Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
8. The number of T-shirt sales for a new online store increases by a factor of 3
each month. The function f(x) = 3x
represents the number of T-shirts sold in
month x.
a. What is f(5)?
b. When does the store sell 81 T-shirts?
Answer:
A= 243
B=4
Its because its multiplying itself 5 times for A. And doing it 4 times for B
I think this is correct (I am only in Middle School...)
Step-by-step explanation:
(a) The number of T-shirts sold in the 5th month is 15. (b) The store sells 81 T-shirts in the 27th month.
a. To find f(5), we need to plug x = 5 into the function f(x) = 3x:
f(5) = 3 × 5 = 15
So, the number of T-shirts sold in the 5th month is 15.
b. To find when the store sells 81 T-shirts, we need to solve the equation f(x) = 81:
f(x) = 3x = 81
Now, solve for x:
3x = 81
Divide both sides by 3:
x = 81 / 3
x = 27
So, the store sells 81 T-shirts in the 27th month.
To know more about number
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Transfer into algebraic symbols: 11 less than the square of a number. Use x to represent the number.
Answer:
[tex]11-x^2[/tex]
Step-by-step explanation:
"11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
What is inequality?An inequality compares two numbers or expressions. For example, we can write -
2x + 3 > 5
2x + 9 < 1
Given is the mathematical statement as -
" the square of a number is greater than 11"
We can write the mathematical statement as an algebraic inequality as follows. Let the number be {x}. We can write -
11 < x²
Therefore, "11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
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Write the mixed number as a percent.
1 17/20
Answer Quick and i will give you brianliest
Answer:
185% .!!!!!!!!!!!!!!!!!
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer: 10x=y
Step-by-step explanation:
So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.
Estimate the square root of 296 to the nearest tenth.
Answer:
17.2
Step-by-step explanation:
Answer:
±17.20
Step-by-step explanation:
Follow Me Please
Which of the following slopes of a line passes through points (2, 3) and (4,7) ?
5
2
3
O
Answer:
2
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (7 - 3)/(4 - 2)
slope = 4/2 = 2
Answer: 2
A team won 13 games, lost 15 games, and tied 2
games. What percent of its games did the team win? I need help please!!
Answer:
43%
Step-by-step explanation:
First, find the total amount of games:
13 + 15 + 2
= 30
Then, to find the percentage of games won, divide 13 by 30:
13/30
= 0.43
So, the team won approximately 43% of its games
Answer: Approximately 43.3%
Work Shown:
13+15+2 = 30 games total
Divide the number of games won (13) over the number total (30)
13/30 = 0.433 approximately which converts to 43.3% of the games won
To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%
A salesperson at a jewelry store earns 3% commission each week. Last week, heidi sold $530 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
Heidi made $15.90 total
What is the median of this set of data?
1, 2,5,6,9.
Answer:
5
Step-by-step explanation:
it's the middle of the set of data
HELPPPPPP MEEEE!! A deep-sea diver found an amazing reef 15 kilometers below sea level. What integer would represent this situation
Answer:
-15
Step-by-step explanation:
Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.
5.46 in fraction form HURRY
Answer:
Id assume its 5 23/50..correct me if I'm wrong its been quite some time since I've dealed with decimals to fractions.
Step-by-step explanation:
Answer:
f
Step-by-step explanation:
Do you want to know how to write the decimal number 5.46 as a fraction?
Here we will show you step-by-step how to convert 5.46 so you can write it as a fraction.
You can take any number, such as 5.46, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
5.46 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.46, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
546 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 546 and 100 is 2. When we divide the numerator and denominator by 2, we get the following:
273 / 50
Therefore, 5.46 as a fractio
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
look i need the answer quick
Answer:
Step-by-step explanation:
division
Given f(x) = 2^x and g(x)=x+1, (fog)(x)=
Answer:
(f ￮ g)(x) = [tex]2^{x+1}[/tex]
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
(f ￮ g)(x)
= f(g(x))
= f(x + 1)
= [tex]2^{x+1}[/tex]
Answer:
B
Step-by-step explanation:
PLEASEEEEEE HELP ME ITS DUE TODAY Use a proportion to solve each problem.
1. Tara walks a 2 mile route through her neighborhood for
daily exercise. It takes her 30 minutes. At this rate, how far
can Tara walk in 45 minutes?
2. An infant daycare requires 1 teacher for every 4 children.
How many teachers are required for 20 children?
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
4. Arlen delivers 28 newspapers each morning. The route takes
him 40 minutes. If his route increases to 35 newspapers, how
long will it take him?
6. On a map, 1 inch represents 50 miles. You measure the
distance on the map between two towns as 3 inches
How many miles apart are the two towns?
6. Kelsey earns $5 walking her neighbors' dogs twice a week.
At this rate, how much should Kelsey cam if she walks the
dogs 6 days each week?
7. Jeff drove the first 200 miles of a trip in 3 hours. At this
rate, how long will the 500 mile trip take, with no stops?
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in
30 minutes. Do they type at the same rate? Use a proportion
to explain.
Answer:
3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes
Step-by-step explanation:
Given the questions:
1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?
Speed = distance / time ; 2 / 0.5 = 4 mph
45 minutes = 0.75 hr
Distance = speed * time = 4 * 0.75 = 3 miles
2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?
1 teacher = 4 children
x = 20 children
x = 20/4 = 5
5 teachers
3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?
2 drops of red = 3 drops of blue
4 drops of red = x
x = 12 / 2 = 6 drops of blue
4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?
40 minutes
6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?
1 inch = 50 miles
3 inch = d
d = 50 * 3 = 150 miles
6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?
Twice a week = $5
6 times a week = (6/2) * 5 = $15
7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?
Rate = distance / time = 200 / 3 = 66.667mph
time = 500 /66.667 = 7.5 hours
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?
Lisa's rate :
36 /6 = 6 minutes per page
Frank :
30 /5 = 6 minutes per page
need help with this solve or r
Answer:
C
------ = r
2pi
Step-by-step explanation:
Divide both sides by 2pi. We get:
C
------ = r
2pi
please help me im very behind
Answer:
y=1/3x-2
Remeber the slope intecpet form is y=mx+b
Hope this helps :)
Step-by-step explanation:
PLZ MARK ME BRAINIIEST THANK YOU
hii pls answer as quickly as possible i will give you the brainliest :))
Answer:
sorry
Step-by-step explanation:
I really don't know answer
Given f(x) = 3x^2+x+1
g(x)+-2x-1
find (f+g)(-2)
Answer:
38
Step-by-step:
f(-2)=3(-2)^2+(-2)+1 g(-2)=-2(-2)-1
f(-2)=-6^2+(-2)+1 g(-2)=4-1
f(-2)=36+(-2)+1 g(-2)=3
f(-2)=34+1
f(-2)=35
f+g ------- 35+3 ------- 38
please give me brainliest
What is the equation of this line
Answer:
2/3
Step-by-step explanation:
Find the 5th term of the following sequence:
f(n) = 3(-2)"
Answer:
42
Step-by-step explanation:
uih
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)
Answer:
$12,500 per year
Step-by-step explanation:
rate of change = change in dollars/change in years
So,
(245000 - 120000)/(2017 - 2007) = 125000/10 = $12,500 per year
The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?
I. If m > n the absolute value of the function approaches positive infinity as x gets very large.
II. If m < n the value of the function approaches zero as x gets very large.
III. If m = n the value of the function approaches a constant as x gets very large.
Answer:
g
Step-by-step explanation:
x goes to f m to 5 :-)
If I start with 2 and count by 8s until I reach 82, I will get: 2, 10, 18, 26, 82, ... , where 2 is the first number, 10 is the second number and so fourth. If 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
Compute $\sqrt{25^2-7^2}$.
Answer:
24
Step-by-step explanation:
[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]
Answer:
24
Step-by-step explanation:
First we compute the number under the radical.
We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.
Thus, √25² - 7² = √576 = √24², which is 24.
please help me!!!!!
Answer:
y=1
-4x + y= -3
-3 + 12= 9
y= {4}x + {3}
Step-by-step explanation:
*there is always a inviable 1 in front of a virable by it's self.*
Item 12
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The following statement is True.
The maximum height of the water balloon occurs at x = 0.The water balloon is in the air for 2 s.The maximum height of the water balloon is 64 ft.A true statement to be chosen from the following.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
From the graph, the following points are to be noted.
The water balloon is at 64 ft at x = 0.
The water balloon takes 2 sec to reach y = 0.
The water balloon has a maximum height of x = 0.
Thus, points 1,2, and 5 are true.
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5. The Hudson family went out to dinner. The meal cost $57.50. If they also left a 15% tip, approximately how much did the entire dinner cost?
Solve: with full workings
(32/243)^-4/5
Answer:
[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]
Step-by-step explanation:
Given
[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]
Required
Solve
[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]
Express 32 as 2^5 and 243 as 3^5
[tex](\frac{2^5}{3^5})^{-\frac{4}{5}}[/tex]
The exponent can be expressed as 1\5 * -4
So we have:
[tex](\frac{2^5}{3^5})^{\frac{1}{5} * -4}[/tex]
Apply law of indices:
[tex](\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}[/tex]
[tex](\frac{2}{5})^{-4}[/tex]
In indices:
[tex](\frac{a}{b})^{-c} = (\frac{b}{a})^{c}[/tex]
So, the expression becomes
[tex](\frac{5}{2})^{4}[/tex]
[tex](\frac{5^{4}}{2^{4}})[/tex]
[tex]\frac{625}{16}[/tex]
[tex]39.0625[/tex]
Hence:
[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]
Last month, Jennifer earned $143 for her after-school job. If she was paid $6.50 per hour, how many hours did Jennifer work?
A.18 hours
B.20 hours
C.22 hours
D. 24 hours
Answer:
22 hours.
Step-by-step explanation:
Using algebra:
6.5x = 143
6.5 6.5
x = 22