Answers
Answer: y = \(\frac{1}{2}\) x + 2
Step-by-step explanation:
We see the y - intercept is 2, since the function crosses over the y - axis at 2. Notice that the slope of the function is 1/2.
Remember: \(\frac{rise}{run}\) = slope.
Now, write what we found in slope intercept form: y = mx + b
y = \(\frac{1}{2}\) x + 2
That's it.
The equation of blue line is y= 1/2x+2.
What is equation of line?The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
As from the graph we can see that the y - intercept is 2.
Also the function crosses y - axis at 2.
So, slope of the function is 1/2.
Now using
slope= rise/ run
1/2= y/x
y= 1/2x
Now, slope intercept form: y = mx + b
y= 1/2x+2
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Related Questions
Integers 12 miles below sea level
Answers
Answer:
-12
Step-by-step explanation:
Below Sea Level
The Term "BELOW"Sea Level means the term "BALACED"Below would translate to negative.
So the integer would be -12 (miles).
What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters?
Answers
Answer:
the area of the rectangle is 35.25 square meters.
Step-by-step explanation:
To find the area of a rectangle, we multiply the length by the width.
First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:
4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4
7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6
Now we can multiply the length and width:
Area = (18/4) * (47/6)
Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)
Area = (9 * 47) / (2 * 6)
Area = 423/12
Area = 35.25
Therefore, the area of the rectangle is 35.25 square meters.
What is an equation of the line that passes through the point (-8,0)(−8,0) and is parallel to the line x+2y=14x+2y=14?
Answers
First, we need to find the slope of the line x + 2y = 14. We can rearrange this equation into slope-intercept form: y = -(1/2)x + 7. The slope of the line is -1/2.
Since the line we're looking for is parallel to x + 2y = 14, it must have the same slope, which is -1/2. We can now use the point-slope form to write the equation of the line that passes through (-8, 0) and has slope -1/2: y - 0 = -1/2 (x - (-8)). Simplifying, we get: y = -1/2x + 4.
So, an equation of the line that passes through the point (-8,0) and is parallel to the line x + 2y = 14 is y = -1/2x + 4.
at the gift shop they sell small greeting cards .and large greeting cards the cost of a small greeting card is $1.65 and the cost of a large green card is $4.85 how much would it cost to get 2 small greeting cards and 4 large greeting cards ?how much would it cost to get x small greeting cards and y large greeting cards ?
Answers
A gift sop sells small and large greeting cards
A small greeting card is sold for $1.65
A large greeting card is sold for $4.85
The cost of getting 2 small greeting cards and 4 large greeting cards can be calculated as follows
1 small greeting card = $1.65
Hence, 2 small greeting cards = 2 x $1.65
Points
What conclusion can Ms. Andrews make about the performance of her first- and second-period
classes?
A The first-period class had a higher median score than the second-period class,
B. The second-period class scores had a higher mean than the first-period class scores,
The first-period class scores had a greater range than the second-period class scores,
The second-period class scores had a greater range than the first-period class scores,
Sign out
US
10:29
Answers
Answer:
Step-by-step explanation:
Itd be a
URGENT PLEASE HELP
A bake sale is organized to raise funds for a school club on Valentine's Day. The bake sale offers two types of
baked goods: cupcakes and cookies. Each cupcake costs $0.50 to make and can be sold for $2.00, while each
cookie costs $0.30 to make and can be sold for $1.50. The bake sale has a limited budget of $150 to purchase
ingredients and a maximum of 300 baked goods that can be sold. Determine how many of each good needs to be
baked in order to maximize the revenue given the constraints.
Answers
Answer:
Solution:
Let x = number of cupcakes and y = number of cookies
The objective is to maximize revenue, which is given by the equation:
Revenue = 2x + 1.5y
The constraints are:
0.5x + 0.3y ≤ 150 (budget)
x + y ≤ 300 (maximum number of baked goods)
x ≥ 0, y ≥ 0 (non-negativity)
Using the simplex method, the optimal solution is x = 200 and y = 100. This means that 200 cupcakes and 100 cookies should be baked in order to maximize the revenue given the constraints.
Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a chew from the bag, records the result, and returns the chew to the bag. Luis performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A apple chew was selected 14 times.
A peach chew was selected 15 times.
Based on these results, express the probability that the next chew Luis removes from the bag will be a flavor other than strawberry as a fraction in simplest form.
Answers
The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
What is Probability?The probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is
\(\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}\)
Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
If Nancy is two years older than Mark and the sum of their ages is 28, Mark will be 13 years old.
False
True
Answers
Answer:
I think its false
Step-by-step explanation:
Answer: True i think
Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.
The ratio of pens to pencils that Katy has on his desk is 6:5. If Katy has 15 pencils on his desk then how many pens does he have?
Answers
Answer:
18
Step-by-step explanation:
Answer:
18 pens
Step-by-step explanation:
6:5 so
5x3=15
6x3=18
Your town has a park at points (-9,-9), (-3,-9) and (-6,-5). What is the area of the park?
Answers
The area of the park is 12 square units.
To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.
The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:
A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|
In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:
A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|
Simplifying further:
A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|
A = 1/2 × |150 - 126|
A = 1/2 × |24|
A = 12
Therefore, the area of the park is 12 square units.
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Answer:
12 square units---------------------
Plot the given vertices and connect.
See attached.
Then add the height CD.
The base is AB, with the length:
AB = - 3 - (- 9) = -3 + 9 = 6The height is CD, with length:
CD = -5 - (- 9) = - 5 + 9 = 4Find the area using equation:
A = bh/2A = 6*4/2A = 12
5 = v + 30
help please ill give brainlyest thing
Answers
Answer:
V= -25
Step-by-step explanation:
5 = V+30
-30 - 30
----------------------
-25 = V
so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel
Hope this helped u sorry if incorrect and welcome to Brainly
¿Es 42.497.365 divisible por 6?
Answers
No, 42,497,365 is not divisible by 6.
Hope it helps you! :)
\(GraceRosalia\)
Mrs. Morton has a special reward system for her class when all her students behave well she rewards them by putting three marbles into a marble jar. When the jar is 100 or more marbles the students have a party. Right now the jar has 24 marbles. Write an inequality to determine the number of additional times Mrs. Morgan could reward the class in order for the students to have a party. Will the students have a party if Mrs. Morton rewards them 31 additional times? Choose one answer.
Answers
ANSWER
\(\begin{gathered} 3x+24\ge100 \\ \\ \text{ Yes} \end{gathered}\)EXPLANATION
Let the number of additional times be x.
Every time the students are well behaved, Mrs.Morton puts 3 marbles into the jar. This implies that if they behave x more times, she will put 3x marbles into the jar.
Right now there are already 24 marbles in the jar, so the total number of marbles after x additional times will be:
\(3x+24\)There must be 100 or more marbles in the jar in order for them to have a party. This implies that the inequality that represents the number of additional times that Mrs. Morton could reward them is:
\(3x+24\ge100\)That is the inequality.
Let us now solve the inequality to find the number of times:
\(\begin{gathered} 3x+24\ge100 \\ \\ 3x\ge100-24 \\ \\ 3x\ge76 \\ \\ x\ge\frac{76}{3} \\ \\ x\ge25.33 \end{gathered}\)Since the number of additional times must be an integer, then, Mrs. Morton must reward them 26 more times for them to be able to have a party.
Since 31 is greater than 26, then, the students will have a party if Mrs. Morton rewards them 31 additional times.
The answer is Yes.
Gloria has $ 4.50 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?
Answers
ANSWER:
60 nickels
15 dimes
STEP-BY-STEP EXPLANATION:
We can determine the number of coins of each type by establishing the following system of equations with the help of the statement:
Let x be the number of dimes and let 4x be the number of nickels.
\(0.05\cdot4x+0.10\cdot x=4.5\)Now we solve for x to find the number of dimes, like this:
\(\begin{gathered} 0.2x+0.1x=4.5 \\ 0.3x=4.5 \\ x=\frac{4.5}{0.3} \\ x=15 \\ \text{ and for nickels:} \\ 4x=4\cdot15=60 \end{gathered}\)Which means that Gloria has 60 nickels and 15 dimes
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Triangle DAC is congruent to triangle BCA by SAS congruence theorem.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, AD = BC and AD || BC.
AD = BC (Given)
AD || BC (Given)
AC = AC (Reflexive property)
∠DAC=∠BCA (Interior alternate angles)
By SAS congruence theorem, ΔDAC≅ΔBCA
By CPCT, AB=CD
Therefore, triangle DAC is congruent to triangle BCA by SAS congruence theorem.
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Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg, end text of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $.015 per kilogram, and she wants to spend 12 dollars total.
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys the intended amount of corn.
Explanation: Point E is on line a, so it represents a scenario where she spends a 12 dollar sign, Also, point E is on line b, so it represents a scenario where she buys 50kg end text of corn.
Answers
Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.
How to solve for the intended amount of corn from the graphWe can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.
This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.
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Solve the following system of equations using the substitution method.
–6x + 2y = 8
y = 3x + 4
Answers
Answer:
Infinite solutions or some courses say all real numbers
Step-by-step explanation:
-6x + 2(3x + 4) = 8 substitute 3x + 4 for y
-6x + 6x + 8 = 8 Distribute the 2
8=8 The x's cancel out leaving a true statement. This means that there are infinite solutions.
A triangle has sides with lengths 8, 15, and 17.
a. Verify this is a Pythagorean triple.
Type your response in the space below.
b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.
Type the answers in the boxes below.
Answers
The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.
What is Pythagoras TripleA Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.
In this problem, we can we can check if the values are for a right angle triangle.
Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.
c = hypothenuse = 17a = leg = 15b = 8c² = a² + b²
17² = 15² + 8²
289 = 225 + 64
289 = 289
From the calculation above, the values of is a Pythagorean triple.
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Which of the following equations have no solutions?
Choose all answers that apply:
5x + 5 = -4.0-5
4x + 5 = -435
- 4x + 5 = - 48 - 4
- 4x + 5 = – 4x – 5
Answers
Answer:
Answer D
Step-by-step explanation:
First equation
5x + 5 = (-4) - 5
5x + 5 = -9
5x = -14
x = -2.8
Solvable
Second equation
4x + 5 = -435
4x = -440
x = -110
Solvable
Third equation
-4x + 5 = (-48) - 4
-4x + 5 = -52
-4x = -57
4x = 57
x = 14.25
Solvable
Fourth equation
-4x + 5 = -4x - 5
5 = -5
Not solvable
QUESTIONS IN PICTURE/ATTACHMENT:
Answers
The domain of the question is expressed as; 0 ≤ x ≤ 4
The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36
How to find the domain and range of the graph?
The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.
Now, we are told that the insect population increases by 20% each month from May 1 to September 1.
The function that represents the insect population after x months is;
f(x) = 100(1.2)ˣ
Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4
f(0) = 100(1.2)⁰
f(0) = 100
f(4) = 100(1.2)⁴
f(4) = 207.36
100 ≤ f(x) ≤ 207.36
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Melanie placed 5 packs of fruit squishes in a picnic basket. Find the
weight (in ounces) of all the packs, if each pack weighs 15.75 ounces
Answers
Answer:
Your answer is 78.75 oz.
Step-by-step explanation:
15.75 * 5 = 78.5 oz.
Hope this helps.
Answer:
78.75 oz
Step-by-step explanation:
okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5 (15.75 to represent what each pack weigh) ( and 5 to represent each pack) to get the answer of 78.75 in total.
hope i helped
The slope of the line below is -4. Which of the following is the iS point-slope
form of the line?
\ (2, -8)
O A. y+ 8 = -4(x-2)
O B. y+ 2 =-4(x-8)
• C. y-8 = -4(x+ 2)
• D. y- 2=-4(x+ 8)
Answers
Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.
What does "point-slope form of the line" refer to?A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).
The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.
Given,
the slope of line = - 4 and point = (2,-8)
The equation of line = y - yo = m (x - xo)
where m = slope and x,y are coordinates
y + 8 = - 4 (x - 2)
y + 8 = - 4x + 8
y = - 4x
Therefore, the correct answer is option A, y+ 8 = -4(x-2)
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Grant's Golf Carts ordered golf carts from a manufacturer. The list price of the golf carts was $154,248 and the bill came to $121,965. Find the percent of the trade discount.17.8%19.4%20.9%22.3%None of these choices are correct.
Answers
What is the product of StartFraction 5 Over 11 EndFraction and Three-fourths?
StartFraction 8 Over 44 EndFraction
StartFraction 15 Over 44 EndFraction
StartFraction 8 Over 15 EndFraction
StartFraction 20 Over 33 EndFraction
Answers
Answer:
5/11 x 3/4 is 15/44
Step-by-step explanation:
You're welcome :)
Answer:
B
Step-by-step explanation:
use the quadratic formula to solve the equation -x2 + 7x = 5
Answers
Answer:
\(x=\frac{7}{2}\pm\frac{\sqrt{29}}{2}\)
Step-by-step explanation:
\(-x^2+7x=5\)
\(-x^2+7x-5=0\)
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
\(x=\frac{-7\pm\sqrt{7^2-4(-1)(-5)}}{2(-1)}\)
\(x=\frac{-7\pm\sqrt{49-20}}{-2}\)
\(x=\frac{-7\pm\sqrt{29}}{-2}\)
\(x=\frac{7}{2}\pm\frac{\sqrt{29}}{2}\)
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answers
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you
Seven more than twice a number is equal to 21
Answers
Answer:
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Do the steps in reverse
Subtract 7 from 21
14
Then divide by 2
7
Hope this helps :)
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What is the area of sector AOM?
Answers
The area of the sector AOM after calculating is a. 10 square feet.
The area of a sector is the space enclosed by a circle's sector. A pizza slice, for example, is an example of a sector that represents a fraction of a pizza.
There are two kinds of sectors: minor and major. A minor sector is one that is smaller than a semi-circle, whereas a major sector is one that is larger than a semi-circle.
We have an circle of radius 6ft and we have ∅ as 32°. We will apply the formula of the area of sector and put the values in it to find the answer.
Area of sector = ∅ / 360 ° × πr²
= 32/360 × 22/7 × 6²
= 8/90 × 22/7 × 36
= 8/10 × 22/7 × 4
= 4/5 × 22/7 × 4
= 352 / 35
=10.057 sq ft. = 10 sq. ft
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There are 81 people protesting the destruction of the rain forests. There are 36 males, 23 of whom are students, and 18 female nonstudents. How many female students are protesting?
Answers
Answer:
27
Step-by-step explanation:
Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)
Given that there are 36 males then number of females
= 81 - 36
= 45
If there are 18 females non students then the number of females protesting that are students
= 45 - 18
= 27