Answers
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m = [tex]\frac{3-7}{2-4}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
I think this may help Y=2x-1
Related Questions
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4. In which section of the graph does the actual solution to the system lie? 1 2 3 4
Answers
Answer:
4
Step-by-step explanation:
the answer is 4 so d on edge .
Based on the information given regarding the graph, it should be noted that the correct option is graph 4.
What is a graph?
It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.
From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).
Therefore, the section of the graph where the actual solution to the system lie is in graph 4.
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You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.
Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)
The two events are independent from one another.
Find the 64th term of the following arithmetic sequence.
29,38,47...
Answers
Answer:
596
Step-by-step explanation:
I typed in 656 as the other person it was but it wasn't
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The nth term of an arithmetic series is given as:
a(n) = a(1) + (n - 1)d
The 64th term of the arithmetic sequence is 596.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
common difference = 2
The first term = 2.
We have,
29, 38, 47,.....
First term = 29
a(1) = 29
Common difference:
= 38 - 29
= 9
Now,
The nth term of an arithmetic series is given as:
a(n) = a(1) + (n - 1)d
The value of the 64th term in the arithmetic sequence.
a(64) = a(1) + (64 - ) x 9
a(64) = 29 + 63 x 9
a(64) = 29 + 567
a(64) = 596
Thus,
The 64th term of the arithmetic sequence is 596.
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f(n) = -11 + 22(n = 1)
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n - 1)+
Answers
Answer:
[tex]f(n)=f(n-1)+22[/tex].
Step-by-step explanation:
Note: In the given function it should be (n-1) instead of (n=1).
Consider the given function is
[tex]f(n)=-11+22(n-1)[/tex]
It is the explicit form of an A.P.
For [tex]n=1[/tex],
[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]
For [tex]n=2[/tex],
[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]
Common difference is
[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]
The recursive formula of an A.P. is
[tex]f(n)=f(n-1)+d[/tex]
Substitute [tex]d=22[/tex] in the above formula.
[tex]f(n)=f(n-1)+(22)[/tex]
[tex]f(n)=f(n-1)+22[/tex]
Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].
what is the rate of change between (29,9) and (33,10)?
Answers
Answer:
m= 1/4
Step-by-step explanation:
tried helping I don't know if this is the right way to do it for you
Add
(4-4i)+(3-2i)
Write as complex number in standard form
Answers
Answer: (4-4i)+(3-2i) = 7-6i
Step-by-step explanation:
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.
A scatter plot and a possible line of best fit is shown:
Is the line of best fit accurate for the data shown?
No, because the line does not touch any points
No, because the line should touch every point
Yes, because it touches the y-axis
Yes, because it passes through the center of the data points
Answers
Answer: No, because the line does not touch any points.
Step-by-step explanation:
A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.
Answer:
Yes, because it passes through the center of the data points.
Step-by-step explanation :
Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.
what is the equation of the following line? HELP ASAP
Answers
Answer:
y=5x
.-.-.-.
jhvghcfghvbkhhx
Answer:
D
Step-by-step explanation:
You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
The slope is 5
at which value(s) of x does the graph of the function f(x) have a vertical asymptote?
Answers
Answer:
E. x = 4
F. x = -2
Step-by-step explanation:
Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.
Please help me with this question please help
Answers
Step-by-step explanation:
Basically plug in all X values given on the table into the graph to get the y values. Now you have a coordinate that you can plot on the graph given.
Find the value of x.
Answers
Answer:
x = 27
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(x+48)* 48 = 60^2
(x+48)* 48 = 3600
Divide each side by 48
x+48 =75
Subtract 48 from each side
x = 75-48
x=27
given the graph function below which of the following ordered pairs are found on the inverse function
Answers
Answer:
Option A.
Step-by-step explanation:
Graph of function has been given in the figure.
Coordinates of the points lying on this graph will be
x -2 -1 0 1 2
y -10 -3 -2 -1 6
Therefore, coordinates of the points which will lie on the inverse of this function will be
x -10 -3 -2 -1 6
y -2 -1 0 1 2
Therefore, Option A. will be the answer.
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Answers
Answer:
between step 1 and 2 he left off the 5
What is the value of 1 over 2 x+3.4y when x=3 and y = 4?
Answers
Answer:
The value of the given expression is 27.1
Step-by-step explanation:
We are given an expression of two variable x and y.
We need to find the value of expression at x = 3 and y = 4
So first put x = 3 and y = 4 into expression and simplify
1/2 x 3 (3) + 3.4 x 4
➡️ 1/2 x 27 + 13.6
➡️ 27/2 + 13.6
➡️ 13.5 + 13.6
Now, add both of the numbers together. ( as an addition problem)
Therefore, when you ad the 2 together, you get the total of 27.1
Researchers are interested in determining whether more women than men prefer the beach to the mountains. In a random sample of 200 women, 45% prefer the beach, whereas in a random sample of 300 men, 52% prefer the beach. What is the 99% confidence interval estimate for the difference between the percentages of women and men who prefer the beach over the mountains?
Answers
Answer:
The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%
Step-by-step explanation:
The given parameters are;
Sample size of the women sample, n₁ = 200
Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45
Sample size of the men sample n₂ = 300
Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52
Confidence level of the confidence interval = 99%
α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005
The equation for the confidence interval for the difference between two proportions is given as follows;
[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]
[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables
Plugging in the vales, we have;
[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]
Which gives;
-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472
The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.
Find the value of sinY
Answers
Answer:
[tex] \frac{63}{65} [/tex]
Step-by-step explanation:
Please see the attached picture.
Let's find the value of the opposite side, XZ.
Applying Pythagoras' Theorem,
(XZ)² +(XY)²= (ZY)²
(XZ)² +16²= 65²
(XZ)²= 4225 -256 (bring constant to 1 side)
(XZ)²= 3969 (simplify)
Square root both sides,
XZ= [tex] \sqrt{3969} [/tex]
XZ= 63 (simplify)
sinY
= XZ/ ZY
[tex] = \frac{63}{65} [/tex]
Answer:
63/65
Step-by-step explanation:
John wants to send a letter to Peter, who lives on Tesla
Street. John doesn't remember the house number.
However, he knows that it has 4 digits, it is a multiple of 5
and 7 and that the last digit is 0. What is the minimum number
of letters that John has to send to be sure that Peter receives his letter?
Answers
Answer:
The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters
Step-by-step explanation:
The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows
Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5
We have the four digit numbers from 1000 to 9999
Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940
Which gives 142 - 15 = 127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0
Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.
The minimum number of letters that John will have to send to ensure Peter receives his letter is : 127 letters
Applying the given information;
size of house number = Four digits which is a multiple of 5 and 7
House number ends with 0
given that the last number has a 0 digit the house number is divisible by 5 because it is divisible by 10
The Four digit house number will fall between : 1000 to 9999
Determine the total numbers that are divisible by 7 and 10( 1000 / 70 ) = [tex](14 + 2/7) - 2/7)*70 + 70 = 1050[/tex]
( 9999 / 70 ) = [tex]( 142 + 59/70)- 59/70)*70= 9940[/tex]
∴ The minimum number of letters of a four digit number that is a multiple of 5 and 7 and whose last digit = 0 will be
142 - ( 14 + 1 ) = 127 letters
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What is the equation for the blue line?
Answers
Answer:
f(x) = -1/2x + 2
Step-by-step explanation:
f(x) = ax + b
x = 0 , y = 2
y = 0 , x = 4
[tex]a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}[/tex]
[tex]0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2[/tex]
f(x) = -1/2x + 2
Then to find the actual slope, firstly the line is going in a negative way so the slope is negative. You then do rise over run and you get -1/2
The slope is y=-1/2 +2
Hope this helps!!!!
