Answers
Answer:
Top: y = x
Bottom: y = 0.8x - 3.2
Step-by-step explanation:
I can see the question is asking to write the equation in Slope-Intercept form.
Slope-Intercept Form:
y = mx+b
M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.
Because these lines are parallel, we know they have the same form.
Lets look at the top line. When x increases by one, how much does y increase by?
1
What is the y value of when the line's x-value is 0?
0
Now, we have,
y = 1x + 0
Because adding 0 keeps the equation the same, we can remove it.
y = 1x
Because multiplying a term by 1 leaves it the same, we can remove one.
y = x
Now, for the bottom line.
How much does y increase by when x increases by 1? Because the slope will be a fraction and is not easy to see, I will use the slope formula.
Slope Formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the slope, take any pair of points on the line and plug them in.
I'll use:
(0,-3.2)
(4,0)
Plug the y-values (the latter number, or the height of the point) into the formula. Do the same with the x-values. keep in mind it does not matter what y-value you plug in. For example, for [tex]y_2[/tex] and [tex]y_1[/tex] you can plug in -3.2 and 0 or vice versa. If you make [tex]y_2[/tex] -3.2, then make [tex]x_{2}[/tex] 0.
[tex]\frac{-3.2-0}{0-4}[/tex]
Simplify.
[tex]\frac{-3.2}{-4}[/tex]
Because a negative number multiplied or divided by another negative number is always a positive number, remove the negative signs.
[tex]\frac{3.2}{4}[/tex]
Divide.
3.2/4 = 0.8
Now we have m, the slope on the 2nd line, 0.8
y = 0.8x + b
What is the y-value of the line when the line has the x-value of 0? On the graph, it says -3.2.
y = 0.8x - 3.2
Related Questions
A sign company is building a sign with the dimensions shown.
What is the area of the sign?
Answers
Answer:272 square feet
Step-by-step explanation:
On average, Logan drinks 3/4 of a 12-ounce glass of water in 1 3/4 hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
Answer:
4.5 ounce or 3/4 of 6-ounce glass.
Step-by-step explanation:
I don't know -_- I'm too lazy for this.
. Julia is buying vegetables at a
farmer's market. One of the stands is
selling zucchini for $1.25 per pound.
The total weight of the zucchini she
has selected is 3.8 pounds. How
much will she pay for
Answers
Answer:
$4.75
Step-by-step explanation:
We can use a simple multiplication statement to solve this problem.
3.8 × 1.25 = 4.75
The triangles in the figure below are similar.
image b125a080d0e9444e9eebf9b6644403df
Which proportion is correct?
A.
x20=96
x
20
=
9
6
B.
x20=915
x
20
=
9
15
C.
2015=x6
20
15
=
x
6
D.
x20−x=156
x
20
−
x
=
15
6
Answers
The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.
What are Similar Triangles?For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.
The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.
Therefore, we will have the following proportion if we intend to find the value of x in the image given:
x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.
Therefore, the correct proportion is:
x/20 = 9/15.
Learn more about similar triangles on:
https://brainly.com/question/21874653
#SPJ1
Peter has $ 40 to spend on rides at the state fair. Each ride costs $3. Find the recursiveand the explicit function.Recursive Function:Explicit Function:
Answers
Recursive function: f(n) = f(n-1) + 3
Explicit function: f(n) = 3n
Explanations:Amount of money Peter has to spend = $40
Cost of each ride = $3
Let the number of rides be represented as n
The recursive function is a function in which each term always depends on the preceding terms. In this case, Peter pays $3 after every ride. This means that he adds 3 to every preceding amount that he spends on the rides.
The recursive function is therefore:
f(n) = f(n-1) + 3
The explicit function: This function is always expressed in a clear form (i.e. explicitly)
3 x number of rides = Amount spent
The explicit function is therefore:
f(n) = 3n
The softball team at west river middle school needs New Jersey’s and new hats . A Jersey costs $40 , and a hat costs $15 . The softball team has a total of $1,200 to spend . Let x equal the number of jersey’s the team orders and y equal the number of hats the team orders. Which inequality models this situation
Answers
The inequality model will be 40*x + 15*y ≤ $1200.
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
The given information, cost of a Jersy = $40
Cost of Hat = $15
The softball team has a total of $1,200 to spend.
Let x equal the number of jersey’s the team orders and y equal the number of hats the team orders.
So the total money will be spend within the budget will be
40*x + 15*y ≤ $1200
Hence, the inequality model will be 40*x + 15*y ≤ $1200.
Learn more about inequality , by the following link
https://brainly.com/question/11613554
#SPJ1
PLEASE HELP I GOT LIKE 15 MINUTES LEFT
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
Answers
Answer:
133π square centimeters
Step-by-step explanation:
Area of larger circle:
[tex]\pi( {13}^{2} ) = 169\pi[/tex]
Area of smaller circle;
[tex] \pi( {6}^{2} ) = 36\pi[/tex]
Area of shaded region:
[tex]169\pi - 36\pi = 133\pi[/tex]
what is the best approximation of √39 to the nearest tenths ?
Answers
Answer:
6.24
Step-by-step explanation:
4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Answers
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
There are 15 cousins playing a game. They need to divide evenly into teams. Draw a model to show one way they can split into teams. Then decide if 15 is a prime number or a composite number. Show your work. Answer 15 is a number.
Answers
Answer:
15 is a composite number
Explanation:
We can form 3 groups of 5 people because:
15 = 3 x 5
So, the model that shows this way to split the teams is:
If we can divide 15 into teams, we can say that 15 is a composite number.
A prime number is a number that is only divisible by 1 and by itself. Since 15 is divisible by 3 because we form 3 teams, we get that 15 is not prime, so it is composite.
find the error & explain why it is wrong: jon had to solve the equation below. what did he do wrong?
Answers
Answer:
Step B is incorrect because the factors of [tex]x^2 + 4x + 3[/tex] should be:
[tex](x + 3)(x + 1)[/tex]
Which statement is true regarding the graphed functions? 8 6 4 -6-5-4-3-2 436 - -6 1979 - 2 -127 (0) = g(0) 1-2) = g(-2) f(0) = g(-2)
Answers
Let's check the choices one by one.
From the figure,
Choice A :
f(0)=g(0)
f(0) = -2
g(0) = -2
So f(0) = g(0) is true!
Choice B :
f(-2) = g(-2)
f(-2) = 4
g(-2) = -4
So f(-2) = g(-2) is false!
Choice C:
f(0) = g(-2)
f(0) = -2
g(-2) = -4
So f(0) = g(-2) is false!
The correct answer is Choice A. f(0) = g(0)
Write the coordinate point for the vertex of this parabola: 1,2 x=
Answers
Given:
[tex]x=-\frac{1}{8}y^2[/tex]Vertex of the parabola is (0,0).
What is the slope of this line?
A. - 1/3
B. 1/3
C. 2/3
D. - 2/3
Answers
Answer:
2/3
Step-by-step explanation:
rise/run=slope
2 up and 3 to the right to it is 2/3
Draw a tree diagram to solve the following question.A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from thebag. Determine the probability that at least one is red.
Answers
Step 1. There are 5 red marbles and 3 blue marbles, 8 marbles in total:
Step 2. Two marbles are drawn simultaneously, which means that there is no replacing of the marbles.
To make the tree diagram with the probabilities for each marble, remember the probability formula:
[tex]P=\frac{\text{Number of favourable outcomes}}{total\text{ numer of outcomes}}[/tex]The three will look as follows:
For the first marble, the probability of getting a red one is 5/8 because there are 5 red marbles out of a total of 8, and similar to the first one is blue.
For the second marble, we consider that the total number of marbles is now 7.
Step 3. To find the probability of each combination, we multiply the values of each branch:
The results of the multiplications is:
The ones that have at least one red marble are the first three branches: red-red, red-blue, and blue-red.
To find the probability of at least one red marble, we add the results of the first three branches:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}[/tex]The result is:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}=\frac{50}{56}[/tex]The probability is 50/56.
The fraction can be simplified to:
[tex]\frac{50}{56}=\frac{25}{28}[/tex]The probability simplified is 25/28.
Answer:
[tex]\frac{25}{28}[/tex]help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
Answers
The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
In the question ,
it is given that
the base area of the large chocolate bar is 59.85 square foot .
let the length of the chocolate bar be "l"
and the breadth of the chocolate bar be "b"
given that the length is 0.9 foot shorter than twice its width , means
l = 2w - 0.9
we have the area of rectangle = length [tex]\times[/tex] width
Substituting the values of length , width and area we get
59.85 = (2w - 0.9 ) * w
59.85 = 2w² - 0.9w
2w² -0.9w -59.85 = 0
On solving the quadratic equation ,
we get w = -5.25 and w = 5.7
width cannot be in negative , so, the width is 5.7 foot .
and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5
Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
Learn more about Area here
https://brainly.com/question/11317901
#SPJ1
Mrs. Cyan paid $105 for flower boxes. Each
flower box cost $7. How many flower boxes
did she buy?
Answers
The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x
Answers
Step-by-step explanation:
isoceles means that the triangle has 2 equally long legs.
the perimeter is the sum of all sides.
so,
19 = x + (2x - 3)×2 = x + 4x - 6 = 5x - 6
25 = 5x
x = 5
Highlighter
Clear
At the grocery store, three brands of raisin bran are sold. For Brand A, the equation y = 0.18x represents
the cost, y, of x ounces of raisin bran. For Brand B, the table shows the amounts paid for different
amounts of raisin bran. For Brand C, the graph shows the relationships between the total cost, y, and the
number of ounces of raisin bran, x.
Amount of
Raisin Bran
(ounces)
0
10
24
Brand B
27
Total Cost
(dollars)
0
1.60
3.84
4.32
Total Cost (dollars)
4
Brand C
Answers
Answer: brand A 0.21 0.18 brand B brand c 0.16
Step-by-step explanation:
hello I seem to be having issues on this problem
Answers
Okay, here we have this:
Considering the provided data set, we are going to create the corresponding histogram, so we obtain the following:
The above histogram corresponds to the one requested in the exercise.
4) =√7√ and =√63√ where and are poitive integer. Given that :=1:9 find, in it implet form, the ratio :
Answers
The ratio of a and b in the simplest form is a:b = 1:3 .
In the question ,
it is given that ,
a = √7 + √c and
b = √63 + √d
and the ratio of c and d is given as c : d = 1 : 9 , which means c/d = 1/9
on cross multiplication , we get
d = 9c
Substituting d=9c in the equation b = √63 + √d ,
we get ,
b = √63 + √9c
b = 3√7 + 3√c
taking 3 common , we get
b = 3(√7 + √c)
b = 3a ......because a = √7 + √c .
b/a = 3/1
So, a/b = 1/3
the ratio is a:b = 1:3 .
Therefore , The ratio of a and b in the simplest form is a:b = 1:3 .
The given question is incomplete , the complete question is
If a = √7 + √c and b = √63 + √d , where c and d are positive integers. Given that c : d = 1 : 9 . find, in its simplest form, the ratio a : b ?
Learn more about Ratio here
https://brainly.com/question/18077248
#SPJ4
true or false: the student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small.
Answers
False. The student t distribution may be used to construct a confidence interval for the mean of a population that is normally distributed, so long as the sample size is small.
The student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small. The student t distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. The student t distribution is also used to construct confidence intervals for the population mean.
Learn more about standard deviation at : https://brainly.com/question/16555520
#SPJ4
Find the value of √√441 + √16 + √4
Answers
Answer:
Your answer would be 10.582575695, the rounded answer would be 10.60.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Find the equation of the line that passes through (−3,4) and is perpendicular to the line passing through (−5,1/3) and (−3,2/5). Write the equation in slope-intercept form.
Answers
Answer:
Step-by-step explanation: 76=54
3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line.
Answers
Points (6,-11) and (-2,9)
then
a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2
b) equation of line y = mx + b
find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4
then equation is
y= (-5/2)x + 4
c) y-intercept of this line is
x= 0 , y= 4
d) graph of this line
The activity preference of teachers and librarians is given in the table.
Teachers Librarians
Movies 3 12
Books 4 9
Plays 2 15
Based on the information in the table, which of the following is an example of independent events.
P(librarian and chooses book)
P(librarian and chooses movie)
P(teacher and chooses play)
P(teacher and chooses book)
Answers
The activity preference of teachers and librarians is given in the table. P(teacher and chooses play) is an example of an independent event.
What is an independent event?An independent event is an activity whose occurrence does not depend on other events.For example, if a coin is tossed and the result is heads, tossing the coin again will result in tails. In both cases, the occurrence of both events are independent of each other. This is one type of activity in probability. Learn here the full definition of independent events and how they differ from Venn diagrams, examples, and mutually exclusive activity .In probability theory, the set of outcomes of an experiment is called an event. There are different types of events, including independent events, dependent events, and mutually exclusive events.A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another activity B.To learn more about independent event from the given link :
https://brainly.com/question/13488890
#SPJ1
What is the Area of a circle with the radius of 5
Answers
Answer:
Answer is 78.5
Step-by-step explanation:
the formula for the Area of a cirlcle is [tex]\pi[/tex][tex]r^{2}[/tex]
using it:
area = 3.14 * 5^2
area = 78.5
-4(x-1) I forgot how to simplify it
Answers
Answer:
Step-by-step explanation:
-4(x-1)
distribute the -4
-4x + 4
Hello I need help on this.Question: Calculate the volume of this shape. Leave your answer in terms of Pi.
Answers
Hello there. To solve this question, we'll have to remember how to calculate the volume of a cylinder, given its height and diameter of the base.
Given the following cylinder:
Its volume can be calculated by the formula:
[tex]V=A_b\cdot h[/tex]in which:
[tex]A_b=\pi\cdot\frac{D^2}{4}[/tex]Is the area of the base given the diameter D
Plugging in this, we have:
[tex]V=\pi\cdot\frac{D^2}{4}\cdot h[/tex]Using the values given by the question, we have:
D = 14 cm
h = 7 cm
Therefore
[tex]V=\pi\cdot\frac{14^2}{4}\cdot7[/tex]Calculate the square and simplify the fraction
[tex]\begin{gathered} V=\pi\cdot\frac{196}{4}\cdot7 \\ V=\pi\cdot49\cdot7 \end{gathered}[/tex]Multiply the numbers
[tex]V=343\pi cm^2[/tex]Find the values of x and y to make the following numbers equal
Answers
If all numbers has to be equal, that means:
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \frac{y}{5}=-0.2 \end{gathered}[/tex]Let's solve the value of x and y that makes the equation above equal. Let's start with x.
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \text{Cross multiply.} \\ -2=-0.2x \\ \text{Divide -0.2 on both sides.} \\ \frac{-2}{-0.2}=\frac{-0.2x}{-0.2} \\ 10=x \end{gathered}[/tex]The value of x is 10.
Let's solve for y.
[tex]\begin{gathered} \frac{y}{5}=-0.2 \\ \text{Cross multiply.} \\ y=-1 \end{gathered}[/tex]The value of y is -1.