Answers
Answer:
Step-by-step explanation:
x² - y² = (x + y)(x-y)
c² - (5b - 3a)² = (c + [5b -3a]) ( c - [5b - 3s] )
= (c + 5b - 3a) (c - 5b + 3s)
Related Questions
Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?
Answers
Answer:
$25
Step-by-step explanation:
95+30= 125
125/5= 25
Hope this helped!
7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step. 5(x – 4) + 3x – 9x + 7 Step 1: Rewrite the subtraction operations as addition of negative numbers. (1 point) Step 2: Use the distributive property. (1 point) Step 3: Use the commutative property of addition to reorder terms so that like terms are together. (1 point) Step 4: Use the associative property of addition to group like terms. (1 point) Step 5: Simplify. (1 point)
Answers
Answer:
-x + -13
Step-by-step explanation:
Rewrite: 5(x – 4) + 3x – 9x + 7
Step 1: 5(x + –4) + 3x + –9x + 7
Step 2: 5x + -20 + 3x + –9x + 7
Step 3: 5x + 3x + –9x + -20 + 7
Step 4: -1x + -13
Step 5: -x + -13
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answers
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
Need answer ASAP please
Answers
Answer:
0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.
A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles
Answers
Answer:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Step-by-step explanation:
A recipe requires 1.5 kilograms of eggs. How much is this in pounds? 0.15 0.7 1.5 2.2 3.3
Answers
Answer:
3.3 Pound
Step-by-step explanation:
in this problem we have to convert kilogram value to its equivalent pound value.
we know
1 KG = 2.205 Pound
since we have to find value of 1.5 kg
we multiply both LHS and RHS by 1.5
1 * 1.5 KG = 2.205 * 1.5 Pound
=> 1.5 KG = 3.307 Pound.
Since , in option value is rounded to 1 decimal place,
hence correct choice is 3.3 Pound
**true or false**
all functions are relations but not all relations are functions
explain
Answers
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Step-by-Step explanation: simple mathematics
Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Answers
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex]
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it [tex]x\in {R-3}[/tex]
Also, for option C if [tex]2=2\dfrac{(x+5)}{(x-3)}[/tex]
[tex]\Rightarrow\ x-3=x+5\\\\\Rightarrow\ -3=5[/tex].which is not true.
Wher as in option D, [tex]2=\dfrac{x+5}{x-3}\Rightarrow\ 2x-6=x+5\Rightarrow\ x=11[/tex]
Hence, Domain: [tex]x\neq3[/tex] ; range = [tex]y\neq2[/tex] is for option D.
Answer:
OPTION D IS NOT CORRECT.
i took the test & selected D and it was wrong.
THE CORRECT ANSWER IS C.
Step-by-step explanation:
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (13.5, 14, 20 , 28) meters and the total length of the carpet is (25.5, 26 ,32 ,40) meters. which number in the () is correct?
Answers
Answer:
28 meters.
40 meters.
Step-by-step explanation:
Let x be the length of the larger piece, then we have:
1/4 x + 5 = 12
1/4 x = 12 - 5
1/4 x = 7
Multiply both sides by 4:
x = 28 meters.
The total length of the carpet = 12 + 28 = 40 meters.
The length of bigger piece is 28 and the total length of carpet is 40.
How to find the length of object from problem statement -By the problem,
A machine cuts a strip of carpet into two pieces.
Given, length of smaller piece is 12 meters .
Also given, length of smaller piece = 5 + 1/4 (length of larger piece)
⇒ Length of larger piece = 4*(length of smaller piece - 5) meters
= 4*(12 - 5) meters
∴ Length of larger piece is = 28 meters
Thus the total length of carpet is = length of larger piece + length of smaller piece .
∴ Total length of carpet is = (28 + 12) meters = 40 meters
The length of bigger piece is (28)
The total length of carpet is (40)
To learn more about statement problem, refer -
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The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters. A circle is shaded blue. A small unshaded square is at the center of the circle.
Answers
Answer:
31/40
Step-by-step explanation:
The question is incomplete. Here is the complete question with appropriate diagram.
The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.
What is the probability that a point chosen at random is in the blue region?
Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.
Using the formula Area of a circle = πr²
314 = 3.14r²
r² = 314/3.14
r² = 100
r = 10 cm
Diameter of the circle = 2*10 = 20 cm
Area of a square = Length * length
Area of the outer square = 20*20 = 400cm²
Area of the inner square with side length 2cm = 2*2 =4cm²
Area of the shaded region = Area of the square - Area of the inner square
= 314-4 = 310cm²
The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square
= 310/400
= 31/40
Answer: its 2/157
Step-by-step explanation: edg 2020
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
Answers
Answer:
The correct option is D
D) the height of the rock 3.2 seconds after it is propelled
Question:
The question is incomplete as it doesn't say what to find. I know that whole question which is given below
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.What does h(3.2) represent?
A) the height of the rock 3.2 seconds before it reaches the ground
B) the time it takes the rock to reach the ground, or 3.2 seconds
C) the time it takes the rock to reach a height of 3.2 meters
D) the height of the rock 3.2 seconds after it is propelled
Solution:
h(t) represents the the height of the rock t seconds after it has propelled, where t is the time. If we take t=3.2, it means that we can find the height of the rock 3.2 seconds after it has been propelled by a slingshot, which is represented by the function h(t). Since the explanation given matches the option D, option D is the correct option.
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answers
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.
2m^2? + 10 = 210
Answer plssss
Answers
Answer:10
Step-by-step explanation:subtract 10, divide by 2, then do sqrt of 100
Choose the biconditional statement that could be based on the following: P → Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. Q → P: If its opposite sides are parallel, then a quadrilateral is a parallelogram. Question 1 options: A) P ↔ Q: A quadrilateral is a parallelogram if and only if its opposite sides are parallel. B) P ↔ Q: If a quadrilateral is a parallelogram, then its opposite sides are parallel. C) ∼P → ∼Q: If a quadrilateral isn't a parallelogram, then its opposite sides aren't parallel. D) P → P: If a quadrilateral is a parallelogram, then it's a parallelogram.
Answers
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA Q⇔P
Step-by-step explanation:
A biconditional statement puts a conditional statement in If and Only if form. it does not negate or switch the hypothesis or conclusion.
The symbol is q arrows going both ways (⇔) p
Hope this helps!!
Answer:
A quadrilateral is a parallelogram if and only if its opposite sides are parallel AKA QtoP
Step-by-step explanation:
From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?
a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph
Answers
Answer: a
Step-by-step explanation:
if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.
The y- values as the negative x- values get closer to zero is they decrease the correct option is B.
How to find the function which used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The function= y = 10/x^2
Now,
As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.
For example, if we substitute x = -2 into y = 10/x^2, we get:
y = 10/(-2)^2 = 10/4 = 2.5
If we substitute x = -10 into y = 10/x^2, we get:
y = 10/(-10)^2 = 10/100 = 0.1
Therefore, by the graphed function the answer will be they decrease.
Learn more about finding the graphed function here:
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Which of the following cannot be a part of a rational expression?
Answers
A rational expression is anything of the form P/Q where both P and Q are polynomials. The value of Q cannot be zero. Recall that polynomials cannot have square roots of variables in them. So we cannot have something like [tex]\sqrt{x}[/tex].
You can think of [tex]\sqrt{x}[/tex] as [tex]x^{1/2}[/tex]. The non-whole number exponent is not allowed with polynomials. Only positive whole numbers are allowed as exponents when it comes to polynomials.
Side note: choice C can be written as 4x^0 which is a polynomial (specifically it is a monomial of degree 0, similar to how choice A is as well).
3x² – 4√x cannot be a part of a rational expression. Then the correct option is B.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
If in the expression, there is a square root on any variable, then the expression become irrational or non-rational expression.
3x² – 4√x cannot be a part of a rational expression.
Then the correct option is B.
More about the rational number link is given below.
https://brainly.com/question/9466779
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Which is the correct way to show that (2, 3) is a solution to the following system of
inequalities?
y - X > - 4
2y - 5
1. 3 - 2 > -4 TRUE
2(3) – 5 < 2 TRUE
2. 3 - 2 > - 4 TRUE
2(2) – 5 < 3 TRUE
3. 2 - 3 > - 4 TRUE
2(3) - 5 < 2 TRUE
Answers
Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
Divide. Simplify(or reduce) 32 dived by seven eights
Answers
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Some points were initially placed on a line. After that, a point was inserted between each pair of neighboring points. After that, such an insertion was repeated two more times. 113 points are on the line as a result. How many points were placed on the line initially?
Answers
Answer: The initial number of points on the line was 15.
Step-by-step explanation:
8n-7=113
8n=120
n=15
Answer:
15 points
Step-by-step explanation:
Initial number of points= x
It can be added 1 less points between the existing ones, so:
Step 1
added x-1, and number of points become x+x-1= 2x- 1Step 2
added 2x-1-1= 2x-2 and number of points become 2x-1+2x-2= 4x-3Step 3
added 4x-3-1= 4x-4 and finally we have 4x-3 + 4x-4= 8x -7 pointsNow,
8x-7= 1138x= 120x=120/8x=15Number of initial points is 15
PLEASE HELP WILL MARK BRAINLIEST The frequency f (in waves per second) and the wavelength w (in meters) of a sound traveling in the air are related by the equation fw = 343 where 343 m/s is the speed of sound in air. Calculate the wavelength of a musical note with a frequency of 240 waves per second. The wavelength is meters.
Answers
You gave us the speed and the frequency, and you need the wavelength.
You were also nice enough to remind us that (fqy)x(lng) = speed.
So . . . F x W = 343 m/s
Divide each side by F :
W = (343 m/s) / F
W = (343 m/s) / (240 / s)
W = (343/240) m
W = 1.429 meters
Please help ASAP!! Will give brainliest
Answers
Answer:
y^12/5
Step-by-step explanation:
(9x^(5)y^(16))/(45x^(5)y^(4))
y^12/5
How many different 2-digit numbers are there with the following property: each of them has at least one digit 7?
Answers
Answer:
18 numbers
Step-by-step explanation:
These are all the two digit numbers with at least one 7.
17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97
A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81
Answers
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
Answer:
.74
Step-by-step explanation:
On edge
A parent needs up to twelve students for a game. He needs no fewer than five male students.
Let x represent the number of female students and y represent the number of male students.
Select all inequalities that model this situation.
Answers
Answer:
you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answers
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answers
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Help, I don't understand
Answers
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answers
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
Multiply: (x – 4)(x + 5)
Answers
Answer:
x² + x - 20
Step-by-step explanation:
Step 1: Expand using FOIL
x² + 5x - 4x - 20
Step 2: Combine like terms
x² + x - 20
[tex](x-4)(x+5)=x^2+x-20[/tex]
Hope this helps.
The average rate of change for an exponential function grows by equal [blank1] per unit interval. FILL IN THE BLANK...
Answers
Answer:
a blanket huh
Step-by-step explanation: