The equation x + y = 10 represents a linear relationship that spans all real numbers in both x and y directions. Thus, the domain and the range for this function are both all real numbers.
Explanation:The equation for the set F is x + y = 10, which is a straight line on a graph. This line extends infinitely in both directions, meaning that there is no restriction on the possible values of x (the domain) and y (the range). Therefore, the correct answer for both domain and range would be 'All Real Numbers'.
To visualize this, imagine you plug in any number for x and solve the equation for y. Similarly, you can do the same, guessing a y-value and solving for x. No matter the number chosen, there will always be a corresponding number on the other side, whether positive, negative, or zero.
Remember that a domain is the set of all inputs (or 'x' values) that a function can accept, and a range is the set of all possible outputs (or 'y' values) that the function can produce. In this example, the function can handle and generate all real numbers, so its domain and range are all real numbers.
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If there is a 25% discount, what percent of the original price must a customer pay
Answer: 75% Of the original price
Step-by-step explanation:
Pick the correct description of the line y=-5/3x
This line is in slope intercept form y = mx+b
Since we can write it as y = (-5/3)x + 0
m = -5/3 is the slope
b = 0 is the y intercept
The two points (0,0) and (3,-5) are on the straight line.
Find the equation of the line below.
y=1/2x is your answer :)))
Answer:
y=1/2x is your answer :)))
Step-by-step explanation:
Hazel and Jody received their monthly cell phone bills on Thursday.
Hazel's bill showed that she had a balance of -14 minutes of talk time remaining, which meant she went over her limit.
Jody's bill showed that he had a balance of 20 minutes of talk time remaining.
What is the difference between the remaining number of minutes?
A.
34 min
B.
6 min
C.
3 min
D.
39 min
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The correct answer choice is A. 34 min.
Find the difference (subtraction):
20 - -14 = 34
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I think it’s D. But I’m not 100 sure
A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpole's shadow is 30 feet at a certain time of day, how long is the building's shadow at that time? PLEASE HELP
Answer:
hard question
Step-by-step explanation:
To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?
Answer:
You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex]
Explanation:
To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign
This means that:
The conjugate of a + b would be a - b
Now, the given expression is [tex]\frac{2}{\sqrt{13}+\sqrt{11}}[/tex]
Consider the denominator:
From the above, we can conclude that the conjugate of [tex]\sqrt{13}+\sqrt{11}[/tex] is [tex]\sqrt{13}-\sqrt{11}[/tex]
And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value
Therefore:
You should multiply the expression by [tex]\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}[/tex] in order to rationalize the denominator
Hope this helps :)
Answer:
[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]
Step-by-step explanation:
We are given the following expression and we are to determine the expression that we need to multiply it with in order to rationalize the denominator:
[tex] \frac { 2 } { \sqrt { 13 } + \sqrt { 11 } } [/tex]
To rationalize its denominator, we must multiply it with its conjugate.
For the denominator of the given expression, its conjugate would be [tex] \sqrt { 13 } - \sqrt { 11 } [/tex].
So to rationalize the expression, we would multiply it with:
[tex] \frac { \sqrt { 13 } - \sqrt { 11 } } { \sqrt { 13 } - \sqrt { 11 } } [/tex]
Help me accidentally checked in
Answer: b) 16
Step-by-step explanation:
[tex]64^{\frac{2}{3}}=(2^6)^{\frac{2}{3}}=2^{\frac{12}{3}}=2^4=2\cdot \cdot 2\cdot 2\cdot 2=\boxed{16}[/tex]
Answer:
[tex]\boxed{\bold{16}}[/tex]
Step By Step Explanation:
Factor: [tex]\bold{64=4^3}[/tex]
[tex]\bold{\left(4^3\right)^{\frac{2}{3}}}[/tex]
Apply Exponent Rule [tex]\bold{\left(a^b\right)^c=a^{bc}: \ \left(4^3\right)^{\frac{2}{3}}=4^{3\cdot \frac{2}{3}}=4^2}[/tex]
[tex]\bold{4^2}[/tex]
Refine
[tex]\bold{16}[/tex]
a small airplane flies 750 miles with an average speed of 300 miles per hour. 1 hour after the plane leaves, a Boeing 747 leaves from the same point. both planes arrive at the same time, what was the average speed of the 747
Final answer:
To calculate the Boeing 747's average speed, you subtract the one hour it departs after the small plane from the total travel time of the small plane and divide the same distance of 750 miles by this new time. The 747's average speed is found to be 500 mph.
