Use a table of values to find the solution to the equation f(x)=h(x) where
f (x) = 2/3-x and
h(x)= 3- 2x
Show your work
Answers
9514 1404 393
Answer:
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
f(x) = (2/3) -x
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
h(x) = 3 -2x
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
__
In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
_____
Additional comment
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.
Related Questions
A desktop is shaped like a semicircle with a diameter of 28 what is the area of the desktop?
Answers
Answer:
307.72
Step-by-step explanation:
if the diameter is 28 then the radius is 14 (half of the diameter)
y is directly proportional ( x+2)²
when x = 8 y= 250
find y when x = 4
Answers
Answer:
y=90 when x=4
Step-by-step explanation:
We are given that
[tex]y\propto (x+2)^2[/tex]
When x=8 and y=250
We have to find the value of y when x=4
[tex]y=k(x+2)^2[/tex]
Where k= Proportionality constant
Substitute the values
[tex]250=k(8+2)^2[/tex]
[tex]250=100k[/tex]
[tex]k=\frac{250}{100}[/tex]
[tex]k=5/2[/tex]
Now, substitute x=4 and k=5/2
Then, we get
[tex]y=\frac{5}{2}(4+2)^2[/tex]
[tex]y=\frac{5}{2}\times 36[/tex]
[tex]y=90[/tex]
15 POINTS. Ronna is estimating the amount of a 15% tip for a $20.36 bill. Her friend Suri said that $2 is a good estimate. Do you agree? Explain.
Answers
Hi
It's not a good estimation. 2 is 10% of 20, so 5% is 1 dollar.
As the bill is above 20, and 15 = 10+5 , so 15% is at least more than 3.
So 3 would be a better estimation.
In fact, 15% of 20.36 is : 20.36 *0.15 = 3.054
I can Multiply a 4x4 matrix by a 4x3 matrix. The resulting matrix will be a?
Answers
Answer:
21
Step-by-step explanation:
how to find the vat on 14% of 1800
Answers
Answer:
14/100*1800
25200/100
252
Step-by-step explanation:
therefore vat=252
In ΔDEF, the measure of ∠F=90°, DF = 3, ED = 5, and FE = 4. What is the value of the tangent of ∠E to the nearest hundredth?
Answers
Answer:0.75
Step-by-step explanation:
trust me
Answer for brainlest
Answers
Answer:
Alternate interior angles.
Step-by-step explanation:
find the length of the missing side
help!
Answers
Answer:
B would be 72 using a^2+b^2=c^2
Step-by-step explanation:
30^2 + x =78^2
in other words
900 + x =6084
6084-900= 5184
The square root of 5184 is 72
In a math class with 20 students, a test was given the same day that an assignment was due. There were 11 students who passed the test and 15 students who completed the assignment. There were 9 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?
Answers
Answer: 3/20 or .15
Step-by-step explanation:
Can someone please help and explain how to use the Pythagorean Theorem to prove a triangle is a right triangle.
Answers
Hi there!
For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2
And then find the root of the hypotenuse.
For example,
15^2 + 8^2 = the hypotenuse^2
Which equals, 225 + 64 = 289
Square root of 289 = 17
Please mark me brainliest if this helps!
Have a wonderful day!
Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.
Answers
Answer:
40%Step-by-step explanation:
There are 20 men and 8 of them prefer movies.
P = 8/20 = 0.4 = 40%Which factorization is equivalent to this expression?
−20x − 5y
Answers
Answer:
[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]
In the figure CE=34 cm and DE=30 cm. What is the radius of the circle?
Answers
The radius divides the diameter into 2, and the radius of the circle is 16 units
How to determine the radius?The radius of the circle and the tangent line meet at a right angle.
This means that:
CE² = r² + DE² ------ Pythagoras theorem
So, we have:
34² = r² + 30²
Evaluate the squares
1156 = r² + 900
Rewrite as:
r² = 1156 - 900
Evaluate
r² = 256
Take the square root of both sides
r = 16
Hence, the radius of the circle is 16 units
Read more about radius at:
https://brainly.com/question/9554871
#SPJ2
PLS help
Which of the following statements are true about the solids shown above
Answers
Answer:
kkkkkk
Step-by-step explanation:
Simplify 6(2x-y) - 3(5x+2y)
-3x - 12y
O 3x + 12y
9x + 14y
Which one is the answer
Answers
Help I need this answer ASAP
Answers
Answer: c
Step-by-step explanation: because yes
Answer:
d po answer
yan po sinagot ko
hehe
what is the time in Nigeria WHOEVER GETS IT ROGHT I WILL GIVE YOU BRAINLIEST
Answers
Answer:
7:55 PM
hope this helps
have a good day :)
Step-by-step explanation:
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
y = ( x + 9 )^2 - 2
................................
................................
pls help!! Need the answer asap!!
Answers
Step-by-step explanation:
19+k=90°
k=90-17
k=71°
stay safe healthy and happy .If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
3
second
first
1 2
4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
22,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
55,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answers
Answer:
1/12
Step-by-step explanation:
3/36=1/12
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please
Answers
Step-by-step explanation:
If it's a straight line the use formula
[tex]y = mx + c[/tex]
m= gradient of line
c = y-intercept
we know that y-intercept is 4 so coordinate is
(0,4)
Equation also passes (2,10)
Use both coordinate to find gradient
m= vertical distance / horizontal distance
= (10-4) / (2-0)
= 3
y = 3x + 4
There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother get?
Answers
9514 1404 393
Answer:
1/12 box
Step-by-step explanation:
Each brother gets 1/4 of the remaining 1/3 box, so ...
(1/4)(1/3 box) = 1/(4·3) box = 1/12 box
Each brother gets 1/12 of the original box.
plz plz plz plz help me
Answers
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
Kristy had a piece of fabric that she cut into 8 equal squares. Each square has area 0.625 ft2. What is the area of Kristy's original piece of fabric?
ft2
PLS HELPPP
Answers
Answer:
5[tex]ft^2[/tex] is the area of the original piece of fabric.
Step-by-step explanation:
0.625 x 8 = 5
louis makes a$15 [er hour working at the mall. which equation represents the total amout of money, d, louis makes in h hours?
Answers
Answer:
15H = D
Step-by-step explanation:
Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:
15H = D
So, for example, if Louis worked 10 hours, the equation would operate as follows:
15 x 10 = D
150 = D
A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of the boys. She randomly selects 10 girls from the class and then randomly selects 10 boys. She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10. She does the same thing for the boys. She pairs each girl with the boy having the same number. She then performs a paired Do you think that in this situation a paired is the most appropriate procedure?
Answers
Answer:
No
Step-by-step explanation:
A matched pair design is used when we have two different observation about a certain experiment for each subject such that there is a natural pairing between the two population.
In the scenario described above, we have 20 subjects of which 10 are boys and 10 are girls.
Matching boys and girls having similar numbers does not depict natural pairing and thus using a matched paired test would be inappropriate. The test to use for such experiment is the two population t test.
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answers
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
If anyone could help it would be great
Answers
Answer:
See the pictureStep-by-step explanation:
Solved, green filled arrows in the pictureTom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probability that exactly one out of the next three throws does not hit the target.
Categorize the simulations as correct or incorrect simulations of Tom’s scenario.
Roll a six-sided die three times. The
numbers 1 to 4 represent hits, and
5 and 6 represent misses.
Spin a spinner with three equal sections
three times. On the spinner, one section
represents a miss and two sections
represent hits.
Generate a set of three numbers using
a number generator with numbers
between 0 and 9. The numbers 0 to 7
represent hits, and 8 and 9 represent
misses.
Generate a set of three numbers using
a number generator with numbers
between 0 and 8. The numbers 0 to 5
represent hits, and 6 to 8 represent
misses.
Spin a spinner with six equal sections
three times. On the spinner, four
sections represent hits and two
sections represent misses.
Answers
Answer:
no
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]
≈74