The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 8, 2, negative 4, negative 10, negative 16. What is the slope of the function?
Answers
m = 10
The slope of the line will be +10.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have a table that represents a linear function.
We have -
[x] [y]
-2 -8
-1 2
0 -4
1 -10
2 -16
The slope of the function can be calculated as -
m = (2 + 8)/(-1 + 2) = 10/1 = 10
Therefore, the slope of the line will be +10.
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Related Questions
Fill in the missing digits to complete the division problem. CLEAR CHECK 9 3 | 3 2 7 6 9 − 2 7 ↓ ↓ 0 6 − 0 0 − 0
Answers
help me pls dont waste my points lol
Answers
Every square has 4 toothpicks. Two squares would be a total of 8 toothpicks. 3 squares is 12 toothpicks, 4 squares is 16 toothpicks, and 5 squares is 20 toothpicks.
Just under 44 squares would equal 175 toothpicks.
ANSWER:
# Toothpicks. # squares
8. 2
12. 3
16. 4
20. 5
PLEASEE HURRY AND HELP ME NO WRONG ANSWERS :( !!!!!!!!!!
LOOK AT THE IMAGES BELOW !!!!!!!!!!!!!
Answers
Answer:
Hello, for the first one, the answer should be (C) 3
The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.
2x3=6
3x3=9
Therefore, the scale factor is (C) 3.
#5: The answer is (D): 4
Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.
Therefore, the answer is (D): 4
Hope this helped! Sorry for the complications <33
Help me with math please
Answers
To solutions for the questions on two quantities are;
1. Time (in hours) and the miles of road paint. The independent quantity is time (t), and the dependent quantity is miles of road painted (m). t for time and m for miles. The equation that relates these two quantities is: m = 9.5 + 0.25t
2. The rate at which the painting crew is painting the road, which is 0.25 mile per hour. This means that for every hour the crew works, they paint 0.25 mile of the road.
3. 10 miles
4. 10 more hours to complete half of the job.
5. quantities Time Miles
unit of measures hours miles
expressions t m
0 9.5
2 10
10 12
-6 8
-36 0
How do you solve for the equation on quantities?1. The equation m = 9.5 + 0.25t represents a linear relationship between two variables, m and t.
The equation indicates that the crew has already painted 9.5 miles before they start painting at the rate of 0.25 mile per hour. As the crew continues to work (increasing t), the total miles painted (m) increases by 0.25 miles for every additional hour they work. The equation helps to determine the total miles painted by the crew after a certain amount of time.
If the crew works for another 2 hours, we can find the total miles they will complete using the equation:
m = 9.5 + 0.25(2)
m = 9.5 + 0.5
m = 10
The Department of Transportation in each state is responsible for the improvements and repairs of that state's roads. One important job is to repaint the road lines that have worn away or faded. A painting crew is painting a 24-mile stretch of road. They have already completed a total of 9.5 miles of the road. The crew has been painting at a rate of 0.25 mile per hour and continues to paint at the same rate.
1 Identify the two quantities that are changing in this situation, identify the independent and dependent quantities, and define the variables for these quantities. Then write an equation that relates the two quantities.
2 What is the unit rate of change in this situation? Explain.
3 How many total miles of the road will the crew complete if it works for another 2 hours?
4 How many more hours does the crew need to work to complete half of the job?
5. Complete the table then construct a graph for the problem situation
quantities
unit of measures
expressions t
0
2
12
8
0
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Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
Which expressions are equivalent to the model?
Select all that apply.
2y+(3+4x)
2y(3+4x)
6xy+3
2y+7x
6y+8xy
Answers
you can distribute the 2y to both of the values inside the parentheses in order to simplify
Compare the decimal numbers 0.896 and 0.689.
0.896 > 0.689
0.689 > 0.896
0.896 < 0.689
0.689 = 0.896
Answers
Answer:
0.896 > 0.689
explanation: 0.689 is less than 0.896 because the tenths place depends on how close it is to one. And 0.8 is more than 0.6.
Which two ordered pairs represent a proportional relationship?
A.
(3, 2) and (6, 4)
B.
(3, 2) and (6, 6)
C.
(4, 2) and (6, 4)
D.
(5, 3) and (6, 4)
Answers
Answer: its A!
Step-by-step explanation:
It's too short. Write at least 20 characters to get a great answer.
Don't use such phrases here, not cool! It hurts our feelings :(
Answers
Answer:
A and C
1st and 3rd equations
Ivan watered 3 plants. Every plant got 5/9 gallons of water. How much water did he use in all write in simplest form
Answers
Answer:
1 and 2/3 gallons of water.
Step-by-step explanation:
5/9*3=15/9
15/9=1 and 6/9
6/9 simplified is 2/3
Answer: 1 and 2/3 gallons of water
Based on the information given, the amount of water used will be 1 2/3 gallons.
From the information given, it was stated that Ivan watered 3 plants and that every plant got 5/9 gallons of water.
Therefore, the amount of water that'll be used for all will be:
= 5/9 × 3
= 15/9
= 1 2/3.
In conclusion, the correct option is 1 2/3 gallons.
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Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
6+4/a+b/3 when a=4 and b=3
Answers
Answer:
8
Step-by-step explanation:
Simplify and evulate 3^3 ⋅ 3^2
Answers
Answer: 243
Step-by-step explanation:
3³×3²
27×9=243
hope it helps
find the measurement of each liquid in the graduated cylinders. and do not forget your UNITS!!! :)
Answers
Answer:
1st-50ml
Step-by-step explanation:
PLZZ HELP DUE BY TODAY AT 11am
Answers
Answer:
70
Step-by-step explanation:
An isosceles triangle has two equal sides, and the angles add up to 180 degrees. 180 - 70 - 40 = 100, therefore the answer is 70
So,
40° + 70° +
110° +
if 40% of x is 30, then what percent of 50 is x?
Answers
Answer:
I think 37.5
Step-by-step explanation:
I think 37.5 because 40% of x=75 is 30, and 50% of 75 is 37.5, I suppose!
SORRY IF WRONG ;c
(Edit) wAIT tHE AaNSWER HAS TO BE A PERCENTAGE?
Well then idk
I did it thats how i know
Maybe I got 150%
Who Knows
Find the value of: 24/25 divided by 4/5
Type mixed numbers like this: WholeNumber numerator/denominator
type the whole number then a space...then type the numerator, a slash, and the denominator WITH NO SPACES between each part.
Type fractions like this: numerator/denominator
type the numerator, a slash, and the denominator WITH NO SPACES between each part
Answers
Answer:
1 1/5.
Step-by-step explanation:
To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".
For the problem 24/25 ÷ 4/5,
You KEEP the first fraction as is, so 24/25
Then, you SWITCH the sign from division to multiplication.
Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.
The equation is now 24/25 * 5/4, which we can just multiply the numerators and denominators. (or cross cancel first)
24 * 5 = 120
25 * 4 = 100
the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.
show all your work please and thank you let me show you an example of showing your work
the second one is an example from my other one I just asked
Answers
Answer:
so we jsut show the work for the first question I'll write in the comment box then
Answer:
700 cubic inches
Step-by-step explanation:
The question asks for how much volume the box can hold. We multiply the length (14), width (10), and height (5) to get the volume. 14 · 10 · 5 = 700.
The box can hold 700 cubic inches.
Can someone help me with this two because I am very confused
Answers
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation:
Question about finding intercepts from a table. Hope someone can answer!
Answers
Now if you are familiar with the equation of a line in slope intercept form, it will look like this: y=mx+b. Here the ‘m’ is the slope and the ‘b’ is your y-intercept. What you need to do is use any two points given from the table and find the slope. To do that follow the steps below:
1. Pick two points. Let’s take the first two.
(-28, -54) And (-21, -40)
2. Subtract the two y values, -40 - (-54) = 14
3. Subtract the two x values, -21 - (-28) = 7
4. Now take your answer from step 2 and divide it by your answer in step 3. This will be 14/7, which will be 2.
Your answer from step 4 is your slope, or ‘m’.
(That series of steps was basically change in y over change in x, you can look that up if you are still confused)
Now that you know m, your incomplete equation will be this:
y=2x+b.
Next you will pick any point from the table again, and replace it with x and y in the equation. Let’s pick the second point, (-21,-40)
Plug this in: -40 = 2(-21) + b
Solve for b and you will get your answer.
-40 = -42 + b
b=2
Your answer is 2, that is the y intercept.
