Answer:
The rule representing the function is [tex]f(x)=(x+3)^2[/tex].
Step-by-step explanation:
We are given,
The ordered pairs for the function are (1, 16), (2, 25), (3, 36), (4, 49), and (5, 64).
It is required to find the rule representing the function.
Now, we see that,
[tex]16=(1+3)^2[/tex]
[tex]25=(2+3)^2[/tex]
[tex]36=(3+3)^2[/tex]
[tex]49=(4+3)^2[/tex]
[tex]64=(5+3)^2[/tex]
From the pattern,we get the function is [tex]f(x)=(x+3)^2[/tex].
Hence, the rule representing the function is [tex]f(x)=(x+3)^2[/tex].
a pitcher could hold 1/8 of a gallon of water. If John filled up 9 pictures how much water would he have
On a scale drawing with a scale of 1/80, the height of a building is 9.75 inches. How tall is the actual building?
What does x equal? 3(14x-15)=-72
What is the answer to 5/6 - 3/12=
On a scale drawing with a scale of 1 cm: 3 m , the height of a tree is 5 cm. How tall is the actual tree?
deshawn deposited $6500 into a bank account that earned 11.5percent simple interest each year . he earned $4485 in interest befour closing the account. if no money was deposited into or withdrawn from the account, for how many years was the money in the account round the answer to the nearest whole year
The money was in the account for 6 years.
Explanation:To find the number of years the money was in the account, we can use the formula for simple interest: I = P * r * t, where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years. We are given that Deshawn earned $4485 in interest and the interest rate is 11.5%. Let's plug in these values and solve for t:
4485 = 6500 * 0.115 * t
Simplifying the equation gives us:
t = 4485 / (6500 * 0.115) ≈ 6.1337
Rounding to the nearest whole year, we can conclude that the money was in the account for 6 years.
At Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument? 93 students 130 students 217 students 290 studentsAt Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument?
Answer:
93 students
Step-by-step explanation:
We need to calculate the 30% of 310 students.
We can calculate with a direct rule of 3. If the 100% is 310 students, how many students are the 30%?
[tex]100 -\!\!\!-\!\!\!- \text{310 students}\\ 30 -\!\!\!-\!\!\!- \text{x students}[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {30 * 310}{100} \\ \\ x = \frac {9,300}{100}\\[/tex]
x = 93
93 students play an instrument at Southside Middle School.
how to divied and multiply fraction but in word problems
which is a solution of the inequality y < x - 8
A solution to the inequality 'y < x - 8' is any point where the y-value is less than the x-value minus 8. An example solution is the point (10, 1). To find all solutions, one would graph the boundary line y = x - 8 and shade the region below it, without including the line itself.
Explanation:The question 'which is a solution of the inequality y < x - 8' falls within the subject of Mathematics, specifically under the topic of inequalities in algebra. A solution to this inequality is any ordered pair (x, y) where the y-value is less than the x-value minus 8. For example, if x is 10, then y must be less than 2 to satisfy the inequality, such as the point (10, 1).
To visualize this, you would graph the line y = x - 8 and then shade the region below this line on a coordinate plane. The shaded region represents all the points where the y-coordinate is less than the x-coordinate minus 8, thus showing all the potential solutions to the inequality. Points on the boundary line are not included since the inequality is strictly less than, not less than or equal to.
Danika and Karen bought a pizza that was cut into 8 slices. If Danika ate 3/4 of the pizza, how many slices were left for Karen?
Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie run
Simplify.
(–24ab) ÷ (–3)
Consider the two functions shown here. Which function has the greater rate of change? Explain your answer.
A) Function 1, because the rate of change is 2.
B) Function 2, because the rate of change is ½.
C) Function 2, because the rate of change is 7.
D) Function 1, because the rate of change is ½ .
Answer: The answer is A- Function 1, because its rate of change is 2.
Round 35,894 to the greatest place
Lee,Shawn, and Jade share a box of 754 beads. The ratio of Lee's share of beads to Shawn's share of beads is 4:3. The ratio of Shawn's share of beads to Jade's share of beads is 9:5. How many beads does Lee have?
The side length of a cube is √7 cm.
Which answer is a rational value?
The volume.
The perimeter of the front square.
The diagonal of the back square.
The total area of the top and bottom squares.
Which of the following equations represents the greatest value of x?
Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
Equation 3
Step-by-step explanation:
Equation 1= 17.5 (35 divided by 2)
Equation 2= 21.3333... (64 divided by 3)
Equation 3= 41.666... (125 divided by 3)
Equation 4= 19 (38 divided by 2)
a manager purchased a total of 21 coffee mugs and key chains. each coffee mug cost $8.50, and each key chain cost $2.75 . if manager spent total of $132.50, how many coffee mugs did the manager purchase
The manager purchased 13 coffee mugs.
Explanation:To find the number of coffee mugs purchased, we can set up a system of equations. Let's say the number of coffee mugs is represented by x and the number of key chains is represented by y. We have two pieces of information:
1. The total number of items purchased is 21: x + y = 21
2. The total cost of the purchase is $132.50: 8.50x + 2.75y = 132.50
Now we can solve this system of equations to find the value of x, which represents the number of coffee mugs:
Multiplying the first equation by 8.50, we get: 8.50x + 8.50y = 178.50
Subtracting the second equation from this new equation, we get: 8.50x + 8.50y - 8.50x - 2.75y = 178.50 - 132.50
Simplifying, we have: 5.75y = 46
Dividing both sides of the equation by 5.75, we find: y = 8
Substituting this value into the first equation, we can solve for x: x + 8 = 21
x = 13
Therefore, the manager purchased 13 coffee mugs.
Lie needs 15 pieces of string 1/2 of an inch long. She cut a 6 inch piece of string into pieces that are each 1/2 of an inch long. How many more pieces of string does she need?
Need help with this problem thx!!!!!!
Max bought a package of hamburger that weighs 5 1/3 pounds. He needs 1/3 of that amount for a recipe.
How much hamburger does Max need for his recipe?
Express your answer in simplest form.
Marc is running 5 kilometers at track practice. He decides to break the run into 3 equal lengths. How long will each length be?
Each length of the track practice will be 1.67 kilometers.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Marc is running 5 kilometers at track practice.
And, He decide to break the run into 3 equal lengths.
Now,
Since, Marc is running 5 kilometers at track practice.
And, He decide to break the run into 3 equal lengths
So, The length of each track practice = 5 / 3
= 1.67 kilometer
Thus, Each length of the track practice will be 1.67 kilometers.
Learn more about the divide visit:
https://brainly.com/question/25018554
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Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160.16 $165.00 $170.50 $174.46
The function w(x) = 60x represents the number of words w(x) you can type in x minutes, how many words can you type in 9 minutes
Answer:540 words
Step-by-step explanation:
Given : The function [tex]w(x) = 60x[/tex] represents the number of words w(x) you can type in x minutes.
Then to find the number of words typed in 9 minutes , we need to pit x= 9 in the function .
The number of words can be typed in 9 minutes : [tex]w(9) = 60(9)=540[/tex]
Hence, we can type 540 words in 9 minutes .
A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed into the pool and begins adding water at a rate of 1250 gallons per hour. Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed into the pool until it is full.
20000-5000=15000
15000/1250=12
it will take 12 hours
Solution: The figure 1 shows the graph of the volume of water in the pool over the time from when the hose is placed into the pool until it is full.
Explanation:
It is given that the capacity of the pool is 20,000 gallon and initial water in the pool is 5000 gallons. The remaining capacity of the pool is 15,000 gallons.
The water in the pool increased at the rate of 1250 gallons per hour.
[tex]\frac{15000}{1250}=12[/tex]
So tank will be full after 12 hours.
The initial water in the pool is 5000 gallons and water in the pool increased at the rate of 1250 gallons per hour. So, the volume of water in the pool is described by the equation [tex]V=5000+1250t[/tex].
First we find the value of volume function in different value of t, then plot these points in a coordinate plane and join them with a straight line.
Hence, the coordinate table and graph of the volume function is given below.
SOLVE FOR R--
r/6=5 2/3
A.34
B.30 2/3
C.20
D.17/18
What is 6 divided by 1/2 equal
According to the us census bureau 3/25 of all adults in the us visited a zoo in 2007 what percent of all adults in the us visited a zoo in 2007
Emma has 53 marbles she gets some marbles from Fred then she gives 10 marbles to yessir she how has 58 how many does she gets from Fred
simplify and plz show work on a piece of paper