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.
Can some one please help me please
Answer:
j(10) (÷} =÷9
so let's check 89÷9= 9
At his birthday party, John's mother served a plate of 23 cupcakes. If every person at the party ate the same amount of cupcakes and all of the cupcakes were eaten, how many people
were at John's birthday party?
A) 23
B) 12
C) 6
D) 4
Answer:
A) 23
Step-by-step explanation:
Let's divide the total number of cupcakes by the different option choices, and see what works and what doesn't:
A) 23/ 23 = 1
This works, everyone will get one cupcake
B) 23 / 12 ≈ 1.91666667
This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party
C) 23 / 6 ≈ 3.8333334
This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party
D) 23 / 12 ≈ 5.75
This doesn't work, we have a decimal / remainder, while this is a nicer remainder, it still is incorrect
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.
Only two positive integers, 2 and 8, fit the description.
2 = 10 (base 2) = 2 (base 3)
8 = 1000 (base 2) = 22 (base 3)
Their sum is 10.
A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?
(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST
Answer:
A. = 100.84 m
B. 571.384 cubic m
Step-by-step explanation:
a.
33.22+33.22+17.2+17.2 =100.84m
b.
33.22x17.2 = 571.384 m2
On Monday, Anya read 11 pages of a book in 1 2 hour. On Tuesday, she read 18 pages in 3 4 hour. Did Anya's reading speed increase by more than 10% from Monday to Tuesday? Complete the justification for your answer.
Answer:
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.
Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.
I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.
If you need more help, let me know!
Step-by-step explanation:
If x = 5, find the value of
a) x2
b) (x + 3)^2.
the 2 is meant to be squared
Answer:
a)since x=5
x²= 5×5
=25
b)(x+3)²
x=5
5+3=8
8²=8×8
=64
Soo :
a) x² = 5² = 5•5 = 25
b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?
Answer:
i need help with this one too
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
I hope it helps you!
BRAINLIEST x 3
It is kinda late and I need to finish my work
Please help me
If you answer this I will create two other posts to give you extra brainliests
2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11
Follow me and hope it helps #The spirit of learningWhich is the better buy in each problem??
Answer:
1 - quarts of juice for 5.82 (the first one)
2 - 9.84 for a 12 pack of batteries (the second one)
3 - 24-pack of pencils for 2.64 (the first one)
4 - $2.46 for a 12-ounce jar of jam (the first one)
Step-by-step explanation:
Have a nice day
Write an equation in slope-intercept form for the line with slope 3 and y-intercept "-7." Then graph the line.
Answer:
The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.
Substitute these values in:
[tex]y=3x-7[/tex]
The graph would look like the image attached.
Dan bought 1/8 of a pound of iellybeans and 7/8
pound Of gummy bears. How much candy did he buy?
Answer:
1 pound or 8/8
Step-by-step explanation:
1/8 + 7/8 = 8/8 or 1 pound
6 of 15 motorist is what percent
Answer:
40%
Step-by-step explanation:
6/15 is the same as 2/5 which is .40 or 40%
Answer:
40%
Step-by-step explanation:
SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?
Answer:
use the formula( I=PTR/100)
the reciprocal of 11/12
Answer:
12/11
Step-by-step explanation:
just turn it around
W/11+10=10 w/11=0. W=
Answer:
w= 0
Step-by-step explanation:
a. 0/11+ 10= 10
0/11= 0
0+ 10= 10
b. 0/11= 0
a plumber who is just starting out offers low rates to attract new customers. He charges $35
to visit a client's home, plus an additional $20 per hour.
Write an equation that shows how the cost of a visit, y, depends on its duration in hours, X.
Answer:
y=20x+35
Step-by-step explanation:
if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
a plumber who is just starting out offers low rates to attract new customers
Plumber charges $35 to visit a client's home, plus an additional $20 per hour.
Let the charges per hour be denoted by x.
and it is given that y is cost of a visit.
We are required to write equation for cost of a visit y.
y equal to twenty x plus thirty five.
y=20x+35
Hence if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
193 / 240
what will be the percentage for this
Answer:
84%
Step-by-step explanation:
To find a percentage, just divide the first number by the second.
[tex]\frac{193}{240}=0.80417[/tex]
So 193 is about 80% of 240.
If you were to do it in the other order:
[tex]\frac{240}{193} =1.24352[/tex]
240 is 124% of 193.
2m+m=24
[tex]2m + m = 24[/tex]
I don't know
Answer:
m = 8
Step-by-step explanation:
2m + m = 24 ( collect like terms on left side )
3m = 24 ( divide both sides by 3 )
m = 8
Answer:
m = 8
Step-by-step explanation:
2m + m = 24
3m = 24
(3m)/3 = (24/3)
m = 8
Check:
2*8 + 8 = 24
16 + 8 = 24
please is for today and fast
Answer:
slope= [tex]\frac{2}{3}[/tex] or 0.6
y-intercept= -1
y= 0.6x+ -1
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
the y-intercept is where the line crosses the y axis
the equation for a line is y=mx+b where m is slope and b is y
Answer:
Slope: 1.5
Y-intercept: (0,-1)
Equation of the line: y=1.5x-1
Step-by-step explanation:
Slope=
change of y/change of x=
3/2 (or 1.5)
Equation of the line:
y=1.5x+b
-1=1.5(0)+b
-1=b
y=1.5x-1
Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?
Answer: Yes, No Submit ·
Step-by-step explanation:
there are 24 apples how many Sims can even wish are these apples
Answer:
6applies
Step-by-step explanation:
because 24 apples+6=30 right right right
graph the f(x)=(x+2)^2+3
Answer:
am also not sure
Step-by-step explanation:
Will give brainliest
See drawing attached below.
Corresponding angles and sides are congruent to each other. Thus,
∠L corresponds to ∠H
∠J corresponds to ∠P
HU corresponds to LO
PO corresponds to JU
LP corresponds to HJ
∠U corresponds to ∠O
Answer:
thanks for the points bye bye for now love u fin and I will
helpppppp plss thanks
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
Please help me with this math problem!! :)
Step-by-step explanation:
the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.
so,
y² + 7 = 32
y² = 25
y = 5
2y² = k
2×5² = k
50 = k
the opposite angle of 150 is also 150 degrees.
the opposite angle of x is also x.
so, we have as sum of angles
360 = 150 + 150 + x + x = 300 + 2x
60 = 2x
x = 30 degrees
:') kdhsafhiusijuasjksavbaubdhbsaiuvbasofa
Answer:
reatsrhgfdwdqewrgtyj :'(
Step-by-step explanation:
could you provide the polygons so I can answer?
podria proporcionar el poligono que puedo responder?
1 angle and 5 angle are what kind of angles
Answer:
They r corresponding angles.
Ajoba and Prav drive to work. Ajoba drives 45 miles in 2.5 hours. Prav drives 74 km in 1 hour 15 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:
30.4 km/h
Step-by-step explanation:
Ajoba: 45 miles = 72 km ; 2.5 hours
Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours
Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h
Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h
Difference: 59.2 - 28.8 = 30.4 km/h