could someone please help me on one of these and explian to me too? plz show work
Answers
Answer:
3) rate of change = -5/4
4) rate of change = 3
5) rate of change = 1
6) steepest slope = #4
7) Please see the attached graph and explanation below
8) Please see the attached graph and explanation below
Step-by-step explanation:
Note:I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4). However, the rate of change for question 5 is 1.
3) Calculate the Rate of Change from the Graph:The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.
In order to solve for the rate of change, choose two points from the given graph.
Let (x₁, y₁) = (0, 200)
(x₂, y₂) = (80, 100)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (100 - 200)/(80 - 0)
m = -100/80
Reduce to lowest terms by dividing the numerator and the denominator by 20/20:
m = -5/4
Therefore, the rate of change is -5/4.
4) Calculate the Rate of Change from the Table:Similar to what we did in question 3, choose two ordered pairs from the given table:
Let (x₁, y₁) = (0, -1)
(x₂, y₂) = (3, 8)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]
[tex]m = \frac{8 + 1 }{3}[/tex]
[tex]m = \frac{9}{3}[/tex]
m = 3
Therefore, the rate of change from the given table is 3.
6) Which linear function has the steepest slope?The positive-sloped lines whose rate of change has the highest value will have the steepest slope. For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.
Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.
7) Graph the equation: y = -6x - 4:The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).
To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation, y = -6x - 4.Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.
8) Graph the following equation: 3x - 4y = 12The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.
In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:
3x - 4y = 12
3x -3x - 4y = -3x + 12
-4y = -3x + 12
Divide both sides by -4 to isolate y:
[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).
Graph:Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph. Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis. Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.
Please see the attached screenshot of the graph for 3x - 4y = 12.
Related Questions
A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x
Answers
The value of [tex]x[/tex] is 29.
The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:
[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)
[tex]V = w\cdot h \cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.According to the statement, we must equalize (1) and (2) and substitute the remaining variables:
[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]
[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]
[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]
By applying logarithm properties, we simplify the expression:
[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]
[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]
[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]
[tex]x = 9 + 16 + 4[/tex]
[tex]x = 29[/tex]
The value of [tex]x[/tex] is 29.
We kindly invite to check this question on logarithms: https://brainly.com/question/20838017
Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:
A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?
solve x. 24-8x=-16 and have a bless day
Answers
Answer:
x = 5
Step-by-step explanation:
24 - 8x = -16
Subtract 24 from both sides.
-8x = -40
Divide both sides by -8.
x = 5
Answer:
5
Step-by-step explanation:
24 - 8x = -16
24 + 16 = 8x
8x = 40
x = 40/8
= 10/2
= 5
Help pleasee giving brainliest!!
Answers
Answer:
x=21
<1=120
Step-by-step explanation:
So to find x set up an equation like this:
(5x+15)+(3x-3)=180
since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.
calculate the equation and you'll get x=21 :D
next to find 1 just put 21 in place of x: 3(21)-3=60
since it's supplementary to angle 1 you take 180-60=120
angle <1=120!
Which numbers are irrational
Answers
Answer:
A & B
Step-by-step explanation:
A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.
Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.
Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.
Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.
Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.
So our final answers for which are irrational are A & B.
Analyze the diagram below and complete the instructions that follow.
Answers
so we know m<3=70
m<2=90
m<2+m<1=m<4
try 50?
let me know if it is wrong
graph the line with slope -3 passing through the point (4, -3)
Answers
Answer:
my suggestion to you is that you use a ruler and a piece of paper to draw out the graph then plot the point down and draw the line.
(I hope this helps you!)
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?
Answers
answer:
32 dimes and 14 quarters
step by step:
32 x 10 = 320
14 x 25 = 350
320 + 350 = 670
670¢ = 6.70$
If you can get poland spring water, 3 for $11.00 how much would be 2 cases of water?
explain
Answers
3 cases /3= $11 /3
1 case x 2= 11/3 x2
2 case = 22/3 = (round to the hundreth) $7.33
What is the are of a circle if pi is 22/7
Answers
Answer:
In-sufficient data
Step-by-step explanation:
The formula for area is pi*radius*radius
1. write a mathematical expression that explains the following sentence:
The sum of 4 and d, then multiply the result by 2
Answers
Answer:
(4 + d) × 2
Step-by-step explanation:
Use pemdas to evaluate the equation
5 16/17 as an improper fraction
Answers
Answer:
5 16/ 17
17 x 5 + 16
85+16
101/17
Step-by-step explanation:
goodluck
Answer:
answer is 101/17
For the problem 12(-3)(-2), will the answer be positive or negative?
Answers
Answer:
the answer is positive.
Step-by-step explanation:
12(-3)(-2)
the 2 negatives cancel out, so you get a positive 6
12(6)
72
positive 72
hope this helped!
mark me brainliest :D
Someone please help with my STAT homework PLEASE I will give brainliest
Answers
Hi there!
a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.
b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground (ex: noise, crowd, etc.) in comparison to those on higher floors.
i need help please no bots
Answers
Answer:
>
Step-by-step explanation:
Squares eventually get bigger then when you multiply
How many brownies can you make in an 8x8 inch pan?
Answers
Answer:
You can make as many as you want, infinitely smaller but you need to specify the size of the brownies
Step-by-step explanation:
82837848+8383830.84-73327.00.73 =?
Answers
Answer:
91148351.8327
Step-by-step explanation:
Calculator
A family buys a studio apartment for 120,000. They pay down payment of 18,000.
A. Their down payment is what percent of the purchase price?
B. What percent of the purchase price would a 48,000 down payment be?
Answers
Answer:
EZ
Step-by-step explanation:
A. 15 Percent
B. 40 Percent
Answer:
A) 15% B) 40%
Step-by-step explanation:
Dan earns £300 over the course of a five-day week. How much is that per day?
Answers
Answer:
£60 per day
Step-by-step explanation:
1 week = 5 days
Dan earned = £300
therefore 1 day = 300 ÷ 5 = £60 per day
So 60 a day
sandra babysat for the millers for 4.5 hours. the millers gave her 40$. write and solve an equation to calculate how much sandra earned per hour. round to the nearest hundrefth.
Answers
X=8.8
Or if ur aloud to round 9$ an hour
90/9 as a whole number
Answers
Answer:
10
Step-by-step explanation:
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answers
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
To learn more about mean, please check: https://brainly.com/question/25842202
i need a lot of help and please help i need it
Answers
9x^2-(3x+1)(4x-5)+1+6x=0
Answers
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
An ice cream shop serves about 60 customers in one day. About how many customers does the ice cream shop serve in 40 days?
Answers
Answer:
2400
Step-by-step explanation:
60(customers/day) x40(days) = 2400 customers in 40 days
[tex]\frac{4x}{5}+\frac{5x}{6}[/tex]
Answers
To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:
[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]
Okay?!
What is the solution (pls help ASAP )
Answers
Answer:
c the factor of the inequality is correct - took this test already
Step-by-step explanation:
The measures of angles x and y in the above figure is:
Answers
Step-by-step explanation:
sum of 2 angles on a straight line = 180°
therefore,
y + 120 = 180
y = 180 - 120 = 60
y = 60°
now apply angle sum property of triangle
now,
50 + x + y = 180
50 + x + 60 = 180
110 + x = 180
x = 180 - 110
x = 70
therefore, x = 70 & y = 60
hope this answer helps you dear! take care
Answer:
x = 70°
y = 60°
Step-by-step explanation:
hope it helps u
plzz plzz pLZZ MARK AS BRAINLIEST
The nth term of a sequence is n^2 + 5.
Find the first three terms and show that 261 is a term in this sequence.
Answers
Answer:
first 3 terms: 6, 9, 14
16^2+5=261
Step-by-step explanation:
1^2+5= 6
2^2+5= 9
3^2+5= 14
i need help: solve (4x^(6))^((3)/(2))
Answers
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is
Answers
50x is your slope
40 is your intercept value