Answers
=======================================================
Explanation:
The given equation y = (-2/3)x+1 is in the form y = mx+b
m = -2/3 is our slope
b = 1 is the y intercept
The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.
Another point can be found using the slope
Recall that slope = rise/run
Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.
The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.
The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.
Related Questions
find the number shows 5 by 7 is 125
Answers
Answer:
answer is 175
Step-by-step explanation:
Let the number be x,
x*5/7=125
multiply 125 by 7 because if divide is there when it will go to another side it will be multiply so,
x*5=125*7
or,x*5=875
now you should do divide by 5 because multiply will be divide when it will go to another side
x=875/5
x=175
Hope it is helpful for you
if it is mark me brainest and follow me
What is the equation of the line that passes through the point (8,3) and has a slope
of 1/4?
Answers
Plzzzzzzzzzzz answer this y^2+4x=0 2x+y=4
Answers
y=4 - 2x
then substitute the given value of y into the equation y^2 + 4x = 0
(4 - 2x) ^2 +4x = 0
then solve for x
but there are no real values so your answer is x∉ R
solve for v 2(3v+8)=70
Answers
Answer:v = 9
Step-by-step explanation:
Simplifying
2(3v + 8) = 70
Reorder the terms:
2(8 + 3v) = 70
(8 * 2 + 3v * 2) = 70
(16 + 6v) = 70
Solving
16 + 6v = 70
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 6v = 70 + -16
Combine like terms: 16 + -16 = 0
0 + 6v = 70 + -16
6v = 70 + -16
Combine like terms: 70 + -16 = 54
6v = 54
Divide each side by '6'.
v = 9
Answer: the answer is 9
Step-by-step explanation:
1. open the bracket by multiplying: 2(3v+8)=70
6v+16=70
2. take the 16 over the equals sign. note:(the plus sign in front of the 16 changes to a minus sign.)
6v=70-16
6v=54
3. divide both sides by 6
6v/6=54/6
final answer: v=9
-3+5-(-1) Can anyone helpppp
Answers
Answer:
3
Step-by-step explanation:
- 3 + 5 - (-1)
We are subtracting a negative so it becomes a positive.
- 3 + 5 + 1
-3 + 6 = 3
Step-by-step explanation:
Remember: We have to know the PEMDAS rule: Parenthesis first, then Exponents, then mulitplication/division, and then addition/subraction.
Since -1 is in parenthesis, we solve for that first. 5-(-1) is equal to 5+1, which is equal to 6. Then, we solve from left to right: -3 + 6, which is 3.
Our final answer: 3
A computer has $245 and his commuter savings account. This account changes by -$15 each week he buys a ticket. In one time period The account changes by -$240. For how many weeks did the computer buy tickets?
Answers
Answer:
16 weeks
Step-by-step explanation:
Change per week = - $15
Total change = - $240
Number of weeks:
-240/ -15 = 16f(x) = 2x + 4 g(x) = x – 7 h(x) = 9 – x Find f(g(x))=
Answers
Answer: [tex]2x^{2} - 10x -28[/tex]
Step-by-step explanation:
We know that f(x) = 2x +4 and g(x) = x -7 so to find f(g(x)) multiply them.
(2x + 4)(x-7) Apply the distributive property twice
2x(x-7)
2x^2 - 14x
4(x-7) = 4x - 28
2x^2 - 14x + 4x -28
2x^2 -10x - 28
A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was $18 800, find the discount and the new price?
Answers
Answer:
The discount = $1,128
New price = $17,672
Step-by-step explanation:
Price of car before discount = $18,800
Discount given = 6% of price of car
Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128
Thus, the discount is $1,128
New price = Price of car before discount - discount = $18,800- $1,128
New price = $17,672
what is 8 to the power of negative 1
Answers
Answer:
8
Step-by-step explanation:
The sum of two consecutive integers is 345. What are the integers? need help with it
Answers
Answer:
hi there ☺️
Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 345
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 345
3X + 3 = 345
3X + 3 - 3 = 345 - 3
3X = 342
3X/3 = 342/3
X = 114
Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.
114 + 115 + 116 = 345
We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.
Step-by-step explanation:
pls rate me the brainiest
The amount of water in a bottle is reduced by 15% to 119 milliliters. How much water was originally in the bottle? ________ ml
Answers
Explanation:
let x be the original amount of water
x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml
Find the amount of water in 15%:
85% = 119
15% = y
=> 85/15 = 119/y
Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21
But y = 15% therefore, 15% = 21ml
Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml
Therefore, the original amount of water is 140ml
Fabienne rolls a ball 72 inches across the floor. This is 9 times the distance that Olivier rolls his ball across the floor. Let n represent the number of inches Olivier rolls his ball.
How many inches does Olivier roll his ball?
Select each equation that can be used to solve this problem.
Answers
Answer:
8 inches
Step-by-step explanation:
Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.
Answer:
Oliver rolls his ball 8 inches.
the equation that was used to solve this was : 9n = 72 inches.
Step-by-step explanation:
Since the 72 inches was nine times the distance that Oliver rolled his ball, it means that the unknown number (n), was multiplied by 9 to get Fabienne's inches. So, 9n = 72.
divide both sides by the number next to the unknown to get (n), the number of inches that Oliver rolled his ball.... which is 8.
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.
Answers
Answer:
The correct options are;
0.4 represents the height of each block
0.6 represents the height of the base
Step-by-step explanation:
The given information are;
The activity Kirima is engaged in = Building a wall
The process by which she is building the wall includes
1) Construction of a base on the floor
2) Piling blocks of uniform height to form the wall
3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;
From her procedure, we have the constants, which are the values that do not change as follows;
1) The firm base
2) The uniformly sized blocks
Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern
There is only one firm base
Therefore, the constant that has a variable is the uniform sized blocks
Which gives in the expression 0.4·x + 0.6, we have;
0.4 = The dimension of the uniform sized blocks
∴ 0.6 = The dimension of the firm base.
2 GEOMTERY QUESTIONS
Answers
Answer:
first part c
second part d
Step-by-step explanation:
complimentary angles add up to 180
your looking for the halfway so the distace apsrt was 8 you divide that by 2 to get 4
Answer:
third one and the 2nd ? is 4
Step-by-step explanation:
complementary =180
between 8 and -2 is 4
It takes 45 minutes to drive to the nearest bowling alley taking city streets going
30 miles per hour (mph). How long will it take to get there using the freeway
going 65 mph if the distance is the same? (Round to the nearest minute). *
30 minutes
23 minutes
58 minutes
22.5 minutes
21 minutes
Answers
Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
Your hourly salary increased from $14 to $29. What is the percent increase in your
salary?
Answers
Answer:
107%
Step-by-step explanation:
$14 to $29
Original number/start = $14
End number = $29
Increase = $29 - $14 = $15
% increase = Increase ÷ Original Number × 100
Substitute in known values
% increase = 15 ÷ 14 × 100
Divide
% increase = 1.07 × 100
Multiply
% increase = 107%
The percentage increase is 107%
Hope this helps :)
Answer:
107%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
new number = 29; old number = 14
percent change = (29 - 14)/14 * 100%
percent change = 15/14 * 100%
percent change = 107%
Determine the reason for step 1 in the following algebraic proof.
Answers
Answer:
Option (3)
Step-by-step explanation:
Given : 3x + 12 = 8x - 18
To prove : x = 6
Statements Reasons
1). 3x + 12 = 8x - 18 1). Given
2). 12 = 5x - 18 2). Subtraction property of equality
3). 30 = 5x 3). Addition property of equality
4). 6 = x 4). Division property of equality
5). x = 6 5). Symmetric property
For step 1 in the given proof Option (3) will be the answer.
which is a valid proportion?
Answers
Answer:
3/4=21/28
Step-by-step explanation:
21/28÷7/7=3/4
Answer 3/4 and 21/28
The temperature reading on a thermometer is 25 degrees F at noon. During the afternoon the temperature changes. What is the new reading if the temperature rises 10 degrees?
Answers
Answer:
35*F
Step-by-step explanation: aren't you just adding?
Please help I’m begging you and explain pls
Answers
Answer:
what is the question?
Step-by-step explanation:
show the full picture
Solve for x in the diagram below
Answers
Answer:
x = 12°Step-by-step explanation:
First of all the angles lie on a right angle which means that they are complementary.
Complementary angles are angles that add up to 90°
To find x add up all the angles and equate it to 90° and solve for x
We have
x + 42 + 3x = 90
4x + 42 = 90
Subtract 42 from both sides
4x + 42 - 42 = 90 - 42
4x = 48
Divide both sides by 4
That's
[tex] \frac{4x}{4} = \frac{48}{4} [/tex]We have the final answer as
x = 12°Hope this helps you
Write an algebraic expression for each phrase.
1) the product of -3 and a number s
2) a number v divided by 12
3) the quotient of a number m and 10
4) the sum of 4 and a number f
Answers
Answer:
-3a
V/12
M/10=x
4f
Step-by-step explanation:
I hope this is the answer not sure...
What graph is defined by the function (x+3)(x+3)? (apex)
Answers
Answer:
graph A
Step-by-step explanation:
(x+3)(x+3) is the x-intercepts of the parabola.
x+3=0 is how to determine the x-intercept.
x= -3
Since both of them are -3, the graph would be A, because the part where the graph touches the x axis is -3.
Geometry:Finish the coordinate rule for a 90 degree rotation.
(x,y)—>
Answers
Answer:
(-y,x) The coordinates are switched and the y becomes a negative.
- 3x = 18 answer = m = - 6 answer = 3 4 + y = 0 answer = 2x = - 6 answer = h=2 answer = 5 d = 1 answer = - 8 6 + x = 2 answer = - 7y = 21 answer = - 9w = 0 answer =
Answers
Answer:
this doesnt make sense sorry
Step-by-step explanation:
im trying to help
Let $A=(0,1),$ $B=(2,5),$ $C=(5,2),$ and $D=(7,0).$ A figure is created by connecting $A$ to $B,$ $B$ to $C,$ $C$ to $D,$ and $D$ to $A.$ The perimeter of $ABCD$ can be expressed in the form $a\sqrt2+b\sqrt{5}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answers
Answer:
12
Step-by-step explanation:
thet u go!!!!
You invest $1,250 in a stock. The value of the stock goes up 3.2% and you sell it. How much money did you make?
Answers
Answer:
$1290
Step-by-step explanation:
1250x3.2%=40
1250+40=1290
Step-by-step explanation:
100:1250
103.2:x
(103.2x1250)/100
=1290
he made additional $40
select all true statements about the angles in the figure
Answers
If the square root of a number is equal to twice the same number what is the number?
Answers
A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. ... The symbol is √ which always means the positive square root.
What is the coefficient in the expression 3n + 8?
Answers
Answer:
3
Step-by-step explanation:
Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
The coefficient in the expression 3n +8 is; 3.
Discussion;
By definition, a coefficient is termed a multiplicative factor in some term of a polynomial, a series, or any expression as the case may be.
A coefficient is usually a number, but may be any expression. When the coefficients are variables, they are often called parameters.Read more on coefficients;
https://brainly.com/question/10726089