HelpppWhat is the equation of the line that goes through the point (-4, 15) and is parallel to theequation y = –2x + 5?
Answers
We can get the equation of the line by using the Point-Slope Formula.
The Point-Slope Formula is used when we have one point on the line that isn't the y-intercept and the slope. It is given as:
\(y-y_1=m(x-x_1)\)where:
\(\begin{gathered} m=\text{ slope} \\ (x_1,y_1)=\text{ point on the line} \end{gathered}\)Parameters:
The point is given in the question to be:
\((x_1,y_1)=(-4,15)\)The slope: We are given that the line is parallel to the line
\(y=-2x+5\)Comparing with the Slope-Intercept form of a straight line given as:
\(y=mx+b\)where m is the slope, we have the slope of the line to be:
\(m=-2\)Formula:
We can now input these into the formula and we get the equation below:
\(\begin{gathered} y-15=-2(x-\lbrack-4\rbrack) \\ y-15=-2(x+4) \end{gathered}\)Hence, we can rewrite the equation to be:
\(\begin{gathered} y-15=-2x-8 \\ y=-2x-8+15 \\ y=-2x+7 \end{gathered}\)The answer is:
\(y=-2x+7\)Related Questions
The variables y and x have a proportional relationship, and y = 28 when x = 21.
What is the value of y when x = 36?
O y = 14
O y = 48
O y = 36
O x = 64
Answers
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
Answers
$75 is divided into 5 piles how much in each pile
Answers
Answer:
15
Step-by-step explanation:
75/5=15
Answer: 15 dollars in each pile.
Step-by-step explanation:
Since there is 75 in total, and we have to divide the 75 equally between the 5 piles, we can use the division equation: 75 / 5.
75 / 5 = 15.
Therefore, there will be 15 dollars in each pile. Hope this helps and good luck!
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!
Answers
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The more you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
brainliest , pls dont take advantage of this i need it
Answers
Answer:
B) 9 3/8 in
Step-by-step explanation:
The scale model of the model is 1/2 in for 4 feet, or 1 in for 8 feet.
The real light house is 75 feet. Divide 75 with 8:
75 feet/8 feet per inch = 9.375, or 9 3/8 inches.
B) 9 3/8 in. is your answer.
~
A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
Answers
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
for more search question probability
https://brainly.com/question/251701
#SPJ8
I need help solving question #2
Answers
Step-by-step explanation:
You have to compare each side.
If they have the same ending, they are like terms.
1. E
2. A
3. D
4. B
5. C
SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST HELP ME PLEASE
Answers
Answer:
there is a 1 to 15 relationship between miles and gallons
Step-by-step explanation:
maria scored points 92 in 4 games how many points will it be in 17 games
Answers
Answer:
The answer to this question is 391 points will be scored in 17 games. to find this answer you divide 94 by 4 to find the total points per single game, then multiply that by 17. in this case is is 92 divided by 4 = 23 then 23 X 17 = 391
Suppose 24% of students chose to study French their sophomore year, and that meant that there were 54 such students. How many students chose not to take French their sophomore year?
Answers
171
24 % = 54
1 % = 2.25
100 % = 171
Using the slope formula, find the slope of the line through the given points. (4. - 2) and ( - 2, - 2)
Answers
- 0/6
Step-by-step explanation:
*I’m pretty sure you meant to type “(4, -2)” instead of “(4. -2)” Anyways…*
m = slope
m = change in y/change in x
m = y2 - y1/x2 - x1
Points: (4, -2) and (-2, -2)
m = -2 - -2/-2 - 4
m = 0/-6
The slope is - 0/6
Hi! I'm happy to help!
To solve this problem, we have to find the slope, which is rise over run, or how much the line rises and how far forward the line goes.
We find the slope using this formula (slope formula)
m(slope)=\(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\)
This refers to the second y point minus the first y point, divided by the second x point minus the first x point. Y refers to the y axis, so that is the rise, because it is the difference of height in the line. X refers to the x axis, so that is the run, because it is the difference in how far it travels forward.
Our second y point is -2, our first y point is also -2. Our second x point is -2, and our first y point is 4. Let's plug in our values.
\(\frac{-2-(-2)}{-2-4}\)
Let's simplify this so there isn't a double negative.
\(\frac{-2+2}{-2-4}\)
Now, let's solve
\(\frac{0}{-6}\)
0 divided by -6, is still 0, so there is no slope or the slope is 0. This means that the line is horizontal and the y coordinate doesn't change.
I hope this was helpful, keep learning! :D
Becky had 1/2 yard of felt. She cut off 3/5. What is left?
Answers
Answer:
0.833333333333333333333333
Step-by-step explanation:
i looked i tup
Answer:
-1/10
Step-by-step explanation:
7 times what times 1.25 is 35
Answers
Answer:
4
Step-by-step explanation:
\(7 \times x \times 1.25 = 35\\\\x \times 8.75 = 35\\\\8.75x \div8.75=35\div 8.75\\\\x=4\)
GIVING BRAINLIST AGAIN YOU MIGHT HAVE A CHANCE!
Which inverse operation is needed to isolate the variable in the equation r + 8.9 = 17.4?
Group of answer choices
Add 8.9 to both sides.
Subtract 8.9 from both sides.
Add 17.4 to both sides.
Subtract 17.4 from both side
Answers
Answer:
Subtract 8.9 from both sides.
Step-by-step explanation:
When isolating variables, we need to change the parity of the number or value we are taking away. If we subtract 8.9 from both sides, we will get r=8.5.
HELPP!!!
The area of the figure is ____ square units.
Answers
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
Answers
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
A mathematics student goes out for ice cream to celebrate an A on her midterm. She decides on an ice creams sundae. The available flavors are Chocolate, Strawberry and Vanilla. The available toppings are Hot fudge, Caramel, Nuts, Sprinkles and Strawberries. (a) How many sundaes are possible if one flavor is selected and three different toppings are selected? (b) How many sundaes are possible if there are three scoops of ice cream each which may be of any flavor and two distinct toppings are selected?
Answers
Answer:
(a) 30
(b) 10
Step-by-step explanation:
There 3 different flavors of ice-cream available and 5 different toppings are available.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
\({n\choose k}=\frac{n!}{k!\cdot (n-k)!}\)
(a)
Compute the number of possible sundaes that can be made with one flavor and three different toppings as follows:
\(\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}\)
\(={3\choose 1}\times {5\choose 3}\\\\=3\times 10\\\\=30\)
(b)
Compute the number of possible sundaes that can be made if there are three scoops of each ice cream and two different toppings as follows:
\(\#\text{Sundaes}=\#\text{Ways to select 1 flavor}\times \#\text{Ways to select 3 toppings}\)
\(=1\times {5\choose 2}\\\\=1\times 10\\\\=10\)
How are mixtures and solutions different?
A. Unlike a solution, a mixture can easily be separated and each ingredient keeps its physical properties.
B. Unlike a solution, a mixture can dissolve completely in a liquid because the properties of the ingredients change.
C. Unlike a solution, a mixture has density and will always sink in a liquid because mixtures lack buoyancy.
D. Unlike a solution, a mixture is unable to change states of matter from a solid to a liquid or gas.
Answers
Answer:
D point
hope this helps you
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
Answers
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
For more such questions on interest
https://brainly.com/question/25720319
#SPJ8
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
for such more question on variable
https://brainly.com/question/19803308
#SPJ8
You make an investment where the balance over time can be modeled by the equation y =32000 (1.035)*, where x represents the number of years since the investment started and y represents your total balance after x years.
a. What is the starting balance of your investment?
Answers
The starting balance of investment depending on the equation \(y = 32000 * (1.035)^{x}\) is $32000.
What is the starting balance of your investment?The equation is \(y = 32000 * (1.035)^{x}\) where x represents the number of years since the investment started and y represents the total balance after x years.
To find the value starting balance of the investment we need to put x = 0,
since this represents the initial balance at the start of the investment:
\(y = 32000 * (1.035)^{x}\)
put x = 0
\(y = 32000 * (1.035)^{0} \\y = 32000\)
Therefore, the starting balance of the investment is $32,000.
Learn more about investment here:
https://brainly.com/question/15105766
#SPJ1
The starting balance of the investment is $32,000, since the initial investment is not multiplied by any factor in the given equation.
Describe Investment?Investment refers to the process of allocating resources, such as money or time, to a particular venture or asset with the expectation of generating a return on investment (ROI) in the future. An investment can be made in various forms, including stocks, bonds, real estate, commodities, and mutual funds.
Investing involves taking calculated risks in order to earn a profit or generate income. The level of risk and potential reward associated with an investment depends on various factors, such as the nature of the investment, the economic conditions, and the performance of the particular asset or venture.
There are many different investment strategies and approaches, such as value investing, growth investing, dividend investing, and index investing. Each strategy involves a different approach to selecting and managing investments, depending on the investor's goals, risk tolerance, and investment horizon.
The starting balance of the investment is $32,000, since the initial investment is not multiplied by any factor in the given equation.
To know more about equation visit:
https://brainly.com/question/14266871
#SPJ1
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
1
⇒ -4
f(−4) =
2
⇒ -2
f(f−1(−2)) =
2
⇒ -2
In general, f−1(f(x)) = f(f−1(x)) =
Answers
Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :
f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2
f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2
Given a function,
f(x) = 1/2 x
And an inverse function,
f⁻¹(x) = 2x
We have to find the values of the following.
f(2) = 1/2 × 2 = 1
f⁻¹(1) = 2 × 1 = 2
f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2
f⁻¹(-2) = 2 × -2 = -4
f(-4) = 1/2 × 4 = -2
f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2
So, in general, f⁻¹(f(x)) = f(f⁻¹(x))
Learn more about Inverse Functions here :
https://brainly.com/question/29141206
#SPJ1
8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation
Answers
Answer: 2xy • (4x - 5y)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
((8 • (x2)) • y) - (2•5xy2)
STEP 2:
Equation at the end of step 2:
(23x2 • y) - (2•5xy2)
STEP 3:
STEP 4:
Pulling out like terms
4.1 Pull out like factors :
8x2y - 10xy2 = 2xy • (4x - 5y)
Final result :
2xy • (4x - 5y)
What is the solution of the equation 8x^3 = -64?
Answers
Answer:
\(x=-2\)
Step-by-step explanation:
\(8x^3=-64\)
Divide both sides by 8:
\(\frac{8x^3}{8}=\frac{-64}{8}\)
\(x^3=-8\)
Cube root both sides:
\(\sqrt[3]{x^3} =\sqrt[3]{-8}\)
\(x=-2\)
a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.
Answers
Answer:It would be 40•.25=10
Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off
R.I.P you will forever be missed❤️❤️
Answers
Answer: RIP =(
Step-by-step explanation: Whoever she is will be missed and will rest in peace, peacfully =3
what is 696 divided by 8=?????????????
Answers
Explanation:
Calculator
“belt”-asap rocky
1. Arrange the numbers 5/3 ,6/2 and 2/7? in order from least to greatest
Answers
Answer:
2/7, 5/3, 6/2
Step-by-step explanation:
2/7 is a proper fraction, so it's the smallest of these.
5/3 is greater than 1, but less than 2 & 6/2 is 3, so the order is 2/7, 5/3, 6/2.
Answer:
2/7 , 5/3 , 6/2
Step-by-step explanation:
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Answers
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Which of the following equations does the graph below represent?
A. 2x + 2y = 8
B. -2x - 2y = 8
C. -2x + y = 8
D. -2x + 2y = 8
Answers
Answer: D
Step-by-step explanation:
The answer is D, as seen on the graph, the Y-Intercept is at Y = 4, and the gradient is 1, so according to the equation y = mx + c,
"m" must equal 1, and "c" must equal 4, so the equation needs to be:
y = x + 4.
In Option D, the equation can be rearranged to 2y = 2x + 8, dividing both the LHS and RHS by 2, we get y = x + 4.
This type of question can be tough at first, however it's just a matter of practice, keep practicing, keep working hard, and you'll be an expert in no time!