(The full equation of the line from that table would be y=2x+2)
Hope this helps!
point into x and y and the b you will get is
your y-intercept.
Now if you are familiar with the equation of
a line in slope intercept form, it will look
like this: y=mx+b. Here the 'm' is the slope
and the 'b' is your y-intercept. What you
need to do is use any two points given
from the table and find the slope. To do
that follow the steps below:
1. Pick two points. Let's take the first two.
(-28, -54) And (-21, -40)
2. Subtract the two y values, -40 - (-54)
14
3. Subtract the two x values, -21 - (-28) :
7
4. Now take your answer from step 2 and
divide it by your answer in step 3. This will
be 14/7. which will be 2.
Your answer from step 4 is your slope, or
Question is in the picture please help.
Answers
Answer: a
Step-by-step explanation: its getting rid of water and the original is 40
The water level at Town Lake is dropping 8 inches per month.
Is this Proportional or Non-proportional?
Answers
Answer:
proportion is the correct answer
Answer:
yes it is proportional
Step-by-step explanation:
PLEASE HELP THANK YOU SO MUCH!!! :)
(solve, show work) Jennifer earns $1,920 in interest after making a deposit 6 months ago at a rate of 12.5%. What was the initial deposit 6 months ago? PLS answer this seriously its really important tysm!
Answers
Answer:
P = $1807.058
Step-by-step explanation:
Given
A=$1, 920
R=12.5% =12.5/100
T= 6month = 6/12 .... to change to year
Required
p=?
Solution
A= I + P ......... I= PRT
A = PRT + P
A= P(RT+1)
$1920 = P( 12.5/100 ( 6/12) + 1 )
$1920= P(1.0625)
P = $ 1920 / 1.0625
P = $1807.058
We can use the simple interest formula to solve this problem. The formula is:
I = P*r*t
where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate, and t is the time in years.
First, we need to convert the annual interest rate of 12.5% to a monthly rate. We can do this by dividing the annual rate by 12 (the number of months in a year):
r = 12.5%/12 = 0.01041667
Next, we need to convert the time of 6 months to a fraction of a year. We can do this by dividing 6 by 12:
t = 6/12 = 0.5
Now we can plug in the given values and solve for P:
I = P*r*t
$1,920 = P*0.01041667*0.5
$1,920 = P*0.00520833
P = $1,920/0.00520833
P = $368,640
Therefore, the initial deposit 6 months ago was $368,640.
what is the smallest number that can be divided evenly by 8 and 16?
Answers
Answer: 2
Step-by-step explanation:
2/8=0.25
Answer:
16 can be divided evenly by 1,2,4,8,16
Step-by-step explanation:
:)
21 POINTS PLEASE HELP
The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
A) 11 inches
B) 15.6 inches
C) 19.1 inches
D) 22 inches
Answers
Answer:
b 15.6 would be correct
Step-by-step explanation:
The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets.
Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answers
Answer:
Step-by-step explanation:
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, in cubic centimeters, of the cereal box?
88. Referring to the figure, Mrs. Hawkins took four slips of paper
and wrote a different student's name on each. Two of the names were
boys and two girls. She put the four slips of paper in a bag and said
she is going to draw two slips out. She then drew the tree diagram
to show the different outcomes that are possible. "B" represents a
boy's name and "G" represents a girl's name. What is the theoretical
probability that the teacher draws two names that are the same sex?
a. 1/6 c. 1/3
b. 2/3 d. 1/12
Answers
Answer:
a. 1/6
Step-by-step explanation:
I just counted the 12 outcomes and the 2 same sex possibilities, which would turn to 2/12, and then simplified it into 1/6. I hope this is right, I am very sorry if it isn't.
please help me thinks
Answers
Answer:
8
Step-by-step explanation:
I don’t get it, what am I supposed to be multiplying!?!
Answers
Answer: 5400
Step-by-step explanation: image attached
Answer:
5400
Step-by-step explanation:
we need to calculate the area of big box (prism).
volume = 4 1/2 X 5 X 3 3/4
= 84.375 in³.
volume of small cube = 1/4 X 1/4 X 1/4
= 0.015625 in³.
now we need to find how many of the small ones go into the big one.
84.375/0.015625
= 5400.