What is the difference (how far apart on a number line are the solutions) between the sum of roots versus the product of the roots of the equation:
(x-5)(x+2)=0?
answer should be a number only
Answers
Answer:
7
Step-by-step explanation:
(x - 5)(x + 2) = 0
x = 5 & -2
Now,
given
r > s
r = 5, s = -2
Now,
=> r - s
=> 5 - (-2)
=> 5 + 2
=> 7
Related Questions
a) Given that sin x =cos x , find the value of tan x .
b) Find the values of x in the interval 0≤x<360 for which sin x =cos x .
Answers
[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]
[tex]8a⁴ × (9a)⁴ [/tex]
find the value of it
8a⁴ × (9a)⁴
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts
Answers
Answer:
a - 4/11
b - 11/30
c - 9/25
Step-by-step explanation:
have a lovely day <3
Answer:
a b c
Step-by-step explanation:
hope it helps
Which expression has the greatest value when c = 7? 12 - 2C 0R C - 5
please show working
Answers
If c = 7, then
12 - 2c
= 12 - 2(7)
= 12 - 14
= -2
c - 5
= (7) - 5
= 2
=》+2 > -2.
So, c - 5 has greater value than 12 - 2c, if c = 7.
______
Hope it helps ⚜
In Khan academy int he 8th grade section "Geometric transformation" in the section "Properties & definitions of transformations" how are you supposed to do this?
Answers
Answer:
First listen to the video on your left of the screen, and then on the right of your screen, you'll see tests. You click on the button below on the test that says practice and if you 3 out of 4 correct, you can do the other videos and tests.
Step-by-step explanation:
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answers
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9
Answers
Answer:
f(3) = 9
Step-by-step explanation:
The value for f(3) is given in the table (last entry)
But one can see that the function, f, is:
f(x) = 3x
This works for all values. f(3) = 3*3 or 9
The range of the function when x = 3 is f ( 3 ) = 9
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the input values of the function be x
where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }
Let the output values of the function be y
where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }
So , the range of the function when x = 3 is
f ( 3 ) = 9
Hence , the function is solved
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(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is
(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880
if the answer is correct with explanation will mark you as BRAINLIST
Answers
Answer:
the answer is C
Step-by-step explanation:
40,000/.80 = 50,000
50,000 x .10 = 5,000
50,000 - 5,000 = 45,000
45,000 x .06 =2700
45,000 + 2,700 = 47,700
You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?
Answers
69,420 ------------------------------------------------------------------------
2,826 rounded to the nearest tenth
Answers
Answer:
2,826
Step-by-step explanation:
A tenth is the first place value after the decimal point
In this case, 2,826.00
To round a number to the tenths place, we look at the hundredths place
If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's
If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's
In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.
Thus, our final answer is 2,826.
The US Constitution originally said that senators would be selected by state legislatures. Per the terms of the 17th Amendment, senators are now elected directly by the citizens of their respective states.
The party balance in the 115th Congress (2017–19) is 51 Republicans, 47 Democrats, and 2 independents, who caucus with the Democrats. As of January 2018, Republicans had control of the legislatures of 31 states; Democrats had control in 14; control was split in 4; and Nebraska was officially nonpartisan.
Develop an argument for or against repealing the 17th Amendment.
In your essay, you must:
articulate a defensible claim or thesis that responds to the prompt and establishes a line of reasoning.
use your knowledge of federalism, the constitutional position of the US Senate, partisan politics, checks and balances, voting rights, and the history of redistricting or gerr
Answers
Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.
With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.
Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.
Read more about the 17th Amendment here:
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Write an equivalent expression.
1. 8(y - 7)
2. -2x + 7
3. 3/5x + 2/5 + 3/5x
Answers
Answer:
8(y - 7) =8y-7-2x+7=7/2=3.5The equivalent expressions are;
1. 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are;
1. 8 (y - 7)
2. - 2 (x + 7)
3. 3/5x + 2/5 + 3/5x
Now,
Solve all the expression as;
1. 8 (y - 7) = 8 × y - 8 × 7
= 8y - 56
Thus, 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2 × x - 2 × 7
= - 2x - 14
Thus, - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5
= (3x + 3x)/ 5 + 2/5
= 6x / 5 + 2/ 5
= (6x + 2) / 5
Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5
Therefore, The equivalent expressions are;
1. 8 (y - 7) = 8y - 56
2. - 2 (x + 7) = - 2x - 14
3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5
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Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
Answers
x = -2
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y - 6x = 56
Answers
Answer:
y = 3/4 + 7
Step-by-step explanation:
you must put the equation into the form of y = mx + b
add 6x to both sides and put it in front of the 56
8y = 6x + 56
y must be by itself by x does not so we divide everything by 8
y = 6/8x + 7
we must simplify the fraction 6/8
y = 3/4x + 7
Which answer best describes the system of equations shown in the graph?
