The rate of change is 10.
What is rate of change?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.
For the given situation,
Bicycling involves 3 miles in 15 min and 7 miles in 55 min.
Here consider miles in x axis and minutes in y axis.
So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]
The rate of change is
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
⇒ [tex]\frac{55-15}{7-3}[/tex]
⇒ [tex]\frac{40}{4}[/tex]
⇒ [tex]10[/tex]
Hence we can conclude that the rate of change is 10.
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Graph the line with slope
1/2 and y-intercept -9
Answer:
Step-by-step explanation:
slope is the x axis and y intercept is the y axis
so 1/2 will go on the x axis and -9 will go on the y axis
1/2 uses the rise over run method
Answer:
Answer is in the screenshot. The equation for the line is y=1/2 x - 9
Step-by-step explanation:
To graph a line when you know the slope and y intercept, you make a point on the y intercept. Your y intercept iIs -9 so you would make a point on (0,-9).
After you have the point on (0,-9) you use the slope to create the rest of your line. Slope is just Rise
Run
Your slope is 1/2. That means your next point on the line is up 1 unit and right 2 units. The next point on the line is (2,-8).
Draw two lines with slope 3. What do you notice about the two lines?
Complete the area model to identify the factored form of the quadratic expression it represents.
A)
(x+3)(x 8)
B)
(x - 3)(x + 8)
o
(x + 3)(x - 3)
D)
(x - 3)(x - 8)
Suppose you have a 4$-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. and what would the coordinates be?
* PLEASE DONT ANSWER IF YOU DONT KNOW*
Answer:
Step-by-step explanation:
y=4+5,50x y=money
x=fabric
What is the sum of the coefficients in the polynomial 4x^2-3-7x^3
Answer:
-3
Step-by-step explanation:
Coefficients are numbers before variablesSolve the inequality:
2x - 7<-5 or 10x + 5 >85
Answer:
Step-by-step explanation:
hi its me addison ray
PLEASE ANSWER!!!!! ASAP!!! WILL GIVE BRAINlIST!!!!!!!! THANKS!!!
Solve the equation : (3.2y-1.8)-(5.2y+3.4)=-5.8
Answer:
y = 0.3
Step-by-step explanation:
[tex](3.2y-1.8)-(5.2y+3.4)=-5.8 \\ \\ = 3.2y - 1.8 - 5.2y - 3.4 = - 5.8 \\ \\ 3.2y - 5.2y - 1.8 - 3.4 = - 5.8 \\ \\ - 2y - 5.2 = - 5.8 \\ \\ - 2y = 5.2 - 5.8 \\ \\ - 2y = - 0.6 \\ \\ y = \frac{ - 0.6}{ - 2} \\ \\ y = 0.3[/tex]
Answer
y= -11/2
Explanation
3.2y-+1.8-5.2y-3.4=-5.8
Collect like terms
-2y-5.2=-5.8
Move the constant to the right
-2y=5.8+5.2
Calculate
-2y=11
Divide
y=-11/2
B jada writes this equation for the sum of the ages (x)+(x+3) +3(x+3)-1=87 explain the meaning of the variable and each term of the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex](x)+(x+3) +3(x+3)-1=87[/tex]
simplifying the equation
[tex]x+x+3+3x+9-1=87[/tex]
adding similar elements
[tex](x+x+3x)+(3+9-1-87)=0[/tex]
[tex]5x-76=0[/tex]
Thus, the equation is a linear equation in one variable 'x'.
A term is a single mathematical expression, so the simplified expression has two terms which are:
5x-76The term 5x has the variable 'x' of power 1.
The term -76 does not involve any variable, Hence, -76 is a constant term.
Tell whether the ordered pair (2, -5) is a solution of the system:
x + 3y = -13
4x + y = 3
yes or no
Your teacher is giving a test worth 200 points. There are a total of 32 four-point and
seven-point questions. How many 4 and 7-point questions are on the test?
Answer: a+b=32
4a+7b=200
a = 15
b = 20
There are 15 four pointers and 20 seven pointers. You can plug in the numbers to check.
it only 5 points but it’s okay.
Step-by-step explanation:
simplify the following
Answer:
a
Step-by-step explanation:
N more then then the difference of 7 and 2
Please help me ASAP!!!!
Answer:
what exactly is your question
find three consecutive integers whose sum is 21
Answer:
6 + 7 + 8 = 21
Step-by-step explanation:
6, 7, and 8 are consecutive integers.
6 + 7 is 13. 13 + 8 = 21. So, 6 + 7 + 8 are consecutive integers that equal 21.
Answer:
6+7+8= 21
Step-by-step explanation:
6,7,8 follow consecutively. and if you add them, the sum is 21
Jake wants to buy a 6 cakes for his Grandmother birthday. Jake wants to know the price for 1 cake each . The cakes were , huge, like wedding cakes. The total price is $571.2 for 6 cakes. How much did it cost per cake?
Have a Great Thanksgiving, Christmas, New year, Valentine day, and Birthday
Answer:
The answer is $95.2.
Step-by-step explanation:
Each cake costs $95.2, so you just have to divide for the answer. Also, thank you for the early "have a great"s. Have a nice day. :)
Answer:
7 and hewo leyla
Step-by-step explanation:
Nicholas has 22 nickels, dimes, and quarters. There are 3
less dimes than quarters and 2 more dimes than nickels.
How much money does he have?
Nickels: 22
Dimes: 24
Quarters: 27
2 more dimes than nickels, we already know that there are 22 nickles so...
Dimes= 24
3 less dimes that quarters ^(we already know how many dimes).
All we have to do is add 3 to the amount of dimes!
Quarters 27
____________________________________________________________
Now to find the amount of money you have to find out what each coin equals and multiply the number of coins by the cost of each coin, and then by 100 because there are 100 cents in 1 dollar.
22 nickels*5/100= $1.10
24 dimes*10/100= $2.40
27 quarters*25/100= $6.75
1.10+2.40+6.75= $10.25
The amount of money he has in $10.25
Which Theorem Is Being Used?
Step-by-step explanation:
by SAS since line BD is a perpendicular bisector
Answer:
Pythagoream theorem is being used
2.5kg of potatoes cost £1.40
Work out the cost of 4.25kg of potatoes
Step-by-step explanation:
2.5kg=£1.40
4.25kg= x
do cross multiplication
2.5x = 5.95
x=£2.38
Answer= £2.38
What is 3 ÷
2
5
?
The quotient is 7 and
.
A number line going from 0 to 3. Numbers 0, 1, 2, and 3 are marked on the line. Marks divide the spaces between each number into 5 equal parts.
Answer:
The quotient is 7 1/2.
Answer:
1/2
Step-by-step explanation:
got it right on edge
what is the answer 2x2x762x234
Answer:
713232
Step-by-step explanation:
Used a calculator
PLS HELP FAST!!!!!!!!!!!!
Which diagram shows possible angle measures of a triangle?
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Answer:
A triangle has nagle 35, 120 degrees, and 35 degrees
Step-by-step explanation:
Answer:
The Triangle that has 115 32 33 or B
Step-by-step explanation:
115+32+33=180 All triangle angles measure 180.
What is the correct answer to this equation 2+10×2-5+3=
Answer:
20
Step-by-step explanation:
apply BODMAS
10*2+3+2-5
20
What's the distance between points (2,-3) and (5,1)
Answer:
[tex]d = 5[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define points
(2, -3)
(5, 1)
Step 2: Solve for d
Substitute: [tex]d = \sqrt{(5-2)^2+(1-(-3))^2}[/tex]Subtract: [tex]d = \sqrt{(3)^2+(1-(-3))^2}[/tex]Change signs: [tex]d = \sqrt{(3)^2+(1+3)^2}[/tex]Add: [tex]d = \sqrt{(3)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{9+16}[/tex]Add: [tex]d = \sqrt{25}[/tex]Evaluate: [tex]d = 5[/tex]Avril is reading the first Harry Potter book, Harry Potter and the Sorcerer's Stone. The book has a total of
308 pages. If Avril has read 33 pages after reading for 18 minutes, will she be able to finish the book in 3
hours? Depending on how long it takes Avril to read the book, how many more minutes will she need or
how many extra minutes will she have before 3 hours have passed?
In a scale drawing of a house, 2 inches : 5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?
A. 5.2
B. 6.8
C. 7.5
D. 8
Answer:
B, 6.8
Step-by-step explanation:
Let's first find how many feet it is per 1 inch. We can do this by dividing 5 by 2
5/2= 2.5
Now it is 1 inch : 2.5 feet
17/2.5 = 6.8
1 x 6.8 = 6.8
6.8 inches : 17 feet
You could also solve this by doing
17/5 =3.4
3.4 x 2 = 6.8
6.8 inches : 17 feet
Identify the domain and range of the relation. (Do not put spaces between the numbers)
(2,5), (3, 11), (5, 13), (9, 20)
PLEASE HELP THE THIS IS TIMED YO
Answer: domain: [2,3,5,9] . range [5,11,13,20]
Step-by-step explanation: also possible, depending on how the instructor defines the parameters
For domain, find the lowest and highest x values [2,9]
for range, tale the lowest and highest y values [5,20]
is y=12x+5 proportional
Answer:
no
Step-by-step explanation:
i think its not proportional because 12 and 5 dont have nothing in common they are not divisble by each other
5. In the diagram, ABC is similar to ZAX. Given that AZ = XZ = 10 cm, AB = AC = 14 cm and BC = 7 cm, find the length of AX.
Answer:
Given: ABC
CD bisects AB
CD AB
Prove: ACD BCD
Statement
1. ABC
CD bisects AB
CD AB
2. AD DB Side
3. CDA and CDB are right
4. CDA CDB Angle
5. CD CD Side
6. ACD BCD
Reasons
1. Given
2. A bisector cuts a segment into 2
parts.
3. lines form right .
4. All rt are .
5. Reflexive post.
6. SAS SAS
A: x = 3
B: y = 3
C: y = x
D: x = 6
help please
I'LL GIVE BRAINLIEST
Solve the following proportion for v . 8/13 = v/10 Round your answer to the nearest tenth.
Answer:
Exact form: v=80/13
Nearest tenth: 6.2
Step-by-step explanation:
Hope it helps!