Answer: The two functions are
f(x) = sqrt(64x^2+64)
g(x) = -sqrt(64x^2+64)
Graphing these together forms a hyperbola
To get these two functions, we need to solve for y
y^2 - 64x^2 = 64
y^2 = 64x^2 + 64
y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)
The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)
10x+2=32 what does x equal
Answer:
3
Step-by-step explanation:
10x + 2 = 32 minus 2
10x = 30 divided bt 10 on each side
x = 3
Answer:
x=3
Step-by-step explanation:
10x+2=32
subtract 2 from each side
10x=30
divide both by 10
x=3
Kelly bought a pair of sneakers for $ 35.00. She also bought a pile of different laces. Each set of laces, L, costs $ 3.00. Write a variable expression to show how Kelly could calculate her total cost
Answer:
Well Kelly should do L($3.00)+$35.00
The final answer depends upon how many packages of laces she buys.
A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.30. Jasmine spends $16.45 on 5 paint sets at, the sale price. What was the price of I paint set before the sale?
Answer:$4.59
Step-by-step explanation:
...
Answer:
$4.59
Step-by-step explanation:
what is 8/2(2+2) equal to?
Answer:
1
Step-by-step explanation:
what a tricky question.
pemdas- parenthesis, exponents, multiplication, division, addition, subtraction.
8/2(2+2)
add parenthesis first
8/2(4)
then multiply / distribute
2(4) is 8
finally
8/8 is 1
in the right triangle ABC below, segment BD is parallel to segment AE, and segment BD is perpendicular to segment EC at D. The length of segment AC is 20 feet, the length of segment BD is 3 feet, and the length of segment CD is 4 feet. What is the length, In feet, of segment AE?
а10
b12
с15
d16
e17
Answer:
It is a number 10 thank u very much ok ok
Does 1-3x=2x-5x+1 have a solution or no solution
Answer:
All real numbers! Basically infinity lol
Step-by-step explanation:
Find the 15th term of the arithmetic sequence whose common difference is d= 7 and whose first term is a1 = 5
Answer:
The 15th term is 103
Step-by-step explanation:
Arithmetic Sequence
An arithmetic sequence is a list of numbers with a definite pattern by which each term is found by adding or subtracting a fixed quantity to the previous term. If n is the number of the term, then:
[tex]a_n=a_{n-1}+d[/tex]
Where d is called the common difference. If we know the first term, the nth term is calculated by:
[tex]a_n=a_1+(n-1)*d[/tex]
The question asks us to find the term n=15 of an arithmetic sequence with a common difference d=7 and first term a1=5.
Applying the formula above:
[tex]a_{15}=5+(15-1)*7[/tex]
[tex]a_{15}=5+14*7[/tex]
[tex]a_{15}=5+98=103[/tex]
The 15th term is 103
What is the solution set to the inequality (4x-3)(2x-1)>0?
Answer:
(-infinity,1/2) union (3/4,+infinity)...hope it helped you
If a snail moves at a pace of .01m/s and it travels for 1 hr. How far does the snail get?
Answer:
36
Step-by-step explanation:
you multiply 0.01 by 60 because there are 60 seconds in a minute then you would multiply that by 60 for the hour because there are 60 minutes in a hour
Hayden says that 32 is a whole number because it does not repeat as a decimal. Is she correct? why or why not?
Answer:
he is not
Step-by-step explanation:
a whole number has no decimal and it is not a fraction and NO NEGATIVES 3/2is a fraction/decimal so it is not a whole number
Which expression is equivalent to the given expression? 2n−6
A) −2(n−3)
B) 6−2n
C) −4n
D) 2(n−3)
Answer:
the answer would be: D. 2(n-3)
Answer:
D) 2(n-3)
because when you distribute it's 2n-6
Do only equations with variables on both sides have no solution? Or can the variable be just on one side? Justify your answer.
Choose the correct answer below.
A.
Any equation can have one solution, infinitely many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.
B.
Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution.
C.
If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or infinitely many solutions.
D.
If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on both sides.
Answer:
A
Step-by-step explanation:
..................
The number of solutions, an equation can have is independent of the position of the variable.
An equation can have:
1 solutionInfinitely many solutionsNo solutionsIrrespective of where the variable appears
Take for instance:
[tex]x + 5 = 17 - x[/tex]
To solve this, we start by collecting like terms
[tex]x + x = 17- 5[/tex]
[tex]2x = 12[/tex]
Divide both sides by 2
[tex]x = 6[/tex]
In the above scenario, the variable (x) appears on both sides of the equation and the equation has 1 solution.
Another case scenario is as follows:
[tex]x + 5 = x[/tex]
Collect like term
[tex]x - x = -5[/tex]
[tex]0 = -5[/tex]
The above scenario shows that the equation has no solution and the variable (x) appears on both sides of the equation.
So, we can conclude that, an equation can have:
1 solutionInfinitely many solutionsNo solutionsIrrespective of where the variable appears
Hence, option (a) is correct.
