The factors of the expression x^2 - 49 = 0 are as follows
(x + 7) (x - 7) = 0
The number 49 is a perfect square, and therefore the roots are either a negative 7 or a positive 7.
So the factores would be x + 7 or x - 7. That is,
When x + 7 = 0
Then x = -7
When x - 7 = 0
Then x = 7
The factors of the expression therefore are
(x + 7) and (x - 7)
Which graph shows the image of ∠B after a rotation of 180∘ about the origin
IS IT A B OR C
PICK THE LAST 3 BECAUSE ONE OF THEM IS THE ANSWER
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)
Explain about the angle rotation of 180°:The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.
The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.
It is demonstrated to rotate 180 degrees around the origin.
From the question:
The coordinates of B are - B(1, -8).
Thus, the formula is (x,y)→(−x,−y) for a 180° rotation of the origin.
B' - (-1 ,-(- 8))
B' - (-1, 8)
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)
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Answer:b
Step-by-step explanation:
Pa help po pleass po
Answer:
Refer to the attachment
x-8=5x+3 all possible answers
Answer:
x = \(\frac{-11}{4}\)
Step-by-step explanation:
x - 8 + 5x + 3 Subtract 1x from both sides
-8 = 4x + 3 Subtract 3 from both sides
-11 = 4x Divide both sides by 4
\(\frac{-11}{4}\) = x
Helping in the name of Jesus.
The following functions all have domain {1,2,3,4,5} and codomain 1,2,3. For each, determine whether it is jective, bijective, 3. (only) injective, (only) sur neither injective nor surjective. (a) f - {1 2 3 4 5}
{1 2 1 2 1} (b) f - {1 2 3 4 5}
{1 2 3 1 2}
(c) f(x) = { x if x < 3 x -3 if x > 3
The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.
(a) f - {1 2 3 4 5} -> {1 2 1 2 1}
This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.
(b) f - {1 2 3 4 5} -> {1 2 3 1 2}
This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.
(c) f(x) = { x if x < 3, x - 3 if x > 3}
This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.
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Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
What is a functiοn?In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.
(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.
Hence,
Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
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Conduct the following test at the alpha = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling.
Test whether p1 not equals p2. Sample data are x1 = 28, n1 = 254, x2 = 38, and n2 = 301.
Answer:
a) H0: p1 - p2 = 0
H1: p1 - p2 ≠ 0
b) z=-0.58
c) p-value = 0.562
Step-by-step explanation:
We need to determine whether p1 is not equals p2, so the null and alternative hypothesis are:
H0: p1 - p2 = 0
H1: p1 - p2 ≠ 0
Where p1 and p2 are the proportions of the population. Additionally, the proportions of the sample p1' and p2' are calculated as:
\(p1'=\frac{x1}{n1}=\frac{28}{254}=0.1102\\p2'=\frac{x2}{n2}=\frac{38}{301}=0.1262\)
Then, the test statistic is calculated using the following equation:
\(z=\frac{(p1'-p2')-(p1-p2)}{\sqrt{p'(1-p')(\frac{1}{n1}+\frac{1}{n2})} }\)
Where p' is calculated as:
\(p'=\frac{x1+x2}{n1+n2}=\frac{28+38}{254+301}=0.1189\)
So, replacing the values, we get that the test statistic is:
\(z=\frac{(0.1102-0.1262)-(0)}{\sqrt{0.1189(1-0.1189)(\frac{1}{254}+\frac{1}{301})}}=-0.58\)
Finally, using the standard normal table, the p-value is equal to:
\(p-value=2*P(z<-0.58)=2*0.281=0.562\)
The p-value is greater that the value of alpha 0.1, so we can't reject the null hypothesis and there is evidence to said that p1 and p2 are equals.
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
The LCM of 6 and 9 is
Numerical Answers Expected!
Answer for Blank 1:
Answer:
18
Step-by-step explain:
6, 12, 18, 24, 30
9, 18, 24
Sour
okshe
A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point
having coordinates (2.5, 0.9), where the units are meters, what is the distance of the fly from the corner of the room?
hello how are you? I am fine
When flipping a coin once and rolling a six-sided die,
what is the probability of the coin landing on heads and rolling a multiple of three?
Answer:
Explanation: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.
I need these answers quickly. If I don't get them by midnight ill cry.
