Answer:
[tex]\huge\boxed{\texttt{See Explanation}}[/tex]
Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have [tex]\sqrt{108}[/tex].
We're looking for two numbers, where
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that [tex]36 \cdot 3 = 108[/tex], so we can form this statement now.
[tex]\sqrt{108} = \sqrt{36 \cdot 3}[/tex]
We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.
[tex]\sqrt{36} = 6\\6\sqrt{3}[/tex]
Hope this helped!
determine if the given equations are functions or not function
x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.
Step-by-step explanation:
I just did it
A function assigns the values. The correct options are C and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.
A.)
x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.
B.)
x² + y² = 81
For the given equation if the value of x is given as 0, the value of y will be,
x² + y² = 81
0² + y² = 81
y² = 81
y = ±√81
y = -9, 9
Hence, this can not be a function.
C.) y = -x + 11
For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.
D.)
y² = -5x - 12
For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.
E.)
y = 2x² - 6x + 4
The given function will return will the same value of y for 2 different values of x. Hence, this is a function.
F.)
y = -7
Since the given equation can only have the value of y as 7. Therefore, it is not a function.
Hence, the equations that are a function are y = -x + 11 and y = 2x² - 6x + 4.
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what is an equation of the line that passes through (1,4) and (-2,-2)
Answer:
:) :) :) :) :) :) :) :)
Step-by-step explanation:
-6/-3
Hi can sombody pleasee answer these and say what r, n, and y on all the equations are
85 - 7.2r = 25.24
6r - 3 = 10
170 - 4n = 130
4(2+3y) + 10 = 12
Answer:
r= 8.3
r=2.17
n=10
Step-by-step explanation:
12. Water is being pumped into a pool at a constant rate of 8.25 gallons per minute. If the pool contained 1250
gallons of water initially, write a function for the number of gallons of water, g(t),in the pool after t minutes
of pumping water into the pool.
Answer:
[tex]g(t)=8.25t+1250[/tex]
Step-by-step explanation:
You can input any value for t, and that would give you the amount of water pumped in. Then, the +1250 represents the initial 1250 gallons that are in the pool.
question is in the image but can you type out the answer :)
Answer:
H
Step-by-step explanation:
I searched it up :)
Answer:
H. {52, 72, 86, 105}
Step-by-step explanation:
Given 4 ordered pairs
The question asks for domain
The domain is the x-value of each ordered pair, and usually it is listed from least to greatest (increasing order)
Take out all of the x-values of the ordered pair 52,72,86,105
Notice that above is already in increasing order, so no further action is needed.
The domain for the situation is {52, 72, 86, 105}
the coordinates of point T are (0,2). The midpoint of ST is (7,-7). Find the coordinates of point S
Answer:
(14,-16)
Step-by-step explanation:
How do you summer camp there are 50 girls out of 80 campers what is the ratio of written as a fraction in simplest form
HURRY!!! THIS ASSIGNMENT IS ALREADY LATE! THANK YOU!
11. During an evening out, Dean paid a cab driver $20. He
then spent $25 on dinner and half of his remaining money on a painting. He bought an umbrella for $23.75 and had $42.15 left. How much money did Dean have at the beginning of the weekend?
Answer:
$176.80
Step-by-step explanation:
$42.12 (what he had left) + 23.75 = 65.90
65.90 (Amount he had after he bought the painting) + 65.90 (The other half of his remaining money he spent on the painting) = 131.80
131.80 + 25 + 20 = 176.80
= $176.80
-10, -7, -4, -1, ...
Answer:
2
Step-by-step explanation:
The pattern is +3 each time so -1 + 3 = 2
-10, -7 ,-4 , -1 ,2
Help please I have a F and I’m confused..?
Answer:
x = -4
Step-by-step explanation:
x-5 = -9
Add 5 to each side
x-5+5 = -9+5
x = -4
Answer:
A. x = -4
Step-by-step explanation:
x - 5 = -9 (plus 5 on each side to get rid on 5 on the left side) so -9 + 5
x = -4
A drivers distance varies directly as the amount of time traveled. After 6 hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
The distance traveled after 4 hours is 260 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 = 9 is an equation.
We have,
Distance ∝ Time
Distance = K x Time
Now,
390 = 6K
K = 390/6
K = 65
Now,
Distance = 65 x 4
Distance = 260 miles
Thus,
After 4 hours the distance traveled is 260 miles.
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Please answer correctly, work is optional.
how many feet is 14 meters
Answer:
45 ft. 11.18 in.
Step-by-step explanation:
Answer:
45.93176 feet
Step-by-step explanation:
1 meter = 3.28084 feet
3.28084(14) = 45.93176 feet
How many lines of symmetry does this figure have?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.
Y is between X and Z, XZ = 14, and YZ = 11.4. Find XY.
Please Help!!
Thanks
Answer:
I think should add up to 360° because supplementary angles add up to 180°and in this case we have 2 angles
Answer:
180 degrees
Step-by-step explanation:
If two angles are supplementary when their measures add up to be 180
I attached an example of supplementary angles as well you can check
NEED ANSWER ASAP FOR QUIZ
Solve the equation x2 = 5. Round to the nearest tenth.
Answer:
1.41421356
Step-by-step explanation:
I think
Answer:
Well first what times itself equals 5 if you have a calculator Find the square root symbol and put 5 inside it
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0.9)?
Answer:
y = 6x + 9
Step-by-step explanation:
Because the gradient is the same in parallel lines and the y intercept is different.
On average, Asia makes 14 out of 20 free throws. Assuming the relationship is proportional, how many more free throws is she likely to make if she shoots 150 free throws?
Answer:
105 free throws made if Asia shoots 150
Step-by-step explanation:
Find the percentage form of 14 out of 20
14 / 20 = 0.7 (70%)
Then calculate 70% of 150:
0.7 multiplied by 150 = 105
(Can check by doing 105 / 150 = 0.7)
Asia will make 1058 free throws out of a total of 150 shoots.
What is the percentage?
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
Given that,
Asia makes 14 out of 20 free throws
Percentage free throws = free throws/total × 100
Percentage free throws = 14/20 × 100
Percentage of free throws = 70%
Now,
If Asia throws 150 then with the same proportion she will again make 70% of her throw free.
So,
70% of 150 = 150 × 70/100 = 105
Hence "Asia will make 1058 free throws out of a total of 150 shoots".
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Ms. Simpson and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Ms. Simpson expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Which inequality describes the problem?
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
Step-by-step explanation:
There are 4 people splitting the gas cost equally.
Each person will pay at most $35, so the gas cost to each person can be less than $35 or equal to $35.
The total gas cost is x. The gas cost for each person is 1/4 of the total, so it is x/4.
Answer:
[tex]\dfrac{x}{4} \le 35[/tex]
The parent function, fx) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and up
two units.
Write an equation of the line with the given slope and y-intercept. slope: -7 y-intercept: 2
Answer:
y= -7x+2
Step-by-step explanation:
Answer:
y = -7x + 2
Step-by-step explanation:
The y-intercept is 2. The slope is x which is -7.
Write the equation now.
-7x + 2.
~I hope I helped you! :)~
Solve for x:
30 = 14 - 4(3 - x)
Answer:
-7
Step-by-step explanation:
First, distribute. 30 = 14 - 12 - 4x
Then, simplify and get the regular numbers one the left side.
30 = 2 - 4x 28 = -4x
Finally, divide both sides by -4 to get x by itself.
-7 = x
The Nature of Roots Of a Quadratic Equation help me with these pls
if you answer correctly i'll mark you as brainliest answer
Problem 1
Answers:
Real = sqrt(49), 5/6, 12.5, 8/12, 225, sqrt(24)/16, sqrt(32)
Not real = sqrt(-20) and sqrt(-16)/9
---------------
Explanation:
Anything involving a square root of a negative number will result in a non-real answer. Anything else is real.
Traditionally y = sqrt(x) has a domain of nonnegative numbers. If x >= 0, then y is some real number. If x < 0, then we'll need to use the imaginary number i = sqrt(-1).
==========================================
Problem 2
Answers:
Rational = sqrt(49), 5/8, 12.5, 8/12, and 225
Irrational = sqrt(24)/16, sqrt(32)
---------------
Explanation:
Ignore the non-real numbers. Focus solely on the real values.
A rational number is where we can write it as a ratio of two integers. An example is 5/8 since 5 and 8 are integers. The denominator can never be zero.
Decimal values that terminate can be written as a fraction. For instance, 12.5 = 125/10.
Square roots of perfect squares are also rational. For example sqrt(49) = 7 = 7/1
Something like sqrt(32) is not rational because we can't write it in the form p/q with p,q being integers. We say it is irrational.
==========================================
Problem 3
Answers:
Perfect Squares = 225
Non-perfect squares = everything else
---------------
Explanation:
A perfect square is of the form x^2, where x is a positive integer.
The only perfect square listed is 225 because 225 = 15^2. Here x = 15.
Note: a perfect square is an integer itself.
==========================================
Problem 4
As discussed earlier, rational numbers are fractions of integers. So we have something of the form p/q where p,q are integers and q is nonzero. An example of a rational number is p/q = 7/8 with p = 7 and q = 8.
Irrational numbers are ones that cannot be written as p/q. A famous example of an irrational number is pi = 3.14, but we could do something like sqrt(17) for instance as well. The stuff under the square root must be a non-perfect square.
Perfect squares are integers in the form x^2, with x being an integer also. A visual way to think of perfect squares is to think of a square with side length x, so its area is x^2. If x = 9, then its area is x^2 = 9^2 = 81, so 81 is a perfect square. We only consider whole number side lengths.
Plss help i dont understand
solve 2m + 4m - 3m squared
On Monday, 454 students went on a trip to the zoo. All 9
buses were filled and 4 students had to travel in cars. How many students were
in each bus ?
Answer:
50 students were in each bus.
Step-by-step explanation:
We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.
Indra worked overtime for 8 hours last week. Her regular hourly wage is $7.50. Her overtime rate is 1.5 times her regular wage. How much did she earn in overtime?
Answer:90 dollar’s
Step-by-step explanation:7.5x1.5=11.25x8=90
Write 9,150,000 in scientific notation
Answer:
9.15x10^6
Step-by-step explanation:
Step-by-step explanation:
9, 150, 000 = 9.15*10^6
Aaden wants to get a subscription to a library. there are two subscription options one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
what does point Q represent in this context?
Answer:
The data we have is:
Library A charges $96 per year.
Library B charges $3 per book he borrows.
Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:
$3*X = $96
X = 96/3 = 32.
This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.
If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)
If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)
Step-by-step explanation:
Answer:
A number of books and their cost that is not possible with either subscription
Step-by-step explanation:
Point S is neither on line aaa nor line b, so it represents a number of books and a cost that is different from the combinations possible with either subscription.
* I give all of my credit to khan academy
