Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Which procedure correctly simplifies the expression below?
-(x + 3) – 2(4x – 3)
A.
Step 1: –x – 3 – 8x + 6
Step 2: -9x +3
B.
Step 1: –x + 3 – 8x + 6
Step 2: -9x + 9
C.
Step 1: –x + 3 – 8x + 6
Step 2: -9x + 9
D.
Step 1: – x -3 – 8x – 6
Step 2: -9x – 6
Answer:
uhhh..... yes??
The correct method to proceed for simplification of the expression →
- (x + 3) – 2(4x – 3) are -
Step 1 : –x – 3 – 8x + 6
Step 2 : -9x +3
What is expression in mathematics?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is the following expression -
-(x + 3) – 2(4x – 3)
The given expression is -
-(x + 3) – 2(4x – 3)
The correct method to proceed for simplification is as follows -
- x - 3 - 8x + 6
- x - 8x - 3 + 6
-9x + 3
Therefore, the correct method to proceed for simplification of the expression → - (x + 3) – 2(4x – 3) are -
Step 1 : –x – 3 – 8x + 6
Step 2 : -9x +3
To solve more questions on simplification of expressions, visit the link below-
https://brainly.com/question/403991
#SPJ2
3y+6=12 im not good at math so please help...
Ill give u a cookie
Answer:
y = 2
Step-by-step explanation:
where is my cookie >:(
What is the solution to the system of equations?
(-6,-2)
(-2,-6)
(2,-4)
(-4,2)
Answer:
its c
Step-by-step explanation:
Estimate the sum of the decimals below by rounding each summand to the
nearest whole number. Enter your answer in the space provided.
1.902
4.837
+ 2.565
Answer:
it would be rounded to 9 as the nearest whole number (the number in decimal form is 9.304 when added up to get the sum)
in 2010, $1 was worth 45.65 idian rupees . that same year, $1 was worth 31.7 thailand bahts. how many more rupees than bahts was worth in 2010
Answer
13.95
Step-by-step explanation:
31.7 is 31.70 then add 13.95 then it equals 45.65.
HELP PLS
An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)
a
1 over 5 • 10 hours
b
1 over 10 • 5 hours
c
1 over 5 • 1 over 10 hour
d
5 • 10 hours
Given that,
An oil company fills 1 over 10 of a tank in 1 over 5 hour.
To find,
How long it will take for the tank to fill completely.
Solution,
Let it takes t time to fill the tank completely. It can be calculated as follows :
[tex]t=\dfrac{\dfrac{1}{10}}{\dfrac{1}{5}}\ \text{hours}\\\\=\dfrac{1}{10}\times 5\ \text{hours}[/tex]
Hence, the rate is "1 over 10 • 5 hours ". The correct option is (b).
The length of a cell phone is 1.21.2 inches and the width is 4.64.6 inches. The company making the cell phone wants to make a new version whose length will be 1.141.14 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
The width of the new phone will be 4.37 inches
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value.
The original length of a cell phone was L=1.2 inches and the original width was 4.6 inches.
A new version of the cell phone is to be released with proportional dimensions with respect to the original cell phone.
We are given the length of the new phone L'=1.14 inches. The ratio of the lengths is 1,2/1.14=1.053.
The new width should be W'=4.6/1.053=4.37 inches
The width of the new phone will be 4.37 inches
Answer:
4.41
Step-by-step explanation:
delta math said so
If the scale factor of Figure A to Figure B is 1:10, find the value of x.
А
24
B
Answer:4
Step-by-step explanation:
X will be equal to the even number up, 6 times 4= 24?
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?
A carnival game charges different prices for adults and children to play. Kids tickets are two dollars and adult tickets are five dollars. The carnival sold 36 tickets to this game and collected $135. Set up a system of equations that can be used to solve for the number of adult and children tickets sold for this game
Answer:
kids= 15
adults= 21
Step-by-step explanation:
Step one
let the number of kids be x
and adults be y
Kids tickets are two dollars and adult tickets are five dollars
The carnival sold 36 tickets to this game and collected $135
so the system of the equation is
2x+5y=135----------1
x+y=36---------------2
from 2 x= 36-y
put x= 36-y in 1
2( 36-y)+5y=135
72-2y+5y=135
collect like terms
3y=135-72
3y=63
divide both sides by 3
y= 63/3
y=21
put y= 21 in 2
x+21= 36
x=36-21
x=15
If you have less than $10.00 in dimes and quarters. Which of the following is a
possible combination of dimes and quarters that satisfy the inequality. *
a. 50 dimes and 20 quarters
b. 20 dimes and 50 quarters
c. 50 dimes and 30 quarters
d. 40 dimes and 20 quarters
Answer:
D. 40 dimes and 20 quarters
Step-by-step explanation:
40 dimes= $4 because 10 dimes= $1
20 quarters= $5 because 4 quarters= $1
The other options are above $10. I hope this helps!!!! :D
what is the the slope line through (2, -2) and (9, 3)
Answer:
5/7
Step-by-step explanation:
3-(-2)/ 9-2
5/7 is the slope
120 as a decimal to the hundredths place. Plssssssss helllllllllppppoooo
CJ wants a new video game but is not sure which one to buy. His choices are 5 sports games, 3 role-playing games, and 8 action games. He writes the game titles on pieces of paper and puts them all in a bag. He wants to buy two different games. If he randomly selects two names from the bag, what is the probability that CJ selects two sports games?
Answer:
1 /12
Step-by-step explanation:
Given that:
Number of sports game = 5
Role playing games = 3
Action games = 8
Total = (5 + 3 + 8) = 16
The probability of selecting two sports game from the bag :
First selection = sport game and second selection will also be a sport game.
This scenario with be a selection without replacement pattern
First selection :
Number of sports game / total number of options
5 / 16
SEcond selection : total left = 16 - 1 = 15 ; number of sports game = 5 - 1 = 4
Hence
P(sports on second selection) = 4 / 15
P(sports on first and second) :
5/ 16 * 4/15 = 20/ 240 = 1 / 12
write the equation of the line with a slope of 3 passing through the point (4,10)
Answer:
3x - y - 2 =0
Step-by-step explanation:
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1)[/tex]
Plug [tex] _1 =4\:y_1= 10\: \& \: m = 3[/tex] in the above equation, we find:
[tex] y-10 =3(x-4)\\\\
y - 10 = 3x - 12\\\\
y = 3x - 12+ 10\\\\
y = 3x - 2\\\\
3x - y - 2 =0
[/tex]
Whats the Answer Giving Brainliest:D
Answer:
B
Step-by-step explanation:
They're each 4 times as miles away
What is, y = 3x² + 24x + 50 in vertex form.
Please help !!
Answer:
y=3(x+4)²+2
Step-by-step explanation:
Graph the point (-2,3) and 3 more points using a slope of -1/2
Answer:
Step-by-step explanation:
(-2,3) k=-1/2
Find the equation of the line:
[tex]y=kx+b[/tex]
[tex]\displaystyle\\3=-\frac{1}{2}*(-2)+b\\\\3=1+b\\ 3-1=1+b-1\\2=b\\Thus,\\y=-\frac{1}{2} x+2[/tex]
The required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).
Given that,
To determine points using a slope of -1/2 and the point (-2,3).
Coordinate, is represented as the points on the x-axis and y-axis of the graph.
Here,
using the slope-intercept form of the equation,
y = mx + c
we have a point (-2, 3) and m = -1/2
Put point and slope in the equation,
3 = -1/2 * -2 + c
c = 3 - 1
c = 2
Now equation would be
y = -1/2x + 2
Now,
For x = 0
y = 2
Coordinate will be (0,2)
For x = 1
y = -1/2 + 2
y = 3/2
Coordinate will be (1, 3/2)
For x = 2
y = -1/2 * 2 + 2
y = 1
Coordinate will be (2, 1)
Thus, the required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ2
Help now answer this
Climbing at an indoor rock-climbing gym costs $12 per hour. Lizbeth has a $50 gift card to spend at the gym. Write an algebraic expression for the dollar amount Lizbeth will have left on the card after she spends h hours climbing. No need to solve!
Answer:
50-12h=4 hours max and Liz will be left with 2 dollars
Step-by-step explanation:Nice
Answer:
12 - 50 = h
Step-by-step explanation:
Or 12 + h = 50
There are 24 students in Mrs. Cole's class
and 19 students in Mr. Garmen's class.
How many students are in the two classes?
Answer:
it would be 43 in both classes.
Answer:
43 students
Step-by-step explanation:
24+19=43
Hope It Helps
Sorry If I'm Wrong
Determine whether y varies directly with x. If so,
find the constant of variation k and write the
equation
x y
7 14
21 42
63 126
189 378
Answer:
Yes.
Step-by-step explanation:
They both multiply by 3. K=3
x1=x0*3
x2=x1*3....
y1=y0*3
Y2=y1*3....
Answer:
see explanation
Step-by-step explanation:
If y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation and
k = [tex]\frac{y}{x}[/tex]
Check this ratio for each ordered pair, that is
k = [tex]\frac{14}{7}[/tex] = [tex]\frac{42}{21}[/tex] = [tex]\frac{126}{63}[/tex] = [tex]\frac{378}{189}[/tex] = 2
Thus k = 2 and
y = 2x ← equation of variation
I NEED MY FINAL DONE!
Requirements:
Algebra 2/Trig Honors
It has to make up of a roller coaster.
Must ALL have intervals
Has to have the following functions:
Linear(3) , Absolute Value (1) , (2) Quadratic & 2 any other functions
I WILL PAY
Answer:
how much ?
Step-by-step explanation:
Pam started to divide 858 by 35. 4 35 ) 858 Is the first digit of her quotient correct?
Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making $7.50 per hour. At the coffee shop, he works more than 4 hours but less than 7 hours each day. Diego needs to make at least $70 daily to afford his living expenses.
Step-by-step explanation:
Yeah i also need the samw ans
Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup hold?
Answer:
3245.8
Step-by-step explanation:
Answer:177.6 millimeters
Step-by-step explanation:
I need help on solving
Step-by-step explanation:
when 2 lines intersect, the angles on both sides of either one of the lines midst be the same, of course (where would other angles come from ? we are dealing with straight lines). they are only left-right mirrored.
therefore,
5x = 3x + 60
2x = 60
x = 30
so, both angles are 5×30 = (3×30 + 60) = 150°
Earl runs 45 meters in 30 seconds. How many meters does Earl run per second? Earl runs meters per second.
Answer: 1.5
Step-by-step explanation
45/30=1.5
check: 1.5x30=45
Solve -36 = j + 13 for j .
Answer:
J = -49
Step-by-step explanation:
Answer:
x=-49
Step-by-step explanation:
-36=j+13
first we need to get j by itself so we need to move 13 from the right side to left by subracting 13 from both sides.
-36-13=j+13-13
-49=j
since J is alone that is the answer
There are 32 marbles in a jar: 14 blue, 10 red, 5 green, and 3 yellow. Sally pulls one marble, randomly, from the jar. Without replacing the marble, she pulls another marble. What is the probability that both marbles will be red?
Answer:45/496
Step-by-step explanation: