The graph is shown in the attachment below
From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7
From the picture, we are to draw the graph of the function
[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)
First we will create the table of values for the function
Table of values for the function [tex]y = -\frac{4}{x}[/tex]
x y
-3 1.33
-2 2
-1 4
0 Undefined
1 -4
2 -2
3 -1.33
(Shown better in the docx attachment)
The graph for the function [tex]y = -\frac{4}{x}[/tex] (purple lines) is also shown in the attachment.
To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]
We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]
From [tex]\frac{4}{x}-2x+1=0[/tex]
Then, [tex]-2x+1= -\frac{4}{x}[/tex]
∴ [tex]y = -2x+1[/tex]
Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.
The function is a linear equation
The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph
x y
0 1
0.5 0
(Shown better in the docx attachment)
The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]
From the graph, the points of intersection are -1.2 and 1.7
Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7
Learn more here: https://brainly.com/question/17174762
Which two ratios represent quantities that are proportional?
A. 25/28 and 5/7
B. 22/33 and 14/21
C. 16/13 and 13/16
D. 48/60 and 35/42
Answer:
B
Step-by-step explanation:
22/33 = 0.667
14/21 = 0.667
Since both quantities both have the ratio of 2:3, they are proportional
The other choices are not proportional
25/28 = 0.893
5/7 = 0.714
16/13 = 1.231
13/16 = 0.813
48/60 = .8
35/42 = .833
If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .
Answer:
71Step-by-step explanation:
As per question we have:
p > 0, q > 031p/8q ≤ 5 ⇒ 31p ≤ 40qSince 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.
So the minimum value of p + q is:
40 + 31 = 71the place value of the number 2 in the number 3245base six is
a)72 B )100 C) 36 D) 200
Answer:
a) 72
Step-by-step explanation:
The rightmost digit, 5, is in the ones place, so its value is 5.
The next digit to the left, the 4 is in the sixes place, so its value is 4 * 6 = 24.
The next digit to the left, the 2, is in the 36 place, so its value is 2 * 36 = 72.
Answer: a) 72
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tr2
18 inches
Area = [?] inches
Enter the number that
belongs in the green box.
Answer: 254.34
Step-by-step explanation: 3.14(9*9)=254.34
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
What is the percentage of 360grams of 6kg
360 grms of 6kg
answer,
first convert 6kg into grms.
6kg = 6000grms.
now,
360 grms of 6kg= (360/6000)×100•/•
= 6 •/•
How much would $600 invested at 8% interest compounded continuously worth after 3 years?
Answer:
[tex]a \: = \: pe ^{rt} [/tex]
[tex]a = 600e^{(.08)(3)} [/tex]
[tex]a = 762.75 \: dollars[/tex]
Since the question stated that the interest is compounded continuously, we know that Euler number is required
Given the proportion (a/b) = (c/d), solve for c.
Answer:
c = da/b
Step-by-step explanation:
a/b = c/d
a/b x d = c
c = da/b
Monica wants to save at least $399 to buy a new laptop computer. She has $284 saved
already. Which option below will allow her to have enough money to buy the computer?
a. She spends $22 and earns $93.
b. She is given $38 and earns $42.
c. She spends $82 and earns $94.
d. She earns $580 and spends $422.
Answer:
D. She earns $580 and spends $422.
Step-by-step explanation:
The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.
First, add $580 to the $284 that she already has saved:
284 + 580
= $864
Then, subtract $422 from this:
864 - 422
= $442
So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.
The option that will let her buy the computer is D. She earns $580 and spends $422.
To make a vertical bar graph that shows the average miles per gallon of gas for five different models of car, what should the horizontal axis represent?
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = –10+
Answer:
the missing values is 5
I hope it's helps you
I’m so confuseddddd
Answer:
i think second number.
not sure but i think that's the answer
YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT
Answer:
Fill up the .3 container and then pour it into the .5
fill up the .3 again and fill up the .5 ... if all is poured in the .5 will overflow over the top.
stop when the .5 is totally full... only .3 will fit... the liquid left in the .3 will be .1
Step-by-step explanation:
help me please!!! :)
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
The equation |ax + b| = c must have ? .
O only 1 solution
O 1 or 2 solutions
O 0, 1, or 2 solutions
O 0,1 or an infinite number of solutions
Answer:
O 0,1 or an infinite number of solutions
Step-by-step explanation:
is {1, ...} a defined set
Answer:
no it is not a defined set
help me
its geometry
Answer:
A = 216.24 km²
Step-by-step explanation:
find the greatest common factor of the following monomials 49a4b3 21a4b5
Answer:
[tex]7a^4b^3[/tex]
Step-by-step explanation:
[tex]49a^4b^3 \\ 21a^4b^5[/tex]
GCF: [tex]7a^4b^3[/tex]
twice n
Algebraic expression
Answer and Step-by-step explanation:
2n is the algebraic expression for twice n.
#teamtrees #PAW (Plant And Water)
Factor 15x3 – 5x² + 6x – 2 by grouping. What is the resulting expression?
Help. ME. confused!
Which equation is a direct variation function?
y = x
y = 4
y = x2
y = 1/4 x + 2
Answer:
Two choices are correct answer.
y = x and y = 1/4 x
Step-by-step explanation:
We have given four equations.
We have to choose the equations that are direct variation function.
Direct variation function is defined as the relation where one variable vary constant times to the other variable.
let two variables are x and y.
y = kx where k is constant.
Comparing given equation , we notice that
y = x is direct variation function where k = 1.
y = 1/4 x is direct variation function where k = 1/4.
when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!
Let y = √x, so the limit can be rewritten as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]
Now,
[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]
so we can rewrite the limit further as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]
Combine the rational terms:
[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]
Then in the limit, we get
[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]
PLESE HELP YOU WILL GET ALOT OF POINTS
Answer:
It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...
Step-by-step explanation:
By x the just mean what number,... so,...
what number + 6 = 7,
6 + what number = 7,
2 + what number + 5 = 7,
1 + what number = 7,
what number + 4 + what number = 7,
So that is what it mean,... hope it helps, alot LOL,... and,... Chow
i need help anybody ?
Answer:
16.7
Step-by-step explanation:
In a right triangle, a²+b²=c², with c representing the hypotenuse. In a right triangle, the hypotenuse is the side opposite of the right angle, or the angle symbolized by the square. Here, the right angle is opposite of the side with a length of 20, so we can say that
c = 20
Therefore,
a²+b² = 20², with a and b representing the other two sides*. Because 11 is given as another side, we can say
11² + b² = 20²
121 + b² = 400
subtract 121 from both sides
279 = b²
square root both sides
b = √279 ≈ 16.7 as the third side
* for our purposes, it does not matter which side is a and which side is b
What is the solution of ?
Answer:
The answer to your question would be x=12. Equation is worked out below
Step-by-step explanation:
5 /2 x−7= 3 /4 x+14
5 /2 x-3/4x − 7 = 3 /4 x-3/4x +14
7/ 4 x−7=14
7 /4 x−7+7=14+7
7/ 4 x=21
do the opposite of 7/4x (division)
7/4 / 7/4x = 21 / 7/4
4/7 / 7/4x (cross each other out) = 21 / 4/7
x=12
Answer:
[tex] \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12[/tex]
I hope I helped you^_^
Please solve if you can!
Answer:
Step-by-step explanation:
1) 76*.67 = 50.9
73 * .33 = 24.1
75% = C
2) .3 * 71 + .3*77+ .4*98=
21.3+23.1+39.2 = 83.6
83.6 = B
3) 73.24 vs. 68.55
hw 88 22 13.2
cp 84 8.4 8.4
test 59 23.6 35.4
fe 77 19.25 11.55
tats ester
totals = 73.24 68.55
Which of the relations given by the following sets of ordered pairs is a function?
Select one:
a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}
b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Answer:
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function
Step-by-step explanation:
a.{(2,4),(2,6),(2,8),(2,10),(2,12)}
Each value of x goes to more than one value of y- this is not a function
b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
The value of x at -4 goes to more than one value of y- this is not a function
c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
The value of x at 0 goes to more than one value of y- this is not a function
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Each value of x goes to only one value of y- this is a function
Suppose that the function h is defined, for all real numbers, as follows.
Answer:
gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know
Answer:
see explanation
Step-by-step explanation:
h(- 3) with x = - 3, that is x ≠ 1 , then
h(- 3) = - [tex]\frac{1}{2}[/tex] (- 3) + 2 = [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{7}{2}[/tex]
h(1) with x = 1 , then
h(1) = 1
h(3) with x = 3, that is x ≠ 1 , then
h(3) = - [tex]\frac{1}{2}[/tex] (3) + 2 = - [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{1}{2}[/tex]
Two teams are playing basketball. At the end of the game,
Team A scores 72 points and Team B's score is 125% of Team
A's. How many points does Team B score?
Answer: 90 points
Step-by-step explanation:
Team A's score = 72 points
Team B's score = 125% of A's
= 90 points
please click thanks and mark brainliest if you like :)