If Jodi eats 2 chocolates she will consume 72 calories how many calories will she consume if she eats 5 chocolates
Answers
Answer:
x = 180
Step-by-step explanation:
We can use ratios to solve
2 chocolates 5 chocolates
--------------------- = ------------------
72 calories x calories
Using cross products
2 *x = 5*72
2x = 360
Divide each side by 2
2x/2 = 360/2
x = 180
Set up a ratio 2/72 = 5/x.
Now use cross-products.
(2)(x) = (5)(72).
2x = 360.
Now divide both sides by 2.
This gives us x = 180.
So, Jodi consumes 180 chocolates when she eats 5 chocolates.
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
Answers
Answer:
subtract 2x on both sides
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
Move The Terms:
8x -2x =3 = -15
Collect like terms and calculate:
6x = -15-3
Divide both sides of the equation by 6:
x = -3
Final answer:
x= -3
Hope this helped have a good day
Starting with $5,000, you invest in an account that pays 2% APR, compounded quarterly, and plan to leave the money there and not touch it for at least 12 years. How much MORE money would you have after 12 years if the interest had been compounded continuously instead? Round to the nearest cent.
Answers
Answer:
$1,352.5
Step-by-step explanation:
A=p(1+r/n)^nt
Where,
P=principal
r=interest rate
n=no of periods
t=time
P=$5,000
r=2%
n=4
t=12
A=5000(1+0.02/4)^4*12
=5000(1+0.005)^48
=5000(1.005)^48
=5000(1.2705)
=$6,352.5
How much more money after 12 years
=$6,352.5-$5000
=$1,352.5
If you put $6.24 into a savings account that earns 5%, how much interest will you receive at the end of four years
Answers
Answer:
$1.24
Step-by-step explanation:
5% of 6.24 x 4 .If you're rounding then it's $1.25 (but also who's letting someone open an account with 6 dollars)
(edit:forgot the explaination)
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Answers
Answer:
-(x+7)/6
Step-by-step explanation:
y = -6x-7
Exchange x and y
x= - 6y-7
Solve for y
Add 7 to each side
x+7 = -6y-7+7
x+7 = -6y
Divide by -6
(x+7) / -6 = -6y/-6
(x+7)/ -6 = y
The inverse is -(x+7)/6
What is the distance between (8, -3) and (4, -7)?
Answers
The answer is √32 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
car is moving at 75 kilometers per hour what is its speed in metres per minutes?
Answers
Answer:
75 km / h = 1250 m / m;
Solution ⇒ 1250 meters / minute
Step-by-step explanation:
Take a look at the explanation below;
[tex]75 km / hour - m / minute,\\75 km = 75 * 1000 meters = 75000 meters,\\\\1 hour = 60 minutes,\\75 kilometers / hour = 75000 meters / 60 minutes,\\\\75000 meters / 60 minutes = 1250 meters / minute\\[/tex]
Conclusion; 1250 meters / minute
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Answers
Answer: first one is A, Second is c
Step-by-step explanation:
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Answers
Answer:
$12,000,000
Step-by-step explanation:
The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.
A recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes. Which is the weight of the ingredients in the stew in pounds?
Answers
Answer:
7.125pounds
Step-by-step explanation:
if a recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes, in order to get the weight of the ingredients in the stew in pounds, we will convert all the units to pounds first and then add them together.
On conversion;
since 1 ounce = 0.0625pounds
Weight of beans in pounds = 22 * 0.0625 = 1.375pounds
Weight of meats = 2 1/2 pounds
Weight of carrots in pounds = 14*0.0625 = 0.875pounds
Weight of potatoes in pounds = 2+(6*0.0625) = 2+0.375 = 2.375pounds
weight of the ingredients in the stew in pounds = 1.375+2.5+0.875+2.375
weight of the ingredients in the stew in pounds = 7.125pounds
The volume of each figure. Round answer to the nearest hundredth if necessary
Answers
Answer:
12
Step-by-step explanation:
Can anyone help please?
Answers
Answer:
the LCM for 5 and 6 is 30
the LCM for 4 and 8 is 8