Calculate the average rate of change of y=x2+3x−2 on the interval 1≤x≤2
Answer:
The rate of change for the given function is 6.
Step-by-step explanation:
Given function is:
[tex]y = x^2+3x-2[/tex]
The interval on which we have to find the rate of change is:
1≤x≤2
Here
a = 1
b = 2
We have to find the values of function on both points
Putting 1 in place of input (x)
[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]
Putting x = 2
[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]
The rate of change is calculated by using the following formula
[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]
Hence,
The rate of change for the given function is 6.
At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table. Number of Rulers (x) Cost (y) 5 $4.60 10 $9.20 15 $13.80 20 $18.40 Use the slope of each store to determine which store charges more per ruler. Explain.
Answer:
The ruler at store A cost more
Step-by-step explanation:
Ruler A=$0.95 per ruler
Ruler B=$0.92 per ruler
The same cold front hit Harhord, Connecticut the next morning. The temperature dropped by 5 degrees each hour from 5:00 a.M. To 9:00 a.M. What was the beginning temperature at 5:00 a.M. If the temperature at 9:00 a.M. Was -12F ?
Answer:
This doesn't make sense
Step-by-step explanation:
This doesn't make sense please emphasize
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices
0.2
0.4
0.35
0.45
The value of z = 0.2
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Sum of probabilities:"The sum of the probabilities of all outcomes must equal 1."
For given situation,
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
The probability of customers choosing Vanilla flavor = 0.45
The probability of customers choosing Chocolate flavor = 0.35
We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.
The sum of the probabilities of all outcomes must equal 1.
From given tree diagram,
⇒ 0.45 + 0.35 + z = 1
⇒ 0.8 + z = 1
⇒ z = 1 - 0.8
⇒ z = 0.2
Therefore, the correct answer is option (A)
Learn more about probability here:
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Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?
Answer:
1) Domain = -3 ≤ x ≤ 2
Range = -4 ≤ y ≤ 5
Function? No
Step-by-step explanation:
From the given graph, we have;
The domain of the dot plot = -3 ≤ x ≤ 2
The range of the dot plot = -4 ≤ y ≤ 5
From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3
Therefore, the relation is not a function as one input value produces two output values.
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
AB formed by (2, 3) and (-1, 4)
CD formed by (-5, 3) and (-4, 6)
Help
Please due now!!!!
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
Is 6x + 9 = 9x an expression or equation?
Answer:
Step-by-step explanation:
this is an equation because it has an equal sign,
expressions do not have an = sign
Answer: Equation
Step-by-step explanation: This is an example of an equation.
Equations are mathematical sentences that contains an equals sign.
HELP MEEEEEE! ILL GIVE BRAINLYY
haha
Answer:
D
Plzzzzz give me Brainliest!!!!!
Combine like terms to simplify the expression below.
5y - 8x - y + 12y
Answer:
it will 16y-8x and common 8 is so 2y-x
REEEEEEEEEEEEEEEEE I need help plz ;-;
Answer:
Step-by-step explanation:
150 ft in 30 seconds
150/30=5 we have 5 ft per second
in 10 seconds 5*10=50 ft
choice C
Answer:
C: y=5x; 50
Step-by-step explanation:
Dividing 130 by 5 tells you that they travel 5 feet per second.
So,
y=5x
y=5(10)
50
What is the slope of 2y-4=8x
Answer:
4
Step-by-step explanation:
this is beacsue
True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.
False. You only flip when the number you are multiplying/dividing is negative.
Don's credit score is 777, while Zelda's credit score is 709. According to the
following table for a $150,000 mortgage, how much more would Zelda have
to pay per month than Don?
FICO
Interest
rate
5.59%
Monthly
payment
$860
score
720-850
700-719
675-699
620-674
560-619
500-559
5.71%
6.25%
7.40%
8.53%
9.29%
$872
$924
$1039
$1157
$1238
O A. $115
O B. $52
C. $64
D. $12
Answer: D
Step-by-step explanation: $12
Zelda would have to pay $64 more per month than Don as per the given data. The correct option is C.
Since Don's credit score is 777, his FICO score range is 720-850, and he will be charged an interest rate of 5.59%. Thus, his monthly payment will be $860.
For Zelda, since her credit score is 709, her FICO score range is 675-699, and she will be charged an interest rate of 6.25%. Using this interest rate and the mortgage amount of $150,000, her monthly payment would be $924.
Therefore, Zelda would have to pay $64 more per month than Don. The answer is option C.
For more details regarding credit score, visit:
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A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego
Answer:
Workers in San Diego = 260 workers
Step-by-step explanation:
Total workers = 480
Number of offices = 3
In each office in different cities
New york = 90 workers
Denver = 130 workers
San Diego = x workers
Find x
Total number of workers = workers in New York + workers in Denver + workers in San Diego
480 = 90 + 130 + x
480 = 220 + x
480 - 220 = x
260 = x
x = 260 workers
Workers in San Diego = 260 workers
Answer:
Step-by-step explanation:
250
Who this also ?? Help please :)
Answer:
Step-by-step explanation:
b
b
lol
hope this helps <3
Answer:
in y=mx + b, b is the y intercept. Sp answer choice d.
Help with this plz bc I need help
Answer:
49 students in total
Step-by-step explanation:
If you were to put it on loose-leaf then 3 times 21 is 7 so you do the same with 4. 4 times 7 is 28. 28 plus 21 is 49 there would be 49 students in total.
need help asap please
Answer:
Constants
Step-by-step explanation:
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answer:
Its Going to be -4
Step-by-step explanation:
I would greatly appreciate some help with this problem.
Answer: I think C
Step-by-step explanation:
help anyone ?????????????
Answer:
4
Step-by-step explanation:
Answer:
1/4 is the answer
Step-by-step explanation:
just look at it show you that it is 1/4
hi can someone please help me
Answer:
Volume = 1436.8 cm³
Step-by-step explanation:
Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
For a sphere which has the radius = 7 cm
Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]
= 1436.76
≈ 1436.8 cm³
Therefore, volume of the sphere is 1436.8 cm³.
In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.
Solve this equation. Please show work.
log(4m-10)=1
Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]
6. Check if the solution is in the defined range so ... m=5
Sari opened a savings account with $150.00. The account earns interest at a rate of 6% compounded annually.
The table below shows her account balance at the end of each of the first three years.
If Sari makes no additional deposits or withdrawals, which of the following will be closest to her account balance at the end of year 6?
$184.65
$189.37
$200.73
$212.77
Step-by-step explanation:
A = P(1 + r)^t
= $150.00 * (1 + 0.06)^6
= $212.77.
Hence Sari will have $212.77 at the end of year 6.
Will the given side lengths form a right triangle?
1, 2, 5
Step-by-step explanation:
For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)
Since 1² + 2² =/= 5², (5 =/= 25)
it will not form a right triangle.
Another Explanation:
Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.
??? I have no idea what this unit is about
Answer: -16.1
Step-by-step explanation: Multiply.
(-7) * 2.3-16.1If you could help I would really appreciate it, but if not that’s fine. Thank you.
I need helppppppppppppppppppppp
Answer: x=20.6 miles and y=$22.05
Step-by-step explanation: Good luck!