Explanation:
The question asks for the average speed of a Boeing 747 that departs one hour after a small airplane and arrives at the same time. The small airplane travels 750 miles at an average speed of 300 miles per hour (mph). To find the average speed of the 747, we first calculate the time it takes for the small airplane to reach the destination:
Time = Distance ÷ Speed = 750 miles ÷ 300 mph = 2.5 hours
The 747 leaves an hour later, so its travel time is 2.5 hours - 1 hour = 1.5 hours. The 747 covers the same 750 miles in this shorter time frame:
Average speed of 747 = Distance ÷ Time = 750 miles ÷ 1.5 hours = 500 mph
The computed result is that the 747's average speed is 500 mph to cover the same distance and arrive simultaneously with the small airplane.
There are 56 students going on a field trip to the science center. The students tour the center in groups of 8 how many groups of students are there
Answer:
There would be 7 groups of students because 56 divided by 8 students gives you 7 groups.
Step-by-step explanation:
Answer:
7 groups 56÷8=7 that is the answer
Which of the following options is true about the solution to the given set of equations
y=6x + 9
y=6x + 2
Answer:
y=6x + 9
Hope this helped!
Hayley Baked A Cheescake. She used 5/8 pound cream cheese, 4/16 pound sugar, and 6/8 pound peaches. How much did the ingredients weigh altogether?
8 is a factor of 16, so you would multiply the numerator and denominator of 5/8 and 6/8 by 2. this would be 10/16 and 12/8. add all of the numbers together = 10+12+4 which equals 26. it’d be 26/16 or 1 and 10/16.
Answer:
1[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
equation: [tex]\frac{5}{8}[/tex]+[tex]\frac{14}{16}[/tex]+[tex]\frac{6}{8}[/tex]=x
but we cannot solve this because not all of the fractions have an equal denominator. so, we can multiply [tex]\frac{5}{8}[/tex] and [tex]\frac{6}{8}[/tex] each by two.
why?
because 8x2 is 16 and if you multiply them you get a common denominator of 16, making it way easier to add up the fractions.
so, what you do to the top you do to the bottom:
[tex]\frac{5}{8}[/tex] [tex]\frac{x2}{x2}[/tex] [tex]\frac{10}{16}[/tex] [tex]\frac{6}{8}[/tex] [tex]\frac{x2}{x2}[/tex] [tex]\frac{12}{16}[/tex]
so, [tex]\frac{10}{16}[/tex]+[tex]\frac{12}{16}[/tex]+[tex]\frac{4}{16}[/tex] equals to [tex]\frac{26}{16}[/tex].
[tex]\frac{26}{16}[/tex] = 1 [tex]\frac{10}{16}[/tex].
however 1[tex]\frac{10}{16}[/tex] can be simplified more.
divide top and bottom by 2 and get 1[tex]\frac{5}{8}[/tex]
the picture would be the work shown. messy kuz i used paint from windows with a mouse but tried to make it neat as possible.
plz give me a brainliesttttt
which answer choice is equivalent to the expression 3x-1/2?
guys oml please help me i am failing this class and i need to get all 400 points of the extra credit assignment. PLEASE )):
You can substitute a number in for x and compare the answer choices (not the most efficient way but it's how I would do it). Let's just say x = 5. Then the expression would equal 0.25819889. Substitute 5 in for x is the answer choices and see which one is the same.
A) simplified is 0.004 repeating
B) simplified is 0.25819889
C) simplified is 0.12
D) simplified is 1.341640786
We can see that B is the right answer
Find the area of a 6-gon with side length 10. Round to a whole number.
Answer:
Area = 260
Step-by-step explanation:
The formula for the area of a 6-gon is
Area = 3*sqrt(3) * side^2 / 2
side = 10
Area = 3 * 1.7321 * 100/2
Area = 259.8
Area = 260
find missing number. show work. 120-35=100-?=60+?
Answer:
15 and 25
Step-by-step explanation:
First find 120-35=85
so 100-?=85 so ?=15
and 60+?=85 so ?=25
Answer: 120-35= 100 - 15 = 60 + 25
Step-by-step explanation:
You are just trying to make them all equal to 85 because the original sum of 120-35 is 85. so you are setting the rest of the equations to 85 as well.
Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the speed of the other, and that is why it arrived at the suburb 1 hour before the other car. Find the speeds of both cars.
Answer:
V1 = 60 km/h
V2 = 40 Km/h
Step-by-step explanation:
The speed of an object is defined as
Speed = distance / time
Let
V1 be the speed of the faster car
V2 be the speed of the other car
t1 the time it took for the first car to arrive
t2 the time it took for the second car to arrive
d1 the distance traveled by first car
d2 the distance traveled by second car
We know thanks to the problem that
V1 = V2 + 20 Km/h
t1 = t2 - 1 hour
d1 = d2 = 120 Km
d1 = V1 * t1
d2 = V2* t2
V1 * t1 = V2* t2
V1* t1 = (V1 -20)*(t1 +1)
The system of equations
(V1 -20)*(t1 +1) = 120
V1 * t1 = 120
120 + (120/t1) -20*t1 = 140
(120/t1) -20*t1 = 20
Which gives,
t1 = 2
This means
V1 = 60 km/h
V2 = V1 - 20 Km/h = 40 Km/h
Answer: 60 km/h, and 40 km/h
Step-by-step explanation:
Chad's family traveled [tex]\frac{5}{8}[/tex] of the distance to his grandmother’s house on Saturday. They traveled [tex]\frac{1}{3}[/tex] of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
a whole or 1, is when the numerator and denominator are the same, namely 2/2, 3/3, 10000/10000 is a whole.
on Saturday they travelled 5/8 of the way, now, the whole being 8/8, so if we take 5/8 from 8/8, we're simply left with 3/8, that's the remaining distance to grandmas house.
on Sunday they travelled 1/3 of that remaining amount, how much is that? well, is simply their product,
[tex]\bf \cfrac{3}{8}\cdot \cfrac{1}{3}\implies \cfrac{3}{3}\cdot \cfrac{1}{8}\implies \cfrac{1}{8}[/tex]
Claire got 17 out of 20 questions correct on her vocabulary quiz. What percent of the questions did she get right
Answer: The correct answer is 85%
Step-by-step explanation:
If you divide 17 by 20 then you'll get 0.85 which is the same as 85%.
17 ÷ 20 = 0.85, OR, 85% ← Work* Hopefully this helps:) Mark me the brainliest:)!!!
Claire got 85% of the questions correct on her vocabulary quiz by answering 17 out of 20 questions correctly.
Claire got 17 out of 20 questions correct on her vocabulary quiz. To calculate the percentage of questions Claire got right, you would use the following formula:
Percentage Correct = (Number of Correct Questions \/ Total Number of Questions) x 100%
Applying Claire's numbers to this formula:
Percentage Correct = (17 \/ 20) x 100% = 0.85 x 100% = 85%
Therefore, Claire got 85% of the questions correct on her quiz. This is a high percentile, which indicates she did very well, considering that seventy percent of students answered 16 or fewer questions correctly and thirty percent of students answered 16 or more questions correctly. A higher percentile is generally considered good, as it means answering more questions correctly, which is desirable.
5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5
Answer:
152,587,890,625
Step-by-step explanation:
5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5=[tex]5^{16}[/tex]
[tex]5^{16}[/tex]=152,587,890,625
Answer:
152,587,890,625
Step-by-step explanation:
I don't know if your joking nor not but this is the answer if your weren't <#3
Write an algebraic expression for “12 less than the quotient of 12 and a number z.”
[tex] \frac{12}{n} - 12[/tex]
Final answer:
An algebraic expression for '12 less than the quotient of 12 and a number z' is represented by the mathematical expression (12/z) - 12.
Explanation:
To write an algebraic expression for "12 less than the quotient of 12 and a number z," you need to understand how to translate the words into a mathematical expression. The quotient of 12 and a number z is written as 12/z. To represent 12 less than this quotient, you simply subtract 12 from it, thus the expression becomes (12/z) - 12.
what percent of 5 is 7.4
148% soooo yeah that is the answer
Answer:
Step-by-step explanation:
Can you help me with this?
Volume is L x W x H. Since the three dimensions are all multiplied by each other it doesn't matter the order.
This means the answer would be D.
What is the area of the polygon? Please help me.
Break it down into shapes you know. There's a triangle and a rectangle. The area of a rectangle is l*w and in this case it's 5*6 or 30 units². The area of a triangle is 1/2b*h and in this case that is 1/2 * 6 * 3 or 9 units². Add the areas together to find the total area, which is 39 units².
an actor will earn d dollars this year. His agent Collects a Commission of 10% of all his earnings. which expression shows how many dollars the actor will earn this year after the agent's commission is Deducted?
Answer: d - (d x .1)
Step-by-step explanation: The expression that will show how much the actor will earn is d - (d x .1). D is the actor’s earnings and d x .1 is the commission of their agent.
Final answer:
The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is d - 0.1d. The agent collects a commission of 10% of the actor's earnings, which is subtracted from the total earnings.
