Depending on whether a and b are real numbers, they can factor as (a + b) (a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.
what is perfect square ?When you square an integer, you get perfect squares. The number 81, for example, is a perfect square since it can be derived by squaring 9: 99=81. Because 12 can be squared to make 144, 144 is a perfect square. 13 may be squared to make 169, which is a perfect square. Mathematics-related language. Informally: When an integer (a "whole") number is multiplied by itself, whether the result is positive, negative, or zero, the result is referred to as a square number, a perfect square, or simply "a square." All square numbers are therefore 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
Perfect square trinomials, also referred to as trinomial squares, are the squares of binomial expressions.
Depending on whether a and b are real numbers, they can factor as (a + b)(a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.
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i have help with this q
The slope of the graph is equivalent to 6 units.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the graph showing the amount of water in the tank after the several minutes of it being turned off.
We can write the slope of the graph as -
m = (16 - 10)/(2 - 1)
m = 6
Therefore, the slope of the graph is equivalent to 6 units.
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3x+2y=28,5x-3y=15 URGENTLY
Answer:
(6, 5 )
Step-by-step explanation:
3x + 2y = 28 → (1)
5x - 3y = 15 → (2)
multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y
9x + 6y = 84 → (3)
10x - 6y = 30 → (4)
add (3) and (4) term by term to eliminate y
19x + 0 = 114
19x = 114 ( divide both sides by 19 )
x = 6
substitute x = 6 into either of the 2 equations and solve for y
substituting into (1)
3(6) + 2y = 28
18 + 2y = 28 ( subtract 18 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (6, 5 )
Would it be possible for 3x2 to equal 1?
Answer:
no
Step-by-step explanation:
3x2=6 ;-;
Is it possible for [tex]3\times2[/tex] to equal 1?
[tex]3\times2=6[/tex]
[tex]6\neq 1[/tex]
Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.
What the answer? help me out! hurry!!
A line has a slope of - 1/7 and passes through the point (4,5). What is its equation in point-slope form??
Answer:
Step-by-step explanation:
y - 5 = -1/7(x - 4)
y - 5 = -1/7x + 4/7
y - 35/7 = -1/7x + 4/7
y = -1/7x + 39/7
please help me!! I can’t figure it out
Answer:
Point 1 (-7, 1)
Point 2 (=9`, -5)
Point 3 (-2, 4)
Step-by-step explanation:
Step 1. Move each point by 1 to the left. (Shown in dark blue)
Step 2: Move the points in dark blue down by 7. (shown lin light blue)
Step 3: find each point by lining up x and y.
You can be identified by x being left to right resembling shaking your head saying "no"
for Y shake your head up and down for Yes.
A large green jar of candy contains red, green, and yellow candy. The probability of pulling a red candy out of the jar is 1/4. The probability of pulling a green candy out of the jar is 5/8. What is the probobility of randomly pulling a yellow candy out of the jar
Answer:
1/8
Step-by-step explanation:
total probability = 1
total probability = probability of red + probability of green + probability of yellow
1 = 1/4 + 5/8 + yellow
we want to find a common denominator
in this case, we know 4 * 2 = 8, so we can multiply 1/4 by 2/2 = 1 to get
1/4 * 2/2 = 2/8
1 = 2/8 + 5/8 + yellow
1 = 7/8 + yellow
subtract 7/8 from both sides to isolate yellow
1 = 8/8
1 - 7/8 = 8/8 - 7/8 = 1/8 = yellow
which system of equations has only one solution
4x+2y=8 -4x-2y=3
6 and 18/54 simplified
Multiply using the distributive property
D) Simplify the expression:
8(1 + 7d) =
Answer:
8 + 56d
Step-by-step explanation:
We will open the parentheses, multiplying the stuff outside by the stuff inside. So, we get:
8*1 + 8*7d
Then, we can simplify by giving us:
8 + 56d
Hope this helped!
WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1
A recursive formula for the sequence is: f(n+1) = f(n)-99.4, n ≥ 1
Consider the given sequence.
99.4, 0, -99.4, -198.8, . . .
We can observe that each next term of the sequence is decreased by -99.4
i.e., f(0) = 99.4
f(1) = f(0) - 99.4
f(1) = 99.4 - 99.4
f(1) = 0
f(2) = f(1) - 99.4
f(2) = 0 - 99.4
f(2) = -99.4
From these calculations we can say that the n-th term would be,
f(n) = f(n - 1) - 99.4
Therefore, recursive formula: f(n+1) = f(n) - 99.4
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Is halting problem is unsolvable?
Therefore, the answer to the provided problem of tractable problem turns out to be the most common problem that has been shown to be insoluble.
What exactly is a tractable problem?a method that takes a polynomial amount of time to finish a manageable task. It makes advantage of the polynomial upper bound. Intractable refers to a problem that cannot be addressed in a polynomial amount of time. The bound has an exponential minimum.
Here,
It is the most common issue that has been shown to be intractable since there is no program that can fix the stopping trouble for sufficiently general computer programs.
We need to be clear about the kind of computer program we're talking about.
Therefore, the answer to the provided problem of tractability turns out to be the most common problem that has been shown to be insoluble.
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Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}
Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?
The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is 25 letters
How to find the number of letters ?The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 21 letters
= 1. 50 + 0. 08 x
The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 15 letters
= 1. 60 + 0. 07 x
Equating these equations together will show the number of letters :
1. 50 + 0. 08 x = 1. 60 + 0. 07 x
0. 08 x - 0. 07 x = 1. 60 - 1. 50
0. 01 x = 1. 10
x = 0. 10 / 0. 01
x = 10 letters
Number of non zero number of letters would be 25 letters :
= 15 + 10
= 25 letters
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1. Indicate whether the value of each expression is positive or negative.
-3(-6)
(-3)(6)
-(-3)(6)
2(3)(-6)
-2(-3)(-6)
2(-3)(-6)
So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)
So going down the list:
(-3)(-6) = positive (two negatives!)
(-3)(6) = negative (one negative, one positive!)
-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)
(2)(3)(-6) = negative
(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)
(2)(-3)(-6) = positive
I hope this helps!
pls help me on this question
1) false
2) false
3) true
4) true
5) true
Answer:
1 false,2 false,3 true,4 true,5 true
Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m
Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m. Select the double number line that correctly labels is option 'A'.
What do you meant by hiking?From brief half-day programs to extensive itineraries lasting more than 20 days, the activity's duration varies. The majority of the time, it is an activity that accepts groups of various sizes.
A long stroll, especially one undertaken for the sake of recreation or exercise; see also hike; an increase, particularly in quantity or amount. While it is entirely up to each hiker to assign whatever classification they see fit to their experience, I have found that the vast majority of hikers fall into one of the three most common categories: peak-bagging, long-distance hiking, or day hiking.
Because it is a constant slope and Cory hikes 3 km his elevation is 120 m.
slpoe = 120m/3km = 40m/1km
So, Cory's elevation after he hikes 1 km, his elevation is 40 m.
Cory's elevation after he hikes 2 km, his elevation is (2*40 m) 80 m.
Cory's elevation after he hikes 4 km, his elevation is (4*40 m) 160 m.
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The complete question is:
Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km his elevation is 120m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km. Choose 1 answer:
tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298
Step-by-step explanation:
Let A be the sum from 100 to 300
so the sum of 97 to 298 =
A - (299+300) + 97 +98
= A - 403
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.
The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
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Select the correct answer. A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 liked jazz. If the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre
The company is likely to sell 3,120 copies of rock music per week.
If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.
To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.
Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.
So, the company is likely to sell 3,120 copies of rock music per week.
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Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
Number of tickets
0
1 2 3
24 18 12
4
6 0
What is the y-intercept of the function shown in the table, and what does it
represent?
OA. The y-intercept is (4,0). Jamie goes on 4 rides.
OB. The y-intercept is (4.0). Jamie uses 4 tickets per ride.
OC. The y-intercept is (0, 24). Jamie has 24 tickets before going on any
rides.
OD. The y-intercept is (0, 24). Jamie uses 24 tickets per ride.
Answer:
C. The y-intercept is (0,24). Jamie has 24 tickets before going on any rides.
Step-by-step explanation:
Rides Tickets Left
0 24
1 18
2 12
3 6
4 0
Let x be the number of rides taken and y be the number of tickets remaining. We can write the equation for this linear function as:
y = -6x + 24
The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0). He has 24 tickets. His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).
The y-intercept is written as (0,24): Jamie has 24 tickets before any ride is taken. This is option C.
Which word or phrase describes the value of the function over the interval [ -6, 0]
Answer:
C is the correct answer
From the graph we can see that at the given interval [-6,0] the graph decreases from left to right.
Initially the y-values is a little over 3 and then it decreases to about 0.5 at the end of the interval.
Thus, the graph of the function over the interval [-6,0] is decreasing.
What is the value of x?
3/4(x−8)= −1/2
Answers:
x = -26/3
x = 10
x = 22/3
the value of x would be 22/3 after simplification.
What is simplification?The acts or process of simplifying something such that it is simpler to accomplish or understand, or the item that is the consequence of such simplifying: The group offers suggestions on how to make trade procedures simpler. In mathematics, we generally use the PEMDAS method to simplify the values.
Given, the equation in the form of x is 3/4(x−8)= −1/2
For the value of x
3/4(x−8)= −1/2
multiply by 4 on both sides
3(x - 8) = -2
divide by 3 into both the sides
x - 8 = -2/3
add 8 on both sides
x = -2/3 + 8
x = 22/3
therefore, the value of x for the given equation 3/4(x−8)= −1/2 is 22/3.
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How do you factorise α²-b²
Answer:
this is perfect square a-bDivide 70 by 9 and write the answer as a: mixed number and as a decimal number with a bar over the repetend.
Please help if you can!Thanks!
Answer:
Step-by-step explanation:
7 7/9 Is the first one
And 7.7 with the second 7 repeating
3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3
4. Xin is getting an estimate from a printer for fliers for the drama club. Xin
orders color prints and negotiates a 10% discount on the print job for
the drama club. If f represents the number of fliers Xin orders, does
0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?
Setup
Black & white print
Color print
$17. 50
$0. 09 each
$0. 20 each
yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Given that,
10% discount on the print job
thus, 10% = 0.10.
Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
so, we get: 0.10 × (17.50 + 0.20f)
Yes, 0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.
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How many types of angles are there in class 7?
There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.
If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.
If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.
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Simplify the following polynomial, then evaluate for x = -2
2x2 - 4x + 3x2 + x - 7
Answer:
[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]
A certain psychological test measures empathy and
emotional intelligence. The score, S, of a randomly
selected senior student at a large university has a mean
of 123 and a standard deviation of 29. The score, F, of a
randomly selected first-year student at a large university
has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one
first-year student. We can consider Sand F to be
independent random variables.
As per the given standard deviation, the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair is 0.72
Here we have given that the score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29.
And the score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Then the probability is calculated as,
=> 123/104
=> 1.182
Where as the based on the standard deviation, the value is calculated as
=> 29/34
=> 0.852
Then the total probability of the given situation is calculated as,
=> 0.852/1.182
=> 0.72
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