Answer: y=2x+14
Step:
substitute into y=mx+b
m= slope
b = y-int.
Create a two column proof of each problem. Please help!!
Step-by-step explanation:
In this way it is proved
If f(x) = 5x, what is y(x)?
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
Simplify the expression below and show each step. Justify the order of your steps in a brief explanation. 5-6x8diviededby8+3
Answer:
2
Step-by-step explanation:
First we have to figure out which order to solve this equation.
Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.
Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.
Next we simplify the equation, bringing us to the answer, 2.
Once again, please tell me if you need to know how I simplified the equation.
Hope this helped :)
The volume of a cylinder is 576x cubic inches. The radius of the circular base is 4 inches. What is the height of the
cylinder?
Recall the formula V - xrn.
18 inches
24 inches
36 inches
72 inches
Raj paid $5.04 for 6 cookies. Heath paid $4.00 for 5 cookies. Which of the following statements is true?
Raj paid less per cookie.
Heath paid less per cookie.
Raj and Heath paid the same per cookie.
Answer: Raj paid less per cookie
Step-by-step explanation:
Answer:
Heath paid 4 cents less then raj did per cookie so it would be the second one.
Step-by-step explanation:
The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
6
13
14
4
3
(a) What is the lower limit of fourth-class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?
Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
Lower limit is the lowest number in a class interval .
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
Class size = Upper limit - lower limit
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
Class mark is the mid value of each class interval.
Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions
Answer:
There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.
Step-by-step explanation:
We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.
If pa² + qa + r = 0 and p > 1.
Thus, D = q² - 4pr.
If D > 0, then the equation has 2 real solutions.
If D = 0, then the equation has 1 real solution.
If D < 0, then the equation has 0 real solutions.
We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:
p = 5
q = -6
r = 10
D = q² - 4pr
D = (-6)² - 4(5)(10)
D = 36 - 200
D = -164
D < 0
Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.
I hope this helps! Sorry if my English didn't really help with having a clearer explanation.
Find the volume of the composite solid. Round your answer to the nearest tenth
Answer:
V = 1206.3 [tex]ft^{3}[/tex]
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3 [tex]ft^{3}[/tex]
6. Describe the graph of the function.
y=5 • 2*
A The graph is an absolute value function with vertex (0,5).
B The graph is of exponential growth.
C The graph is of exponential decay.
D The graph is a parabola with vertex (0,5).
the correct answer is. It is an exponential equation, that is starting at 5 and increasing by a factor of 2.
square root of x²-6x+9 if x is greater than or equal 3
Answer:
x-3
Step-by-step explanation:
x²-6x+9 is equal to (x-3)²
The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.
So the root of x²-6x+9 is x-3
For each line, determine weather the slope is positive, negative, zero, or undefined.
Answer:
Below in bold.
Step-by-step explanation:
A horizontal line has zero slope and a vertical line undefined
In order they are: Zero, undefined, negative positive
Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.
Step-by-step explanation:
Mr. Hinkcley owns 83 acres of land. He divides the land into eight equals sections to sell to eight buyers. What phrase describes how much land, in acres, each buyer will receive
A) more than 9 less than 10
B) more than 10 less than 11
C) more than 11 less than 12
D) more than 12 less than 13
Plz help ! Analyze the work used to write an equivalent equation for y. 3y = 36 – 5x 1. Divide both sides by 3: StartFraction 3 y Over 3 EndFraction = StartFraction 36 over 3 EndFraction minus 5 x. y = 12 minus 5 x. What can you conclude about the work? The work was completed correctly. Both sides needed to be multiplied by 3, rather than divided by 3. When dividing 36 by 3, the answer should have been 1/12, not 12. Both terms on the right side need to be divided by 3, not just the 36.
Answer:
its d
Step-by-step explanation:
i got it right on edge
Answer:
D) Both terms on the right side need to be divided by 3, not just the 36.
Step-by-step explanation:
got it right on edge2020
How do you convert a decimal into a mixed number 10.5
Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]
If Takeshi adds his weight to 250 pounds, he gets 403 pounds. How much does Takeshi weigh?
Answer:
153 pounds
Step-by-step explanation:
Just subtract 250 from 403
Answer:
takeshi weights 153 pounds
Step-by-step explanation:
403 - 250
Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8
Answer:
B
Step-by-step explanation:
since the strongest correlation is either 1 or negative 1, and weakest is closer to 0,
now, lets order from weakest to strongest:
-0.52,0.65, 0.8, -0.87
Since -0.87 is closest to negative one than others to -1 or 1, it has the strongest linear relationship
Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW
Answer:
B
Step-by-step explanation:
-4<= 2t <2
-4/2<= t <2/2
-2<= t <1
(Its touches -2 but doesnt touch 1)
Answer:
Firstly you have to divide by 2 to get 't' so -4/2=-2
2/2=1
so the simplified inequality= -2<t<1
< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line
Jim rents an apartment in New York City for $1600 a month. Mike rents his apartment in Boston for 7/8 as much. How much more does it cost Jim than it does Michael for rent?
Answer:
Jim pays 200 more dollars per month than Mike.
Step-by-step explanation:
Jim--> $1600/month
Mike--> 7/8(Jim's rent)
7/8(Jim's rent)
7/8(1600)
= $1400
1600-1400= 200
Jim pays 200 more dollars per month than Mike.
I hope that makes sense!
help plz I'm desperate
Anna:
1st month = 18 + [tex]\frac{3}{4}[/tex] = 18[tex]\frac{3}{4}[/tex] inches
2nd month = 18[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 19[tex]\frac{1}{2}[/tex]
3rd month = 19[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 20[tex]\frac{1}{4}[/tex]
4th month = 20[tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 21
5th month = 21 + [tex]\frac{3}{4}[/tex] = 21[tex]\frac{3}{4}[/tex]
Grace:
Because Anna is [tex]\frac{9}{4}[/tex] inches shorter than Grace, we can start the count from the third month:
1st month = 20[tex]\frac{1}{4}[/tex]
2nd month = 21
3rd month = 21[tex]\frac{3}{4}[/tex]
4th month = 21[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 22[tex]\frac{1}{2}[/tex]
5th month = 22[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 23
What is the solution to the system of linear equations?
{2x + 4y = 20
{3x + 2y = 26
Enter your answer in the boxes.
Answer:
x = 8, y = 1.
Step-by-step explanation:
2x + 4y = 20
3x + 2y = 26 Multiply this equation by -2:
-6x - 4y = -52 Add this to the first equation:
-4x = -32
x = -32/-4
x = 8.
Plug x = 8 into the first equation:
2(8) + 4y = 20
4y = 20 - 16 = 4
y = 1.
Is (1, 4) a solution to the equation y = 7x?
Answer:
not a solution
Step-by-step explanation:
Substitute the point into the equation and see if it is true
y = 7x
4 = 7*1
4 = 7
This is not true so it is not a solution
If a patient needs a 30-day supply of tablets four times a day, how many tablets will the patient need for discharge?
This question is incomplete
Complete Question
If a patient needs a 30-day supply of tablets and takes two tablets four times a day, how many tablets will the patient need for discharge?
Answer:
240 tablets
Step-by-step explanation:
From the question we are told the patient needs a 30 days supply of drugs.
This means the patient will be discharged after 30 days
We are told the patient takes 2 tablets , four times a day
This means
One day = 2 tablets × 4 = 8 tablets
Hence, if:
1 day = 8 tablets
30 days = unknown so we represent by Y
We cross multiply
1 × Y = 8tablets × 30days
Y = 240 tablets
Therefore, the patient would need 240 tablets for discharge.
Jane works 3 times as fast as Eleanor. If they work together they can do a job in 21 minutes. How long does it take Eleanor to do the job by herself?
Answer:
1 hour and 24 min
Step-by-step explanation:
Jane does 3/4 job done in 21 min
Eleanor does 1/4 job done in 21 min
21*4=84
60+24
1 hour and 24 min
The work rate when they work together is much higher than when Eleanor
does the job herself.
It will take 84 minutesReasons:
Jane's work rate = 3 × Eleanor's work rate
The time it takes both Jane and Eleanor to do a job = 21 minutes
Required:
The time it would take Eleanor to do the job herself.
Solution:
Let x represent the portion of the job performed by Eleanor in the 21
minutes, we have;
The portion performed by Jane = 3 × x
Therefore;
The job done when they work together for 21 minutes = x + 3·x = 4·x
The time it takes Eleanor to do the job portion, x = 21 minutes
Therefore;
The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes
The time it would take Eleanor to do the job herself = 84 minutesLearn more about work word problems here:
https://brainly.com/question/1376479
https://brainly.com/question/19819390
If 153=2(z+z)n, then what’s is the value of 4nz+20
Answer: (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
The circumference of a standard centre circle on a football pitch is
57.43m. What is its radius?
Answer:
9.14 m
Step-by-step explanation:
r=C
2π=57.43
2·π≈9.14027
____________________________
Solution,
Circumference of circle=57.43m
Radius=?
Now,
Circumference of circle=2 pi r
or,57.43=2*3.14*r
or,57.43=6.28*r
or,r=57.43/6.28
r=9.14 m
It's radius is 9.14m
Hope it helps
Good luck on your assignment
___________________________
Need help with a question
Answer: -4 meters
Step-by-step explanation:
8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.
Answer:
-4
Explanation:
To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.
8 - 4
-4
Therefore, the change in depth was -4 meters.
Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
2) 620
1) 346
3) 3,420
4) 8,244
Please answer the question stated below
Use the distributive property to write the following expression without parentheses.
-6(3-m+n)
________________________________
Hey!!
Solution,
-6(3-m+n)
= -18+6m-6n
= 6m-6n-18
hope it helps....
Good luck on your assignment
______________________________
Answer:
[tex]= 6m + 6n - 18 \\ [/tex]
Step-by-step explanation:
[tex] - 6(3 - m + n) \\ = - 18 + 6m + 6n \\ = 6m + 6n - 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