Explanation:
The expression that shows how many dollars the actor will earn this year after the agent's commission is deducted is:
d - 0.1d
Since the agent collects a commission of 10% of the actor's earnings, we can multiply the earnings by 0.1 to find the amount of commission. Subtracting this amount from the total earnings gives us the amount the actor will earn after the commission is deducted.
Which of the following is a point slope equation of a line that passed through the points (10,5) and (4-7)
Answer:
y - 5 = 2(x - 10)Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (10, 5) and (4, -7). Substitute:
[tex]m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2[/tex]
[tex]y-5=2(x-10)[/tex]
you are making a fresh fruit salad using cantaloupe how much cantaloupe (AP) would you have to order if you needed 15 pounds (EP) and if canaloupe has a 55 percent yield?
Answer:
You would need to order 28 pounds. (27.27...)
Step-by-step explanation:
Let x be the number of cantaloupe. Then, 0.55x-=15.
0.55x=15
55x=1500
11x=300
x=300/11
x=27.27...
To make fruit salad using cantaloupe, you would need to order 28 pounds (AP) if you only need 15 pounds (EP) and the cantaloupe has a 55% yield.
Explanation:To determine how much cantaloupe (AP) you would need to order, you need to consider the yield percentage. If the cantaloupe has a 55% yield, it means that 55% of the cantaloupe will be usable. So, you need to order more than 15 pounds (EP) to account for the reduced yield.
To calculate the amount of cantaloupe (AP) to order, you can use the formula:
AP = EP / Yield Percentage
Using the given values, the calculation would be:
AP = 15 pounds / 55% = 27.27 pounds
Rounded up to the nearest whole number, you would need to order 28 pounds of cantaloupe (AP) to obtain 15 pounds (EP) with a 55% yield.
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Plz help me get the right answer for these I hate math -.-
Answer:
The answer C. y=60x+120
Step-by-step explanation:
By using desmos, you can see the plotted points and what goes correctly into the line.
6 is what percent of 8
The number 6 is 75 percent of 8
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We need to find the number that is state 25% of number is 1.
Let the unknown number is represneted by b.
It can be written by;
x% x 8 = 6
6/8 = 0.75
0.75 x 100
x= 75%
Therefore, the percent would be 75%
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Subtract.
(5x^2 - 3x - 2) - (-2x^2 - +10)
Express the answer in standard form.
Enter your answer in the box
Answer:
7x^(2)-3x+8
Step-by-step explanation:
(5x^(2) - 3x - 2) - (-2x^(2) - +10)
(5x^(2))- (-2x^(2))=7x^(2)
(- 2)-(+10)=+8
7x^(2)-3x+8
Final answer:
To subtract (-2x² + 10) from (5x² - 3x - 2), change the signs of the second polynomial and combine like terms. The final result is 7x²- 3x - 12.
Explanation:
The question asks to subtract one polynomial from another, specifically to subtract (-2x²+ 10) from (5x² - 3x - 2). The subtraction of polynomials involves changing the signs of the polynomial being subtracted and then combining like terms. The process will be as follows:
First, change the signs of the second polynomial: -(-2x²) becomes +2x², and -(+10) becomes -10.
Then, combine the like terms with the first polynomial: (5x² + 2x²) becomes 7x², -3x stays the same as there are no like terms, and (-2 - 10) becomes -12.
Therefore, the answer in standard form is 7x²- 3x - 12.
(X+1)^3/2-2=25 solve
Answer:8
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.Raise each side of the equation to the 2 /3 power to eliminate the fractional exponent on the left side.
Solve the equation for x .
Answer:
[tex] x = 8 [/tex]
Step-by-step explanation:
[tex] (x + 1)^\frac{3}{2} - 2 = 25 [/tex]
[tex] (x + 1)^\frac{3}{2} = 27 [/tex]
[tex] \left((x + 1)^\frac{3}{2} \right)^\frac{2}{3} = 27^\frac{2}{3} [/tex]
[tex] x + 1 = 3^2 [/tex]
[tex] x + 1 = 9 [/tex]
[tex] x = 8 [/tex]
Choose the graph that matches the following system of equations:
4x + 2y = −2
x − 3y = 24
A) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 0 and negative 6 comma 10
B) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 3 and negative 2 comma 7
C) a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6
B) a line includes points 0 comma negative 1 and 1 comma negative 5. A line includes points negative 1 comma negative 9 and 2 comma negative 6
Answer:
Option C.
Step-by-step explanation:
we have
[tex]4x + 2y = -2[/tex] -----> equation A
[tex]x-3y=24[/tex] -----> equation B
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
see the attached figure
The intersection point is (3,-7) -----> is a common point both lines
The point (1,-3) belong to the line A
The point (6,-6) belong to the line B
therefore
a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6