Answer:
The last option is correct:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
Step-by-step explanation:
We have a pair of equations of lines:
y=-x+1
y=2x+4
The equation of a line can be written as follows:
y=mx+b
Where m is the slope and b is the y-intercept.
Following the form of both lines, we can conclude that:
The first line has slope -1 and y-intercept 1
The second line has slope 2 and y-intercept 4.
To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.
The only option which has all the correct information is the last one:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
The fourth option is correct which is : On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
For plotting the graph of a line we compare the given equation of the line to the standard equation: y = mx + c
where m = slope of the lie
c = intercept on y- axis
(i) y = -x + 1
comparing with y = mx + c we get,
slope m = -1
y-intercept c = 1
(ii) y = 2x + 4
comparing with y = mx + c we get,
slope m = 2
y-intercept c = 4
Learn more about graph plotting:
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WILL GIVE BRAINLIEST
Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
For a class experiment, Sally's class weighed a log before and after
subjecting it to termites. Before subjecting it to termites, the log
weighed 2/3 of a pound. After the termites, the log weighed 5/12 of a
pound. How much weight did the termites take from the log?
Answer:
Jack Barlow
Step-by-step explanation:
PLS TELL ME WHICH ONE IS TRUE PLS DONT LIE
What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19
Answer:
21 or 12
Step-by-step explanation:
Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).
So, the number of the other house is “yx”, whose numerical value = (10y + x).
Let, “xy” > “yx”.
Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.
Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).
So, (x - y) = 8.
Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:
I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.
II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.
So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).
A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number
Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number
For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81
As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91
When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80
If f(x) = 2 + 6x and g(x) = x2 +3 , determine g(4).
Answer:
The answer is 19.
Step-by-step explanation:
You have to substitute x = 4 into the function of g(x) :
g(x) = x² + 3
g(4) = 4² + 3
g(4) = 16 + 3
g(4) = 19
Lets work on an old skill you ve already learned!
Determine the following for the set of data
13, 18, 13, 14, 13, 16, 14, 21, 13
Mean
Median
Mode
Range
Answer:
mean:15
median:14
mode:13
range: 8
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
Kamila reads 5/8 pages in ⅔ minutes. How many pages does she read per minute?
Answer:
Something like 15/16 page per minute.
Step-by-step explanation:
Tell me if I am wrong.
Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem
Answer:
Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.
5 apples weight 0.6 kilograms. All of our apples weigh the same. How many kilograms will 12 apples weigh?
Answer:
I think 7.2
Step-by-step explanation:
I multiply .6 to 12 and got that
of one
has 30 days
The month of November
sunday
day is chosen at random, what is the
probability that was a sunday
Answer:
1/6 or 16 %
Step-by-step explanation:
hope this helps
Answer:
We know that
November has 30 days, which means 4 weeks and 2 days.
Step-by-step explanation:
Now, 4 weeks will contain 4 Sunday.
The remaining 2 days may be :
1. Sunday and Monday
2. Monday and Tuesday
3. Tuesday and Wednesday
4. Wednesday and Thursday
5. Thursday and Friday
6. Friday and Saturday
7. Saturday and Sunday
Total number of possible outcomes = 7
Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday
Number of favourable outcomes = 2
Required probability (P)= Number of favourable outcomes /Total number of possible outcomes
P = 2/7
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
Look at the image above please! Could someone please do this for me. I have no idea what to do. Please its due today
Answer:
W perimeter = 40
Step-by-step explanation:
All the sides of the squares equal the same amount.
If the perimeter of R is 28 divide 28 by 4 to give you 7.
And to get the area of a square you do length x width
So T would be 3 x 3 = 9
And it you add up 7 + 3 the sides on R and T = 10
So the left side on square W = 10
To get the perimeter multiply 10*4 = 40
I'm 90% sure, but hope this helps!!!
3n + 2 =
24
17
5
i had to put extra letters
Answer:
17 is your answer
Step-by-step explanation:
Are the ratios equivalent? 2/3 and 8/12 Explain.
Answer:
Yes.
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
If two ratios are equal then the ratios are said to be in proportion and equivalent.
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
What is a ratio?The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.
We have,
Two ratios:
2/3 and 8/12
We will make the ratios in their simplest form:
2/3 is in the simplest form.
8/12 = 4x2/4x3 = 2/3 is the simplest form.
We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.
Thus,
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
Learn more about ratios here:
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Question 9 (1 point)
The histograms and summary statistics summarize the data for the number of hits in the season by baseball players
in two leagues. Each data set contains one outlier. What are the values of the two outliers? Explain how each value
is determined to be an outlier.
Some summary statistics for the number of hits by players in each league.
mean median standard deviation minimum Q1 Q3
maximum
league A 151.12 148 26.83
29
136 167 207
league B 163.25 157 24.93
136 145 178 256
Plsss helppp
Answer:
Step-by-step explanation:
League A League B
151.12 163.25
148 157
26.83 24.93
29 136
136 145
167 178
207 256
League A in ascending order :
26.83 , 29 , 136, 148 , 151.12 , 167,207
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=148
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 26.83 , 29 , 136, 148
n = 4
Q1=82.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 148 , 151.12 , 167,207
n = 4
Q3=159.06
IQR = Q3-Q1=159.06-82.5=76.56
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](82.5-1.5\times 76.56,159.06+1.5\times 76.56)[/tex]
(-32.34,273.9)
So, There is no outlier
Maximum = 207
2)
League B in ascending order :
24.93,136,145,157,163.25,178,256
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=157
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 24.93,136,145,157
n = 4
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5[/tex]
Q1=140.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 157,163.25,178,256
n = 4
Q3=170.625
IQR = Q3-Q1=170.625-140.5=30.125
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](140.5-1.5\times 30.125,170.625+1.5\times 30.125)[/tex]
(95.3125,215.8125)
24.93 and 256 are outliers
Maximum = 256
5-2(x+2)=12
Decimal Form and work under the problem too HURRY!!!1
5. If you want to get a black belt in karate, then you must first get a brown belt. If you want to get a brown belt in karate, you must first get a white belt.
Answer:
yes??? what’s the question??
Step-by-step explanation:
Only answer if you know...how to send or accept friend requests.I use brainly.com and when I click on someone's profile this is what it shows so how do I send or accept friend requests then?I need help with my maths question:5x÷3=26
Answer:
your answer is 15.6
Step-by-step explanation:
5x divided by 3= 26
multiply 3 by each side
5x = 78
divide 5 by each side to get x by itself
x= 15.6
The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to find an equation of the line of best fit for the data. Round each value to the nearest hundredth.
The line of best fit is y = _
(I need this by 11 pm please)
Answer:
By rounding up of the constant and coefficient terms, we have;
The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x
Step-by-step explanation:
The table for the data on the number of movie admissions each year is presented as follows;
Year, x [tex]{}[/tex] Admission, y
0 [tex]{}[/tex] 1.24
2 [tex]{}[/tex] 1.26
4 [tex]{}[/tex] 1.39
6 [tex]{}[/tex] 1.47
8 [tex]{}[/tex] 1.49
10 [tex]{}[/tex] 1.57
Using a graphing calculator, we have that the line of best fit is given by the following equation;
y = 1.23047619048 + 3.45714285714 × 10⁻²·x
Which is approximately, y = 1.23 + 3.46 × 10⁻²·x
Let p = 5 - 2i and q = -3 + 7i
Write the expression in the form a + bi
p +9
Amanda's book bag is 0.10. Some of Amanda's pens are removed and replaced with pink pens. Her book bag still contains a total of 20 pens. If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag?
Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]
Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]
ATQ
[tex]\frac{x}{20}[/tex]≈1
x≈20
So, the number of pink pens can be 19 .
The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point
need the coordinates to be able to answer
Refer to the given sets information Y U Z
Answer:
i hate biden
Step-by-step explanation:
need help with number 2 please.
Answer:
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
Which of the following could be a factor of the following Trinomial.
3 points
x?+ 12x +27
Answer:
[tex](x + 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 12x + 27[/tex]
[tex](x {}^{2} + 3x) + (9x + 27)[/tex]
[tex]x(x + 3) + 9(x + 3)[/tex]
[tex](x + 3)(x + 9)[/tex]
[tex] \red { \orange {\boxed {\boxed{\star Option \: 1 \star}}}}[/tex]
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can someone pls help with this i need help since Friday
Answer:
I'm pretty sure that A is right.
Step-by-step explanation:
They share a side, making them equal. It is also shown that RQ and SR are equal. This means that, for SAS, all you need is the angle in between them.
I hope this helps!
What is the value of 3 divide 1 1/4 in simplest form
Answer:
2.4
Step-by-step explanation:
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