Answers
Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
Related Questions
Determine which lines, if any, are parallel or perpendicular. Explain
Line a: 2x-7y=14
Line b: y=7/2x-8
Line c: 2x+7y=21
Answers
Answer:
line b and c are perpendicular because the product of their slope is -1
Step-by-step explanation:
For two lines to be parallel they must have the same slope
For two line to be perpendicular, the product of their slope must be -1
Line a: 2x-7y=14
Rewrite in the form y = mx+c
-7y = -2x + 14
y = -2/-7 x + 14/-2
y = 2/7x - 7
The slope of line a is 2/7
Line b: y=7/2x-8
This is already in standard format
mx = 7/2 x
m = 7/2
The slope of line b is 7/2
Line c: 2x+7y=21
Rewrite in standard form
7y = -2x + 21
y = -2/7 x + 21/7
y = -2/7 x + 3
The slope of line c is -2/7
Take the product of line b and c
mb * mc = 7/2 * -2/7
mb * mc = -1
Hence line b and c are perpendicular because the product of their slope is -1
A weather station on the top of a mountain reports that the temperature is currently 14°C and has been falling at a constant rate of 9°C per hour. If it continues to fall at this rate, find each indicated temperature. What will the temperature be in 2 hours? What will the temperature be in 5 hours? What will the temperature be in half an hour?
Answers
Answer: 2 hours=6 degrees C
5 hours=-31 degrees C
Half an hour=9.5 degrees C
I hope this helps. Sorry if I made a mistake. Good luck!
Step-by-step explanation:
9 x 2 hours = 18 C 14-8= 6 degrees C
9 x 5 hours = 45 C 14-45= -31 degrees C
9 x 0.5 = 4.5 C 14-4.5= 9.5 degrees C
Find the value of y. *
40
80
140
Answers
100+2y = 180
2y=180-100
2y=80
y=40
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answers
Answer:
B
Step-by-step explanation:
The governor's approval rating dropped by 40% to 18%. What was his approval rating before?
Answers
Answer:
58%
Step-by-step explanation:
58 cuz 40+18=58
Which one of the following fractions is the greatest?
A. 1/2
B. 2/3
C. 3/4
D. 5/12
Answers
Answer:
[tex]c. \: \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} = 0.5 \\ \frac{2}{3} = 0.667 \\ \frac{3}{4} = 0.75 \\ \frac{5}{12} = 0.417[/tex]
A boat travels 187 miles in 10
hours (with a constant speed).
How far can it travel in 14 hours
(with the same speed)?
Answers
Answer:
grufhvdyfvgysgddgfvsygujsbchusb
Step-by-step explanation:
Find 3 ratios that are equivalent to the given ratio. 7:13
Answers
PLS HELP!!
I’LL MARK BRAINLIEST!!!
Answers
Answer:
ML
Step-by-step explanation:
If you need explanation, please tell me in comments.
If this has helped you, please mark this as brainliest
Answer: ML
Step-by-step explanation:
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answers
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978
Find the magnitude of the vector from the origin to (-7, -5) and write the vector as the sum of unit vectors.
Answers
Answer:
b. 75,71 +57
Step-by-step explanation:
edge
Answer:
B on edg2021
Step-by-step explanation:
just took the test
I need help please?
Answers
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
6
6. Which statement below is represented by the correct ratio? Choose all that apply.
A "For every 7 cars I see in the parking lot, there are 4 buses.* The ratio of cars to buses is written as
B. For every 2 cups of four, I add 4 cups of sugar. The ratio of four to sugar is written as 12.
c. There are 4 monkeys at the sea for every 1 tiger." The ratio of monkeys her tigers is written as 4:1
D. have 4 red beads for every 6 green beats on my bracelet. The ratio of red beads to green beads
Answers
Help Me Please.................
Answers
To get this, you first add 7 to each side making the equation -4.818 = x/3.3
Then, you would need to multiply each side by 3.3 to get x by itself.
Your answer would be -15.8994.
Answer:
[tex]x=-15.8994[/tex]
Step-by-step explanation:
Skills needed: Solving one variable equations, Multiplication
1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"
2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.
In this case, the term involving "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex] In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]
[tex]-11.818+7=-4.818[/tex]
-7 and 7 on the right side cancel out.
4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]
To get "[tex]x[/tex]", you need to multiply both sides by 3.3If you do this, the denominator will get cancelled out, leaving us with "[tex]x[/tex]" equaling a value.5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)
[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]
Hope this helps and have a nice day!! :] :) :D
Match the tangent and sine angles to their expressions.
Answers
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
PLEASE HELP ASAP!!!! I CAN GIVE BRINLIEST!!!!A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week. (2 points)
A) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
B) No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
C) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
D) Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
pretty sure its c if not than d
Step-by-step explanation:
Simplify the following expression:
6b + 3ab + 4b + 3
O 2b
O 10b + 3ab + 3
O 13b + 3
06b + 3ab + 4b + 3
Answers
Answer:
6b+4b first because you have to combine like terms so 10b and the others aren't like terms so you just plug them in so 10b+3ab+3
m(x)=x(x+6)
p(x)=x(x+3)²-9
Show that m(x) and p(x) are equivalent
Answers
Answer:
m=x+6
Step-by-step explanation:
Let's solve for m.
mx=x(x+6)
Step 1: Divide both sides by x.
2x/x= x²+6x/x
m=x+6
Hope this helps :)
PLS BRAINLIEST
Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.
Can anyone help with 1 and 2?
Answers
Answers are
1.
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
2.
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Adjacent and vertical angles:
Adjacent angles: Two angles with a common arm and vertex are called adjacent angles.
They share a common arm and common vertex.
Adjacent angles are not always equal in measure
Vertical angles: When two lines intersect each other, then the pair of opposite angles formed at the vertex are called vertical angles.
They share a common vertex, but no common arm.
Vertically opposite angles are equal in measure.
(Here)
For question - 1,
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
For question - 2,
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Learn more about Adjacent angles and vertical angles here:
https://brainly.com/question/12838185?referrer=searchResults
#SPJ2
Quizizz 10 pts each help please WITH PIC brainiest guaranteed
Answers
Answer:
2.[tex]-2m^4-6m^2+4m+9[/tex]
3.[tex]-2m^4-6m^2-4m+9[/tex]
Step-by-step explanation:
In general we can write a polynomial in standard form as
[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]
Given [tex]4m-2m^4-6m^2-4m+9[/tex]
Combine the like terms: 4m and -4m
4m-4m=0
We have 4m-4m=0
So, write the remaining terms
[tex]-2m^4-6m^2+9+0[/tex]
= [tex]-2m^4-6m^2+9[/tex]
This is in decreasing order of powers.
Hence the answer is the standard form is
[tex]-2m^3-6m^2+9[/tex]
But in the given options, you can choose option 2 and option 3 are in standard form.
Because they are in decreasing order of powers.
In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.
-2m^4-6m^2+4m+9
-2m^4-6m^2-4m+9
I hope this helps you.
And please comment if I need to do corrections.
Please let me know if you have any questions.
Describe each statement as always, never, or sometimes true.
Answers
Each student is on 1 team. Race Details The field is 40 feet wide. • Each runner gets 1 lane. •Mrs. Achilles has 7 trophies. Use the Race Details list to answer the following question. 1. Each lane must be an equal width. Mrs. Achilles wants to use the entire width of the field for lanes. How wide will each lane be if Mrs. Achilles sets out 10 lanes? 5 lanes? Use multiplication facts to help you.
Answers
Answer:
LOL
Step-by-step explanation:
Okay so your going to multiple tye 2 number okay then your going to do all numbers
Use a phone so u can multiple
2 (4y + 3 + y) hellppp
Answers
Answer:
10y + 6 hope this helps :)
Step-by-step explanation:
Jullan and two of his friends are going to share 1/4
of a pizza. How much will each person get?
1/6
of the pizza
1/7
of the pizza
1/8
of the pizza
1/12
of the pizza
Answers
Answer:
1/12 of the pizza
Step-by-step explanation:
1/4 divided by 3 equals 1/12
Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assume the relationship is directly proportional.
Answers
Answer: 14 presents
Step-by-step explanation:
5 presents 42 cm tape
——————I-———————.
15 cm tape 1
= (5x42) /15 = 14 presents
Question 4
(05.05)What is the rate of change for the linear relationship modeled in the table
Answers
Answer:
-1/2
Step-by-step explanation:
(10 + 2)² + (6 -14÷7) =
Answers
Answer:
148
Step-by-step explanation:
12 x 12 + (6-2)
144 + 4 = 148
Hope that helps!
12² + 2 = 144 + 4 = 148
Answer = 148
According to the priority of the process, first we do inside the brackets and then we get the exponent.
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXDetermine how Marilyn’s net pay will be affected if she increases her federal withholding allowances from 3 to 4.
Answers
What is the whole question?
Mean and standard deviation of sample proportions
Suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly. What are the mean and standard deviation of the sampling distribution of p?
Answers
Answer: D
Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.
Step-by-step explanation: Khan Academy Explanation
The mean and standard deviation is given by -
μ = 0.35 and σ = 0.09.
What is mean, median and mode in statistics?Mean : The "average" number; found by adding all data points and dividing by the number of data points.Median : The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).Mode : The most frequent number—that is, the number that occurs the highest number of times.Given is that suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let {p} represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.
The standard deviation is given by → [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]where -
{σ} = population standard deviation
{N} = the size of the population
x{i} = each value from the population
{μ} = the population mean
The mean and standard deviation is given by -
μ = 0.35
σ = √(0.35)(0.65)/(30) = 0.48/5.5 = 0.09
σ = 0.09
Therefore, the mean and standard deviation is given by -
μ = 0.35 and σ = 0.09
To solve more questions on statistics, visit the link below -
brainly.com/question/17421223
#SPJ5
x to the second power is 49 what is x?
Answers
Answer:
7 or -7
Step-by-step explanation:
the question is asking for x to to the second power which is x squared or x^2
so setting x^2=49
square root both sides of the equation so that x is by itself and the other side is just ±√(49). which ±√49 is just 7 or -7
Hope that helps :)
Please gve brainliest