Answer:
8 5/12 is closer to 8
31 1/6 is closer to 31
Step-by-step explanation:
The graph of F(x) shown below resembles the graph of G(x)= x4, but it has
been vertically stretched. Which of the following could be the equation of F(X)
?
Answer:
x = 0.Equation:
[tex]g*(x)-(x^4)=0[/tex]Step-by-step explanation:
Step 1:
Pull out like factors:[tex]gx - x^4 = x * (g - x^3)[/tex]Trying to factor as a Difference of Cubes:
Factoring: [tex]g - x^3[/tex]Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into (a-b) • (a^2 +ab +b^2)Proof : (a-b)•(a^2+ab+b^2) = a^3+a^2b+ab^2-ba^2-b^2a-b^3 = a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 = a^3+0+0-b^3 = a^3-b^3Check : g^1 is not a cube !!Ruling : Binomial cannot be factored as the difference of two perfect cubesEquation at end of step 1:
[tex]x * (g - x^3) = 0[/tex]Step 2:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately In other words, we are going to solve as many equations as there are terms in the product Any solution of term = 0 solves product = 0 as well.Solving a Single Variable Equation:
Solve [tex]g - x^3 = 0[/tex]In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.We shall not handle this type of equations at this time.Solution:
x=0.Brian gets £x wages each week. After he pays his tax of £t, he then pays his rent of £155. He shares what's left between himself and his wife. How much do they each get?
Answer:
[tex]\frac{1}{2}(x-t-155)[/tex]
Step-by-step explanation:
Total wages: [tex]x[/tex]
Pays tax [tex]t[/tex]: [tex]x-t[/tex]
Pays rent of 155: [tex]x-t-155[/tex]
Shares what's left between 2: [tex]\frac{x-t-155}{2}[/tex]
So each gets: [tex]\frac{1}{2}(x-t-155)[/tex]
I need help ASAP;
Algebra 1: I think it's about exponential growth.
Answer:
Step-by-step explanation:
The given equation assumes a 12 cubic inch initial volume. The question wants to know when, in minutes, the volume, y, reaches 36 in^3:
y = 12*(2)^(t/60), where t is time in minutes
Therefore:
36 = 12*(2)^(t/60)
3 = (2)^(t/60)
log(3) =(60/t) log(2)
t = 60log(3)/log(2)
t = 95.1 minutes
When asked to write the prime factorization of 99, a student wrote 11 dotmath 9. Complete the explanation of the error and enter the correct answer.
is not a prime number.
The correct prime factorization of 99 is
Answer:
Factors of 99: 1, 3, 9, 11, 33, and 99.
Prime Factorization of 99: 3 × 3 × 11.
Step-by-step explanation:
Select all measurements that show equivalent volume to the rectangular prism
shown below. Asnwer the bottom one to!!
A. Length = 6 cm, Width = 8 cm, Height = 5 cm
B. Length = 7 cm, Width = 8 cm, Height = 4 cm
C. Length = 8 cm, Width = 10 cm, Height = 3 cm
D. Length = 9 cm, Width = 5 cm, Height = 6 cm
E. Length = 10 cm, Width = 4 cm, Height = 6 cm
Answer:
400 is the answer to the botom and a b c and d
Step-by-step explanation:
HELPP URGENT!!! NOWW!!!!!!!! 30 POINTS!!!!!!!!!!
Answer:
y= 6x
Step-by-step explanation:
Slope is 6
McKayla can type 342 words in 4 minutes. Find the unit rate in words per minute.
The answer isn't a whole number but the answer is 85.5.
helpppppppppppppppppppppppppppppp
Answer:
35
Step-by-step explanation:
The angle is reflected.
- A six-foot diameter circular table
top has an area of about how many
square feet? (Use 3.14 for a.)
.
Answer:
28.26
Step-by-step explanation:
area of a circle is (pi)(r)^2
radius is half of the diameter
6/2=3
3 feet is the radius
a= 3.14 (3)^2
=3.14 x 9
= 28.26 feet
Hi!
-------------------------------------------------------------------------------------------------------------
Area of a circle = [tex]\pi r^2[/tex]
Radius (r) = [tex]\frac{diameter}{2}[/tex]
-------------------------------------------------------------------------------------------------------------
In this problem:
[tex]r=[/tex] [tex]\frac{6}{2}[/tex]
[tex]r=[/tex] [tex]3[/tex]
[tex]3.14 (3)^2[/tex]
[tex]3.14(9)[/tex]
[tex]28.26[/tex]
please help me with this,
Answer:
7x=14
Step-by-step explanation:
Count the number of x
and count the number of 1
7 and 14
(brainliest please)
Answer:
C. 7x=14
Step-by-step explanation:
Count number of x's and 1's, add together, you get answer
Simplify 2(0.25x + 0.32) - 0.76
A: 0.5x +0.12
B: 0.5x - 0.12
C: 0.38x
D: 0.25x + 1.08
Answer:
B: 0.5x - 0.12
Step-by-step explanation:
I need help on this one, I got 3 penalty's and if I get anymore Imma break down and start crying and get mad, I know that sounds childish but it's true :|
Step-by-step explanation:
-8 < -2 < 4 < 18, so 2nd answer must be the right one!
Find the volume of the cylinder in terms of .
7 in. Is the radius
10 in. Is the height
a. 140, in
b. 490, in
C. 707 in
d. 245, in
Answer:
the answer is not listed it is 1539.38
Step-by-step explanation:
did you have a typo in the question
-3x(7x-4)+6x-(13-24x²)
Answer:
[tex]3x^2+18x-13.[/tex]Step-by-step explanation:
Step 1:
Equation should be:
[tex]((0-(3x*(7x-4)))+6)-(13-(2^3*3x^2))[/tex]Step 2:
Equation should be:
[tex]((0-3x*(7x-4))+6x)-(13-24x^2)[/tex]Step 3:
Factoring [tex]3x^2+18x-13[/tex]The first term is [tex]3x^2[/tex]. It's coefficient is 3.The middle term is +18x, it's coefficient is 18.The last term, "the constant", is -13.Step 1:
Multiply the coefficient of the first term by the constant 3 * -13 = -39Step 2:
Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 . -39 + 1 = -38 -13 + 3 = -10 -3 + 13 = 10 -1 + 39 = 38 Observation : No two such factors can be found !!Conclusion : Trinomial can not be factoredSolution:
[tex]3x^2 + 18x - 13[/tex].Answer:
[tex]\boxed{\tt \tt 3x^2+18x-13}[/tex]
Step-by-step explanation:
[tex]\tt -3x(7x-4)+6x-(13-24x^2)[/tex]
Apply the Distributive Property
[tex]\tt -3x\left(7x-4\right)+6x-13+24x^2[/tex]
Multiply, -3 by (7x-4):
[tex]\tt -21x^2+12x+6x-13+24x^2[/tex]
Combine like terms:
[tex]\tt (-21x^2+24x^2)+(12x+6x)-13[/tex]
[tex]\tt 3x^2+18x-13[/tex]
___________________________
Identify the type of function that models the situation below:
A can of coffee is supposed to contain one pound of coffee. Which function can be used to describe the difference in the actual weight of the coffee as compared to 1 pound?
a.
greatest integer function
c.
absolute value function
b.
step function
Please select the best answer from the choices provided
A
B
C
Answer:
C
Step-by-step explanation:
c is the correct option
An artist gets strips of metal from a salvage yard to make decorative wall art. He finds strips that are 2.5 feet and 3.5 feet long. Determine on possible length for the third strip if the artist wants to make a triangle. a Any length between 5ft and 6ft b Any length between 1ft and 6ft c Any length between 0ft and 7ft d Any length between 1ft and 10ft
Answer:
b Any length between 1ft and 6ft
Step-by-step explanation:
I am only 80% shure sorry
true or false pls no guessing
Answer:
True
Step-by-step explanation:
5 X 5 X 5 = 125 because 5 X 5 would be 25. And 25 X 5 would be 125.
Answer:
5 x 5 x 5 is 125 so true
Step-by-step explanation:
What is the value of x in the equation?
5 5/6x+2 2/3=12
A)
2/3
B)
1 2/3
C)
1 5/6
D
1 3/5
three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
Answer:
-3, 1, -1 or -1, 1, 3
Step-by-step explanation:
We can create the equation of x + x+d + x+2d = 3 or use the sum formula to end up with x = 1-d.
We can then calculate d by using 11 and creating an equation like this.
x^2 + (x+d)^2 + (x+2d)^2 = 11 -> (1-d)^2 + (1)^2 + (1+d)^2 =11 which ends up with d equaling -2 or 2
If we plug d into the sum formula we get
(2x + 2 * 2)/2 *3 =3
and
(2x + 2 * -2)/2 *3 =3
This leaves us with starting terms -1 and 3. We can then finish the arithmetic sequence for each case by just using d.
What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?
If you’re answer is correct, I WILL GIVE BRAINLIEST!!! Thank you!:)
Answer:
Step-by-step explanation:
For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.
Step 1 Find the slope of the equation.
Put it into the slope-intercept form. y = mx + b.
For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you -y = -x + 7
Then, divide both sides by -1 to get a positive y. -y/-1 = (-x + 7)/-1
This leaves y = x - 7 The slope(m) for this equation is m = 1
The other equation must also have a slope of 1 or m=1 for the lines to be parallel.
Use the point given to you (-7, -6) and substitute for (x, y)
The slope-intercept form y = mx + b can once again be used.
x = -7, y =-6, and slope or m = 1
Therefore, y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept
-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1
Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.
Finally, substitute the m and b in the slope-intercept form
y = (1)x + 1 or y = x +1
Answer to these 2 questions pls fast!
Step-by-step explanation:
17.
an addition is commutative. that means the sequence of the arguments of the operation does not matter (as long as the arguments are truly the same).
7x + 1 = 1 + 7x
1 = 1
0 = 0
is all true for any and every value of x.
so, yes, that's how I know that the expressions are equivalent.
18.
no, the case of 17 does not apply, because she changed the arguments of the addition (not just the sequence).
to check :
7x + 1 = 1x + 7
6x = 6
x = 1
this is true for exactly one value of x. but definitely not fit every value of x.
and so, these 2 existing are not equivalent. they are 2 different functions with a crossing point.
A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table? HURRY ILL GIVE BRAINLIEST IF CORRECT
Answer:
98.9
Step-by-step explanation:
115 - 20% = 92
92 + 7.5% = 98.9
Answer:
the original price is 115 after we subtract 20% we are left with 92 so now
the price of the coffee table is 92 but with 7.5% as tax, the final price is $98.90 since 7.5% of 92 is 6.90
can you please help me
Answer:m<c=120
Step-by-step explanation:
You set the two expressions equal to each other solve for x and then plug in x to one expression to get the angle.
After that add the two angles together and subtract them from 360 divide by two and you’ll get the other two angles.
This usually only applies to parallelograms.
I hope this helps it’s been awhile since I’ve done this so if it sounds like gibberish I worked out the problem as a better explanation.
I need help on this one
Answer:need help on what?
Step-by-step explanation:i cant see it
what are the answers i cant see them
Step-by-step explanation:
need help ASAP please and thank you
Answer:
it should be a or b
Step-by-step explanation:
determine if each statement must be true could possibly be true or definitely not true explain or show your reasoning
a. isosceles triangles are similar b. equilateral triangles are similar
Answer:
Equilateral triangles are always similar, whereas isosceles triangles are not necessarily comparable.
The angles in one triangle must have the same values as the angles in the other triangle for two triangles to be identical. The lengths of the sides must be proportional.
Both may be isosceles, however one may have 30°, 30°120° angles and the other may have 20°, 20° 140° angles.
As a result, isosceles triangles are not necessarily comparable.
Because equilateral triangles always have three angles of 60 degrees apiece, any
All equilateral triangles are always similar and isosceles triangles are not always similar.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
A) No, all isosceles triangles are not similar. An isosceles triangle is a triangle with two sides of equal length. For all isosceles triangles to be similar, it would have to be the case that the ratios comparing the lengths of corresponding sides of all isosceles triangles are the same.
B) Yes. All equiangular triangles are similar. In geometry, we have a nice theorem that allows us to determine if two triangles are similar using the measures of their corresponding angles.
All equilateral triangles are always similar. Similar triangles are always congruent.
Therefore, all equilateral triangles are always similar and isosceles triangles are not always similar.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
find an equation in point-slope form form the line having the slope m = -4 and containing the point (3,5)
Answer:
y = 17 - 4x or y = 17 + (-4x)
Step-by-step explanation:
Plug the slope (m) into the equation y=mx+b so it becomes y = -4x + b
Then see how much your line changed from the point to the y-axis. In this case, it changed by negative 12. So you have to go up 12 points to reach the y-intercept. (5+12=17)
Then, plug that number into the equation.
y = 17 - 4x
2 and 3 are what kinds of angles?
Answer:
angle 2 and 3 are vertical angles
Step-by-step explanation:
because they are opposite angles made from two intersecting lines.
can someone answer this
Answer:
a is 24 b is 24 and c is m. ..
Which expression is equivalent to
n^3⋅n^−8?
Answer:
1/n^5
Step-by-step explanation:
Apply exponent rule : a^b * a^c = a^b+c
= n^3-8
Subtract the numbers.
= n^-5
Apply exponent rule : a^-b = 1/a^b
n^-5 = 1/n^5
Please mark brainliest if possible, hope this helps.