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation to the sun given that a 7.6 meter flagpole casts an 18.2 meter shadow on the ground.
Quick Answer please!!!!
Answer:
22.7
Step-by-step explanation:
Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7
Joshua goes to a café.
Revive Café Price List
Soup & roll £3.50
Sandwich £3.90
Jacket potato £4.50
Cake £2.95
Hot drink £2.50
Cold drink £1.75
Josh wants to buy a cake and a hot drink. He has £5 to spend can he buy what he wants?
Joshua wants to buy a cake and a hot drink. He has £5 to spend
Can he buy what he wants?
A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of elevation to the top of the pole as 51.4 degrees. How far away from the base of the telephone pole is Curtis standing if Curtis's eye height is 5.2 feet?
The distance from the base of the telephone pole to Curtis is about 15 feet.
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the distance from the base of the telephone pole to Curtis, hence:
tan(51.4) = (24 - 5.2) / d
d = 15 feet
The distance from the base of the telephone pole to Curtis is about 15 feet.
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A train travels a distance of 862 miles. Then it travels another 312 miles. The train then travels another 403 miles. How many more miles does the train travel on the first part of the trip than on the second and third trips combined? *
Answer:
It travels 530 more miles on the first trip than the second trip and travels 469 more miles on the first trip than the third trip.
Step-by-step explanation:
Take 872-342=530 so then that's your answer to the first part of the question, now do the same thing just plug in the different numbers: 872-403=469
EASY I AM JUST DUMB!! WILL GIVE BRANLIEST!!! HELP ASAP!!!!
14. What type of segment is TR in the diagram below?
THE TOP OF THE TRIANGLE IS T AND THE BOTTOM R
A) median
B) perpendicular bisector
C) centroid line
D) altitude
It's a bit strange why all of the numbers/letters are blocked out. Anyways, with point T as the top most point of the triangle, and R at the bottom middle, this means TR looks like it is a median. This is assuming point R bisects that bottom segment. The median extends from a vertex to the midpoint of the opposite side.
Bikini hot is putting all of its swimsuits on sale during the month of January a suit that regularly sells for $42 cost $33.60 in January what is the discount rate for the suit
Answer:
Step-by-step explanation: You start by subtracting the original price from the new price.
Which is $42 from $33.60
$42-$33.60=$8.40
So $8.40 is your discount rate.
find the values of x and y
Answer:
x = 90
y = 43
Step-by-step explanation:
\( In\: \triangle ABC\\
AB = AC.... (given)
\therefore m\angle ABC = m\angle ACB\\\) (Property of isosceles triangle)
\( \because m\angle ACB = 47\degree \\
\therefore m\angle ABC = 47\degree \\
2y\degree + 47\degree+47\degree = 180\degree \\
2y\degree + 94\degree= 180\degree \\
2y\degree = 180\degree - 94\degree \\
2y\degree = 86\degree \\\\
y = \frac{86\degree}{2} \\\\
y\degree = 43\degree \\\\
\huge \purple {\boxed {y = 43}} \\\\\)
x° + y° + 47°=180°
x° + 43° + 47°=180°
x ° + 90° = 180°
x ° = 180° - 90°
x° = 90°
x = 90
Beth can swim 2 laps in 7 minutes.What id beths rate in minutes per lap
A.1/2 of a minute per lap.
B.7/1 minutes per lap
C.7/2 minutes per lap
D. 2/7 of a minute per lap
Answer:
C) 7/2 minutes per lap
Step-by-step explanation:
7 laps/ 2minutes. To find how many minutes it takes Beth to swim one lap, which is her in minutes per lap, you have to divide 7/2 to get 3.5 min/1 lap, or 7/2 min/1 lap.
the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answer:
middle set of data
Step-by-step explanation:
Put this equation into slope- intercept form. -2x + 3y = 9
Answer:
y = 2/3x + 3
Step-by-step explanation:
In order to put it in slope intercept form (y = mx + b), y needs to be isolated.
Add 2x to both sides:
-2x + 3y = 9
3y = 2x + 9
Then, divide both sides of the equation by 3.
3y = 2x + 9
y = 2/3x + 3 is the equation in slope intercept form
Answer:
Slope-intercept form:
→ y = (2/3)x + 3
Step-by-step explanation:
Given equation,
→ -2x + 3y = 9
Now we have to,
→ Convert this given equation into the slope-intercept form.
The slope-intercept form is,
→ y = mx + b
Let's convert the equation,
→ -2x + 3y = 9
→ 3y = 9 + 2x
→ 3y = 2x + 9
→ y = (2x + 9)/3
→ y = (2x/3) + (9/3)
→ y = (2/3)x + 3
From this slope-intercept form:
→ Slope (m) = 2/3
→ y-intercept (b) = 3
Thus, the answer is y = (2/3)x + 3.
-4 = 2p + 10 need help find p
p is -7
Explanation:-4 = 2p + 10
we need the p to stand alone. So we make it the subject of formula
subtract 10 from both sides:
-4 -10 = 2p + 10 - 10
-14 = 2p + 0
-14 = 2p
divide both sides by 2:
-14/2 = 2p/2
-7 = p
The value of p is -7
Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?
Answer:
3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
40% of all customers walking into their store will buy at least one item on that occasion.
This means that \(p = 0.4\)
4 customers:
This means that \(n = 4\)
3.1 What is the probability that one or two out of the next four customers will make a purchase?
This is:
\(P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456\)
\(P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456\)
So
\(P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912\)
0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.
3.2. What is the probability that at least one out of the next four customers do not make a purchase?
This is:
\(P(X \leq 4) = 1 - P(X = 4)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256\)
\(P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744\)
0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase
Which of the following is a like radical to
6 3*/2x
A: 6 3*/x
B: 6 4*/2x
C:-5 3*/2x
D:6 3*/2x 2*
The third option C: -5∛2x is a like radical to the expression 6∛2x.
What are radicals?In mathematics, the symbol √ is used to represent or show that a number is a radical. Radical expression is defined as any expression containing a radical (√) symbol.
The expression 6∛2x can be expanded into two factors which bare 6 and ∛2x
Also for the third option C, the expression -5∛2x can be expanded into two factors which are -5 and ∛2x
By observation, we will notice the two expressions 6∛2x and -5∛2x have same factor ∛2x which make them like radical expressions.
In conclusion, the expression -5∛2x is a like radical expression to 6∛2x.
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Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
what is the volume of the cube shown?
The volume of the cube shown can be found to be 132. 65 inch ³ .
How to find the volume of a cube ?To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.
The formula for the volume of a cube is:
= Side x Side x Side
The side is 5. 1 inch so the volume is:
= 5. 1 x 5 .1 x 5. 1
= 132. 65 inch ³
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Solve this equation by transposing 4+5(m-1)=34
Answer:
Solving the equation \(4+5(m-1)=34\\\) we get m=7
Step-by-step explanation:
We need to solve the equation \(4+5(m-1)=34\\\) and find value of m
Solving using transpose method which states that if one term is added one one side, it gets subtracted on other side of equality
\(4+5(m-1)=34\\Multiply \ 5 \ with \ terms \ inside \ the \ brackets\\4+5m-5=34\\5m+4-5=34\\5m-1=34\\Adding \ 1 \ on \ both \ sides\\5m-1+1=34+1\\5m=35\\Divide \ by \ 5\\\frac{5m}{5} =\frac{35}{5}\\m=7\)
So, solving the equation \(4+5(m-1)=34\\\) we get m=7
I am lost please help thank you all
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
10 points plssssss!!!
Answer:
A. rectangle
B. any of triangle, quadrilateral, pentagon, hexagon
Step-by-step explanation:
A. A plane perpendicular to the base will intersect 2 adjacent or 2 opposite lateral faces, as well as the two bases. Each plane intersected will result in an edge of the cross sectional figure. The figure will have two pairs of parallel edges, so is a rectangle.
__
B. If the intersecting plane is not constrained to be perpendicular to the base(s), it can intersect 3, 4, 5, or all 6 faces of the prism. Hence, the shape of the cross section can be any of ...
trianglequadrilateralpentagonhexagonTrue or false
-y = -112 + 4; (0, -4)
Answer:
False
Step-by-step explanation:
Find the difference. Write your answer in the simplest form. 7/10 -1/4
Answer:
\(\frac{9}{20}\)
Step-by-step explanation:
Answer:
7/40 So sorry if I'm wrong!
Step-by-step explanation: