Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
See below
Step-by-step explanation:
To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.
5)
The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.
It's pretty hard to read that top graph in the photo, but I think I see these ones marked:
Line 1: (0, 3) and (3, 0)
Line 2: (0, -3) and (2, 3)
Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.
Divide the change in y by the change in x:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]
The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.
Now for line 2:
[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]
When x increases by 1, y increases by 3.
The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.
Line 1: 3
Line 2: -3
Now, you can write the equations for these lines in slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept we found above.
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
In line 1, -1x can be simplified to just -x.
6)
I'll do the exact same process here, but with less explaining. Let me know if you have any questions.
Find 2 points:
Line 1: (0, -2) and (4, 0)
Line 2: (0, 6) and (4, -4)
Find the slope of line 1:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]
and line 2:
[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]
Now, the y-intercepts:
Line 1: -2
Line 2: 6
Write the equations:
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.
Example:
[tex]y=2x+1\\y=2x+2[/tex]
Those both have a slope of 2, and if you graph them, you'll see that they never intersect.
A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.
Example:
[tex]y=2x+1\\y=2x+1[/tex]
That's what they are, graph them however you like.
the points (2,4) and (6,7) lie on a line. what is the slope of the line?
help pls please hmmmm
is 8/24 greater or 8/20
Answer:
8/20
Step-by-step explanation:
the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.
0.4 is more than .33 repeating. reaffirming that 8/20 is bigger
The range of this function
Answer: C
Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range
According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?
A 4 lakhs
B 43 lakhs
C 4 crores
D 43 crores
According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?
A 4 lakhs
B 43 lakhs
C 4 crores
D 43 crores
→ C 4 crores
Explaination :
2 - Unit place
3-tens place
9- hundred place
6 - thousand place
0- ten thousand place
4 - lakh place
3 - ten lakh place
4 - crore place
hence , closest approximation of this number is 4 crores.
Approximation of number is 4 crores.
What is Approximation?Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.
Given census of a country is 43406932
Adjusting numbers to the closest 10, 100, 1,000
To rough to the closest ten, check out at the digit during the tens section.
Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.
so the number to the closest is crore
Hence the closest approximation of this number is 4 crores.
Learn more about approximation;
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The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.
The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details refer to the link given below.
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Which equation best represents the line of best fit for the scatter-plot?
Please help me with the math below
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
PLEASE HELP FOR BRAINLIST!!!!!!!!!
Answer: B, or 824(1.03)^n-1
824 is the base we are starting off with, and when you multiply something by 1.03, the product will be +3% of the original number :)
Hope this helps!
68.1 x 0.8
help me please or im gonna fail :(
Answer: 54.48
Just copy n paste
Lashonda wants to replace a glass window in her restaurant the window is in the shape of a square its side lengths are 6 feet Spose glass cost seven dollars for each square foot how much will the glass cost to replace the window
Answer:
$252
Step-by-step explanation:
6×6 is 36 which you multiply by 7 Hope this helps! :)
Answer:
$252
Step-by-step explanation:
So we know that the glass is a 6x6 square. Meaning 36 pieces of square-foot glasses can fit. Knowing that 36 pieces can fit and each square-foot glass costs $7, we can multiply 36*7 to get $252 to replace the window.
help me 6= a/4 + 2
It's a two-steps equations
6=a/(4+2)
6=a/6
Now multiply both sides by 6 to cancel one of them.
6*6=6*a/6
6*6=a
36=a
Which describes 4x and -7x in this
expression?
4x - 5 - 7x
-
a constants
b. variable terms
c. like terms
d. coefficients
Answer:
B. Variable terms
Step-by-step explanation:
The 4 and -7 both have an x on them. The x is a variable.
F(x) = the integral from 0 to x cos(t^2)dt. Use your calculator to find F’(1)
By the fundamental theorem of calculus,
[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]
and so F'(1) = cos(1).
Write an inequality that represents the graph.
Answer:
fncscscsdcsdcsadcsddcscsdcs
Step-by-step explanationso you do nine 9 x9
What are the terms in the expression 2d+7+5f
Answer:
3 terms 2d,7 and 5f
Step-by-step explanation:
Answer:
The answer would be 2d 7 5f hope this helps
Step-by-step explanation:
2. You have 7 folders and you want to put the same number of pages in each folder.
a. If you have a total of p pages, how many pages will be in each folder?
b. Evaluate your expression to calculate the number of pages in each folder if you have 147 pages or
245 pages.
Answer:
a. p/7
b. 21; 35
Step-by-step explanation:
To find the number of pages in each folder, divide the number of pages by the number of folders.
a. There will be p/7 pages in each folder.
b. 147 pages will result in 147/7 = 21 pages in each folder
245 pages will result in 245/7 = 35 pages in each folder
Find the value of the unknown value in the following equation
14x + 9 =79
PLZ HELP
Answer:
x = 5
Step-by-step explanation:
If I understood correctly, you are looking for x. you bring over the 9, which you subtract and are left with 14x=70. Then divide both sides by 14 and you get x=5. Also I'd recommend getting the Symbolab app.
PlZ HELP
fill in the blanks
Answer:
3*(8-5)=(3*8)-(3*5)
Answer:
I think it would be 3x(8-5)=(3x6)-(3x3)
Step-by-step explanation:
This is because if you answer the left side of the equation, it would be 9:
3x(8-5)
(8-5=3)
then 3x3=9
and on the right side of the equation, if you plug in 6 and 3 + solve the equation you would get 9:
(3x6)-(3x3)
18-9
=9
so all together it would be 9=9 which is true
meaning that the numbers 6, and 3 are the numbers you use to fill in the blanks (this is only one of the possible answers, there are many more!)
Not sure if all calculations are correct, but I hope this helps! :)
What’s the answer to A
Answer:60
Step-by-step explanation:
plz like
what is the square root of negative 1 divided by 8
Answer:
if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]
and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
What is the fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts
As per the given information
i.e.,
[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]
Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].
To know more about the fraction
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can someone pllsss help :((
What is the area?
7 square feet
11 square feet
9 square feet
Answer:
7 square feet
Step-by-step explanation:
There are seven squares, one is 1 square foot
7x1=7
Hassan picked 5 pounds of strawberries. That afternoon, Hassan's sister ate 1/4 of the strawberries. How many pounds of strawberries did Hassan's sister eat? Write your answer as a fraction or as a whole or mixed number.PLZZZZZZZ HELP
Answer:
Hassan's sister ate 5/4 pounds of strawberries.
Step-by-step explanation:
=> 5 x 1/4=> 5/4Conclusion:
Therefore, Hassan's sister ate 5/4 pounds of strawberries.
Hoped this helped
[tex]BrainiacUser1357[/tex]
A student finds the minimum value of the function
f
(
x
)
=
x
2
−
18
x
+
85
by completing the square. What is the minimum value of the function?
85
85
4
4
−
9
− − 9
−
18
To paint a house, a painting company charges a flat rate of $275 for supplies plus $60 per hour of labor. Write a linear equation for tis situation and explain the slope and y-intercept in this context.
Answer:
y=60x+275
Step-by-step explanation:
the slope would be 60 as it is the rate being charged per hour, the y intercept (b) is the initial y value at x=0 and since the company charges 275 before they do any work, that would be the y intercept.
Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)
Answer:
The solution would be C. (2, -4)
Step-by-step explanation: Equation: 2y = -3x - 2
1. (2, -3)
2(-3) = -3(2) - 2
-6 = -6 - 2
-6 = -8 (Not a solution)
2. (-3, 2)
2(2) = -3(-3) - 2
4 = 9 - 2
4 = 7 (Not a solution)
3. (2, -4)
2(-4) = -3(2) - 2
-8 = -6 - 2
-8 = -8 (Solution)
4. (-4, 2)
2(2) = -4(-4) - 2
4 = 12 - 2
4 = 10 (Not a solution)
Answer 1 question. Thanks
please answerrrrrrrrrrr
Answer:
I think it's 25 meters.
Hope that helps. x
Answer:
I think it will be 25 meters
Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?
Answer:
706.5
(there is no hundredths place)
Step-by-step explanation:
r=15
a= pi × r²
3.14×15²
15²=225
3.14×225=706.5
I don’t understand how to do it
Answer:
Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.
For your information, in the attached image file with the formula, "m" represents the slope in the formula.