Answers
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
Given that,
Graph of the equation of the line shown in the image.
Use the formula,
The equation of a line in point-slope form passing through the points
[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Let us take two points on the graph, which are (4, 1) and (0, 2).
Here, [tex](x_1 , y_1) = (4, 1)[/tex]
And, [tex](x_2 , y_2)= (0, 2)[/tex]
So, the slope of the line is,
[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]
[tex]m = \frac{1}{- 4}[/tex]
[tex]m = \frac{-1}{4}[/tex]
Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
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Related Questions
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
Answers
How to simplify the following expressions?
1. 6x-3y+8x-(-4y-3y)
2. 1+8a/4-3+2a
Answers
Answer with Step-by-step explanation:
1. 6x-3y+8x-(-4y-3y)
14x-3y+4y+3y
14x+4y
1+8a/4-3+2a
-2+2a-2a
-2a
Round 1,597 to the nearest hundred
Answers
Explanation:
If you are rounding 1,597 to the nearest hundred you look at the next number and if it’s 5 or less it will be 1,500 and if it was 5 or greater it will be 1,600
Answer:
1600
Step-by-step explanation:
Please show step by step. I will chose Brainlyest once it lets me. 5 s and thanks too. Please answer ASAP.
Answers
20/1 x 33/4 ( 9 1/4) = 5/1 x 33/1= 216\1
=216 (?)
Hope that helped
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answers
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answers
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
Whats 4+4+(6x168) and the answer in Spanish
Answers
A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.
Answers
9514 1404 393
Answer:
the average speed is 50 10/13 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
distance = speed × time
The distance traveled in the first part of the car's journey is ...
(45 mi/h)(2/3 h) = 30 mi
The distance traveled in the second part of the car's journey is ...
(60 mi/h)(25/60 h) = 25 mi
Then the total distance is 30 mi +25 mi = 55 mi.
The total time is ...
40 min +25 min = 65 min = 65/60 h = 13/12 h
The average speed for the trip is ...
speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h
The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.
Frankie charges 30$ per week for tutoring plus a 10$ sign up fee. Complete the table to show the relationship, then graph the table of values. WILL GIVE BRAINLIEST pls no bs answers
Answers
Answer:Answer:
8
Step-by-step explanation:
10(8) + 20 = 120
15 (8) = 120
After 12 years I shall be three times as old as I was 34years ago. Determine my present age
Answers
Answer:
the 34 yrs Is wrong it will be 4yrs only.
Step-by-step explanation:
Let my present age=x years
After 12 years my age=x+12 years
4 years ago my age =x−4 years
According to the question,
x+12=3(x−4)
⇒x+12=3x−12
⇒3x−x=12+12
⇒2x=24
or x= 24/2 =12 years.
∴ my present age is 12 years.
hope this helps you.
Todd’s age (x+12) will be 3 times as old as he was 4 years ago [3(x-4)]
i.e
x+12=3(x-4)
x+12=3x-12
2x=24
X=12.
Hence Todd’s present age is 12.
Use place value and properties of operations to find the sum.
5.8
+2.3
= _
Type a whole number or a decimal
Answers
Answer:
8.1
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
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[tex]\sqrt50 + \sqrt18\\[/tex]
Answers
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)
Answers
Answer:
whats cos? i dont understand if its written in question please explain
Step-by-step explanation:
f(x)=10-9/2x
if f(x)=-53x find x
Answers
Answer:
x = -20/97
Step-by-step explanation:
f(x) = -53x is your output
so -53x = 10-9/2x
-53x - 10 = -9/2x
lets clear the fraction by multiplying each side by 2
-106x - 20 = -9x
-97x = 20
x = -20/97
When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:
Given: f(x) = 10 - (9/2)x , And: f(x) = -53x
Setting them equal to each other: 10 - (9/2)x = -53x
To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)
20 - 9x = -106x
Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:
20 - 9x + 9x = -106x + 9x
20 = -97x
Finally, to find x, divide both sides by -97: x = 20 / -97
x ≈ -0.2062 (rounded to 4 decimal places)
So, when f(x) is equal to -53x, the value of x is approximately -0.2062.
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Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Answers
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
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Find the product of 21 and
3/7
Answers
Answer:
The answer is 9
Step-by-step explanation:
[tex]21*\frac{3}{7} \\ \frac{21}{1}*\frac{3}{7} = \frac{63}{7} = 9 \\[/tex]
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x
Answers
Hello!
Answer:
One solution (8)
Step-by-step explanation:
Hope this helps!
what value of a makes the following equation true
Answers
Answer:
It's -30
Step-by-step explanation:
Combine like terms
− 8 = 2 1 0
−7 = 2 1 0
Divide both sides of the equation by the same term
− 7 = 2 1 0
-7a/-7 = 210/-7
You cancel the -7 on the left side and divide 210 by -7
and then 210/-7 is -30
Hope this helps mark me brainliest!
In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?
Answers
answer is 261
Step-by-step explanation:
add both numbers together
1.25(−3.6)
??????????????????????????
Answers
Answer:
-4.5
Step-by-step explanation:
Answer:
-4.5
Step-by-step explanation:
1. Multiply 1.25 by -3.6:
[tex]1.25 * (-3.6)[/tex] [tex]-4.5[/tex]When Sharon graduates from college, she accepts a job that pays $30,000 for the
first year with a promise of a 10% raise at the beginning of each of the next 9 years.
Samantha graduates the same year and accepts a job which pays $40,000 the first
year with a raise of $1,000 at the beginning of the next 9 years.
а
In which year will Sharon's annual salary first exceed Samantha
Answers
Answer:
year 6
Step-by-step explanation:
she will be at 48,000
the other girl will be at 46,000
The year in which the salary Sharon's first exceeds Samantha's salary if, is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Sharon's pay = $30000,
Raise percentage = 10%,
Samantha pays = $40000,
Raise by = $1000,
Calculate Sharon's pay as shown below,
Sharon's pay = 30000(1 + 0.10)⁴
Sharon's pay = 30000 × 1.77
Sharon's pay = $43923
Calculate pay of Samantha after 4 years,
The pay of Samantha = 40000 + 4 × 1000
The pay of Samantha = $44000
Thus, Sharon's annual salary first exceeds Samantha's after 4 years.
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Simplify each radical
1-4
Answers
Please let me know if this is true or false
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, The given statement is True
-2 as a decimal
Help if you can ik it’s simple I’m just very tired :)
Answers
Hope it helps!
I hope this helps! & Let me know if you have any questions!
Mark this as Brainliest if you get a chance:)
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 130 feet.
Answers
Answer:
2x + 4x = 130
x = 21.7 feet
Step-by-step explanation:
Width: x
Length: 2x
2x + 2(2x) = 130
6x = 130
x = 130/6
x = 21.7 feet
A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?
Answers
Answer:
5 full time servers and 10 part-time servers
Step-by-step explanation:
Hope this helped, please let me know if it is correct.
njsfkulrnfijrirjir help me help me help me help
Answers
Answer:
d.13/24
Step-by-step explanation:
Evaluate 3x – 6 + 5x - 1 when x =-3
Answers
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.