A. Consistent and dependent
B. Inconsistent
C. Not enough information
D. Consistent and independent
Thanks.
Answers
Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
Please solve on same Kind of coordinate plane. Thank you!
Answers
Answer:
(0,8)
Step-by-step explanation:
The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?
The formating kinda screwed up
Answers
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
The mid-point of two points is the mean of the coordinates of each point.In this problem:
The points are: A(2, -5) and B(x,y).The mid-point is (0, -3).Applying the concept for both the x and y-coordinates, we have that:
[tex]\frac{x + 2}{2} = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]\frac{-5 + y}{2} = -3[/tex]
[tex]-5 + y = -6[/tex]
[tex]y = -1[/tex]
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693
Describe the graph.
y=12x+2
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
A line that goes through the point (0,2) that goes up one unit for every two units moving right.
A line that goes through the point (2,0) that goes up one unit for every two units moving right.
Answers
Answer:
It would be the last one!! Hope this helps
I NEED HELP PLEASE will give crown
Answers
Answer:
hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:
Step-by-step explanation:
If there is a 30% chance of snow today and a 10% chance of snow tomorrow, what is the chance that it will not snow today and tomorrow? Write your answer as a percent.
Answers
Answer:
The weather forecast says that there is a "30% chance of rain," and we think we understand what it means. This quantitative statement is assumed to be unambiguous and to convey more information than does a qualitative statement like "It might rain tomorrow." Because the forecast is expressed as a single-event probability, however, it does not specify the class of events it refers to. Therefore, even numerical probabilities can be interpreted by members of the public in multiple, mutually contradictory ways. To find out whether the same statement about rain probability evokes various interpretations, we randomly surveyed pedestrians in five metropolises located in countries that have had different degrees of exposure to probabilistic forecasts--Amsterdam, Athens, Berlin, Milan, and New York. They were asked what a "30% chance of rain tomorrow" means both in a multiple-choice and a free-response format. Only in New York did a majority of them supply the standard meteorological interpretation, namely, that when the weather conditions are like today, in 3 out of 10 cases there will be (at least a trace of) rain the next day. In each of the European cities, this alternative was judged as the least appropriate. The preferred interpretation in Europe was that it will rain tomorrow "30% of the time," followed by "in 30% of the area." To improve risk communication with the public, experts need to specify the reference class, that is, the class of events to which a single-event probability refers.
what is an equation in slope-intercept form for the line (-5, 2) and (5,-3)?
Answers
Answer:
y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
solved using point-slope form
points given: (-5, 2) and (5, -3)
slope: [tex]\frac{-3-2}{5-(-5)} =\frac{-5}{10} =-\frac{1}{2}[/tex]
y = [tex]-\frac{1}{2}[/tex] x + b
insert x- and y- values of (-5, 2) and solve for b
2 = [tex]-\frac{1}{2}[/tex] (-5) + b
2 = 2.5 + b
subtract 2.5 from both sides
2 - 2.5 = 2.5 + b - 2.5
-0.5 = b
insert b- value
y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]
57 yard . ×/1 yard =171 ft.
Answers
Answer:
the answer should be b good luck
Which expression shows a way to find 22 X 46?
Answers
Answer:A. (22)(40)+(22)(6)
Step-by-step explanation: (22)(40)+(22)(6)
880+(22)(6) 880+132 1012
The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
1/128
1/256
1/512
1/1024
Answers
Answer:
it's the 4th one
Step-by-step explanation:
A, the one you mentioned
B, the 7th
C, the 8th
D is your answer
please help me quick
Answers
Answer:
c
Step-by-step explanation:
Q7 AND Q8 solve in full steps
Answers
Answer:
Steps in the picture
Hope it helps
Test the following point in the inequality
-2x – 3y < 15 Test ( 6 , -10 ) Please help with this
Answers
-2/9 (-5/3) I Ready Multiply and Divide Rationals.
Answers
what are integer solutions to the equality below-2 < x < 2
Answers
Answer:
-1, 0, 1
Step-by-step explanation:
Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
Answers
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
collect similar terms together
(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
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