Answers
Answer:
Green line: y = 5x + 2
Red line: y = 3x + 3
Purple line: y = 2x + 3
Step-by-step explanation:
1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.
Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.
2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.
Now, find the slope of one of the lines in the graphs. To do so, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):
[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]
So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].
The Matching is:
Green line: y = 5x + 2Red line: y = 3x + 3Purple line: y = 2x + 3What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We know the slope- intercept form
y= mx+ b
where m is the slope.
For y= 5x+ 2 the slope is 5.
and, for y= 3x+ 3 the slope is 3.
and, for y= 2x+ 3 the slope is 2.
For Graph 1, the slope is 5/1= 5
and, For Graph 2, the slope is 6/2= 3
and, For Graph 3, the slope is 6/3 = 2
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Related Questions
Identify all the acute angles in the figure.
Answers
Acute angle is an angle under 90 degrees
Help please! I asked this question three times and my session is about to start I really need to submit it.
* can you write the answer as a text?
The question will be in the picture (13,16,17,19)
Answers
Answer: 13) 6
I dont know 16 or 17
19) 33
Step-by-step explanation:
Solve for x
This is also an octagon if it helps!
Answers
Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
Pls help no links pls pls pls
Answers
Answer:
x=20
it told me the answer is too short but that answer is right
According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.
Answers
Answer:
C. [tex] Cos(28) = \frac{15}{17} [/tex]
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values
[tex] Cos(28) = \frac{15}{17} [/tex]
are 12(x-12) and 12x-24 equivalent
also
are 7+3(5d-2) and 13 + 15d equivalent
Answers
Answer:
1. Yes they are
2. No they are not
hope this helps :)
Step-by-step explanation:
help with math please it means the world to me!!
Answers
Answer:
10 units^2
Step-by-step explanation:
what is the solution to the system of equations?
3x - 6y = -12
2x - 4y = -16
please help!!
Answers
x
x in
3
x
−
6
y
=
−
12
3x−6y=−12.
x
=
2
y
−
4
x=2y−4
2 Substitute
x
=
2
y
−
4
x=2y−4 into
2
x
−
4
y
=
−
16
2x−4y=−16.
−
8
=
−
16
−8=−16
3 Since
−
8
=
−
16
−8=−16 is not true, this is an inconsistent system.
No Solution
please answer this correctly without making mistakes.I want ace,experts and genius people to answer this correctly without making mistakes
add q and 5, add 2 to the result, then add what you have to 4
Answers
Answer:
q+11
Step-by-step explanation:
you have q and you add 5
q+5
they want you to now add 2
q+5 +2
5+2=7
q+7
now add 4
q+7+4
7+4=11
the final answer is q+11
WORTH 35 POINTS!!! Annie’s dad travels for business. On Monday, he drives for 4 hr. at a constant rate of 55 mph to meet with a customer. On Tuesday, he drives 3 hr. at a constant rate of 50 mph to meet with his district sales manager. On Wednesday, he drives 2 hr. at a constant rate of 60 mph to pick up supplies at the warehouse. How many miles does Annie’s dad drive total before he heads for home?
A. 120 mi.
B. 150 mi.
C. 220 mi.
D. 490 mi.
Answers
Answer:
220mi
Step-by-step explanation:
Annie's dad drove a total of 490 miles before heading home. The correct option is D.
What is the distance?Distance is defined as the product of speed and time.
We can use the formula distance = rate x time to calculate the distance for each day.
On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:
distance = 55 mph x 4 hours = 220 miles
On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:
distance = 50 mph x 3 hours = 150 miles
On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:
distance = 60 mph x 2 hours = 120 miles
To find the total distance, we can add up the distances for each day:
220 miles + 150 miles + 120 miles = 490 miles
Therefore, Annie's dad drove a total of 490 miles before heading home.
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Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
Answers
Answer:
answer is c hope this helps
Step-by-step explanation:
Which number line represents the solution of 5X < 30
Answers
Answer:
Step-by-step explanation:
Answer:
BRO, where are the number lines, can't help you if you dont put the number lines
What is 1/5 x 2 multiplying fractions with whole numbers
Answers
Answer: 0.4
Have a nice day!
Answer:
0.4 or 2/5
Step-by-step explanation:
You can solve this question by doing [tex]\frac{1}{5}[/tex] x [tex]\frac{2}{1}[/tex] to get the answer of [tex]\frac{2}{5}[/tex] or 0.4.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
Step-by-step explanation:
(h+2)+9
b-(6-4)
−4.5=−0.5(x−7.1)
solve for x and teach me how to give brainliest
Answers
-4.5 = -0.5x + 3.55
-3.55 -3.55
——————————
-8.05 = -0.5x
———————
-0.5
X = 16.1
What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
Answers
4(sqrt.49 -2^2)
4(7 - 4)
4 x 3 =12
How many negative real zeros does f(x) = x^5 - 2x^4 - 4x^3 + 4x2 – 5x + 6 have?
A. 3
B. 2
C. 1
D. 0
Answers
x^4 − 3x^2 − 90 x= -3
Answers
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36I got 30 will someone double check me please.
Answers
Answer:
yeah its 30
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Sam opened a saving account with a deposit and then started saving the same amount each
month. After 3 months Sam had $325 in he account. After 7 months she had $625 in her
account. Write an equation for this situation.
Answers
Plz show work thanks
Answers
Answer:
1/sec x- tan x
Step-by-step explanation:
sec x+ tan x
= sec x+ tan x) (sec x - tan x)/(sec x , tan x)
=sec^2x-tan^2x)(sec x- tan x)
(sec^2x-tan^2x=1)
=1/sec x- tan x
sarah has 3 dozen eggs. she sold 3/4 of her eggs, how many eggs did she sell?
Answers
Answer:
27
Step-by-step explanation:
Can someone provide some assistance.
Answers
Answer:
m<E=120°
m<T=60°
Step-by-step explanation:
10m+4m+12=180
14m=168
m=12
m<E=10m=10(12)=120
m<T=4m+12=4(12)+12=48+12=60
Answer:
Solution given:
10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]
14m=180-12
m=168/14=12
m<E=10×12=120°
m<T=4×12+12=60°
7 ft equals blank inches
Answers
Answer:
it is 84 inches all together
Answer:
84 inches
Step-by-step explanation:
have a good day
may i please get a branlillest
I don’t know what to do
Answers
Answer:
okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".
Step-by-step explanation:
Ashley and Emma are reading the same article. Ashley is on page 1 of the article, but she can read 1 page per minute. Emma is already on page 5, but reads a page every 3 minutes.
What page is Ashley on after 5 minutes.
What equation can be used to represent the amount Emma has read?
How many minutes does it take before Ashley and Emma have read the same amount
Answers
Answer:
Part A)
Ashley will be on the sixth page.
Part B)
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
Six minutes.
Step-by-step explanation:
Ashley is on the first page and she can read one page per minute.
Emma is on the fifth page and she can read one page every three minutes.
Part A)
We can write an equation for Ashley. Let m represent the amount of minutes that has passed.
Since she is already one the first page, our initial value is 1.
She reads one page every minute. So, after m minutes, she would have read m pages.
Therefore, our equation is:
[tex]p=m+1[/tex]
Where p is the total pages read after m minutes.
Then after five minutes, Ashley will be on the:
[tex]p=(5)+1=6[/tex]
Ashley will be on the sixth page after five minutes.
Part B)
Since Emma reads one page every three minutes, we can say that she reads 1/3 of a page every minute.
Since she started on page five, her equation is:
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
So, both of their pages read must be equivalent. Therefore:
[tex]\displaystyle m+1=\frac{1}{3}m+5[/tex]
Solve for m. Subtract 1/3m from both sides:
[tex]\displaystyle \frac{2}{3}m+1=5[/tex]
Subtract 1 from both sides:
[tex]\displaystyle \frac{2}{3}m=4[/tex]
Finally, multiply both sides by 3/2:
[tex]\displaystyle m=4\Big(\frac{3}{2}\Big)=6[/tex]
So, it will take six minutes before Ashley and Emma have read the same number of pages.
The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.
Answers
Answer:
I can't see the pic or I can't answer sorry
Step-by-step explanation:
A catering company charges a flat fee of 120$ to cater an event...
Answers
Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?
The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
Answers
Answer:
The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.
Step-by-step explanation:
Just took the test on edge!! :)
Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
What is domain?
List of values of x an equation can satisfy is called Domain.
What is range?
List of values y the function can generate is called range
For example, f(x)=x
it can satisfy real domain i.e. x∈R
and range is R
g(x) = 3 x + 6 - 8 and f(x) = 3x
Domain for both the function is R
Both the function can satisfy all the real numbers, so its range is also R.
Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
Learn more about domain and range,
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Please help me I tired of keep asking. If you have a heart you would help me and give me the right answer Please (NO LINKS) (NO LYING )
Answers
Answer:quit
Step-by-step explanation:that looks lard