Consider continuous functions f and g. Then complete the statement.
(See attachment)
The x-intercept of the function f is (greater than, equal to, or less than) the x-intercept of function g.
(Multiple choice in the parentheses)
Correct answer receives BRAINLIEST! Have a great day. ❤️
Using the concept of x-intercept, it is found that the correct statement is:
The x-intercept of the function f is greater than the x-intercept of function g.What is the x-intercept of a function?The x-intercept of a function is the value of x when y = 0.In this problem, in function f(x), when f(x) = 0, x = 3, hence the x-intercept is x = 3.
Function g(x) is defined by:
[tex]g(x) = 2 + \sqrt[3]{3x + 1}[/tex]
Hence, the x-intercept of g(x) is found as follows:
[tex]g(x) = 0[/tex]
[tex]2 + \sqrt[3]{3x + 1} = 0[/tex]
[tex]\sqrt[3]{3x + 1} = -2[/tex]
[tex](\sqrt[3]{3x + 1})^3 = (-2)^3[/tex]
[tex]3x + 1 = -8[/tex]
[tex]3x = -9[/tex]
[tex]x = -\frac{9}{3}[/tex]
[tex]x = -3[/tex]
The x-intercept of g(x) is -3, which is less than the x-intercept of function f(x), hence, the correct statement is:
The x-intercept of the function f is greater than the x-intercept of function g.To learn more about the concept of x-intercept, you can take a look at https://brainly.com/question/24737967
A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?
Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
Profit is the difference between the revenue and cost functions
A production greater than 19 will turn a profit
From the question, we have:
[tex]\mathbf{R(x) = 6x}[/tex]
[tex]\mathbf{C(x) = 12x + 114}[/tex]
So, the profit function is:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
Substitute known values
[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]
[tex]\mathbf{P(x) = - 6x - 114}[/tex]
Equate to 0
[tex]\mathbf{- 6x - 114 = 0}[/tex]
Collect like terms
[tex]\mathbf{- 6x= 114}[/tex]
Divide both sides by -6
[tex]\mathbf{x= -19}[/tex]
The above equation means that: A production greater than 19 will turn a profit
Read more about profit functions at:
https://brainly.com/question/16866047
A survey of 120 college students is conducted and the results displayed below show that 80 students have a smartphone, 65 have a tablet, and 10 have neither. Fill in the empty table cells in the two-way frequency table.
Smartphone No Smartphone Total
Tablet 65
No Tablet 10
Total 80 120
What is the probability (rounded to the nearest whole percent) that a randomly selected college student has a tablet but not a smartphone? (4 points)
a
25%
b
30%
c
54%
d
38%
Answer:
the answer is 54 %
Step-by-step explanation:
divide 120/65=0.54, then since you're looking for the percent you multiply it by 100, and the answer would be 54%
Yousuf needs 7 4/9 yards of fabric to make blanket for his mom for Mother’s Day. He found 3 1/3 yards of pink fabric. How much more does he need to finish the blanket
A. 4 1/9
B. 10 7/9
C. 4 3/9
D. 10 1/9
What is the equation of a line that is perpendicular yo the line whose equation is 2y+3x=1?
Answer:
y = 2/3x + 1/2
Step-by-step explanation:
First, make the equation into a slope-intercept form:
2y + 3x = 1
2y = -3x + 1
y = -1.5x + 0.5
You can make it into a fraction:
y = -3/2x + 1/2
Now here's the equation:
y = 2/3x + 1/2
Hope this helps!
Let me know if I'm wrong :)
A Giant Sequoia tree is planted in Trevor's
backyard when it is 2 ft tall. The tree grows an
average of 4 ft each year. Write a function and
graph the height of the tree over this time period.
I need to know the answer and what points to graph please help
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
what is the solution of 7k+2=4k-10? (anwser asap plz)
1.- Divison property of Equality
2.- Simplify
3.-Subtraction Property of Equality
4.- Subtract
Answer:
3
Step-by-step explanation:
Answer:
k = -4
division property
Step-by-step explanation:
Use synthetic division to find f(2)
f(x) = 2x3 –3x²+7X-12
Step by Step Solution:
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
1 result(s) found
x
2
−x−3
Which graphed matches the equation y+ 6 =
5 = 2 x + 4)?
Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.
Answer:
5.89 g/cm³
Step-by-step explanation:
givens,
Mass = 22.4 g
volume = 3.8 cm³
Density = mass / volume
= 22.4 / 3.8
= 5.89 g/cm³
The density with a volume of 3.8 cm³ and a mass of 22.4 g is 5.89 g / cm³.
Given,
The volume of a mineral = 3.8 cm3
And the mass of the mineral = 22.4 g
We need to find the density.
What is density?It is the ratio of mass and volume.
Density = mass / volume
Find the density.
Volume = 3.8 cm³
Mass = 22.4 g
Density
= Mass / Volume
= 22.4 / 3.8
= 5.89 g / cm³
Thus the density with a volume of 3.8 cm³ and a mass of 22.4 g is
5.89 g / cm³.
Learn more about how to find density in the cgs system here:
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Find an equation of the line that satisfies the given conditions.
Through (2, 9); parallel to the line passing through (3, 7) and (−1, 3)
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Answer:
y = x +7
Step-by-step explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
__
The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form
a tourist information center charges $10 per hour to rent a bicycle
Answer:
10per the other side of alloys
Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?
Answer:
I don't known
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
First, obtain the total of the ratio:
7+4 = 11
Then, make equations:
[tex]\frac{7}{11} =\frac{x}{484}[/tex] and [tex]\frac{4}{11} =\frac{x}{484}[/tex]
Next, solve:
11x = 7*484 → 11x = 3388 → x = 308
11x = 4*484 → 11x = 1936 → x = 176
Finally, find the difference:
308 - 176 = 132
(**If it is asking how many times bigger... 308/176 = 1.75 or [tex]\frac{7}{4}[/tex] )
-6(x - 6) = x(16 - 7)
Help please
Answer:
the answer would be x equal 2.4
Step-by-step explanation:
sorry for my bad handwriting
A large cable company reports the following.
80% of its customers subscribe to its cable TV service.
41% of its customers subscribe to its Internet service.
31% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
22% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities.
a. P(cable TV only)
b. P(Internet I cable TV)
c. P(exactly two services)
d. P(lnternet and cable TV only)
Answer:
Step-by-step explanation:
Let n(U) be total amount or customers = 100%
n(C) = 80% of its customers subscribe to its cable TV service.
n(I) = 41% of its customers subscribe to its Internet service.
n(T) = 31% of its customers subscribe to its telephone service.
n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.
n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.
n(InT) = 22% of its customers subscribe to both its Internet and phone service.
n(CnInT) = 15% of its customers subscribe to all three services
number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))
= 80-[(25-15)+(20-15)+15]
= 80-{10+5+15)
= 80-30
= 50
Hence 50% read cable TV only
Pr(cable TV only) = 50/100 = 1/2
2) number of people that read internet and cable TV = 25%
Pr(internet and cable) = 25/100 = 1/4
3) number of people that had exactly two services are;
n(cable and internet only)+n(internet and phone only)+(cable and phone only)
= (25-15)+(22-15)+(20-15)
= 10+7+4
= 21%
Hence 21℅ read exactly two services
pr(exactly 2 services) = 21/100
4) number of people that read internet and cable only = n(CnI) - n(CnInP)
= 25-15 = 10%
Pr(Internet and cable only) = 10/100 = 1/10
10. A minute hand will clearly turn a total of 360° in an hour. How many minutes will it take for the minute hand
turn 155? Round to the nearest minute. Show the calculations that lead to your final answer
Answer:
5 min
Step-by-step explanation:
If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.
The first step is to find the number of degrees the minute hand goes in a minute:
= Degrees in an hour / Minutes in an hour
= 360 / 60
= 6° per minute
In order to go 155°, the minute hand would go for:
= Degrees / Degrees per minute
= 155 / 6
= 25.83
= 26 minutes
In conclusion, it would take 26 minutes for the minute hand to turn 155°.
Find out more at https://brainly.com/question/8890577.
4. Use the function f(x) = 2x + 5. When asked to find the value of x for which f(x) =17, Hudson answered 39. What mistake did Hudson make? What is the correct
answer?
Answer: The correct answer is 6. Hudson evaluated the function at x =17, instead of finding the the value of x.
Step-by-step explanation:
2( 1/2)+5
1+5= 6
What is the factored form of the
polynomial? x^2+ 19x + 60
Help
Answer:
(x+15)(x+4)
Step-by-step explanation:
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
rx:
x – 6 = -3x + 22
Answer:
X= 7
Step-by-step explanation:
What is the equation of the line that passes through the point (4, -3) and has a slope of 1?
Answer:
y=x-7
Step-by-step explanation:
y=mx+b
(-3)=(1)(4)+b
-3=4+b
-3=4+b
-4=-4+b
-7=b
then y=1x-7
then simplify and it gives you y=x-7
PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.
f(x) = -x^2+10x-6
Find f(-5)
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Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81
Answer:
-81
Step-by-step explanation:
$11000 is compounded semiannually at a rate of 8% for 19 years. What is the total amount in the compound interest account?
Answer:
all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1
2
acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent.
Which expression would give you the size of Scarlett’s campsite? Check all that apply.
One-half divided by 6
StartFraction 6 Over 7 EndFraction divided by 6
6 divided by one-half
StartFraction 6 Over 12 EndFraction divided by 6
6 divided by StartFraction 3 Over 6 EndFraction
Answer:
1/2 divided by 6
6/12 divided by 6
Step-by-step explanation:
Answer:
a - d
Step-by-step explanation:
solve the linear equation 7x-3=67 for x
Answer: x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
when we see something like 7x-3=67, we have to get x alone. the first step is to always cancel out the constant (the number that does not have a variable such as x connected to it). so to make -3 equal to 0 we have to add 3. what we do to one side we have to do to the other so after adding 3 on each side we get 7x=70. now here, we still have to get x alone. 7x means 7 times x so to undo this we have to do the opposite and divide each side by 7. 7 divided by 1 (and 1x is 1 times x which is just x so now we have x alone yaay) and 70 divided by 7 is 10. so x = 10.
I hope this helped :))
209.106 in expender form
Answer:
209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)
Answer:
200+9+0.1+0.006.
Step-by-step explanation:
Please answer question a & b.
a) Work out the following:
3/4 - 7/9 + 2
b). Which is the largest of the following numbers?
0.1, 0.02, 0.003, 0.0004, 0.00005
Please help due today.
Answer:
a)
b)0.1
pls refer to the pic
What’re these two problems simplified?
Step-by-step explanation:
-2(3x-12)+4-13
=-6x+24+4-13=-7x-15
=6x-15
4(5x-1)+8x-20=20x-4+8x-20
=28x-24
So this is ur solution.
But if u wnt to solve these eq. together thn it will be:-
6x-15=28x-24
6x-28x=-24+15
-22x=-9
x=22/9=2.44
Hope u like it.
Answer:
-8+9 is problem one
Step-by-st-ep explanation: