Use the graph that shows the solution to
f(x) = g(x).
f(x) = 1+2x/x=
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer.
Answers
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
Answer: a , b
Step-by-step explanation:
Related Questions
The answer to this maths question
Answers
Given:
Toilet rolls com in packs of 4 and 9.
4-pack is priced at £2.04.
9-pack is priced at £4.68.
To find:
The pack that has better value by calculating the price per roll.
Solution:
We have, the 4-pack is priced at £2.04.
So, the price per roll for this pack is:
[tex]\dfrac{2.04}{4}=0.51[/tex]
In the pack of 4 rolls the price per roll is £0.51.
It is given that, the 9-pack is priced at £4.68.
So, the price per roll for this pack is:
[tex]\dfrac{4.68}{9}=0.52[/tex]
In the pack of 9 rolls the price per roll is £0.52.
Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.
The given pattern continues. Write down the nth term of the sequence {a} suggested by the pattern. 7,-14,21,-28
Answers
Answer:
7_14-21-28-35-42-49 -56-63-70-77-84
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Answers
Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
In a group of 65 persons 20 drink tea but not coffee, 38 drink tea and 15 take neither of the tow then find How many drink tea and coffee both?
Answers
Answer:
18
Step-by-step explanation:
38 drink tea but 20 drink tea only.
38-20 =18 drink tea.
The diameter of a circle is 22 centimeters. What is the circle's circumference?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 69.08 centimeters.
»»————- ★ ————-««
Here’s why:
[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]
⸻⸻⸻⸻
The diameter is given. The radius is 11 cm.Recall that the radius is half the diameter.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit
Answers
Answer:
Option D can be your answer
The true statement about geometric figure is
One plane can be drawn so it contains all three points.
What is Plane?A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.
We have three points R, S and T.
So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.
There is a plane that contains our three points if we have three separate points in 3-space.
So, For the three points R, S, and T, the third assertion is accurate.
Learn more about Plane here:
https://brainly.com/question/1962726
#SPJ7
16 + 36 drag numbers to the lines to create an equivalent expression in factored form
Answers
Answer:
4(4+9)
(if you are able to use 4 twice)
The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.
The answer should be 12. please help with explanation and calculation!!!
Answers
Answer:
AC =10 cm
Step-by-step explanation:
triangle ABC is a right angled triangle
side opposite to angle B is hypotenuse
so hypotenuse=AC
here AB and BC are other two smaller sides of a triangle.
so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.
Let AB=a , BC=b and AC=c(hypotenuse)
[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]
36 + 64 =[tex]AC^{2}[/tex]
100=[tex]AC^{2}[/tex]
[tex]\sqrt{100[/tex] =AC
10=AC
Simplify to a single power of 6:
Answers
Answer:
6^2
Step-by-step explanation:
it is a division between two power with the same base, so we have to subtract the exponents
6^(6-4) = 6^2
Answer:
36
Step-by-step explanation:
6^6/ 6^4
46656/1296
36
You spin the spinner twice.
What is the probability of landing on a 6 and then landing on a 9?
Write your answer as a fraction or whole number.
Answers
Answer:
(1/4)(1/4) = 1/16
Calculate angle d in degrees.
2 points
125 cm
105 cm
35.06
40.03
42.25
44.89
Answers
Answer:
40.03
Step-by-step explanation:
GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Answers
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
Find the distance between the two points rounding to the nearest tenth (if necessary).(−2,−6) and (−7,6)
Answers
Answer:
distance = 13 units
Step-by-step explanation:
(-2 , -6)=(x1 , y1)
(-7 , 6)=(x2 , y2)
distance formula:
=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]
=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]
=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]
=[tex]\sqrt{25+144}[/tex]
=[tex]\sqrt{169[/tex]
=13 units
I am not sure why but it is causing me grief: "John walked 10 miles on Saturday. He walked twice as fast on the second 5 miles of his walk than he walked on the first 5 miles of his walk. Which expression represents the time he spent walking? Let x = John's speed on the first half of his walk."
Answers
Answer:
The total time spent in walking is [tex]\frac {15}{2x}[/tex].
Step-by-step explanation:
The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.
Total distance covered by John = 10 miles
Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.
Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.
So,
[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]
The total time spent in walking is
[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]
The bakery manager at the grocery store decides to have a 18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion represent?
Answers
What is the slope of the line that contains these points?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m=8}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]
⸻⸻⸻⸻
[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]
⸻⸻⸻⸻
[tex]\text{The slope is 8.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Please help asap will mark brainliest
Answers
Let p(x)=4x-18 and q(x)=-2x+k. For what value of k will the x intercept of q(x) be equivalent to the x intercept of p(x)
Answers
Answer:
Step-by-step explanation:
The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:
4x - 18 = 0 and -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.
4x = 18 so
x = 9/2.
-2x = -k so
x = k/2. If the x-intercepts are the same value, then
[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,
k = 9
Write the fraction as a decimal number.
151
4
1000
Please help me
Answers
Explanation: if you popcorn, or multiply 4 by 1000 and add 151 making the numerator be 4151 while the denominator stays the same (it stays 1000)
From there if your answer needs to be a decimal you just divide 4151 by 100 to get 4.151
Hope this helps :)
A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
jeans costs the same amount, which equation could you use to find the
amount a single pair of jeans costs? *
Answers
Answer:
$31.50
Step-by-step explanation:
3j = $94.50
j = 94.50 / 3
j = $31.50
Please please pleeeesse hurry if you see this and it’s right I with give brainliest
Answers
Answer:
forma is h * w / 2 and y and x have no value because there are no numbers to calculate.
Step-by-step explanation:
hope this helps!!!!!
Answer:
h * w/2 OR (base * height) / 2
/ = divide
* = multiply
Step-by-step explanation:
What is g(x)?
Please help!
Answers
Answer:
A
Step-by-step explanation:
It's just a normal quadratic graph but flipped meaning its just negative x squared
when data are presented in a paragraph form, it is in ______.
A.tabular
b.graphical
c.texture
d.abstract
Answers
Answer:c.texture
Step-by-step explanation:
Find the solution set of the inequality \qquad52- 3x < -14.52−3x<−14.52, minus, 3, x, is less than, minus, 14, point \qquad xxx
Answers
Answer:
x > 22
Step-by-step explanation:
Given the inequality;
52- 3x < -14
Subtract 52 from both sides
52 - 3x - 52 < -14 - 52
-3x < -14 - 52
-3x < -66
Divide both sides by -3
-3x/-3 < -66/-3
x > 22
Hence the required inequality is x > 22
what is the factor of 3x^+9x-12
Answers
Answer:
Hi, there your answer will be 3(x−1)(x+4)
Step-by-step explanation:
Find the area of the shape shown below.
Answers
Answer:
8
Step-by-step explanation:
First your rectangle
A = wl
A = 2 * 2
A = 4
Then one of your triangles
A = h b/2
A = 2 * 2/2
A = 2
you have 2 triangles, so the area is 4 + 4 from the rectangle
Answer:
Area = 8 units²
Step-by-step explanation:
Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.
Therefore, the area of the trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A=\frac{1}{2}(6+2)(2)[/tex]
[tex]A=\frac{1}{2}(8)(2)[/tex]
[tex]A=8[/tex]
This means that the area of the trapezoid is 8 units²
Given the system of equations below, identify the solution values. x − y = 3 x−y=3 7
Answers
Answer:
I believe there is no answer because if x-y = 3 x - y cant equal 3 7.
Step-by-step explanation:
Please mark brainliest :) hope i helped
Please help me I would really appreciate it, If you can't that is okay but please try
Answers
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
Pay
per month
O A. (130, 35, 125, 30, 120, 25, 115)
O B. {5, 10, 15, 20, 25, 30, 35)
OC. {5, 100, 10, 105, 15, 110,20}
OD. 100, 105, 110, 115, 120, 125, 130)
Can anyone please help
Answers
Answer:
5, 100, 10, 105, 15, 110,20}
Step-by-step explanation:
The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
The table
Now,
we can find the range of the function based on the input-output table:
The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.
To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.
Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.
Learn more about the domain and range of the function:
brainly.com/question/2264373
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What is the slope of the line shown?
Answers
Answer:
The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.
Step-by-step explanation: