Explanation
\(x^2-2x-3\)Step 1
we have a expression in the form.
\(x^2-2x-3\Rightarrow wx^2+yx+z\)we need two a and b numbers such as
\(\begin{gathered} a+b=-2 \\ a\cdot b=-3 \\ \text{then a}\Rightarrow1,\text{ b}\Rightarrow-3 \\ 1-3=-2 \\ 1\cdot-3=-3 \end{gathered}\)now, we can factorize
\(\begin{gathered} x^2-2x-3=\mleft(x+a\mright)\mleft(x+b\mright) \\ x^2-2x-3=\mleft(x+1\mright)\mleft(x-3\mright) \end{gathered}\)I hope this helps you
Select yes or no for each statement regarding the end behavior of the graph below.(Photo below)
Answer:
No. Yes. No.
Step-by-step explanation:
1. No. Y is approaching 0, not negative infinity.
2. Yes.
3. No. Y is not approaching negative infinity when x approaches 0.
What the graph is saying:
When x approaches negative infinity, y approaches 0/ When x approaches infinity, y approaches infinity (it keeps going up with x).
for this lesson, you will come up with your own challenging algorithm for other students to trace. it must contain at least 4 if statements, 1 else statement and use at least one and or or boolean condition. note: elif statements will not count - your statements must be if statements. each if statement should use a unique variable name. for this challenge, try reading 3 or 4 of your classmates' code as well. trace their code and predict what it will output, then check the code by running it to see if you got it right, and submit your work for a grade.
By using Python, you will come up with your own challenging algorithm for other students to trace.
What are If else Statements ?If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.
The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.
These conditional statements are available in Python:
If you want a block of code to run only if a certain condition is true, use the if statement.
If the same expression is false, use instead that to provide a set of instructions that should be run.
If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.
To choose which of the several program code should be performed, use the switch.
How to write the code?
num = 100
if num < 20:
print('Less than 20')
if num < 30:
print('Less than 30')
if num < 40:
print('Less than 40')
if num < 50:
print('Less than 50')
if num > 100 or num == 100:
print('More than or equal to 100')
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What is the equation of the line that passes through the point (-5, -3) and has a
slope of -1
Answer:
y= -x-8
Step-by-step explanation:
The ones in the equation are in subscript, couldn't get the equation creator to work properly....DO NOT multiply by one, they are merely subscript meant to help you identify which pair to use.
y-y1=m(x-x1)
-5=x1
-3=y1
-1=m
y- -3=-1(x- -5) then you arrive at y+3=-1(x+5)
y+3=-x-5 now you isolate the y on the left y=-x-8
HELP WILL MARK BRAINLIEST!! Carmen plans to by a $60.00 video game from the Game Shop. There is a 5% sales tax on every game purchase. What is the amount of the sales tax?
Answer:
$3.00
Step-by-step explanation:
pretty obvious why
Answer:
$3.00
Step-by-step explanation:
To get the amount of the sales tax, multiply the tax rate by the price.
$60.00 x 5% = $3.00
Identify 1 and _ 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.
What is a triangle?A triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.
The figure is attached in the picture, please refer to the attached picture.
Given that:
An Angle in the figure is a right angle.Its measure = 90°So,
\(\angle2 = 90^\circ\) (vertically opposite angles are equal)
\(\angle1 + \angle2 = 180^\circ\) (Linear Pair)
\(\angle1 = 180 - 90\)
\(\angle1 = 90^\circ\)
\(\angle1 = \angle2 = 90^\circ\)
So, ∠1 and ∠2 are right angles because measure of both angles is 90°.
Adjacent angles because both a common arm and a common vertex.
Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.
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show work order the fractions from LEAST to GREATEST. 1/2, 2/3, 1/4, 5/6 show work
Answer:5/6, 2/3, 1/4, 1/2
Step-by-step explanation:
Use half-angle and double-angle identities to solve the trigonometric expressions and match them with their values.
sin 67.5°
cos 105°
tan 165°
√2-√3
2
1+√2
√2+√2
√3-2
tan 67.5°
Therefore , the solution of the given problem of trigonometry comes out to be - (√2-+√6 ) / 4.
What exactly does trigonometry mean?The connection between trigonometric and square spline The field is believed to have been founded in the late 1700s, but it really began in the third-century BC when the mathematical and astronomy sciences were combined. Numerous geometric equations can be solved or the results of calculations using them can be computed using precise mathematical methods. Trigonometry is the study of the six basic trigonometric operations.
Here,
Given :
cos(x + y)
cos(x) cos(y) - sin(x) sin(y) by the cosine addition identity.
We receive:
If we look just at unit circle, we should notice that cos(x) = √2/2 instead than sin(x) = √2/2.
Additionally, we are told that cos(y)= -1/2,
but if we look at the unit circle, we should find that sin(y)=√3/2.
Use both of them to the following: cos(x + y).
cos(x) sin - cos(y) (x) sin(y) via the cosine addition identity.
=> √2/2 - 1/2 - √2/2*√3/2
=> -√2/4 - √6/4
=> -√2- √6 / 4
=> - (√2-+√6 ) / 4
Therefore , the solution of the given problem of trigonometry comes out to be - (√2-+√6 ) / 4.
