Answers
m= slope
b = y-intercept (The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.)
To start with, you’ll need two ordered pairs (x,y) from the line to solve for slope.
For the first graph:
Let (x1,y1) = (0,2)
(x2,y2) = (2,4)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - 0)
m = 2/2 = 1
Therefore, the slope (m) = 1.
Next, for the y-intercept, the point where it crosses the y-axis is at point (0, 2). Therefore, the y-intercept (b) = 2.
Thus, the linear equation of the first graph in slope-intercept form is: y = x + 2.
For the 2nd graph, do the same steps as we have done in the 1st graph:
Choose 2 ordered pairs:
Let (x1,y1) = (0,2) — right off the bat, this is the y-intercept.
(x2,y2) = (2,0)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (0 - 2)/(2 - 0)
m = -2/2 = -1
Therefore, the slope (m) = 1.
For the y-intercept, I noted earlier that (0,2) is the y-intercept. Hence, b = 2.
The linear equation in slope-intercept form of the 2nd graph is: y = -x + 2
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Related Questions
What is the LCM for 12 and 4
Answers
Answer:
12
Step-by-step explanation:
4 and 12 only share 12 which is the lowest number :D
plz help will mark you as brainliest
Answers
= 81
P = 81
Mia is "helping" her mom pick up 27 toys that are strewn on the floor. Mia's mom puts five toys into the toy box every 40 seconds, but each time, immediately after those 40 seconds have elapsed, Mia takes three toys out of the box. How much time, in minutes, will it take Mia and her mom to put 27 toys into the box for the first time?
Answers
Answer:
8 min
Step-by-step explanation:fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff :)
Solve.−4 2/5=x−1 1/4What is the solution to the equation?Enter your answer as a simplified mixed number in the box.x =
Answers
Answer:
[tex]\boxed{\sf x=-3\frac{3}{20}}[/tex]
Step-by-step explanation:
[tex]\sf -4\cfrac{2}{5}=x-1\cfrac{1}{4}[/tex]
Multiply Both sides by 20, Which is the LCM of 5, 4:
[tex]\mapsto \sf (4\times 5+2)=20x-5(4+1)[/tex]
Multiply 4 and 5= 20, and add 20 +2 =22
[tex]\mapsto \sf -4\times 22=20x-5(4+1)[/tex]
Multiply -4 * 22 = -88, and then add 4+1=5:
[tex]\mapsto \sf -88=20x-5\times 5[/tex]
Multiply -5 *5 = -25:
[tex]\mapsto \sf -88=20x-25[/tex]
Now, swap sides:
[tex]\mapsto \sf 20x-25=-88[/tex]
Add 25 to both sides:
[tex]\mapsto \sf 20x=-88+25[/tex]
[tex]\mapsto \sf 20x=-63[/tex]
Divide both sides by 20:
[tex]\mapsto \sf x=\cfrac{-63}{20}[/tex]
Now, convert an improper fraction to a mixed number: →
[tex]\mapsto \sf x= -3\cfrac{3}{20}[/tex]
_____________________________________
4t+10=20+2t (solve for t)
Answers
Answer:
t=5
Step-by-step explanation:
4t+10=20+2t
4t-2t=20-10
2t=10
t=10÷2
=5
4t + 10 - 2t = 20
2. Move 10 to the right-hand side and change its sign
4t - 2t = 20 - 10
3. Collect like terms
2t = 20 - 10
4. Subtract the numbers
2t = 10
5. Divide both sides by 2
2t = 10 ➗ 2
Write the value of t
t = 5
Substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-8,13) and (4, -2). The equation of the line is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answers
a
A shipping container is in the shape of a right rectangular prism with a length
of 13.5 feet, a width of 11 feet, and a height of 5-5 feet. The container is
completely filled with contents that weigh, on average, 0.93 pound per cubic
foot. What is the weight of the contents in the container, to the nearest
pound?
Answers
Answer:760 lbs
Step-by-step explanation:
The volume of a right rectanglar prism (i.e., a box) is length*width*height.
Volume = (13.5)*(11)*(5.5) = 817 ft^3
Density = 0.93 lb/ft^3
Weight of container contents = (817 ft^3)*(0.93 lg/ft^3) = 760 lbs
Match the percent on the left with the appropriate estimate on the right
32% 20%
22% 70%
74% 1/2
51% 30%
Answers
Answer:
32% goes to 30%. 22% goes to 20%. 74% goes to 70%. 51% goes to 1/2.
Step-by-step explanation:
Just treat is as rounding. When you round, 32 goes to 30 because the 2 is 4 or less. 22 and 74 each respectively round to 20 and 70. 1/2 is equal to 50%. And 51% rounds to 50%, or 1/2.
The correct value of the percent on the left with the appropriate estimate on the right is,
32% - 30%
22% - 20%
74% - 70%
51% - 1/2
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
To match the percent on the left with the appropriate estimate on the right.
Now, We can simplify as;
32% = 0.32
22% = 0.22
74% = 0.74
51% = 0.51
20% = 0.20
70% = 0.70
1/2 = 0.5
30% = 0.3
Thus, The correct value of the percent on the left with the appropriate estimate on the right is,
32% - 30%
22% - 20%
74% - 70%
51% - 1/2
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will mark as brainliest plz help
The value of (17+ V2)(17– V2) is
Answers
Using formula a^2- b^2 = (a-b)(a+b)
[tex](17 + v ^{2} )(17 - {v}^{2} ) \\ = (17)^{2} - {(v ^{2} )}^{2} \\ = 289 - {v}^{4} [/tex]
Formula :[tex]\large \boldsymbol {\rm a^4-b^4=(a^2-b^2)(a^2+b^2)}[/tex] Solution:
[tex]\large \boldsymbol {} \rm (17+V^2)(17-V^2)=17^2-V^4=\boxed{\rm 289-V^4}[/tex]
Estimate the cube root of 92
Answers
Answer:
Cube root of 92 can be represented as 3√92. The value of cube root of one is 92.The nearest previous perfect cube is 64 and the nearest next perfect cube is 125.
Step-by-step explanation:
in need of help, super confused
Answers
Answer: (a.) 8*13= 104 miles (b.) 8/144= 18 days
Step-by-step explanation: 8 miles a day = 8*days
Answer:
a. 104 miles
b. 8 days
Step-by-step explanation:
the funtion evaluated on d = 13 give 104 miles
helpp me maths giving 10 points
Answers
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
(a) Linear Equation in one variable :⇒ m - 5 = 6
⇒ 3t = 1 - t
(b) Solve :(i) 4x - 7 = 1
⇒ 4x = 1 + 7
⇒ 4x = 8
⇒ x = 8/4
⇒ x = 2
(ii) n/2 + 1 = 6
⇒ n/2 = 6 - 1
⇒ n/2 = 5
⇒ n = 5 × 2
⇒ n = 10
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Solve
x2 + x - 56 = 0
Answers
The answer would be 2x1=x so x would be 2
Step-by-step explanation:
Answer:
x = 7, - 8
Step-by-step explanation:
x^2 + x - 56 = 0
x^2 + 8x - 7x - 56 = 0
x ( x + 8 ) - 7 ( x + 8 ) = 0
( x - 7 ) ( x + 8 ) = 0
x - 7 = 0
x = 7
x + 8 = 0
x = - 8
3^3 log3 4
see image
Answers
51.529096 is your answer
\frac{\left(9^2\cdot 9\cdot 9^5\right)}{9^9}
Answers
simplify 9² x 9 to 9³
9³ x 9⁵/9⁹
use product rule: x‸ax‸b=x‸a+b
9⁸/9⁹
use quotient rule: x‸a/x‸=x‸a-b
9⁸⁻⁹
simplify 8-9 to -1
9⁻¹
use negative power rule: x‸-a=1/x‸a
1/9
What is the value of (4/5 a 1/3) x 5^2 + 5/6 expressed in simplest form
Answers
Answer:
The choice C.
[tex]12 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]( \frac{4}{5} - \frac{1}{3} ) \times {5}^{2} + \frac{5}{6} \\ \\ ( \frac{12}{15} - \frac{5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{12 - 5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{7}{15} ) \times 25 + \frac{5}{6} \\ \\ \frac{35}{3} + \frac{5}{6} \\ \\ \frac{70}{6} + \frac{5}{6} = \frac{75}{6} \\ \\ = \frac{25}{2} = 12 \frac{1}{2} [/tex]
I hope I helped you^_^
Let A = {1,5, 17,21} and B =
{3,4,6,10). R SAXB, R = {(1,3).(5,6),(5,10),(21,6)}
What are 1, 5, and 21 related to? What is domain, codomain, and range of R?
a.
Answers
sa may picture yong answer
Step-by-step explanation:
sana makatulong
There are 3 teaspoons in 1 tablespoon. How many teaspoons are there in 6 tablespoons?
Answers
Answer:
18
Step-by-step explanation:
we can solve this as a ratio, from teaspoons to tablespoon is 3:1. if the tablespoon is 6 then the ratio becomes ?:6. Since we multiplied 1 by 6 we have to multiply 3 by 6 making the ratio 18:6.
10. Trevor rode his mountain bike 84 km in
3 h. Jillian rode 70 km in 2.5 h. Who is
the faster cyclist? How do you
know?
Answers
84km / 3h = 28 km/h
Jillian:
70km / 2.5h = 28 km/h
They are going the same speed. We know this because speed=distance/time and they are both going 28km/h.
Ayuda please I need help me please
Answers
Answer:
sqrt(61)
Step-by-step explanation:
4-(-1) = 5
-3-(-9) = 6
sqrt(5^2+6^2) = sqrt(25+36) = sqrt(61)
Finding unknown measures in similar triangles
Answers
Answer:
8
Step-by-step explanation:
8
The value of the missing side of the triangle is 24.
What is the similarity?Similarity refers to the degree of resemblance or likeness between two or more things, concepts, or ideas. It can be measured in various ways, depending on the context and the characteristics being compared.
Scale factor refers to the ratio of the size of an object in the original form to its size in the scaled or transformed form. It is commonly used in geometry and mathematics to describe how the dimensions of an object have changed after a transformation such as scaling, stretching, or shrinking.
From the given figure the value of the missing number is calculated as,
36 / 24 = x / 16
x = ( 8 x 3 )
x = 24
Therefore, the value of an unknown number is x = 24.
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Right answer gets brainlyest
Answers
Answer:
[tex]-\frac{7}{8}a-\frac{1}{6}[/tex] (the first box is 7/8 and the second box is 1/6)
Step-by-step explanation:
Step 1: Combine like terms.
[tex](-\frac{5}{8}a-\frac{1}{4}a)+(\frac{2}{3} -\frac{5}{6})[/tex] [tex](-\frac{5}{8}a -\frac{2}{8}a)+(\frac{4}{6}-\frac{5}{6})[/tex] [tex]-\frac{7}{8}a-\frac{1}{6}[/tex]Therefore, the answer is [tex]-\frac{7}{8}a-\frac{1}{6}[/tex]. (Again, the first box is 7/8 and the second box is 1/6).
mathematics sat question
Answers
Answer: A) [tex]a^{2}[/tex] + a
add the two equations together to get A.
the ones cancel eachother out and you cant add [tex]a^{2}[/tex] to a
Answer:
A) a^2 + a
Step-by-step explanation:
So the problem says "sum" which means you have to add the expressions
(a^2) - 1 and a+1
Work:
((a^2) - 1) + (a + 1)
We can simplify only the constants
(a^2) + a + 1 - 1
(a^2) + a
so the answer is A
Last month, you joined an online strategy game. When you joined, there were 50 members. Since then, 41 members have quit. What is the percent change in the number of
members from last month to this month?
Amount Decrease
Answers
Answer:
82% decrease
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
There were 50 members.
41 left.
50 - 41 = 9
The new number of members is 9.
percent change = (9 - 50)/(50) * 100%
percent change = -82%
A negative percent change is a decrease.
PLZ HELP I WILL Give Brainliest
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
Answers
Answer:
Is this a graph question?
if i have an 84 in a class, and i get a 64 on a test, what is my grade?
Answers
Answer:
Depending on how many grades you have in the class already and how much the test is worth, the score will go down. It will not go below 64, but it will not be above 84.
Someone pls help me I will make you brain
Answers
Answer:
k=4
Step-by-step explanation:
Answer:
The answer is K=2 100% sure.
I just need the right answer like you don’t have to explain it or anything
Answers
Answer:
D.) (x-8)^2
Step-by-step explanation:
Factor:
What can be multiplied to get 64 and added to get negative 16?
(x-8)(x-8)
(x-8)^2
If student A is 160 cm tall, and the student B is 20% shorter than student A, what is the height of student B?
Answers
Answer:
128
Step-by-step explanation:
It’s actually quite simple all you have to do is find out what 20% of 160 is then subtract the 20% by 160 to get your final answer UwU
PLS HELP ASAP FOR BRAINLIEST!!
Answers
Answer:
{x | 0 < x ≤ 5}
Step-by-step explanation:
The domain of a function describes all the values x could taken on in order to produce an output. You can notice the value of x is farthest left at a value of 0, which has an open dot and the value of x that is farthest right is at 5 with a closed dot. A closed dot includes the value while an open does not. This means x can be equal to 5, but not zero. We can write our domain as follows:
{x | 0 < x ≤ 5}