Answers
Answer:
A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).
B. Slope is found by [tex]\frac{rise}{run}[/tex], from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1, [tex]\frac{4}{1} = 4[/tex] giving us a slope of 4.
C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).
D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10
E. The equation is not proportional because the b value is 10 rather than 0.
Answer:
A. The graph is not proportional. I know this because the line doesn't go through the origin (0, 0). B. The slope (m) of the graph is 4. C. The y-intercept is 10. D. The equation in slope-intercept form is y=4x+10. E. The equation is not proportional. I know this because the line began from 10.
Step-by-step explanation:
The graph will be proportional when the line goes through the origin, (0, 0). The equation [tex]m=\frac{y2-x2}{y1-x1}[/tex] is used to solve for the slope (m). Pick any given points from the graph that's on the line to solve for slope (m). (0, 10) and (1, 14) makes it easier to solve for "m".
[tex]m=\frac{14-10}{1-0} =\frac{4}{1} =4[/tex] (4 is the slope)
Substitute x and y with any point given to find the y-intercept:
[tex]14=4(1)+b[/tex]
[tex]14=4+b[/tex]
[tex]-4[/tex] [tex]-4[/tex]
----------------
[tex]10=b[/tex]
*Note that the y-intercept is always (0, any number)
Example: (0, -24)
Once you know what the slope and the y-intercept are, you'll have the equation set as y=4x+10.
Related Questions
173 The midpoint between x and a is m. What is x ?
Answers
If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].
Hope this helps.
What is -456 divided by -18
Answers
Answer:
25.3333333
Step-by-step explanation:
Answer: 25.33
Step-by-step explanation:
First yo divide -456 / -18
Last is the result (what you get): 25.33
Find the value of x.
Answers
Answer:
x=6,24
Step-by-step explanation:
Use the Theorem of Pythagoras.
H^2= S^2+ S^2
8^2= 5^2 + S^2
64-25 = S^2
39 = S^2
6,24= S
S is x therefore x = 6,24
I need help please help
Answers
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
Here is a picture of a cube and the net of this cube what is the surface area of this cube enter your answer in the box
Answers
Answer:
Step-by-step explanation:
a = 12 mm
Surface area of cube = 6a²
= 6 * 12 * 12
= 864 cubic mm
Help Please!!!!!!!!!!!!
Graph x>4.
Answers
Answer:
graph
Step-by-step explanation:
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?
Answers
Answer:5 * (1/2 * 6 * 14)= x
Step-by-step explanation: :D
Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?
Answers
Answer:
Step-by-step explanation:
14%
Four times the sum n plus 10 is 34 what is the value of n?
Answers
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
Answer: 4n+40=34
Step-by-step explanation:
I got it right
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days
Answers
Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
A trapezoid has a base of 5cm, a height of 4cm. What is the area?
Answers
Answer:
area = 16 cm²
Step-by-step explanation:
area of rectangle = 3x4 = 12
area of triangle = 2x4x0.5 = 4
12 + 4 = 16 cm²
another way is :
1/2(b1+b2)(h) = area
1/2(3+5)(4) = 16 cm²
10=2x+12
What’s the steps
Answers
Answer: i got 10
Step-by-step explanation:
what ud o is 2x+12 let me see
-2x = 12 - 10
-2x=2
Divide both sides by -2
X=-1
what is 2/3 + 1/4 as a fraction
Answers
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
Both of them added together will be 11/12
Explanation:
Because they both have different denominators they need to be changed so they are the same. So we find a factor of both 3 and 4 which an example can be 12. We times them __(something) many times to get to 12.
Plzz help meee! I am timed
Answers
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Answers
Answer:
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Step-by-step explanation:
To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.
The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.
The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.
The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).
However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.
50! POINTS! HELP QUICK!
Which of the following is the equation for the graph shown?
y squared over 4 minus x squared over 12 equals 1
y squared over 16 minus x squared over 12 equals 1
x squared over 4 minus y squared over 12 equals 1
x squared over 16 minus y squared over 12 equals 1
50 points!
Answers
roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?
Answers
Answer:
10 weeks
Step-by-step explanation:
Create a system of equations demonstrating Roshaun and Keegan's savings.
Roshaun: 150 + 10x Keegan: 0 + 25xLet x equal the number of weeks they save their money.
In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.
150 + 10x = 25xSubtract 10x from both sides of the equation.
150 = 15xDivide both sides of the equation by 15.
x = 10In 10 weeks, Roshaun and Keegan will have the same amount of money.
A square playpen has sides that are 4 feet long. What is the playpen's area?
Answers
Answer:
16
Step-by-step explanation:
Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
Answers
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
Learn more about transformation here:
brainly.com/question/17586310
Express each rate below as a unit rate.
975 calories in 13 brownies
Answers
Answer:
Step-by-step explanation:
975/13=75
75 calories per brownie
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in
Answers
Answer:
44
Step-by-step explanation:
because yea
One Positive number is five times another number the difference between the two numbers is 172 to find the numbers
Answers
Answer:
x= 43, y=215
Step-by-step explanation:
Let one number be x,
Let the other number be y.
x= 5y
x - y= 172
Putting value of x in equation 2.
5y - y = 172
4y = 172
y= 172/4
y= 43
Putting value of y in eq. 1
x= 5(43)
x=215.
What is the prime factorization of 120
Answers
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answers
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
Find the area of each figure. Round to the nearest tenth if necessary
Answers
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer
PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST
Answers
Answer:
Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.
Marcos has 15 coins in nickels and quarters. He had 3 more quarters than
nickels. How many nickels and quarter does he have?
Answers
Help! I need to answer this on edge
Answers
your answer will be A
The function y=3x is growing slower than y=3^x
Step-by-step explanation:
hope it helps you
have a great day!!
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answers
Answer:
11 cows and 6 ducks
Step-by-step explanation:
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answers
Answer:
Step-by-step explanation:
line 1 is H
line 2 is C
line 3 is D
line 4 is G
:)