The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
Answers
There are two solutions because the two functions cross each other twice.
The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
We have a graphical representation of two functions f(x) and g(x) and where they intersect.
We have to solve the equation f(x) = g(x)
Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.
In the question given - We have a straight line and a parabola -
Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).
Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
Alternative Method -
The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]
The solution can be calculated by equating both of the above expressions and solving them.
mx + c = [tex]\sqrt{4ax}[/tex]
To solve more questions on solving the equations, visit the link below -
https://brainly.com/question/1386163
#SPJ5
Related Questions
Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12
Answers
Need help with hw due in less than a hr!
Answers
Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.
Answers
Answer:
2 1/3+5/6+1/6= 3 1/2
Step-by-step explanation:
Change your denominator to 6 and add then reduce if possible
Two of the side lengths of a triangle are 19 cm and 29 cm. If the third side
length is also an integer, what is the largest length it could be?
Answers
Answer:
47
Step-by-step explanation:
Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. Who ran farther and by how much?
Answers
Answer:
Omar ran farther
Step-by-step explanation:
Paula ran 3250 meters and Omar ran 4200 meters. Omar ran 950 more meters than Paula
omar because 3 1/4 meters is the same as 3250 meters so then
4200>3250 so omar did more
The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.
Answers
Answer:
0.000167 g
Step-by-step explanation:
[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]
True or False:
If you have an odd number of negative factors your answer will be negative. *
<3
Answers
Answer:
It's true,
I'm sure about it
HELP PLEASE!!! Math question
Answers
Answer:
(a). [tex]\frac{3}{7}[/tex]
(b). [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]
Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]
Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1
Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.
= 1 - [tex]\frac{4}{7}[/tex]
= [tex]\frac{7-4}{7}[/tex]
= [tex]\frac{3}{7}[/tex]
(b). Probability of winning the match + probability of not winning the match = 1
[tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1
Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]
= [tex]\frac{13-9}{13}[/tex]
= [tex]\frac{4}{13}[/tex]
On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
4 units
11 units
14 units
15 units
Answers
Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10
Answers
Answer:
x=30
Step-by-step explanation:
Let's solve your equation step-by-step.
35=1.5x−10
Step 1: Flip the equation.
1.5x−10=35
Step 2: Add 10 to both sides.
1.5x−10+10=35+10
1.5x=45
Step 3: Divide both sides by 1.5.
1.5x÷1.5=45÷1.5
x=30
Write an expression that is equivalent to 27e + 24.
Answers
Answer:
3 (9e + 8)
explanation:
3 x 9e = 27e
and
3 x 8 = 24
Both are multiplyed by 3 so your first number is
3 ( ?e + ?)
then the 2ed has e beside so i know thats 9
3 ( 9e + ?)
The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8
3 (9e + 8)
3(9e+8) is the expression that is equivalent to 27e + 24.
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the equivalent fraction of 27e + 24.
For this let us find the factors of 27 and 24
Factors of 27 are 1,3,9,27
Factors of 24 are 1,2,3,4,6,8,12,24
The greatest common factor is 3.
So in the expression 27e+24 take 3 as common
3(9e+8)
Hence 3(9e+8) is the expression that is equivalent to 27e + 24.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answers
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
Learn more about concept here:
brainly.com/question/13330632
#SPJ2
getting bored.Is there anyone???
Answers
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
Given the graph that is shown. What is the range of the function?
Answers
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
What are the missing angles?
Answers
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59
I hope this helps!!
"Nine more than three times a number is negative six"
what is the answer?
Answers
I'm sorry I have No clue
Step-by-step explanation:
lol but I honestly d0n7 kno
4x2
4x + 10 and 2x2 + 5x – 8.
Answers
Answer:
14x , -4+5x
I hope this helps
have a fantastic day
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answers
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
I need help can you help me
Answers
Answer:
2 : 3
Step-by-step explanation:
BRAINLIEST PLEASE
write a word problem for 8x - 5 = 40
Answers
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
Please Help Meeee! Its a multiple answers..
Answers
Answer:
B C E
Step-by-step explanation:
trust me... its too hard to explain
Pls helpppppppp......... :( :( :(
Answers
Answer:
Step-by-step explanation:
a: is not proportional
because you cant divide any of the tope numbers by the bottom numbers so u can leave the thing blanc.
b: is proportional
becuase you can divide the top and bottom by 30 so the answer is 30
hope this help :)
Answer: 30 for b
Step-by-step explanation:
Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What could be the coordinates of the other two vertices of the rectangle?
A. (4, 12) and (–1, 12)
B. (–1, 1) and (4, 1)
C. (4, 6) and (–1, 6)
D. (4, 7) and (–1, 7)
Answers
Step-by-step explanation:
I have read about this in my class
Answer:
ITS a.
Step-by-step explanation:
What is 6/7 divided by 2/7
Answers
Answer:
3
Step-by-step explanation:
6/7 divided by 2/7
=
6/7 divide 7/2 (cancel out 7)
=
6 multiply 1/2 (reduce)
=
3
i need help on this one
Answers
Answer:
Is g(x)
Step-by-step explanation:
We search the roots of the function on this way
(x-1)^2 (x+2) =0
(x-1)^2 =0
x-1=[tex]\sqrt{0}[/tex]
x=1 ////
(x+2)=0
x=-2 ////
So (1,0) and (-2,0) are the roots of the function (as the image)
Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
Topping
pepperoni
sausage
onions
cheese
Number of Students
45
36
9
16
What is the ratio of students who prefer sausage to students who prefer pepperoni?
O 1:2
O 2:3
O 3:4
04:5
Answers
What is the slope of this graph ?
Answers
Answer:
5/2
Step-by-step explanation:
rise/run. the graph rises 5 and over 2 to the next point
*I used the slope formula too just to make sure*
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answers
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours
Answers
Answer:
1/2
Step-by-step explanation:
First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome
Answer:
15/8
Step-by-step explanation:
Find the slope between the following points (2,5) and (-3,-9)
Answers
Answer: 14/5
Step-by-step explanation: Use Algebra calculator on math papá.com
Answer:
[tex]m=\frac{14}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-3, -9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract: [tex]m=\frac{-14}{-5}[/tex]Simplify: [tex]m=\frac{14}{5}[/tex]