money each theater makes over a period of days. Compare the median of each box plot.
Click here to see the box plot for movie theater 1.
Click here to see the box plot for movie theater 2.
Vhich of the following is the best description of the medians?
A. The median for Movie Theater 1 is greater.
B. The median for Movie Theater 2 is greater.
C. The medians are about the same.
The medians are about the same.
Option C is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
Learn more about the median here:
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Use the number line to answer the questions that follow
Answer:
A. make a point on the line to the right 2 units from 0
B. the opposite of 2 isn't located at the same place as point P on the number line because the opposite of 2 is -2 and the point P is the opposite of negative 2 which would be positive 2. So the two points are not in the same place because they have different signs.
Step-by-step explanation:
hope this helps
I know the wording is a bit complicated lol <3
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
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]
please help !!!! asap
Answer:
y = 1
Step-by-step explanation:
-3y + 14 + y = 12
-3y + y + 14 = 12
-2y + 14 = 12
-2y + 14 - 14 = 12 - 14
-2y = -2
-2y/-2 = -2/-2
y = 1
Answer:
y=1
Step-by-step explanation:
Hey There!
So to solve this type of problem we use inverse operations
-3y+14+y=12
step 1 subtract 14 from each side
14-14
12-14=-2
now we have
-3y+y=-2
step 2 combine like terms
-3y+y=-2y
now we have -2y=-2
step 3 divide each side by -2
-2/-2=1
so we can conclude that y=1
What 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
24=3(n-5) what does n equal
Answer:
The answer is n = 13
Step-by-step explanation:
1) Divide both sides by 3.
[tex] \frac{3}{24} = n - 5 [/tex]
2) Simplify 24/3 to 8.
[tex]8 = n - 5[/tex]
3) Add 5 to both sides.
[tex]8 + 5 = n[/tex]
4) Simplify 8 + 5 to 13.
[tex]13 = n[/tex]
5) Switch sides.
[tex]n = 13[/tex]
Therefor, the answer for this equation is n = 13.
There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
Answer:
60 more girls are there than boys at Virginia Middle School.Domain and range of graph need ASAP
Answer:
Domain: [tex]-6 \leq x \leq 3[/tex]
Range: [tex]-3 \leq x \leq 6[/tex]
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
How many different 12 member juries can be chosen from a pool of 20 people?
Answer:
1,007,760
Step-by-step explanation:
This is a question that bothers on selection
Using the combination formula
nCr = n!/(n-r)!r!
20C12 = 20!/(20-12)!12!
20C12 = 20!/8!12!
20C12 = 20*19*18*17*16*15*14*13*12!/8!12!
20C12 = 20*19*18*17*16*15*14*13/8!
20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2
20C12 = 5,079,110,400/5040
20C12 = 1,007,760
Hence this can be done 1,007,760 different ways
Which two prisms have the same height
Answer:
The height of prism A is 4, the height of prism B is 5, the height of prism C is 4, and the height or prism D is 2. Since 4=4, prisms A and C have the same height.
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
RQ= x+1 QP=7 RP=2x+8 solve for RP
Answer:
RP = 8
Step-by-step explanation:
RQ + QP = RP (segment addition theorem)
(x + 1) + 7 = 2x + 8 (substitution)
Add like terms
x + 8 = 2x + 8
8 - 8 = 2x - x
0 = x
x = 0
✔️RP = (x + 1) + 7
Plug in the value of x
RP = (0 + 1) + 7
RP = 1 + 7
RP = 8
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
Kobe drove 240 miles in 6 hours. To find the unit rate, you should determine how many miles Kobe drove
in hour(s).
Answer:
40 miles per hour
Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
240 / 6 = 40
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
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: