The value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7
What is function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given is a function, f(x) =24-2x, we need to find f(2) and value of x for which function's value is 10,
For f(2), put x = 2
f(2) = 24-2(2)
= 24-4
= 20
Therefore,
f(2) = 20
For f(x) =10
Set the function equal to 10,
24-2x = 10
-2x = -14
2x = 14
x = 7
Hence, the value of the function for x = 2 is 20 and the value of x for which function equal to 10 is 7
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Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
Answer:
A.) Deepak can only accept jobs that last 4 or more hours.
Step-by-step explanation:
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Deepak must work 4 or fewer hours to earn at least $90 per job.
Explanation:The question is asking about the inequality that Deepak, a landscaper, writes to determine the number of hours he must work during each job in order to earn at least $90 the job. We can break down the equation as follows:
Let x be the number of hours Deepak works.
The equation can be written as: $30 + $15x ≤ $90.
To solve for x, we subtract $30 from both sides: $15x ≤ $60.
Then, we divide both sides by $15: x ≤ 4.
Therefore, Deepak must work 4 or fewer hours to earn at least $90 per job.
I need help on 22-27
A sneaker store salesman had $4125 in total monthly sales lath month. He made $165 in commission from those sales.
What is the saleman’s commission as a percent of his total monthly sales?
-8x+3>=27 and -13x+5>=57
Answer: The answer I got was x≤−4.Hopefully its right:)
Katy made a card pattern with rows of cards.The table at the left shows the number or cards in each row what is the pattern rule for number of cards
i need to solve this equation: x= r-h/ y
for h and then for r
Answer:
[tex]h=r-xy[/tex]
[tex]r=xy+h[/tex]
Step-by-step explanation:
[tex]x=\frac{r-h}{y}[/tex]
Solve the equation for h
We need to get 'h' alone
[tex]x=\frac{r-h}{y}[/tex]
multiply y on both sides
[tex]xy=r-h[/tex]
Now add h on both sides
[tex]xy+h=r[/tex]
Subtract xy from both sides
[tex]h=r-xy[/tex]
Now solve the equation for 'r'
[tex]x=\frac{r-h}{y}[/tex]
multiply y on both sides
[tex]xy=r-h[/tex]
Now add h on both sides
[tex]xy+h=r[/tex]
[tex]r=xy+h[/tex]
MR.Trek made some trail mix for his backpacking team. He used 2 1/2 cups of granola, 1 3/4 cups of peanuts, 1 1/3 cups of raisins, and 1 cup of chocolate chips. How much trail mix did he make?
Please tell the answer
Plz someone help me do this, i'll award 30 point for who ever gets it right plz someone help ASAP
Graph the following piecewise function: [tex]fx = \left \{ {{x + 4} \atop {2x - 1}} \right. {{if} \atop {if}} \right. {{-4 \ \textless \ x \ \textless \ -3} \atop {3 \ \textless \ x \ \textless \ 6}} \right. [/tex]
the product of two consecutive even integers is 48 find the integers
The required integers are -8 and -6, or 6 and 8 whose the product of two consecutive even integers is 48
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer.
Let the two consecutive even integers be 2n and 2(n+1), where n = any integer.
As per the given condition, The product of the two integers is 48
2n × 2(n+1) = 48
Multiply out, and subtract 48 from both sides
4n2+4n-48=0
Divide both sides by 4
n²+n-12=0
Factor the quadratic
(n+4)(n-3)=0
n= -4 and +3
For n= -4, 2n = -8 and 2(n+1) = -6. (-8)(-6) = 48
For n=3, 2n = 6 and 2(n+1) = 8. (8)(6) = 48
Thus, the required integers are -8 and -6, or 6 and 8.
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In the talent show, 6 students plan to sing, 7 students plan to dance, and 2 students plan to tell jokes. Rick said that the ratio of singers to joke-tellers is 6 to 2. Leah said that the ratio of joke-tellers to singers is 1 to 3. Who is correct? Explain why.
Leah is correct because the ratio of 6 singers to 2 joke-tellers simplifies to 3 to 1. When we reverse this ratio to represent joke-tellers to singers, it becomes 1 to 3, which is what Leah stated
The question is asking us to compare two different ratios and decide which one is correct. Rick stated the ratio of singers to joke-tellers is 6 to 2. In its simplest form, this ratio can be reduced to 3 to 1 when we divide both numbers by 2. On the other hand, Leah stated the ratio of joke-tellers to singers is 1 to 3, which is the inverse of the first ratio.
Since the ratio of singers to joke-tellers is indeed 6 to 2, which simplifies to 3 to 1, that means for every 3 singers, there is 1 joke-teller. Therefore, Leah's statement of the ratio is correct, as it provides the simplified form while Rick gives the unsimplified form. The order of terms in a ratio is important, and Leah's presentation maintains the correct order while also presenting the simplest form of the ratio
--- Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hrs. What is the average growth of bacteria per hour?
The average growth of the bacteria per hour is [tex]10^{11}[/tex].
To find the average growth of bacteria per hour, we need to determine the rate at which the bacteria multiply per hour.
Given:
The amount of bacteria multiplies at a rate of [tex]\(10^{13}\)[/tex] per [tex]\(10^2\)[/tex] hour.
We want to find the growth rate per hour.
First, let's find out how much the bacteria multiplies per hour:
If the bacteria multiply by [tex]\(10^{13}\)[/tex] in [tex]\(10^2\)[/tex] hours, then the average growth per hour can be found by dividing the total growth in [tex]10^{13[/tex] hours by [tex]10^2[/tex].
So, the growth per hour is:
Growth per hour} = [tex]\frac{10^{13}}{10^2}[/tex]
Growth per hour} = [tex]10^{13 - 2}[/tex]
Growth per hour} = [tex]10^{11}[/tex]
Therefore, the average growth of bacteria per hour is [tex]10^{11}[/tex].
A pickup truck’s gas tank can hold 19.2 gallons and i can go 460.8 miles on a single tank of gas. How many miles per gallon does it get?
Which ratios form a proportion?
A. 4/9, 2/3
B. 6/15, 9/12
C. 12/16, 15/20
D. 18/20, 24/30
explain how the points A(9,-2/5) and B(9,2/5) are related.
9514 1404 393
Explanation:
Each is a reflection of the other over the x-axis. Their x-coordinates are the same, so they lie on the same vertical line. Their y-coordinates are opposites, so they are equal and opposite distances from the x-axis.
What is the equation in point slope form of a line that passes through the points (-8,2) and had a slope of 1/2
Answer:
[tex]y-2=\dfrac{1}{2}(x+8)[/tex]
Step-by-step explanation:
It a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex](y-y_1)=m(x-x_1)[/tex] ....(i)
It is given that line passes through the point (-8,2) and had a slope of 1/2.
We neeed to find the equation in point slope form of the line.
Substitute [tex]x_1=-8,y_1=2\text{ and }m=\dfrac{1}{2}[/tex] in equation (i).
[tex](y-(2))=\dfrac{1}{2}(x-(-8))[/tex]
[tex]y-2=\dfrac{1}{2}(x+8)[/tex]
Therefore, the point slope form of the line is [tex]y-2=\dfrac{1}{2}(x+8)[/tex].
A farmer collected eggs from the henhouse. He can put 36 eggs in a carton. A carton will hold 6 eggs in a row How many rows does the egg carton have? what type of problem is it?
A. Array Multiplication
B. Array Division
C. Equal Groups Multiplication
D. Equal Groups division with an Unknown Group Size
E. Equal Groups Division with an Unknown Multiplier
Last year there were 52 Starbucks Coffee shops in Orlando. This year they are planning on increasing their numbers by 25%. How many Starbucks Coffee shops with there be now?
OR U COULD JUST MULTIPLY .25 BY 52 BC 25% IS 0.25. AND U GET 13. 52 PLUS 13 ISSSS
62
How do you write a recursive formula
please chose which gives the lower price (coupon A or coupon B).
please explain and show how you got the answer.
Then tell how what the difference is between the two.
Please and Thank You
Good luck!!
1.56 x 10 to the 4th power in Standard notation
To write 1.56 × [tex]10^{4}[/tex] in standard notation, we will first begin with
1.56. Next, we look at the exponent. The exponent is 4 so this tells us we need to move the decimal point 4 places to the right.
1.56 → 15600.
Therefore, 1.56 × [tex]10^{4}[/tex] is written in standard notation as 15,600.
describe and correct the error in identifying the like terms in the expression
3x - 5 + 2x*2 + 9x = 3x +2x*2 + 9x - 5
like terms:3x,2x*2, and 9x
The domain of a relation is
A. the output (y) values of the relation
B. the input (x) values of the relation
C. a set of points that pair input values with output values
D. x and y values written in the form (x, y)
A theater sells adult tickets for $8.00 and children's tickets for $5.50. Sally bought some of each kind (not the same number) and paid a total of $78.50. Which equation represents this situation? A) x + y = 78.5 B) 13.5x = 78.5 C) 13.5xy = 78.5 D) 8x + 5.5y = 78.5
the output is five times the input
a store has 7 red shirts 15 black shirts and 13 white sshirts
y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?
A color called “Passion Purple”is made by mixing 5 oz of red paint and 9 oz of blue paint. What percent of Passion Purple is blue paint? ( Round to the nearest percent.)
A plumber charges $55 for a service call plus $35 per hour. If the plumber's bill was $160, how many hours was he there?
Answer:
Plumber worked for 3 hours.
Step-by-step explanation:
A plumber charges $55 for a service call plus $35 per hour.
Let he works for x hours.
Then for x hours of work charges = $35x
Since plumber charges $55 as a fixed charge so the total charges will be = 55 + 35x
This total amount charged by the plumber equals to $160
and the equation representing this situation will be
55 + 35x = 160
35x = 160 - 55
35x = 105
x = [tex]\frac{105}{35}[/tex]
x = 3 hours
Therefore, he worked for 3 hours.
Miss Marcus Bulletin Board is 7 ft long and 4 feet High she has 26 ft of board to use Miss Marcus pool supplies 7 time 4 equals 28 to find the exact amount of the board she needs she concludes that she does not have enough border board for the bulletin board do you agree
Final answer:
Yes, I agree that Miss Marcus does have enough board for the bulletin board for the given information
Explanation:
The student is trying to determine if Miss Marcus has enough board to use for her bulletin board. The student calculates the area of the bulletin board as 7 ft x 4 ft = 28 ft². However, the student concludes that Miss Marcus does not have enough board because she only has 26 feet of board to use. This is incorrect, as 26 ft is greater than 28 ft². Therefore, Miss Marcus does have enough board for the bulletin board.