Help plz! I don't understand this problem!
Write the slope-intercept form of the equation for each line.
Answers
Step-by-step explanation:
First, let's find the slope of the line. Note that it passes through P1(-8, -1) and P2(0, -5). So the slope of this line is
\(m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-5 - (-1)}{0 - (-8)}\)
\(\:\:\:\:\:= \dfrac{-4}{8} = -\dfrac{1}{2}\)
The slope-intercept form of the equation can be written as
\(y = mx + b = -\frac{1}{2}x + b\)
To solve for b, we can use either P1 or P2. Let's use P2.
\(-5 = -\frac{1}{2}(0) + b \Rightarrow b = -5\)
Therefore, the slope-intercept form of the equation for the line is given by
\(y = -\frac{1}{2}x - 5\)
Related Questions
Using log evaluate 3^x=10
Answers
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
for such more question on equation
https://brainly.com/question/17482667
#SPJ8
A bag contains 6blue marbles 8 green marbles 9 red marbles and 17 yellow marbles what is the ratio of blue marbles to Total marbles
Answers
Answer:
6:40
Step-by-step explanation:
6 blue marbles
8 green marbles
9 red marbles
17 yellow marbles
6+8+9+17= 40.
40 is the total amount of marbles.
There are 6 blue marbles.
Comparing the amount of 6 to 40 would be 6:40
The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.
A.
$95
B.
$80
C.
$90
Answers
New price = 90 dollars
25% of 120 = 30
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
How many miles does he run in one year
Answers
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
ayuden gente pipi ,a rectangular garden has a walkway around it .the area of the garden is 6(4.5x+2.5).the combined area of the garden and the walkway is 6.5(6x+4)find the area of the walkway around the garden as the sum of two terms
Answers
The circumference of the walkway is 26 x + 16 when two words are added together.
Discover the product of two terms for the walkway's circumference around the garden?A walkway around a rectangular garden.
The garden's size is 4(4.5 x + 1.5) square meters.
The garden's and the walkway's combined area is 5.5(8 x + 4)
We must locate the location of the walkway.
By deducting the size of the pathway from the area of the
from the combined area, a rectangle
Simplify it to provide the combined area as 5.5(8 x + 4)
The total area is equal to 5.5(8 x) Plus 5.5. (4)
∴Area added together: 44 x + 22
Simplify: The garden's area is 4(4.5 x + 1.5).
The garden's size is equal to 4(4.5 x) Plus 4. (1.5)
The garden's size is equal to 18 x + 6.
Subtract the garden's area from the total area now.
The walkway's area is equal to (44 x + 22) minus (18 x + 6)
Area of the walkway is equal to 44x + 22 - 18 x - 6
- Add similar phrases.
The walkway's size is equal to (44 x - 18 x) +. (22 - 6)
Walkway area equals 26 x plus 16
To learn more about garden's area refer
https://brainly.com/question/13634984
#SPJ1
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+2
x+4
Answers
Answer:
A=x²+6x+8
Step-by-step explanation:
Answer: A=x²+6x+8
Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula. is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.
Question 7(Multiple Choice Worth 2 points)
(Angle Relationships MC)
Two angles are complementary to each other. One angle measures 32°, and the other angles measure (12x-20) determine the value of x
O 64
O 6.5
32.5
Answers
If the sum of (12x - 20)° + 32° = 180° then value of x is 14°.
What are supplementary and complementary angles?When the sum of the two angles is 180° they are said to be supplementary.
When the sum of the two angles is 90° they are said to be complementary.
Given, Two angles are complementary to each other.
One angle measures 32°, and the other angles measure (12x - 20)°.
∴ (12x - 20)° + 32° = 180°.
12x - 20° + 32° = 180°.
12x = 180° - 12°.
12x = 168°.
x = 14°.
learn more about supplementary angles here :
https://brainly.com/question/25251757
#SPJ1
The measures of two supplementary angles are in the ratio 5:7 what is the measure of the larger angle
Answers
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of:
federalism
individual rights
checks and balances
republicanism
Answers
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.
What is federalism?Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.
What is republicanism?Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.
This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.
Read more on republicanism here: https://brainly.com/question/5188360
#SPJ1
Answer:
republicanism
Step-by-step explanation:
What are the zeros of the quadratic function f (x) = 2x^2 -10x-3?
Answers
Answer:
x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4
Step-by-step explanation:
1. Need to factor or can use the quadratic formula
2x^2-10x-3=0
a=2, b=-10, c=-3
[-b+-sqrt(b^2-4*a*c)]/(2*a)
[10+-sqrt(100-4*(-200)]/4
[10+- sqrt(300)]/4
x=2.5+sqrt(300)/4, 2.5-sqrt(300)/4
Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
Answers
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
Learn more about area in https://brainly.com/question/30307509
#SPJ1
please answer fast...............................
Answers
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
Learn more about rotation of figures here: https://brainly.com/question/13286537
#SPJ1
34 Answer:
Solve the equation by a method of your choice:
x2 - 2x - 3 = 0
If there are two solutions, separate the solutions by a comma.
35 Answer:
Solve the equation by a method of your choice:
x2 + 5x + 6 = 0
If there are two solutions, separate the solutions by a comma.
36 Answer:
Solve the equation by a method of your choice:
x2 + 3x - 4 = 0
If there are two solutions, separate the solutions by a comma.
37 Answer:
Solve the equation by a method of your choice:
x2 - 6x + 5 = 0
If there are two solutions, separate the solutions by a comma.
38 Answer:
Solve the equation by a method of your choice:
6x2 + 5x + 1 = 0
If there are two solutions, separate the solutions by a comma.
39 Answer:
Solve the equation by a method of your choice:
4x2 + 15x + 9 = 0
If there are two solutions, separate the solutions by a comma.
40 Answer:
Solve the equation by a method of your choice:
x2 - 36 = 0
If there are two solutions, separate the solutions by a comma.
41 Answer:
Solve the equation by a method of your choice:
x2 + 12x + 36 = 0
If there are two solutions, separate the solutions by a comma.
Answers
The quadratic formula can be used to resolve the equation x2 - 2x - 3 = 0.
x=(-b sqrt(b2 - 4ac)) / 2a
where a=1, b=2, and c=3. By replacing these values, we obtain:x = (2 ± sqrt(4 + 12)) / 2
If we simplify, we get:
x = (2 ± 2sqrt(4)) / 2
x = 1 ± sqrt (4)
As a result, x = 1 + 2 and x = 1 - 2 are the solutions.
The following are the answers, separated by commas:
3, -1
\(x^2 + 5x + 6 = 0\)
\(x^2 + 5x + 6 = 0\)
We can factor this equation into: to find its solution.
(x + 2)(x + 3) = 0
The following answers can therefore be determined using the zero product attribute: x + 2 = 0 or x + 3 = 0.
x = -2 or x = -3
The following are the solutions, each separated by a comma:
-2, -3
36. We can factor the equation to find the solution to x2 + 3x - 4 = 0.
(x + 4)(x - 1) = 0
We can calculate x + 4 = 0 or x - 1 = 0 using the zero product property.
We obtain the following results when we solve for x: x = -4 or x = 1.
Hence, the answers are x = -4 and x = 1.
Solution: -4, 1.
37. We can factor the equation to find the solution to x2 - 6x + 5 = 0.
(x - 5)(x - 1) = 0
We can calculate x - 5 = 0 or x - 1 = 0 using the zero product condition.
We obtain x = 5 or x = 1 when we solve for x.
Hence, the answers are x = 5 and x = 1.
Respondents: 5
38. We can apply the quadratic formula x = (-b (b2 - 4ac)) / 2 to solve 6x2 + 5x + 1 = 0. (2a)
We obtain the following equation by plugging in the variables a = 6, b = 5, and c = 1: x = (-5 (25 - 24)) / 12 x = (-5 1) / 12
We obtain x = -2/3 or x = -1/2 by simplifying.
The answers are therefore x = -2/3 and x = -1/2.
Solution: -2/3, -1/2
39. The equation 4x2 + 15x + 9 = 0 can be factored as follows:
(4x + 3)(x + 3) = 0
In response to the zero product property, we get either 4x + 3 = 0 or x + 3 = 0.
When we solve for x, we have x = -3/4 or -3.
Hence, x = -3/4 and x = -3 are the answers.
Response: -3/4, -3
\(40. x^2 - 36 = 0\)
This problem can be solved by adding 36 to both sides to obtain:
x^2 = 36
The square root of both sides can then be calculated as follows:
x = ±6
As a result, the answers are x = 6 and x = -6.
The following are the answers, separated by commas:
6, -6
\(41. x^2 + 12x + 36 = 0\)
We can factor this equation into: to find its solution.
(x + 6)(x + 6) = 0
The zero product attribute can then be used to identify the answers:
x + 6 = 0
x = -6
Hence, the answer is x = -6. There is just one solution because both components in the factored form are identical.
The answer is: -6.
To know more about Comma visit:
brainly.com/question/14009118
#SPJ1
The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval
Answers
Average rate of change is the change in the function per unit in a given interval. The average rate of change from x = 5 to x = 7 is -4.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, The graph of y = f(x)
See attachment for the points on f(x) that links x = 5 to x = 7
The line segment is represented by a green line
To determine the average rate of change using the line segment; we have the following values.
When x = 5: y = 8
When x = 7: y = 0
So, the average rate of change (m) is:
m = Δy/Δx
Where:
Δy = y₂ - y₁
Δy = 0- 8
Δy = -8
Δx = x₂ - x₁
Δx = 7 -5
Δx = 2
So, we have:
m = Δy/Δx
m = -8/2
m = -4
Hence, the average rate of change from x = 5 to x = 7 is -4
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
Complete question:
If 1+3+5+7+…+49 =625, what is 2+4+6+8+…+50?
Answers
If 1+3+5+7+…+49 =625, then the value of 2+4+6+8+…+50 = 650.
What is arithmetic series?
A series of numbers called an arithmetic progression or sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Here, we have
Given: 1+3+5+7+…+49 =625
We have to find the value of 2+4+6+8+…+50.
Here, we calculate the sum of all even numbers and we get
2+4+6+8+…+50 = 650
Hence, if 1+3+5+7+…+49 =625, the value of 2+4+6+8+…+50 = 650.
To learn more about the arithmetic series from the given link
https://brainly.com/question/6561461
#SPJ1
A local community college has announced that they will be raising tuition cost from $43 per unit to $53 per unit. Determine the percent increase in tuition cost. Round your answer to the nearest tenth of a percent
Answers
Answer:
23.3%
Explanation:
• The initial tuition = $43
,• New Tuition = $53
First, determine the change in the tuition.
\(\text{Increase}=53-43=10\)Next, divide the result by the initial tuition and multiply by 100.
\(\begin{gathered} \text{Percent Increase}=\frac{10}{43}\times100 \\ =23.256\% \\ \approx23.3\% \end{gathered}\)The percent increase in tuition cost is 23.3% (rounded to the nearest tenth of a percent).
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of three and one fifth ft.
Determine the volume, V, using the formula V = lwh.
827.6 cubic ft
777.6 cubic ft
77.76 cubic ft
35.45 cubic ft
Answers
777.6 cubic ft is the volume of the shed that Lorie ordered to hold her gardening supplies.
What is the volume of the shed?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is the width, h is height and l is length
Given the data in the question;
Length of the shed l = 20.25 ftWidth of the shed w = 12 ftHeight of the shed h = 3 1/5 ftTo determine the volume of the shed, plug the given values into the above formula and simplify.
V = w × h × l
V = 12 ft × 3 1/5 ft × 20.25 ft
V = 12 ft × 3.2 ft × 20.25 ft
V = 12 ft × 64.8 ft²
V = 777.6 ft³
Therefore, the volume of the shed is 777.6 ft³.
Option B is the correct answer.
Learn more about volume of rectangular prism here: https://brainly.com/question/9796090
#SPJ1
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answers
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
what is the next two terms of the sequence 12,17,22,27
Answers
Answer:
32 and 37
Step-by-step explanation:
Because the difference between the values is 5.
mark me brianliest if you can! :)
quiero SAver cual es la Respuesta
Answers
Answer: no espanol
Step-by-step explanation:
Uno: JL y LK
please helpppppp
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Greg bought a regular-sized box of his favorite cereal. A regular-sized box contains 12 servings.
Part A: If Greg eats 1 1/2 servings for breakfast every day, how many breakfasts can Greg eat from 1 box? Show all work.
Part B: The regular-sized box of cereal costs $4.29. How much does 1 breakfast from a regular-sized box of cereal cost Greg? Round to the nearest hundredth. Show all work.
Part C: If Greg purchased the family-sized box of cereal that contains 18 servings, how many more breakfasts could Greg eat from 1 box? Show all work.
Answers
a. Greg can eat 8 breakfasts from 1 box.
b. The cost of 1 breakfast from a regular-sized box is $34.32.
c. Greg will enjoy 4 breakfast more.
How to calculate the fraction?a. A regular-sized box contains 12 servings. If Greg eats 1 1/2 servings for breakfast every day, the number of breakfasts that Greg can eat from 1 box will be:
= 12 ÷ 1 1/2
= 12 ÷ 1.5
= 8
b. Since the regular-sized box of cereal costs $4.29. The cost of 1 breakfast from a regular-sized box of cereal cost Greg will be:
= 8 × $4.29
= $34.32
c. If Greg purchased the family-sized box of cereal that contains 18 servings, the number of breakfasts will be:
= 18 ÷ 1.5
= 12 breakfast
The difference will be:
= 12 - 8
= 4 breakfast more.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answers
Answer:
-26
Step-by-step explanation:
Suppose price changes of a particular commodity are independent and identically distributed random variables with µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes. Use the Central Limit Theorem to compute the probability that the average price change of this sample is less than 1.0.
Answers
Answer:
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes.
So the standard deviation is:
\(\sigma = \sqrt{\sigma^2} = \sqrt{0.16} = 0.4\)
Sample of 36:
This means that \(s = \frac{0.4}{\sqrt{36}} = 0.0667\)
Probability that the average price change of this sample is less than 1.0.
This is the pvalue of Z when X = 1. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1 - 1.1}{0.0667}\)
\(Z = -1.5\)
\(Z = -1.5\) has a pvalue of 0.0668
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Can somebody please help me out?
Answers
Answer:
A
Step-by-step explanation:
You can't square a negative number, so the number must be non real.
Problem Situation: Ike has $126 in his bank account. He gets $20 for his birthday.
He also has a part-time job that pays $8 per hour. How many hours will he need to
work to have $250 in his bank account?
.
Answers
Answer: 13h
Step-by-step explanation:
126 + 20 = 146
250 - 146 = 104
104 : 8 = 13
He will need 13h
Answer:
13.5
126 plus 20 is $146
250 minus 146 is 108
108 divided by 8 is 13.5
Expand 4(6)to the 8th power
4(6)^8
Answers
The expanded form of the given exponential equation is 6718464
Exponential equationsExponential equations are inverse of logarithmic equations. The standard exponential equation is expressed as. y = ab^x
where
a is the base
x is the exponent
Given the expression below;
a = 4(6)^8
Expand to have:
a = 4 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6
a = 4 * 1679616
a = 6718464
Hence the expanded form of the given exponential equation is 6718464
Learn more on exponential equation here: https://brainly.com/question/12940982
#SPJ1
Question 2 help please
Answers
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
In any triangle, the sum of the measures of its interior angle is 180°In the isosceles triangle, the two base angles are equal in measures∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Celik, S. (2011). A media comparison study on first aid instruction. Health Education Journal. 72(1), 95-101
Researchers investigated student achievement in online and in-person delivery of first aid instruction. The content was the same in both courses and both courses were taught by the same instructor. A pre and post test was conducted to measure achievement.
Which of the following tests would be used to measure the achievement of the students before and after the class ?
a. Two-sample t-test for dependent samples
b. Two-sample t-test for independent samples
c. One-sample t-test
d. One-sample z-test
Answers
Answer:
The answer is "Option a".
Step-by-step explanation:
In the given scenario, The appropriate test for the teaching profession's accomplishment pre and post-class would be the two-sample t-test with dependent samples, that's why choice "a" is correct.
100 POINTS+BRAINLEIST Which names a type of mathmatic ratio notation?
percentage notation
decimal notation
equation notation
fraction notation
Answers
Answer:
decimal notation
Step-by-step explanation:
thanks for the question
Answer:
Great question! It is decimal notation.
Distribute this expression: ab(5c+9)
Answers
Answer:
9b+5cb
Step-by-step explanation: