1.
(05.01 LC)
The graph below shows the height an elevator travels, y, in x seconds:
What is the rate of change for the relationship represented in the graph? (1 point)
A. 1/15
B.1/14
C.14
D.15
Answers
You can find the rate of change by taking any two points from your graph and plugging them into the following equation:
[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
Let's use the first two points you're shown from least to greatest. These are (0, 0) and (1, 15).
Now, identify what number is which and plug them into your equation. The solution will be your rate of change.
[tex]y_2 = 15 \\ y_1 = 0 \\ x_2 = 1 \\ x_1 = 0[/tex]
[tex]\frac{15-0}{1-0}[/tex]
[tex] \frac{15}{1} [/tex]
[tex]15[/tex]
15, or D, will be your answer.
Hope this helped you out! :-)
The rate of change for the relationship represented in the graph is 15
What is rate of change?The rate of change of a linear graph is the slope of the graph
From the graph, we have the following ordered pairs
(x,y) = (0,0) and (2,30)
So, the rate of change (m) is then calculated as:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]m =\frac{30 - 0}{2 - 0}[/tex]
Evaluate the differences
[tex]m =\frac{30 }{2 }[/tex]
Evaluate the difference
[tex]m=15[/tex]
Hence, the rate of change is 15
Read more about rate of change at:
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Related Questions
The set of ordered pairs described in the table below can be described as which of the following?
x y
1 5
2 2
3 5
a relation only
a function only
both a relation and a function
neither a relation nor a function
Answers
It is a function because, for every value of x, there is one unique value of y
It is a 'relation' because there is a relation between two sets of values; set of x-values and set of y-values
A function is one example of a 'relation'.
Answer this for 10 points
Answers
rate = 26/6.5 = 4
4 in per minute (b) -
so it's constant rate (a)
15 x 4 = 60 (60 inch. in 15 minutes) (c)
A carton has a length of fraction 2 1/6 feet, width of fraction 1 and 1/5 and height of fraction 2 and 1/2 feet. What is the volume of the carton
Answers
= 2 1/6 * 1 1/5 * 2 1/5 = 13/2 = 6 1/2 = 6.5 cubic feet
hope that helps
6x34 in distributrive property
Answers
It's 204!
Why?
Well just Multiply 6 times 10 which is 60
Then 60*3 which is 180 of 6* 4 which is 24!
180+24=204!
And there is your answer!
-Hope It Helps! :3
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
Answers
Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin-- a) what is the probability that both coins were nickels. b) what is the probability that both coins were dimes. c) what is the probability that the first coin was a nickel and the second a dime
Answers
B is 4/10 * 7/9 = 2/15
C is 6/10 * 4/9 = 4/15
I hope this helps
Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at -3,5. Point B is at 2,6. Point C is at 0, 2. Point D is at -5, 1.
Answers
AB [(3-2)^2]+[(6-1)^2]=square root of (1+25)=Square root of 26= 5.099
If you do this for all 4 sides and add them up you get the answer:
P(perimeter)=19.1
2/7 times 2/6 = what
Answers
simplified = 2/21
hope this helps
−5=−8−x What is x? Solve for x
Answers
-5 = -8 -x
First, we need to get x isolated (put on one side of the equation by itself), and then divide by -1 to get rid of the negative sign.
Add 8 to both sides.
-5 + 8 = 3
-8 + 8 = 0
You are left with:
-x = 3
Now, we must divide both sides by -1 to solve for x.
-x / -1 = x
3 / -1 = -3
You are now left with the following solution:
x = -3
I hope this helps!
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
Answers
while m is the slope and then you just simplify.
C+1/c-2 = 4/7 please show how you got the answer which is 5
Answers
(c+1)/(c-2) = 4/7
7*(c+1) = 4*(c-2) ... cross multiply
7c+7 = 4c-8
7c+7-7 = 4c-8-7 ... subtract 7 from both sides
7c = 4c-15
7c-4c = 4c-15-4c ... subtract 4c from both sides
3c = -15
3c/3 = -15/3 ... divide both sides by 3
c = -5
----------------------------
Check:
(c+1)/(c-2) = 4/7
(-5+1)/(-5-2) = 4/7 ... replace every copy of 'c' with '-5'
(-4)/(-7) = 4/7
4/7 = 4/7 .. true equation; answer checks out
So the answer of c = -5 has been confirmed.
What is the answer to 6,007,200 in exspanded form
Answers
hope this helps
The number 6,007,200 in expanded form is written as 6,000,000 + 7,000 + 200, breaking down the number by each digit's place value.
To write the number 6,007,200 in expanded form, we break it down based on the place value of each digit. Here is how you would write it:
Identify the value of each digit in the number.
Starting from the left, write each digit multiplied by its place value.
Add each of these values together.
Applying this to the number 6,007,200, we get:
6,000,000 (6 millions) + 7,000 (7 thousands) + 200 (2 hundreds)
Therefore, the expanded form of 6,007,200 is:
6,000,000 + 7,000 + 200
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answers
Answer:
x-intercepts are (-6,0 and (2,0)
First option is correct.
Step-by-step explanation:
The given equation is [tex]y=x^2+4x-12[/tex]
For x-intercept, y=f(x)=0. Thus, we have
[tex]0=x^2+4x-12[/tex]
We can split the middle term as 4x = 6x-2x
Thus, the equation becomes
[tex]x^2+6x-2x-12=0[/tex]
Now, we make group
[tex](x^2+6x)+(-2x-12)=0[/tex]
Take GCF from each of the group
[tex]x(x+6)-2(x+6)=0[/tex]
Factored out the common term
[tex](x+6)(x-2)=0[/tex]
Apply the zero product property,
[tex]x+6=0,x-2=0[/tex]
Solve for x
[tex]x-6,x=2[/tex]
Thus, x-intercepts are (-6,0 and (2,0)
First option is correct.
Answer:
A
Step-by-step explanation:
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month?
Answers
that would be (250×$855)-$6780
=$213750-$6780
=$206970
the CEO amount would be 15% of $206970
=$31045.5
If the width of a rectangle is x + 2 and the length is twice as long, what is the area?
Answers
an airplane is flying from montreal to vancouver. the wind is blowing from the west at 60km/h. the airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. what heading should the pilot take to compensate for the wind? what is the speed of the airplane relative to the ground?
Answers
In order for the airplane to maintain a heading of 65° west of north, it actually heads at (65° +x) west of north at a speed of 750 km/h, to compensate for the wind blowing from west t east at 60 km/h.
The actual speed of the airplane relative to the ground is V km/h.
From geometry, obtain the triangle shown.
The speed of 750 km/h is opposite an angle of 155°, and the unknown angle x is opposite the wind speed of 60 km/h.
From the Law of Sines, obtain
[tex] \frac{sin(x)}{60}= \frac{sin(155^{o}}{750} \\ sin(x)= (\frac{60}{750})sin(155^{o})=0.0338[/tex]
[tex]x=sin^{-1}0.0338=1.937^{o}[/tex]
The heading that the pilot should take is 65 + 1.937 = 66.94° west of north.
The third angle of the triangle is 180 - (155 + 1.937) = 23.063°.
Use the Law of Sines to calculate V.
[tex] \frac{V}{sin(23.063^{o})}= \frac{750}{sin(155^{o})} [/tex]
[tex]V=( \frac{sin(23.063)}{sin(155)} )750=695.21\,km/h[/tex]
Answer:
The pilot heads approximately 67° (nearest integer) west of north.
The speed of the airplane relative to ground is 695.2 km/h (nearest tenth)
Round 992,449 to the nearest hundred thousand
Answers
After 9, we have another 9 which is greater than 5, so we must add 1 to the 9. The rounded value must have 5 zeros. On adding 1, the value becomes ten hundred thousand.
Hope it helped!
What are the factors of 4x2 + 23x − 6? (4x − 6)(x + 1) (4x − 1)(x + 6) (4x − 2)(x + 3) (4x − 3)(x + 2)
Answers
The factors of 4x^2 + 23x − 6 are (4x-1)and (x+6).
We have given that,
[tex]4x^2 + 23x - 6[/tex]
We have to determine the factors of given expression
What is the quadratic formula?[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \:25}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-23+25}{2\cdot \:4},\:x_2=\frac{-23-25}{2\cdot \:4}[/tex]
[tex]=\frac{-23+25}{2\cdot \:4}[/tex]
[tex]=\frac{2}{2\cdot \:4}[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4},\:x=-6[/tex]
Therefore the factors are(4x-1)and (x+6)
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The weight of 10 identical samples of a substance is 0.01 pound what is the weight of 10,000 samples
Answers
For every 10 samples, the total weight is 0.01 lb.
We write
10 / 0.01.
We want to find the weight of 10,000 samples.
We write
10,000/?
These two ratios must equal each other.
(10 / 0.01) = (10,000 / ?)
If you know how to cross-multiply, then we can do that here.
0.01 * 10000 = 10 * ?
100 = 10 * ?
The unknown value is 10, which is your answer.
The weight of 10,000 samples is:
10 pounds.
Step-by-step explanation:It is given that:
The weight of 10 identical samples of a substance is 0.01 pound.
i.e. 10 samples= 0.01 pound.
Now we are asked to find the weight of 10,000 samples.
Since,
10 samples= 0.01 pound.
1000×10 samples= 1000×0.01 pounds
i.e.
10000 samples= 10 pounds.
Hence, the answer is: 10 pounds.
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?
1/2
1/3
3
2
Answers
(1/3)(6, -3)=(2, -1)
Subtract.
14x-(6+7x)
(Simplify answer)
Answers
=14x-6-7x
=14x-7x-6
=(14x-7x)-6
=7x-6x
In the expression 14x - 6 + 7x the terms 14x and 7x are like terms. Because they both have the same variable and are to the same power.
14x - 6 + 7x
21x - 6
So, 21x - 6 is the answer.
Fraction 14 divided into 18
Answers
Sydney applied the steps below to find the product of (3.1)(–1.6).
Step 1: (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = _______________
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
Which expression correctly fills in the blank in Step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1
Answers
Answer with explanation:
We have to find the product of
⇒(3.1)× (-1.6)
Step 1:→ (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = -1.6×(3 + 0.1)=(-1.6) ×3 + (-1.6)×(0.1)→→We have used Distributive property of addition with respect to Multiplication, which is , a × (b + c)=a×b + a × c
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
The expression which correctly fills the blank is:
Option D: →→ (–1.6)(3) + (–1.6)(0.1)
What is the product of 4xy and y2 + 2x?
4xy + 4xy 3
8x 2y + 4xy2
8x 2 + 4xy 3
8x 2y + 4xy3
Answers
[tex]\text{Used:}\\\\a^n\cdot a^m=a^{n+m}\\\\a\cdot b=b\cdot a[/tex]
Find the area of the figure shown. Use 3.14 to approximate pi
Answers
we gots 1/4 circle and paralellogram
area circle=pi times radius^2
area paralelogram=base times height
1/4 circle is
radius is 10 so
area part circle is 1/4 times pi times 10^2=100/4pi=25pi=78.5 m²
area paralllogram is
10 times 3 because 3 is height and 10 is base length or 30
30+78.5=108.5 m² is the area
an airplane flies 105 miles in 1/2 hour . how far can it fly in1 1/4 hours at the same rate of speed.
Answers
The airplane flies 210 in one hour
1/4 of 210 is 52.5
52.5 x 5 = 262.5
Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils does Mary does?
Answers
Miguel typed 270 words in 6 minutes. His paper is 630 words. If he keeps typing at the same rate, in how many more minutes will Miguel finish typing his paper?
A. 8 minutes
B. 14 minutes
C. 16 minutes
D. 22 minutes
Answers
Rate = 270words/6min=45wpm
Time left = 360words/45wpm = 8mins.
you just cross multiply
270x=6*630
x=6*630/270
x=14
Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem
Answers
(0.96+0.2x)/(12+x)=0.16 multiply both sides by (12+x)
0.96+0.2x=1.92+0.16x subtract 0.16x from both sides
0.96+0.04x=1.92 subtract 0.96 from both sides
0.04x=0.96 divide both sides by 0.04
x=24
So 24 liters of 20% acid solution is in the new mixture.
how many 1/4 pound patties can be made from 5 pounds of chicken?
i will give brainliest to 1 out of how ever many answer!