Answers
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
Related Questions
Write the equation in standard form that has a slope of -5/2 and a y-intercept of -2
Answers
Answer:
y = -5/2 x - 2
Step-by-step explanation:
The standard form of equation of a line is expressed as;
y = mx+c
m is the slope
c is the yintercept
Given
m = -5/2
c = -2
Substotute into the exoression above
y = -5/2 x + (-2)
y = -5/2 x - 2
Hence the equation in standard form is y = -5/2 x - 2
Monica deposit 300 into a savings account that pays a simple interest rate of 4.3% call deposit 400 and into the savings account that pays simple interest rate of 4.2% Monica says she warren more interest in one year because her interest rate is higher is she correct
Answers
Answer:
No
Step-by-step explanation:
MONICA:
Principal, p = 300
Simple interest, r = 4.3% = 0.043
CALL:
Principal, p = 400
Simple interest, r = 4.2% = 0.042
Amount, A received by each after one year :
Recall:
A = p(1 + rt) ; time, t = 1 year
MONICA:
A = 300(1 + 0.043(1))
A = 312.9
CALL = 400(1 + 0.042(1))
A = 416.8
Monica is incorrect, this is because amount earned is not only dependent on the interest rate but also the number of period and the initial or principal amount deposited.
1. A salesperson will earn a commission equal to 1/10 of the
total sales. What is the commission earned on sales totaling
$26, 000?
Answers
Answer:
Step-by-step explanation:
1/10=0.1
if the total sales is 26,000
the commission will be 26,000*0.1=2,600 dollars
To work out 10% of 26000, you need to divide it by 100 to find 1% and then multiply that by 10 to find 10% which is 2600.
The salesperson would earn $2600 commission per $26000 sale.
ANSWER QUICK PLZ!!!
What is the equation of the line that has a slope of -2 and passes through the point (-2, 9)? (Write your answer in slope intercept form
Answers
Answer:
y= -2x+5
Step-by-step explanation:
find y-intercept:
9=4+b
b=5
The perimeter of a rectangle is 56 meters, and its length is 15 meters. Which equation can be used to find the width of the rectangle?
50 points
Answers
Answer:
Step-by-step explanation:
2(L+B)
Where L is the length and B is the breadth.
DUE IN 30 MINS HELP PLSSS
Answers
Answer:
445 remainder 3
Step-by-step explanation:
9 × 4 = 36
40 - 36 = 4
Bring down the 0.
9 × 4 = 36
40 - 36 = 4
Bring down the 8.
9 × 5 = 45
48 - 45 = 3
Hope that helps.
2x + y=3 in Slope-Intercept Form.
Answers
Answer:
y=-2x+3
Step-by-step explanation:
y=-2x+3
just take 2x from both sides
Answer:
m = –2 b = 3
Step-by-step explanation:
5y = 3x Divide both sides by 5 to solve for y.
Pls help I will give you 15 points
Answers
Answer:
Ana still needs to read 1/5 of th journal
If 11 pens cost £1.32,
find the cost of 7 pens
Answers
Step-by-step explanation:
£1.32/11=.....a
...a*by7
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20x – 24y = -144
Answers
Answer:
y = 5/6 x + 6
Step-by-step explanation:
Solve by factoring. x2 - 49 = 0
Answers
Answer:
x=24.5 2(x + 24.5) = 0
Step-by-step explanation:
x2 - 49 = 0
+49 +49
x2 = 49
/2 /2
x = 24.5
2(x + 24.5) = 0
show that 0.252525 is a rational number
Answers
Write a number in the blank that makes this question true
43+29=__+60
Answers
Answer:
12
Step-by-step explanation:
If we fill in the blank and solve the equation, both sides will be equal
43 + 29 = 12 + 60
72 = 72
How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
Answers
Henry can expect to roll a 4 about 20 times if he rolls a fair number cube 120 times.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of rolling a 4 on any given roll is 1/6.
The expected number of times that Henry can roll a 4 is equal to the probability of rolling a 4 on a single roll multiplied by the number of rolls.
Expected number of times to roll a 4 = Probability of rolling a 4 on a single roll × Number of rolls
Expected number of times to roll a 4 = (1/6) × 120
Expected number of times to roll a 4 = 20
Therefore, Henry can expect to roll a 4 about 20 times if he rolls a fair number cube 120 times.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ6
solve for 5^2+2(4)+8+4
Answers
$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.
I = $60, P = $750, r = 4%, t = ?. Find the amount of time. (sorry I added this one as well the other time I asked this no responded but you don't have to answer this if you want)
Answers
Question 1)
Given
Interest I = $18
Principle P = $200
t = 1.5 years
To determine
Interest rate r = ?
Using the formula
[tex]P = Irt[/tex]
[tex]r=\frac{I}{Pt}[/tex]
susbtituting I = 18, t = 1.5 and P = 200
[tex]r=\frac{18}{\left(200\times 1.5\right)}[/tex]
[tex]r = 0.06[/tex]
or
r = 6% ∵ 0.06 × 100 = 6%
Therefore, we conclude that the interest rate required to accumulate simple interest of $18.00 from a principal of $200 over 1.5 years is 6% per year.
Question 2)
Given
Interest I = $60
Principle P = $750
Interest rate = 4% = 0.04
To determine
Time period t = ?
Using the formula to calculate the time period
[tex]P = Irt[/tex]
[tex]t\:=\:\frac{P}{Ir}[/tex]
[tex]t=\frac{60}{\left(750\times 0.04\right)}[/tex]
[tex]t = 2[/tex] years
Therefore, the time required to accumulate simple interest of $ 60.00
from a principal of $ 750 at an interest rate of 4% per year is 2 years.
(1/2)^-3 what’s the answer
Answers
Answer: the answer is 8
Step-by-step explanation: hope this helps, have a good day!
Steve sold 252 fruit baskets for a school fundraiser. Evie sold 25 fruit baskets for each 100 baskets that Steve sold. How many fruit baskets did Evie sell?
Answers
Answer:
63 baskets
Step-by-step explanation:
Given data,
Steve sold = 252 baskets
Evie sold = 25 fruit basket for each 100 basket sold by Steve
So, Evie is selling 25% of baskets sold by Steve.
We can calculate the total number of basket sold by Evie by using following formula,
Evie total basket sold = Percent sold by Evie × Basket sold by Steve
By putting the value, we get
Evie total basket sold = 25% × 252
= 63 baskets
what is 6x-12-x+8=2(x-14) NEEED THIS ASAP!!!!!!!!!!!!!
Answers
Answer:
x = - 8
Step-by-step explanation:
Based On A Math Calculator Online
In one day the National Civil Rights Museum in Memphis Tennessee admitted 321 people and collected $1590. The price of admission is $6 for adults and $4 for children under 13. How many adults and how many children were admitted to the museum that day?
Answers
Answer:
Step-by-step explanation:
a + c = 321
6a + 4c = 1590
c = 321 - a
6a + 1284 - 4a = 1590
2a = 306
a = 153
c = 168
Which is the value of x?
Answers
Answer/ Step-by-step explanation:
x = 28
Opposing angles are equal to each other. So, to solve this, use reverse order of operations.
63 + 21 = 84
84 ÷ 3 = 28
So x = 28
A zookeeper is 6 1/4 feet tall. A young giraffe in his care is 9 3/8 feet tall how many times as tall as the zookeeper is the giraffe?
Answers
Answer: The giraffe is 1.5 times tall as the zookeeper.
Step-by-step explanation:
Given: Height of Giraffe = [tex]9\dfrac38\ feet =\dfrac{72+3}{8}\ feet =\dfrac{75}{8}\ feet[/tex]
Height of zookeeper= [tex]6\dfrac14\ feet =\dfrac{24+1}{4}\ feet =\dfrac{25}{4}\ feet[/tex]
Let n = number of times the giraffe is tall as the zookeeper.
[tex]n=\dfrac{\dfrac{75}{8}}{\dfrac{25}{4}}=\dfrac{75\times4}{25\times8} = 1.5[/tex]
Hence, the giraffe is 1.5 times tall as the zookeeper.
Five girls in a homeroom class of 20 students have blonde hair. If there are 120 students in the school, how many would you predict are blonde haired girls?
Due by friday
Answers
Answer:
30
Step-by-step explanation:
120 / 20 = 6
5 × 6 = 30
30 blonde haired girls
A department store buys 500 shirts at a cost of $12,000 and sells them at a selling price of $30 each.
Find the percent markup
The percent markup is % (Round to the nearest winole number as needed.)
Help
Answers
Answer:
25%
Step-by-step explanation:
A department store buys 400 shirts at a cost of $6,400 and sells them at a selling price of $20 each. Find the percent markup.
I couldn't seem to calculate: A department store buys 500 shirts at a cost of $12,000 and sells them at a selling price of $30 each.
Find the percent markup
The percent markup is % (Round to the nearest whole number as needed.)
Please Help!!
What does x equal?
Answers
Answer:
x=25
Step-by-step explanation:
60°+95°+X=180°
X=180°-60°+95°
X=180°-155
X=25°
The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.
By what percent did the estimate vary from actual turnout?
Answers
Answer:
20%
Step-by-step explanation:
7000-5600=1400
1400/7000×100=20
Answer:
20%
Step-by-step explanation:
The sum of 3 times a number and 6 is 9.
Answers
Answer:
3
Step-by-step explanation:
9-6=3 it should be 3, let me know if not
Find the value of x and y in the parallelogram below
Answers
Answer:
y = 41
x = 64
Step-by-step explanation:
A juice box has 20% more juice in its new package the original package held 12 ounces of juice how much juice does the new package hold
Answers
Take 12* 20% = 2.4
Then add that to the 12 oz
What is an example of a positive conformity!!
Answers
Answer:
Examples of obedience in daily society involve driving to the left (or to the right depending on the country), inviting other people to the road with a 'hello' when we see them.
Step-by-step explanation:
Hope this helps
