Answers
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Related Questions
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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2x+y=−1.5
y=3.5x+15.
Answers
Answer:
x=-3, y=4.5
Step-by-step explanation:
A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?
Answers
Answer:
Step-by-step explanation:
+
1.85
5.40
_____
6. 2 5
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
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.
Learn more about simplification of algebraic expression here: https://brainly.com/question/8956927
Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection
Answers
Answer:
3:2
Step-by-step explanation:
42:28
21:14
3:2
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]
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
What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answers
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
i need help with this!!!!
Answers
Answer: 2. 5.
Step-by-step explanation:
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
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answers
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
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]
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 ------------------------------------------------------------------------
Write an algebraic expression for the following: A number that is 5 more than half of x
Options:
1. 5x x 1
2. 0.5x + 5
3. 5x
4. 0.5x - 5
Answers
Answer:
2. 0.5x + 5
Step-by-step explanation:
5 + 0.5x
Please solve on same Kind of coordinate plane. Thank you!
Answers
Answer:
(0,8)
Step-by-step explanation:
Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
Answers
x = -2
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.
57 yard . ×/1 yard =171 ft.
Answers
Answer:
the answer should be b good luck
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
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:
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
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 ⚜
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answers
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
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
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15
Answers
The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.Reasons:
First part;
The given data is presented as follows;
[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]
The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]
Where;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
[tex]\overline y[/tex] = The mean crash fatality = 15.52
[tex]\overline x[/tex] = The mean lemon import = 373.6
Therefore;
[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]
c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]Second part;
When the imports is 425 metric tons of lemon, we have;
[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
The prediction is worthwhile
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-2/9 (-5/3) I Ready Multiply and Divide Rationals.
Answers
please help me quick
Answers
Answer:
c
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY!!!
Answers
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
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:
