Answers
Answer: y = 8x
Step-by-step explanation:
The line passes through points (1,8) and (2,16).
Using this, we can first find the slope.
Slope = Δy/Δx = 8/1 = 8
So the slope is 8.
The equation is now
y = 8x + b
Let's use the point (1,8) to find the value of b now.
8 = 8 +b
b = 0
Therefore, y = 8x is the answer.
(you can skip the last step by noticing that the graph passes through the origin)
Answer:
y = 8x
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]
From inspection of the given graph, two points on the line are:
(0, 0)(2, 16)Substitute the points into the slope formula to find the slope of the line:
[tex]\implies m=\dfrac{16-0}{2-0}=\dfrac{16}{2}=8[/tex]
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
The y-intercept is the y-value of the point where the line crosses the y-axis. From inspection of the given graph, the y-intercept is zero. So b=0.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
[tex]\implies y=8x+0[/tex]
[tex]\implies y=8x[/tex]
Therefore, the equation for the line in slope-intercept form is:
y = 8xRelated Questions
The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.
I need the steps also
Answers
Answer:
AED 3000Step-by-step explanation:
Let the invested amount is x
Interest rate is r = 5% simple = 0.05 timesTime is t = 3 yearsInterest amount I = AED. 450Using the interest formula and solving for x:
P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000The amount invested is AED 3000
The school production of 'Our Town' was a big success. For opening night, 391 tickets were sold. Students paid $4.00 each, while non-students paid $6.00 each. If a total of $1786 was collected, how many students and how many non-students attended?
Answers
Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?
Answers
Answer:
15 feet tall hi hi hi hi hi hi
Answer:
10
Step-by-step explanation:
yoo hii, could yall please help me!!
Answers
2. B. x=6
Rewrite, if it helps, grouping like terms
12x - 3x -6 + 4
9x -2
For the second problem, the answer is B
-2x + 15 + 7x = 45
5x = 30
x = 6
(-10,-8), (8, 10) what the slope for this plz
Answers
Answer:
1
Step-by-step explanation:
y2 - y1/x2 - x1
10 + 8/8 + 10 = 18/18 = 1
a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent
using the scientists prediction, create an equation that models the population of bats, y, after t years.
Answers
Answer:
Step-by-step explanation:
y = 270,000 ×1.029^t
please please answer will give brainliest
Answers
Answer:
c
Step-by-step explanation:
.5xBxH=.5x16x5=8x5=40
Answer:
c
Step-by-step explanation:
sources: dude trust me
16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6
Answers
Answer:
Step-by-step explanation:
x + 8 = -x - 6
2x + 8 = -6
2x = -14
x = -7
y = -7 + 8
y = 1
(-7, 1)
Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap
Answers
Answer:
$3.25
Step-by-step explanation:
The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
Answers
7(dollars spent each week) x 4 ( number of weeks)=28 (spent in 4 weeks)
80 - 28 =52
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answers
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answers
Answer:
I think the answer is 56 .
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answers
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
que son monomios? y 4 ejemplos
Answers
una expression algebraic
5x9
xy²
8x6y
3x
Graph the following features:
• Slope = 2
Y-intercept = -5
Answers
y = mx + b
y = 2x - 5
you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.
it should look like this:
hope this helps !!
what this answer
954328- 864597
Answers
Answer:
Answer is 89,731
Step-by-step explanation:
I hope it's helpful!
Answer:
89731
Step-by-step explanation:
954328 - 864597
= 89731
Hope this helps :)
Let me know if there is any mistake!!
PLEASE HELP!!!! 25 POINTS!!!
don't need to answer all but someone please help with a few questions!!!
(GRAPH INCLUDED)
Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
Answer:
x variable
Step-by-step explanation:
HOPE IT WILL HELP YOU
find the value of z
Answers
Answer:
[tex] z = 12 \sqrt{5} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]
By Pythagoras Theorem:
[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]
20 pts help...................
Answers
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
We have a right rectangular prism and the question is asking for the volume.
Look for the formula of volume :
V = LWH
L being length
W being width
H being height
The formula is basically saying to multiply all sides together, so let's do as so.
[tex]2*1\frac{1}{4} * 1\frac{1}{2}[/tex]
= [tex]3 \frac{3}{4}[/tex]
Answer:
c
Step-by-step explanation:
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Answers
Step-by-step explanation:
Please refer to the attachment
120 pounds decreased by 5%
Answers
Answer:
114 pounds
Step-by-step explanation:
which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answers
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answers
Answer:
find the mean median mean devialion
A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income for each sample. Calculate the mean of the sampling distribution of x-bar.
Answers
Answer: Mean: 70,000
Standard Deviation: 500
Step-by-step explanation:
The mean is 70, 000 and standard deviation is 800.
What is Standard Deviation?The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
A certain region of America with over 500,000 households.
Mean, [tex]\mu[/tex] = 70,000
and, Standard Deviation, [tex]\sigma[/tex] = 20,000
n = 625
So, the new mean = old mean
= 70, 000
and, the standard deviation = [tex]\sigma /[/tex]√n
= 20,000 / √625
= 20,000 / 25
= 800.
Hence, the mean is 70, 000 and standard deviation is 800.
Learn more about Standard Deviation here:
https://brainly.com/question/23907081
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I would need you to tell me the answers to each question (3 questions)
Answers
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))
Answers
Answer:
90 degree - 60 degree = 30 degree always remember yn will be 90 degree
Answer:
MN = π
Step-by-step explanation:
The arc MN is calculated as
MN = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{6}[/tex]
= 6π × [tex]\frac{1}{6}[/tex]
= π
8-3(6-6x) please help
Answers
Answer:
-10 + 18x
Step-by-step explanation:
8-3 (6-6x)
distribute -3 with the numbers inside the parenthesis and you end up with
8 -18 + 18x
and you simplify by subtracting 18 from 8 so you get
-10 + 18x
The simplified form of the expression 8 - 3(6 - 6x) is -10+18x.
To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.
Distribute the -3 to both terms inside the parentheses:
8 - 3 × 6 + 3 × 6x
Simplify the multiplication:
8 - 18 + 18x
Combine like terms:
-10 + 18x
Therefore, the simplified expression is -10 + 18x.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Please help me on this I need help and nobody is really helping
Answers
Answer:
(0,0)
Step-by-step explanation:
That is the middle.
Clasificación de los ángulos de acuerdo a sus aberturas
Answers
Answer:
recto, agudo, obtuso, liano, completo, convexo, cóncavo
Step-by-step explanation:
Taylor and Katy repeatedly toss a fair coin. Katy wins if heads are thrown, Taylor wins if tails are thrown, and the game ends when someone has won three times. Katy is currently behind 1 to 2. The chance Katy wins is:
Answers
Answer:
25%
Step-by-step explanation:
In order to find the chance/probability that Katy wins we need to first find the probability of her winning a single coin toss and then multiply it twice. This is because Katy has 1 win already and needs two more win the entire game. Since a coin toss only has 2 options and only 1 of those outcomes will cause Katy to win, then this means that the probability of Katy winning is 1/2 or 50%. Now we can multiply this probability twice to get the probability of Katy winning the entire game
1/2 * 1/2 = 1/4 or 25%