Shona has to draw the line with equation y = 3x + 2. Here is her line. Explain why Shona's line cannot be correct.
Answers
Answer:
Step-by-step explanation:
The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.
If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.
So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.
Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
What does the equation of a line imply?The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).
How do we solve the given question?We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.
We are asked to give the reason why the line on the plane is not the representation of the given equation.
The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.
The line on the plane has a positive slope, so m = 3 can be its slope.
But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.
(Value of y is positive above the origin and negative below the origin)
(Value of x is positive to the right of the origin and negative to the left of the origin)
∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
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Related Questions
Every six customer at flower shop receives a free rose in every ninth customer see is a free lily what customer will be the first to receive a free rose and a lily
Answers
Answer:
18th customer
Step-by-step explanation:
The computation is shown below
Here we have to write the multiples of 6 and multiples of 9 that are presented below:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
So based on the above multiples of 6 and 9, 18th customer would first to receive a free rose and a lily
Answer: 18th customer. Hope this helps!
what is 75 in standard notation?
Answers
Answer:
I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.
Step-by-step explanation:
hope this helps
A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on the animals. How many cows and how many chickens does the farmer have?
Answers
Answer:
13 chickens and 21 cows
Step-by-step explanation:
Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your
answer to the nearest tenth if necessary.
E
H
32
C
D
17.7
F
G
58
Answers
Answer:
104.9 units
Step-by-step explanation:
using the polygon similarity postulate (PSP), 32/x=17.7/58
32/x=17.7/58
58*32=17.7x
1856=17.7x
x=104.858757062
round answer to the nearest tenth
x=104.9 units
I am confused on this, I would LOVEE some help please!
Answers
Answer:
2nd and 5th one are correct. Rest of them r wrong
Step-by-step explanation:
10.
Solve the inequality.
–8 ≤ 2x – 4 < 4
A. –2 ≤ x < 4
B. –6 ≤ x < –2
C. –2 ≤ x < 0
D. 0 ≤ x < 6
Answers
Answer:
The Answer is A
Step-by-step explanation:
-8 < 2x-4<4
2x-4<4
-8+4< (2x-4)+4
(2x-4)+4 <4+4
In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.
2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.
For example,
- term -4 , will be moved to the left side.
Notice that a term changes sign when it 'moves' from one side of the inequality to the other.
The result is:
A
Answer: A
Step-by-step explanation:
-8 < 2x-4<4
2x-4<4
-8+4< (2x-4)+4
(2x-4)+4 <4+4
In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.
2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.
For example,
- term -4 , will be moved to the left side.
Notice that a term changes sign when it 'moves' from one side of the inequality to the other.
The result is:
A
Number 9 please help 10 points no links pleAse
Answers
Answer:
Step-by-step explanation:
The answer is option D
Answer:
D
Step-by-step explanation:
There is 5 leaves measured as 12 cm long and 3 leaves measured as 15 cm long
5 - 3 = 2
9. Which of the following is the interquartile range of the data set shown below?
(1) 5.5
(2) 7
(3) 10.5
(4) 21
19, 22, 25, 28, 28, 32, 32, 32, 34, 40
Answers
Answer:
21
Step-by-step explanation:
I need help finding the answer!
Answers
Answer: x=4
Step-by-step explanation:
Since this is a rectangle we already know that all the angles are 90, so we can do this:
46+10x+4=90
50+10x=90
10x=40
x=4
GUYS I'M FAILING AND IM GONNA GET IN SO MUCH TROUBLE how sobi convince a teacher to let me do my old assignments that are locked
Answers
Answer:
just be like im really trying to work on getting my grades up i fell off a little bit bc of some stuff at home and im busy sometimes but im serious about my work and it would mean the world to me if you could let me redo some assignents that i failed or that are locked i want my parents to be proud of me for once, thanks (they name)
Step-by-step explanation:
A bicycle store costs $2800 per month to operate. The store pays an average of $50 per bike. The average selling price of each bicycle is $90. How many bicycles
must the store sell each month to break even?
The store must sell bicycles each month to break even.
(Type a whole number.)
Answers
Answer:
70 Bikes
Step-by-step explanation:
[using b as a variable for bikes]
2800=-50b+90b
[2800 is total cost of store with-50 being cost per bike and 90 being selling point of bike]
2800=40b [simplified by combining -50 with 90]
70=b [divided 2800 by 40 to get the break even for the store]
What do the graphs of these two functions have
in common?
(picture included)
Answers
Function A: y=1/3x+1
Function B:y=1x+3
•A is correct because if you drew the linear line for function A, it would intercept with B on point (1,4) which is also a point for function B.
•B is incorrect because y-intercept in A=1 and B=3, that’s not in common
•C is incorrect because the slope in A=1/3 and B=1, that’s not in common
•D is incorrect because because x-intercept for A=-3 and for B= less than 1
Estimate the total shaded area below, list all that are correct: A. 14/28 B. 2 1/10 C. 2 100/200 D. 5/2
Answers
Answer:
it is 2 1/10 i took the test from K12
Step-by-step explanation:
Help pls
Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally
priced at $50 but discounted 60%. If sales tax in Kensington is 15%, what was the total cost?
Answers
= 30
$50-$30=$20
20x(15/100)
= $3
$20+$3 = $23
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The total cost of the pair of headphones is $23.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/200 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
105 = 10/100 = 1/10
We have,
Original price of the headphones = $50
60% of $50
= 60/100 x 50
= $30
The price of the headphones after the discount.
= $50 - $20
= $20
The amount of sales tax.
= 15% of $20
= 15/100 x 20
= $3
The total cost.
= $20 + $3
= $23
Thus,
The total cost of the pair of headphones is $23.
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Anchor: If you start with 50 g of a material, how much is half of that? How much is half of half? How much is half of that?
Answers
Answer:
Step-by-step explanation:
1/2 of 50 grams is the same thing as 50 divided by 2 which is 25
Now you take 1/2 of 25 grams. That's 25 divided by 2. Use your calculator if you're not sure 25 divided by 2 = 12 and 1/2 or 12.5
I think we're down to 1/2 of 12.5
1/2 of 12.5 is 6 and then 0.5/2 which is 0.25
So 1/2 of 12.5 is 6.25
If I left one out, leave a comment.
Just in case 1/2 of 6.25 = 6/2 = 3
1/2 of 0.25 = 0.25/2 = 0.125
so the answer here is 3.125
If I've misunderstood the question, leave a note for that too.
At a carnival in a small town, the entry fee was $8 per person, and the cost for each ride ticket was $2. The inequality below was used to determine if the town met its goal of earning more than $1,650 each day the carnival was open. 8p + 2r > 1,650 The following variables were used: p = the number of people who attended the carnival r = the number of ride tickets sold• On Friday, 150 people attended the carnival. A total of 275 ride tickets were sold. • On Saturday, 110 people attended the carnival. A total of 340 ride tickets were sold. • On Sunday, 130 people attended the carnival. A total of 305 ride tickets were sold.For each day the carnival was open, state whether or not the town met its goal. Show all the steps you took to find your answers using the provided inequality. Respond in the space provided.
Answers
Answer:
$1000
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤
What is -4.4+(-4.32)
Answers
Answer:
-8.72
Step-by-step explanation:
Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?
**Simplify ALL of the way and round to the NEAREST whole number**
Answers
Answer:
$295,750
Step-by-step explanation:
Given
Tommy's salary increases by 4% each year.
Increase to 4%
1 year = $42,250
7 years = $?
To find
So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.
Set up.
1/42250 x 7/x =
295,750
Therefore, Tommy's salary be in $295,750 7 years.
3. Find the missing side length. 15 in 8 in
Answers
Answer:
c=17
Step-by-step explanation:
Pythagorean theorem helps you find out the length of a missing leg or hypotenuse of a right triangle.
c=[tex]\sqrt{a^2+b^2}[/tex]
c=[tex]\sqrt{8^2+15^2}[/tex]
c=17
helppp ME PLEASEEEEE :))))!!!
Answers
Answer:
0.0567 x 10^4 < 2.3069 x 10^3 < 0.04069 x 10^5
Step-by-step explanation:
2.3069 x 10^5
4.069 x 10^5
0.567 x 10^5
A circular spinner is dividing into 9 equal parts numbered 1-9. What is the probability of spinning a
number less than 8 or a divisor of 15?
Answers
Answer:
7/9
Step-by-step explanation:
Answer:
7/9
Step-by-step explanation:
It I correct !!
What is the factorization of the trinomial below?
3x^3 + 6x^2- 24x
Answers
Answer:
D
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkk
I BEG SOMEONE TO JUST PLS HELP :( and if u wanna answer more questions related ill give u like 100 pts at the end i need this
Answers
Answer:
Step-by-step explanation:
this question is not worth 5 pts and you are a scam so get scamed
Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
Answers
Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
what is the surface area of the triangular prism shown
Answers
Need the answer real quick
Answers
Answer:
1. x+y=20,000
2. 105x+75y=$1,740,000
Step-by-step explanation:
let x be the stage level seats and y be the higher level seats.
Timia needs so cash in a hurry she owns her car outright and is considering a title loan. The lender told timia she could borrow 1750 for 1 month
Answers
The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.
I would assume that the fee which Timia would pay as interest on the 1 - month loan is x
Answer:
r = x / 145.83333
Step-by-step explanation:
If interest paid, I = x
Principal, P = $1750
And period (time) of loan = 1 month = (1/12) = 0.0833333
Rate = r
Using the simple interest formula :
Interest = Principal * rate * time
x = 1750 * r * 0.833333
Make r the subject :
x = 145.83333r
Divide both sides by 145.83333
Hence, the rate value , r becomes :
r = x / 145.83333
Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .
Write the equation of the line in fully simplified slope-intercept form.
11
10
8
7
6
5
4
-12-11-10-9-8-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
4
-9
-10
-11
-12
Answers
Answer:
x intercept [a]=3
y intercept [b]=-5
we have
equation of a line is:
x/a+y/b=1
x/3+y/-5=1
(5x-3y)=15
5x-3y-15=0 is a required equation
Zoom In to see I need help
Answers
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
which choice is equivalent to the expression below? (-2)^-3
A) 1/6
B) 8
C) -1/8
D) 6
Answers
Step by step exploration
(-2)^-3=1/(-2)^3=1/(-8)=-1/8
Answer:
C
Step-by-step explanation:
I used a calculator I honestly couldn't figure out the math behind that
