Answer:
4y - 7
Step-by-step explanation:
Like terms are terms that have the same variable part. Variable part means the part of a term that is one or more variables and the exponents of the variables.
For example, in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, the terms 2x^2 and 5x^2 have x^2 as their variable part. They are like terms. Likewise, 2y and -3y have y as their variable part. They are like terms. 2x^2 and 5x^2 can be combined into 7x^2. 2y and -3y can be combined into -y. The terms 4xy and 5 are not like terms and cannot be combined. By combining like terms in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, you end up with 7x^2 + 4xy - y + 5.
Now we deal with your problem.
-4y - 4 + (-3)
The term -4y has a y as a variable. There is no other term with a y in it, so the term -4y cannot be combined.
The terms -4 and -3 have no variables. These two terms are like terms and can be combined.
-4y - 4 + (-3) =
-4y - 7
Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?
Why is this? Choice B is true because of the Pythagorean theorem. If vectors u and v are perpendicular, then we can form a rectangle. The diagonals of the rectangle are each of length ||u+v|| units long. From here you can form a right triangle with vector u+v as the hypotenuse. The expression shown in choice B is of the form c = sqrt(a^2+b^2), though with substitutions applied.
Choice D is true because of the triangle inequality theorem. This theorem says that the sum of any two sides of a triangle will always be larger than the third side. Otherwise, a triangle is not possible. I recommend cutting out strips of paper of various lengths and trying it out for yourself.
Choices A and C can be eliminated as they contradict B and D. Choice A contradicts choice D. Choice C contradicts choice B.
Simplify the expression where possible. (x 3y 2) 4
Answer:
4x 12y 8
Step-by-step explanation:
hopefully this helps you
The value of the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
Used the rule of the exponent to solve the equation that states,
[tex](x^{m} )^n = x^{m \times n}[/tex]
[tex](xy)^{m} = x^m \times y^m[/tex]
Given that,
The expression is,
(x³ y²)⁴
Now apply the rule of the exponent to solve the equation as
[tex](x^3 y^2)^4[/tex]
It can be written as,
[tex](x^3 )^4 \times (y^2)^4[/tex]
Multiply the powers,
[tex](x^{3\times4} y^{2\times 4} )[/tex]
[tex]x^{12} y^{8}[/tex]
Therefore, the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
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Factor 4x^3-400x thanks a lot
Answer:
4x(x-10)(x+10)
Step-by-step explanation:
4x^3-400x
Factor out 4x
4x(x^2-100)
We know that x^2-100 is the difference of squares
a^2 - b^2 = (a-b)(a+b)
4x(x^2-100)= 4x(x^2 -10^2)
4x(x-10)(x+10)
Rafael is wrapping presents for his sister's birthday party, but he is unsure how many feet of wrapping paper is left on the roll. It takes 1.3 feet of wrapping paper to wrap each gift.
If Rafael has a total of P feet of wrapping paper on the roll, which of the following expressions represents the number of presents he can wrap?
ANSWERS
A.
1.3 ÷ P
B.
1.3 × P
C.
P - 1.3
D.
P ÷ 1.3
For the inequality, -4x + 5 >-5
Decide whether the solution is represented
by x < 2.5 or x > 2.5
I NEED THE ANSWER ASAP PLEASE
Answer:
x<2.5
Step-by-step explanation:
-4x +5>-5
-4x>-5-5
-4x>-10
x<10/4(on multiplying (-)ve sign both the sides inequality changes)
x < 2.5
The inequality -4x + 5 > -5 simplifies to x < 2.5 after isolating the variable and dividing by -4, which also reverses the inequality sign.
Explanation:To solve the inequality -4x + 5 > -5, we first isolate the variable on one side:
Add or subtract constants from both sides of the inequality as needed.Divide or multiply both sides by the coefficient of the variable, taking care to reverse the inequality sign if you multiply or divide by a negative number.Let's solve the inequality step-by-step:
Add 5 to both sides to get -4x > -10.Divide both sides by -4, remembering to reverse the inequality sign, so x < 2.5.Therefore, the solution to the inequality is x < 2.5.
which are examples of varibles
Answer: usually letters are one of the variables in math (x,y) such as 7+x=10, x+4=10
Step-by-step explanation:
an element, feature, or factor that is liable to vary or change
A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters how far will the gopher have run to get from one of its holes to the other. round if necessary to the nearest tenth. use the formula a square plus b square equals c square
Answer: 9.2 meters
Step-by-step explanation:
Hi, since the situation forms a 2 right triangles (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse (x) of each triangle (in this case the distance between the opposite corners) and a and b are the other sides.
Replacing with the values given:
c^2 = 6^2 + 7^2
c^2 = 36+49
c^2 = 85
c = √85
c = 9.2 meters
Feel free to ask for more if needed or if you did not understand something.
Final answer:
To find the distance the gopher needs to run between the holes in a rectangle yard, use the Pythagorean Theorem with the given sides (7 meters by 6 meters) to calculate the diagonal distance of approximately 9.2 meters.
Explanation:
A gopher dug holes in opposite corners of a rectangle yard. If the yard is 7 meters by 6 meters, how far will the gopher have run to get from one of its holes to the other, rounded if necessary to the nearest tenth? Use the formula a square plus b square equals c square.
Identify the two sides of the rectangle as a and b, where a = 7 meters and b = 6 meters.
Apply the Pythagorean Theorem: a² + b² = c². Substitute the values: 7² + 6² = c².
Calculate the distance: 7² + 6² = c² ➔ 49 + 36 = c² ➔ 85 = c² ➔ c ≈ √85 ≈ 9.2 meters. So, the gopher would need to run approximately 9.2 meters to move between the holes.
A rectangular pyramid. The rectangular base has a length of 6 centimeters and width of 4 centimeters. 2 triangular sides have a base of 6 centimeters and height of 6 centimeters. 2 triangular sides have a base of 4 centimeters and height of 4.6 centimeters.
The area of the base is 24 cm2.
There are four lateral faces.
All the lateral faces are congruent.
The total surface area of the figure is 66.4 cm2.
At least one of the lateral faces has an area equal to 24 cm2.
Answer:
its B
Step-by-step explanation:
Answer:
Bb
Step-by-step explanation:
16 divided by x= 2 I need to solve for x
Answer:
x = 8
Step-by-step explanation:
16/x = 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply x to both sides:
(16/x)x = (2)x
2x = 16
Next, isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (16)/2
x = 16/2
x = 8
x = 8 is your answer.
~
The graph shows the locations of point C and point D. Point E is graphed at (n. 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
D(n,-2)
units
units
The value of n is 0 and the coordinate of D is at (0, -2)
Find the coordinate of the plane attached.
Given the following coordinates:
C = (0, -2)
D = (n, -2)
E = (n, 2)
Get the distance from point D to point E using the distance formula:
[tex]DE=\sqrt{(2+2)^2+(n-n)} \\DE=\sqrt{(4)^2} \\DE=4 units[/tex]
Get the distance from point D to point C using the distance formula:
[tex]DC=\sqrt{(2+2)^2+(n-n)} \\DC=\sqrt{(4)^2+n^2} \\DC=\sqrt{16+n^2}[/tex]
If the distance from point D to point E is equal to the distance from point D to point C, hence;
[tex]\sqrt{16+n^2}=4\\16+n^2=4^2\\n^2=16-16\\n=0[/tex]
Get the coordinate of point D(n, -2)
D = (0, -2)
Hence the value of n is 0 and the coordinate of D is at (0, -2)
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The distance from point D to point E is 4 units. The value of n is indeterminable from the information given in the question.
Explanation:In this question, we know the distance from point D to point E is equal to the distance from D to point C. Given this information, we can infer that coordinates of point E are (n, 2), while coordinates of point D are(n, -2). The distance formula on a cartesian plane is given by Distance = √[(x2-x1)² + (y2-y1)²].
Here, since D and E both have the same x-value (n), the distance between them depends only on the difference in their y-values. Therefore, the distance between D and E (and hence also D and C) is 4 units.
The value of n is irrelevant to the distance calculation, as it doesn't impact the distance between D and E or D and C. As such, it isn't possible to determine n's value given the information from the question.
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Solve for f(2).
f(x) = -3x + 3
f(2) = [?]
Answer & Explanation Included:
f(x)= -3x + 3
f(2)= -3(2) + 3
f(2)= -6 + 3
f(2)= -3
3y+4y=-49
solve for y
Answer:
y=-7
Step-by-step explanation:
Move all terms that don't contain to the right side and solve.
∵∴∵∴∵∴∵∴∵
⊕ΘΞΠΤ⊕
∵∴∵∴∵∴∵∴∵
Answer: The solution for y would be y = -7
Step-by-step explanation:
-Solve:
[tex]3y+4y=-49[/tex]
-First, Combine like terms:
[tex]3y+4y=-49[/tex]
[tex]7y=-49[/tex]
-Then, divide both sides by 7:
[tex]7y= -49[/tex]
[tex]\frac{7y}{7} = \frac{-49}{7}[/tex]
[tex]y=-7[/tex]
So, therefore the result would be y= -7.
When Amber does her math homework, she finishes 10 problems every 7 minutes. How long will it take for her to complete 35 problems?(redo, I need good explanation and the steps to the answer)
Answer:
24 1/2 minutes
Step-by-step explanation:
10 problems in 7 minutes
5 problems in 3 1/2 minutes
multiply 5 × 7 (5×7 = 35) to get 35
multiply (or add) 3 1/2 minutes times 7 (or add it together 7 times
Answer:
24.5 minutes.
Step-by-step explanation:
10 / 7 = 35 / x
7 x 35 = 245
245 = 10x
245/10 = 24.5
Feel free to let me know if you need more help. :)
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
Choose True or False for each statement about the equation.
It is equivalent to 15x – 3)(2x + 1) = 0. A
It is equivalent to (5x – 3)(2x + 1) = 0.
A
True
True
B
False
False
A solution of the equation is x =
A
True
True
B
False
A zero of the equation is 2.
A
True ®
True
B
False
False
please hurry
Answer:
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
Either x=-1/2 or 5/3
Step-by-step explanation:
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
When you take pull-out (2x+1), you will be left with (5x-3)
5x (2x + 1) - 3(2x + 1) = 0.
(2x+1)(5x-3)=0
Either 2x + 1 = 0
2x = -1
Divide both-side of the equation by 2
2x/2 = -1/2
x= -1/2
OR
5x-3 =0
5x = 3
Divide both-side of the equation by 5
5x/5 = 3/5
x = 5/3
Either x=-1/2 or 5/3
Look at this set of 8 numbers:
8399831844518383
How would the mode change if the number 83 replaced the number 99 in the set?
Answer:
it wouldnt change it will still be 8 numbers
The table shows the number of insects, by type, Bobby saw at a picnic.
Insect
Number
Fly
Ant
Bee
Ladybug
Select the true statements about the information in the table.
Answer:
well number wouldnt be right? kind of weird question
Step-by-step explanation:
Answer: The question is a fly is The table shows the number of insects, by type, Bobby saw at a picnic.
Insect Number
Fly 8
Ant 22
Bee 4
Ladybug 6
Select the true statements about the information in the table.
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The ratio of flies to all insects is 1:5,
(Choice B)
B
For every 1 bee there are 10 insects.
(Choice C)
C
None of the above
Step-by-step explanation:
What is the surface area of this right rectangular prism? Enter your answer as a
number only; no units.
You will find all of the surface area of all of the sides and add them together to find the surface area of the retangular prisim. So, what I would do is the front and back are both 54, so 108. The sides are 27, so 54. The top and bottom are 18, so 36. Add them together, and you will get 198. I hope this helps.
Will give Brainly to the best answer!!!!! Please help!!!!
Answer:
x=-1
Step-by-step explanation:
here is an example for my class, these really helped
A quadratic equation is any second-degree polynomial equation — that’s when the highest power of x, or whatever other variable is used, is 2. The solution or solutions of a quadratic equation,
Solve the equation,
with the quadratic formula:
Bring all terms to one side of the equation, leaviign
Plug the coefficients into the formula.
In this example, a equals 2, b is –5, and c is –12, so
You can also use the quadratic formula for factoring trinomials.
Here’s what you do.
Use the quadratic formula to get solutions for x. (You can also use your calculator to get the solutions.) Make sure the solutions are written as fractions rather than as decimals and that they’re reduced to lowest terms.
Take the two solutions and put them in factors. If a solution is positive, use subtraction. If a solution is negative, use addition.
If either solution is a fraction, take the denominator and bring it in front of the x.
And, voilà, the trinomial is factored:
(x – 4)(2x + 3)
Answer:
X= -1
Step-by-step explanation:
how u can see I apply the formula, and I have two answers X1= -1 and X2= -1
U only need to see the information that they give u, it was x^2+2x+1=0
and we know that
a= 1
b=2
c=1
then you replace in the formula and do the exercise:)
If x = 6, what is the value of 4x2 - 7?
O A.
151
B. 137
C. 571
D.
172
Answer: B
Step-by-step explanation: 6^2 = 36
36*4= 144
144-7= 137
Answer:
B. 137
Step-by-step explanation:
Assuming by 4x2 you meant 4[tex]x^{2}[/tex], you plug in the 6 into x.
After, you would square 6, giving you 36.
Then you multiply 36 by 4, getting 144
All that's left to do is subtract 7 from 144 and ending with 137.
What is the correct factorization of 5!?
Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
what is b? 2x^2-3x-5=0 using the quadratic formula
Answer:
5/2,-1
Step-by-step explanation:
substitute value
simplify
Answer:
Using the quadratic formula, it would be : 5/2, -1
The Tanners just got married and are trying to decide whether to file jointly or separately. They make $75,000 and $28,000. If their income tax rate is 25%, how much would their taxes be if they filled jointly? *
A. $7,000
B. 18,750
C. 25,750
D. 128,750
I NEED HELP PLEASE
Answer:
La respuesta es la C
Step-by-step explanation:
Primero tienes que hacer el 25% de ambas cantidades y luego sumarlo
The required, tax would be $25,750 if the Tanners file jointly.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Assuming that the tax rate of 25% applies to their combined taxable income, here's how to calculate their taxes if they filed jointly:
Calculate their combined taxable income:
$75,000 + $28,000 = $103,000
Calculate their tax liability based on their combined taxable income: $103,000 x 0.25 = $25,750
Therefore, the answer is C. $25,750, if the Tanners file jointly.
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Match the expression with the logarithm that has the same value. *3 log 4
A. log 3/4
B. log 81 c. log 64 D. log 12
Answer:
c. log 64.
Step-by-step explanation:
By the laws of logs:
3 log 4 = log 4^3
= log 64.
The correct value of the given logarithmic function is log 64. Option c is correct.
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. [tex]f(x) = b^x[/tex] is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
The expression 3 log 4 can be rewritten as:
[tex]3 log 4 \\= > log (4^3) \\= > log \ 64[/tex]
So, the logarithm that has the same value as 3 log 4 is option C, log 64.
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The polygons below are similar. Find the value of x. (2 points)
F
6
D
E 12Η
Ο
4.5
Ο
Ο 7.5
Ο
Ο 12
Ο
Ο 16
Answer:
7 is x but it ain't there
Please select the best answer from the choices provided
Answer:The answer is F I hope that helps.
Step-by-step explanation: The steps are F(x)....
A pipe needs to be cut into pieces that are each 3/4 feet long. If the pipe is 24 feet long, how many pieces can be made from the pipe?
Answer:
32
Step-by-step explanation:
[tex]Number \: of \: pieces = \frac{length \: of \: pipe}{length \: of \: one \: piece} \\ \\ \hspace {80 pt} = \frac{24}{ \frac{3}{4} } \\ \\ \hspace {80 pt}= 24 \times \frac{4}{3} \\ \\ \hspace {80 pt}= 8 \times 4 \\ \\ \hspace {80 pt}= 32[/tex]
Answer:
32 pieces
Step-by-step explanation:
If you do 24 divided by 3/4, then you would get 32 pieces, which is the answer. Hope this helps!
What is the area of this irregular figure? A shape can be broken into a rectangle and parallelogram. The rectangle has a base of 12 millimeters and a height of 6 millimeters. The parallelogram has a base of 12 millimeters and a height of 9 millimeters. 90 Millimeters squared 180 Millimeters squared 540 Millimeters squared 1,080 Millimeters squared
Answer:
last on D
Step-by-step explanation:
Answer:
Step-by-step explanation
i think it 180 but if its not right i am so sorry
good luck
Combine the like terms to create an equivalent expression:
4z-(-3z)
Answer:
4z+3z=7z
Step-by-step explanation:
4z- (-3z) is 7z because two negative signs make a positive sign.
(sec x + csc x)(cos x − sin x) = cot x − tan x
Verify the answer
Answer:
Explanation:
The reciprocal identities
csc
θ
=
1
sin
θ
sec
θ
=
1
cos
θ
cot
θ
=
1
tan
θ
The quotient identities:
tan
θ
=
sin
θ
cos
θ
cot
θ
=
cos
θ
sin
θ
Applying all these identities, on both sides, we get:
1
sin
x
+
1
cos
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
cos
x
+
sin
x
cos
x
sin
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
1
sin
x
+
cos
x
×
cos
x
+
sin
x
cos
x
sin
x
=
cos
x
sin
x
+
sin
x
cos
x
1
cos
x
sin
x
=
cos
2
x
+
sin
2
x
sin
x
cos
x
Applying the pythagorean identity
sin
2
x
+
cos
2
x
=
1
on the right side, we get:
1
cos
x
sin
x
=
1
sin
x
cos
x
Hopefully this helps!
Store
Advertised Bread Prices
Darryl also needs to find a better deal on bread. Rank
the stores from 1 to 4 based on their unit prices. Use
the drop-down menus to label the lowest price per loaf
with "1" and the highest price per loaf with “4."
5 loaves for $6.50
Store A
B
Store B:
10 loaves for $7.50
Store C:
15 loaves for $18.75
Store D:
20 loaves for $22.00
Answer:
Store A: 4
Store B: 1
Store C: 3
Store D: 2
Step-by-step explanation:
I got it right
Answer:
4,1,3,2
Step-by-step explanation:
u hate edgunlty ik u do