Read more about solutions to equations at:
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solve, please help
Answer:
|7x+4|=24
7x=20
x=20/7
Step-by-step explanation:
-7x-4=24
-7x=28
x=-4
Solve the following equal 12x - 11 -23
Answer:
12x -34
Step-by-step explanation:
Combine values
Practice
Which equation represents the following situation?
A large box of cereal contains 5 more ounces than a small box. A large and small box combined
contain 27 ounces of cereal.
A. x + 5x = 27
B. x + (x + 5) = 27
C. x+ 5 = 27
Answer:
B.
Step-by-step explanation:
x = small box
(small box + 5 ounces) = large box.
B shows:
x + (x + 5) = 27
Small box + (small box + 5 ounces) = 27 ounces.
Small box + large box = 27 ounces.
————————————————————
Why A and C are incorrect.
A describes:
x + 5x = 27
Small box + 5 multiplied by small box = 27
(5 multiplied by small box is equivalent to 5 small boxes.)
Small box + 5 small boxes = 27
C describes:
x + 5 = 27
small box + 5 ounces = 27
Large box = 27
(We know that a small box + 5 ounces is a large box)
Write 7x10x10x10x10 with an exponent
Answer: 7x10⁴
Step-by-step explanation:
Power is the result of multiplying numbers by itself. The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
What is power?Power is the result of multiplying a numbers to itself. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written in the form of an exponent as,
7 x 10 x 10 x 10 x 10
= 7 x 10⁴
Hence, The given expression 7x10x10x10x10 is written in the form of an exponent as 7 x 10⁴.
Learn more about Power here:
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Your piggy bank starts off with 3 dollars, and each day you put 2 dollars in it. After a certain number of days, there are 19 dollars in your piggy bank Which of the following equations represents the day, d, when there are 19 dollars in your piggy bank?
Answer:
Step-by-step explanation:
hmmm... i would say that the days are uneven. that's all i got.
a school built a new gym the gym is rectangular and has an area of 6,000 square feet. if the gym is 100 feet long how wide is it
Using the formula of the area of the rectangle, the required width of the rectangular gym is 60 ft.
What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can also be defined as an equiangular quadrilateral since equiangular indicates that all of its angles are equal; or a parallelogram containing a right angle.
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°).
A rectangle has equal and parallel opposite sides.
A rectangle has two dimensions—length and width—because it is a two-dimensional form.
So, we know that the area is:
6000 ft²
And the length is 100 ft.
Then the width will be:
Area = l * w
6000 = 100 * x
x = 6000/100
x = 60 ft
Therefore, using the formula of the area of the rectangle, the required width of the rectangular gym is 60 ft.
Know more about a rectangle here:
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What is this answer help pleaseeeeeeeeee
Answer: D =60
Step-by-step explanation:
Indicate the data relationship for each table. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 15, 20, 25, 30. Table A On a coordinate plane, a line goes through points (0, 1) and (1, 2). Graph A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries negative 1, negative 2, negative 3, negative 4. Table B y = negative x Equation
Answer:
Table A-Directly proportional
Graph-Nonproportional
Table B-Directly proportional
Equation-Directly proportional
Step-by-step explanation:
where is the midpoint between -3 and 15 on a number line?
Answer:
6.5
Step-by-step explanation:
Cans of pop cost 35p each how much will 8 cans cost
Answer:
$280
Step-by-step explanation:
35(8) = 280
What is the distance between the points (2, -7) and (-3, -2) on the coordinate plane?
f(x) =
12 −
2
x
f(1) =
Answer:
37+)( 8a) + t
Step-by-step explanation:
The midpoint of AB is M(-1, 1). If the coordinates of A are (-6, -3), what are the coordinates of B?
Answer:(4,5)
Step-by-step explanation:
What are the coordinates of the point 3/4 of the way from A(–3, –5) to B(13, 7)?
( , )
Answer:
(9, 4)
Step-by-step explanation:
(13, 7) is 16 to the Right and 12 up from (-3, -5)
multiply these values by .75 to get 12 right and 9 up
Add these to point A (–3, –5) to get (9, 4) and you're done
Is the sqrt{5} greater or the fraction 1 and 1/2?
Answer:
1 and then 1/2 and the 5
Step-by-step explanation:
it goes frist to lest
write the slope- intercept from of an equation for a line with y-intercept -5 and slope 2
Answer: y = 2x -5
Step-by-step explanation:
PLZ HURRY
8. Find y when x = 3, if y = -4 when x
= -9.
Answer:
x = 3, y = 8.
Step-by-step explanation:
So if x = 3, and y = ?,
Its the same as if y = -4 when x = -9.
Find the difference between 3 and -9.
3 - (-9) = 12 because when you subtract a negative number, the second negative sign flips the direction your going on the number line. We just found the absolute value. Now the oppisite of 12 is -12. Final answer is -12.
Let's do the same thing to the -4, but subtract -12.
-4 - (-12) = 8.
So if x = 3, y = 8
HELP ME THIS IS WROTH 20 PIONTS .!
Answer:
the correct answer is 0.032
Step-by-step explanation:
Answer:
she Wrong
Step-by-step explanation:
Its 0.032