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(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.
a jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. a jeweler used 130 grams
The number of bracelets and the number of necklaces will be 10 and 5, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A gem dealer had a proper measure of gold to make wristbands and pieces of jewelry. The amount of gold in every armband is 5 grams and the amount of gold in every accessory is 16 grams. A goldsmith utilized 130 grams.
Let 'x' be the number of Bracelets and 'y' be the number of Necklaces. Then the equation is given as,
5x + 16y = 130
The term 16y in the equation should be a multiple of 5 to get the whole value.
If the value of y is 5. Then the number of bracelets is given as,
5x + 16(5) = 130
5x + 80 = 130
5x = 50
x = 10
The number of bracelets and the number of necklaces will be 10 and 5, respectively.
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The table shows the ratio that Gary used to make bottles of glitter glue.
Bottles Glue Glitter
1 5.2 3.3
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 20.8 oz glue and 13.2 oz of glitter to make 4 bottles.
Gary would need 23.8 oz glue and 6.3 oz of glitter to make 4 bottles.
Gary would need 20.8 oz glue and 1.3 oz of glitter to make 4 bottles.
Gary would need 9.2 oz glue and 7.3 oz of glitter to make 4 bottles.
Answer:
1678 bottles :)
Step-by-step explanation:
Answer:Gary would need 20.8 oz glue and 13.2 oz of glitter to make 4 bottles.
Step-by-step explanation:
The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?
Answer:
upwards or to the right
Step-by-step explanation:
If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 335 people entered the park, and the admission fees collected totaled 940 dollars. How many children and how many adults were admitted?
Let
number of children admitted = x
number of adult admitted = y
Total number admitted = 335
\(\begin{gathered} x+y=335 \\ 1.5x+4y=940 \\ x=335-y \\ 1.5(335-y)+4y=940 \\ 502.5-1.5y+4y=940 \\ 502.5+2.5y=940 \\ 2.5y=940-502.5 \\ 2.5y=437.5 \\ y=\frac{437.5}{2.5} \\ y=175 \\ x+y=335 \\ x+175=335 \\ x=335-175 \\ x=160 \end{gathered}\)number of children = 160
number of adult = 175
Determine the number of Mg2+ and PO3−4 ions required to form a neutral ionic compound.
To determine the number of Mg2+ and PO3−4 ions required to form a neutral ionic compound, we need to consider the charges of the ions and their ratio in the compound.
In an ionic compound, the total positive charge must equal the total negative charge to achieve electrical neutrality. The Mg2+ ion has a charge of +2, indicating a loss of two electrons, while the PO3−4 ion has a charge of -3, indicating a gain of three electrons.
To form a neutral compound, the positive and negative charges must balance out. Since the charge of the Mg2+ ion is +2 and the charge of the PO3−4 ion is -3, the ratio between them must be such that the charges cancel out. This can be achieved by having three Mg2+ ions for every two PO3−4 ions.
Therefore, the number of Mg2+ ions required is three times the number of PO3−4 ions in order to achieve electrical neutrality in the compound.
It is important to note that the specific ratio and number of ions required may vary depending on the specific compound and its formula.
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Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
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These box plots show the prices for two different brands of shoes.
Answer: I’m pretty sure is letter A
write the equation of the hyperbola centered at . the length of the vertical transverse axis is 3 and the length of the conjugate axis is 8.
according to question the final equation is:
(y - k)^2/(9/4) - (x - h)^2/16 = 1
The equation of a hyperbola centered at the origin with a vertical transverse axis of length 2a and a conjugate axis of length 2b is:
y^2/a^2 - x^2/b^2 = 1
Since the center is not at the origin, we need to use a slightly modified equation. If the center of the hyperbola is at (h, k), then the equation becomes:
(y - k)^2/a^2 - (x - h)^2/b^2 = 1
In this case, the center is not given, so we cannot write the full equation. However, we can write the equation of the hyperbola if we assume that the center is at the origin (0,0) and then shift it later.
Given that the length of the vertical transverse axis is 3, we know that 2a = 3, so a = 3/2. Similarly, since the length of the conjugate axis is 8, we know that 2b = 8, so b = 4.
Therefore, assuming that the center of the hyperbola is at the origin, the equation of the hyperbola is:
y^2/(9/4) - x^2/16 = 1
To shift the center of the hyperbola to a different point (h,k), we replace x with (x - h) and y with (y - k),
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Find The First Partial Derivatives Of The Function. F(X, Y) = X^2y-3y^2 F(X, Y) = X/(X + Y)^2 W = Xy^2 E^-Xz
Partial derivative with respect to\(X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ\)
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:
\(F(x, y) = x^2y - 3y^2\)
The first partial derivative with respect to x,
Fx (x, y) = 2xy
The first partial derivative with respect to y,\(Fy (x, y) = x^2 - 6yW = xy^2 e^-xz\)
The first partial derivative with respect to x,
\(Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz\)
The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz
The first partial derivative with respect to z, \(Wz (x, y, z) = -xy^2e^-xz\)
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If there are a total of 20 data values , with what frequency does the data value 3 occur
Answer:
Question: The Relative Frequencies For A Set Of Data Are Shown In The Table Below. Value Relative Frequency 1 0.15 2 0.10 3 0.45 4 0.30 If There Are A Total Of 20 Data Values, With What Frequency Does The Data Value 3 Occur?
Step-by-step explanation:
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
What is the average rate of change of the function g(t) over the interval from t = a to t = b? How is it related to a secant line?
The slope of this line is the average rate of change of the function g(t) over the interval [a, b].
The average rate of change of a function g(t) over an interval [a, b] is defined as:
average rate of change = [g(b) - g(a)] / [b - a]
This represents the slope of the secant line between the points (a, g(a)) and (b, g(b)) on the graph of the function g(t).
Geometrically, the secant line is a straight line that passes through two points on a curve. In this case, it is the line that passes through (a, g(a)) and (b, g(b)). The slope of this line is the average rate of change of the function g(t) over the interval [a, b].
Note that the average rate of change gives us information about the overall trend of the function over the interval [a, b], but it does not tell us about the behavior of the function at any particular point within the interval.
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the cost of 8 pencils in Rupees 16 find the cost of 5 pencils
Answer:
Step-by-step explanation:
cost of 8 pencils=16
cost of 1 pencil=16/8
=Rs 2
cost of 5 pencil=5*2
=Rs 10
In how many ways can a team of 8 people be selected from 5 women and 10 men?
Answer:
6435 ways
Step-by-step explanation:
Since the order does not matter, it is a combination, also because they do not indicate how many men and how many women should be in the group of 8, which means that it would be the ways of putting together a group of 8 with 15 people (10 men + 5 women)
That is to say:
nCr = n! / (r! * (n-r)!)
n = 15, r = 8, replacing:
15C8 = 15! / (8! * (15-8)!)
15C8 = 6435
which means that there are 6435 ways to arm the group
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0. ] f(x) = ln x, a = 9
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
\(f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }\)
.
.
.
Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
\(f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }\)
.
.
.
Following the pattern, we can see that for \(f^{n}(x)\),
\(f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} } \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}\)
This applies for n ≥ 1, Expressing f(x) in summation, we have
\(\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}\)
Combining ln2 with the rest of series, we have
\(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
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If you had ten apple and some person took 2 how much will you have
Ps: a ded body
answer
= 10 and a dead body
ANSWER:10 apples and a ded body
_____ have beginning points but no end points and are represented by a line with an arrow on one end and not the other, like this: --------->
points
lines
rays
the term that matches the description of having a beginning point but no end points, and is represented by a line with an arrow on one end and not the other, is "rays."
Rays have a beginning point but no end point. They are represented by a line segment with an arrow on one end and not the other, indicating the direction in which the ray extends infinitely. The arrow signifies that the ray continues indefinitely in one direction.
On the other hand, points represent specific locations in space and do not have any length or direction associated with them. Lines, on the other hand, extend infinitely in both directions and have no specific beginning or end points.
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A car is purchased under the following conditions. There is a 12% discount because of the Happy Easter Sale and another 5% discount because the purchaser is a valued customer. After these discounts the GST increases the price by 10%.
If the customer paid $14 000, what was the original purchase price of the car before any of the discounts and taxes?
Please explain. p.s I know that the answer is $15 224, but I still need an explanation
thanks. :)
The original purchase price of the car before any of the discounts and taxes is,
⇒ $15,024
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
There is a 12% discount because of the Happy Easter Sale and another 5% discount because the purchaser is a valued customer. After these discounts the GST increases the price by 10%.
Here, the customer paid $14 000.
Now, Let the original price = x
Hence, We can formulate;
⇒ x - (12% of x) - 5% of x + 10% of x = 14,000
⇒ x - 12x/100 - 5x/100 + 10x/100 = 14,000
⇒ (100x - 12x - 5x + 10x) / 100 = 14,000
⇒ 93x/100 = 14,000
⇒ 93x = 1400000
⇒ x = $15,024
Thus, The original purchase price of the car before any of the discounts and taxes is,
⇒ $15,024
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idek what im doing lol
It's not SAS. The correct answer is HL (hypotenuse-leg).
can someone tell me the answer
Answer:
um i really dont know but if i dont know the the answer to sum i put c but i recommend not doing that
Step-by-step explanation:
Answer:
The second option, 2 is a prime number, but not odd
Step-by-step explanation:
A prime number is a result of two other whole numbers multiplied by themselves. There is no whole number that you can multipy by itself to get 2 because 1 × 1 = 1 and 2 × 2 = 4. Therefore, it is a prime number. But, that does not mean it is an odd number because odd numbers are 1, 3, 5, 7, etc. and even numbers are 2, 4, 6, 8, etc.
help please!!!!!!!!!!!!!!
Answer:
x = 42,33°
Step-by-step explanation:
3x + 1° + 52° = 180° [angles on a straight line]
3x + 53° = 180°
3x = 180° - 53°
3x = 127°
divide both sides by 3
x = 42,33°
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour