Answer:
All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:
given the second expression:
x - y = 1
We'll replace y with it's value in the first expression:
x - (y) = 1
x - (5 - 2x) = 1
Now we can expand the resulting equation:
x - 5 + 2x = 1
So neither of the answers provided are correct.
You can then solve for x:
x - 5 + 2x = 1
x - 5 + 5 + 2x = 1 + 5
x + 2x = 6
3x = 6
3x/3 = 6/3
x = 2
After that, you can find y by plugging x into either of the two original equations:
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1
Image P is shown in the coordinate grid Image P is translated 2.5 units to the right and 3.5 units up to create image P'.
6
Image P
1
2 3
4
Which rule describes this transformation?
Answer:
Here we do not have the image P, but let's solve this in a general way.
Suppose that we have a point A (x,y)
If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)
The new point will be (x + n, y)
if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)
Then if our figure was p (x, y)
The new figure is p(x + 2.5, y + 3.5)
So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.
A national census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four national census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the population was 65.309 million and as per the census data of 2017 the population was 207.774 million;
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
b) Interpret the slope and P intercept
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
Answer:
a) [tex]P(t) = 3166t + 65309[/tex]
b) The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) The estimated population of Pakistan in 2027 will be of 239 439 million people.
Step-by-step explanation:
Linear function:
In this question, the linear function for the Population in Pakistan in t years after 1972 is given by the following equation:
[tex]P(t) = mt + P(0)[/tex]
In which P(t) is given in millions of people.
In which m is the slope, that is, the average number by which the population changes each year, and P(0) is the population in 1972.
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
In 1972, the population was of 65.309 million. This means that [tex]P(0) = 65.309[/tex].
So
[tex]P(t) = mt + 65.309[/tex]
In 2017, the population was 207.774 million.
2017 - 1972 = 45
This means that [tex]P(45) = 207.774[/tex]. So
[tex]207774 = 45m + 65309[/tex]
[tex]45m = 207774 - 65309[/tex]
[tex]m = \frac{(207774 - 65309)}{45}[/tex]
[tex]m = 3166[/tex]
So
[tex]P(t) = 3166t + 65309[/tex]
b) Interpret the slope and P intercept
Following the explanation before item a:
The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
2027 - 1972 = 55
So this is
[tex]P(55) = 3166*55 + 65309 = 239 439[/tex]
The estimated population of Pakistan in 2027 will be of 239 439 million people.
Please help me and I'll give you Brainly star
Need help with this:(
Answer:
x=0
y=-3
Step-by-step explanation:
a cube has six faces what is the probability that the the number 4 will land face up
1:6
please mark me brainliest and follow me my friend.
Answer is no longer needed..
Answer:
WARNING DO NOT JOIN THE ZOOM OF 825 338 1513⚠ OR DO NOT JOIN ANY ZOOMS FROM ANYONE EXCEPT REAL LIFE FRIENDS OR FRIENDS FAMILY OR TEACHERS! HIS ZOOM NAME IS Mysterious Men HE ASKS GIRLS TO DO INAPPROPRIATE THINGS PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS! PLS PASS THIS AROUND!
Area of composite shape
Find the area of the shape shown below.
1
12
13
6
Dj Jacqueline is making a playlist for a friend: she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop. 25 reggae, and 10 blues songs, and she wants to play an equal number of pop. reggae, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth
hhhhhhheeeeeeeeeeellllllllllllllllpppppppppp mmmmmmmmmeeeeeeeeeeee pppppppplllllllllleeeeeaaaaaaaaassssseeeeee!!!!!!!
35 Celsius but it really depends on your opinion
Which which equation is standard form has a graph that passes through the point -4 2 and has a slope of 9/2
Answer:
Equation of straight line that passes through (-4, 2) and has slope 9/2 is
[tex]y-2=\frac{9}{2} (x+4)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex] ---------(2)
Here
[tex]m = \frac {9}{2}[/tex] and [tex](x_1, y_1) = (-4, 2)[/tex]
Substituting values in equation (1)
[tex]y-2=\frac{9}{2} (x+4)[/tex]
Can you guys help me quickly
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
WORTH 65 PTS PLEASE ANWSER AS SOON AS POSIBLE The ratio between the number of girls and the number of boys in a school is 3 : 4 if the number of boys is 140, find the number of girls
Answer:
105 girls
Step-by-step explanation:
The ratio between girls and boys is 3:4, which means for every 3 girls, there are 4 boys. We are trying to solve for the number of girls, so the ratio will be x:140. First let's divide 140 by 4 to find out the value of each part.
We will get 35 for each part.
Multiply 35 by 3 to get 105. There we find that there are 105 girls for 140 boys. Hope this helped :)
pls help me, i’ll give brainly
Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2 [/tex]
Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.
What is the solution to the system?
(
,
)
Answer:
(12, -12)
Step-by-Step:
I got it right on Edge 2021
Answer:
its 12,-
12
Step-by-step explanation:
graph -3x+y=10 using slope-intercept form
I graphed it using slope-intercept form.
Answer:
Slope-intercept form: (y=mx+b) y=3x+10
To graph, place points at (-2, 4), (-3, 1), and (-4, -2), then draw a line connecting them
Step-by-step explanation:
The 10 in the equation represents where the line will intercept the y-axis. The 3x means that for every 1 unit you move to the right, you move 3 units up (or 1 to the left, 3 units down).
PLEASE HELP AND ANSWER ALL 3
Answer: 10.) -6 and it's B
11.) A
12.) C
Step-by-step explanation:
Mr. Garza had 178 pencils in a storage room. He put 46 more boxes of pencils in the storage room. Each box contained 12 pencils. Which of these is the best estimate of the number of pencils Mr. Garza now has in his storage room?
Answer: 730
Step-by-step explanation:
46x12+178= 730
whats the unit rate of 4 and 3/4
Answer:
3/16
Step-by-step explanation:
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
When Josh babysits, he charges a flat fee of $14 plus an
hourly rate of $9. How long would Josh need to babysit if he
wants to earn $86 in one night?
Answer:
8
Step-by-step explanation
86-14=72 this is the hourly rate before the flat fee is added on. Now you have to divide $72 by $9 to see how many hours josh needs to work. Josh gets paid $9 an hour so he needs to work for 8 hours in order to get $72. Then add the flat fee of 14 and you get $86
Mr. Marcus is splitting a huge new pack of colored pencils equally among 25 students after splitting the pencils he has 4 left if there were 429 colored pencils to begin with how many did each student receive
Answer:
hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)
Its 17 if i id math correctly! sorry bout the other person have a great day
Step-by-step explanation:
Can someone help me with this please
Answer:
the picture is upside down
Step-by-step explanation:
If x=-3 what does 6+5x
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
8 divided by the sum of 9 and 3?
6 divided by the sum of 7 and 6?
Answer:
1. 0.66666666666
2. 0.46153846153
Step-by-step explanation:
8 divided by the sum of 9 and 3 is basically just 8 / ( 9 + 3 )
6 divided by the sum of 7 and 6 is basically just 6 / ( 7 + 6 )
Help! I’m trying to help my friend get caught up who had been ill.
Answer:
down below
Step-by-step explanation:
i answered so that the other guy can get a brainliest:)
Why is a sample used more often more than a population
Answer:
A number which describes a characteristic of a population. ... Uses a sample to find conclusions, analyzations, and probability about a population. Why is a sample used more often than a population? Because it is more difficult to get an accurate population where as a sample is smaller and easier to assess.
help please....and thank you
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19