Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
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The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
What is an equation of the line that passes through the points (-4, 2) and
(-8, -3)?
What is the approximate area of the circle shown below?
A. 11.0 cm2
B. 220 cm2
C. 154 cm2
D.38.5 cm2
* Use order of operations to solve the following.
* Use order of operations to solve the following.
3 + 5 2 × 2 −7
Answer:
5
3+5 2×2 -7
8+4-7
12-7
5
^^^^
Condense:
Ln 40 + 2 ln 1/2 + ln x
ln(40) + 2ln(1/2) + ln(x)
First, you should take the 2 and put it back in the argument. Since it's a coefficient, when you put it back it in would be a power. That changes 2ln(1/2) to ln(1/2 ^ 2), which is ln(1/4).
ln(40) + ln(1/4) + ln(x)
Then, to add these, we just multiply the arguments, meaning we just have:
ln(40 * 1/4 * x)
Multiply and then we're done.
ln(10x)
Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).
What is logarithmic function?Logarithmic function is function is an " inverse of an exponential function so that the independent variable appears logarithmic function".
According to question,
Ln 40 + 2 ln 1/2 + ln x
Properties of Logarithmic function [tex]x ln (a) = ln(a^x)[/tex].
Using above properties we can write [tex]2 ln \frac{1}{2}[/tex] [tex]= ln(a^(\frac{1}{2})^2)[/tex] [tex]=ln(a^\frac{1}{4})[/tex].
Properties of Logarithmic function [tex]ln(a) + ln(b) = ln(ab)[/tex]
Using above properties we can write Ln 40 + 2 ln 1/2 + ln x as [tex]ln(40 . \frac{1}{4}.x)[/tex].
= [tex]ln(10x)[/tex]
Hence, Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).
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A car that has a wheel radius of 1.5 feet travels 30 miles in 45 minutes. How fast are the wheels spinning? Give your answer in revolutions per minute.
Answer:
373.43 rev/min
Step-by-step explanation:
Given data
r= 1.5ft
v=30 miles per 45 minutes
convert miles per hour to ft per minute
=30miles/45 minutes* 5280ft/1 mile
=158400/45 minutes
v=3520 feet per minute
so
v=wr
substitute
3520= w*1.5
w= 3520/1.5
w=2346.66 rad/min
Convert to rev/min
=2346.66 rad/min*1rev/2*π rad
=2346.66/2*3.142
=2346.66/6.284
=373.43 rev/min
Hence the answer is 373.43 rev/min
the number of candy bars most people can eat in one sitting has an order of magnitude of 3 true or false?
3 ft
14 ft
16 ft
What is the area of the Japanese garden around the koi pond? Use 3.14 for x
195.74ft?
224.00ft?
252.26ft?
337.04f2
Answer:
195.74
Step-by-step explanation:
The whole area including the circle is 224
14×16=224
If you don't include the circle it must be less than including it. This is the only option less than 224
Rewrite the expression using the Distributive Property. Explain your answer or show your work.
6(x−4)
Answer:
6x - 24.
Step-by-step explanation:
Distributive Property is:
a(b + c)
= ab + ac
So for this expression
6(x - 4)
= 6*x + 6 * -4
= 6x - 24.
I need help with this question geometry
Answer:
sorry
Step-by-step explanation:
Answer:
y=15
∠P=113
∠Q=67
∠R=113
∠S=67
Step-by-step explanation:
10y-37+4y+7=180
14y=210
y=15
∠P=10(15)-37=113
∠Q=180-113=67
Which expression has the same value as the one below?
33 + (-10)
O Α. 43
Ο Β. 33
Ο C. 33 - 10
O D. 33 + 10
Use the graph to solve the following:
When f(x)=5
9514 1404 393
Answer:
x = -3 or 0
Step-by-step explanation:
Locate the horizontal line y = 5. Identify the x-values where the graph crosses that line. They are x = -3 and x = 0.
-2(3-x)=10
-What is x
-Show how you solved it
Answer:
2x3-x=10
6-x=10
x=10+6
.
. .x=16
Need help don’t know what’s to do on this
Answer:
the first graph since the y intercept is -2 and the line hit -2
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.
Answer:
$78 i think
Step-by-step explanation:
20%=20/100
20/100x65=13
13+65=78
$78
factor the expression using gcf 69 + 84
Answer:23/28
Step-by-step explanation:
69 + 84 = 23/28
if you divide it by 3
A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo paper that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?
Answer:
the amount that nearest to the paper cost with the discount but before tax is $12.83
Step-by-step explanation:
The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:
= Cost of a photo paper - discount
= $13.50 - 5% of $13.50
= $13.50 - $0.675
= $12.83
Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83
Select all the expressions that are rational numbers.
A. 3.14159...
B. -9.1234567123...
C. -9.293847210103938...
D. 22/7
E. -26
Neeed helpp on this question
Answer:
y=4x-9
Step-by-step explanation:
slope is rise/run
choose one point and do rise/run until you get to the next point
from the graph you can see the y-intercept is -9
Answer:
y=2x+-9
Step-by-step explanation:
this is the answer
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. What is the current population of this town?
Answer:
25,200
Step-by-step explanation:
Increase in population per year =8%=((100+8)*10,000)/100=10,800. So,there will be an increment of 800 people to the population every year. =>after twenty years,the total population=10,000+19*(800)=25,200.
Answer:
10800
Step-by-step explanation:
10000+8%=10800
hope this helps:)
(-Z - 8) - (62-5)
Help me please thank
Answer: -z-65
Step-by-step explanation:
Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.
Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.
Answer:i dont kno what number u put
Step-by-step explanation:
100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
At the Boxer carnival, you can exchange 56 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single goldfish?
1 goldfish, 6 tacky mirrors, 2 stuffed tiger
3 goldfish, 2 stuffed tiger
4 goldfish, 2 tacky mirrors
Answer:
Step-by-step explanation:
12 tickets
x + 11 < 6
Solve and graph on a number line
Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
Sarah interviewed for a job that promised her a starting salary of $37,000
with a $1550 raise at the end of each year. What will her salary be during
her sixth year if she accepts the job
PLZZZ HELP
Find the circumference of the circle.
Answer:
Step-by-step explanation:
circumference=2[tex]\pi[/tex]r
=2 x 22/7 x 7m
=44m
Which of these must be true
Sarah's family raises chickens. They buy 15 pounds of chicken feed per week. If the chickens eat all but 4 pounds, how many ounces of feed did they eat?
Answer:
144 ounces
Step-by-step explanation:
Plz mark as brainliest
Leila and Jo are two partners in a business. Leila makes $2 in profits for every $3 that Jo makes. If Jo makes $18 profit on the first item they sell, how much profit does Leila make?
Answer:
I think the answer is 12
Step-by-step explanation:
Because Jo made $3 6 times so you multiply that by what Lelia makes. So 2 x 6 = 12?
Write an equation for the description.
A number x increased by 17 is 112.
Answer:
x+17 = 112
Step-by-step explanation:
Vocabulary:
Increased = Addition
Is = Equal Sign
x+17 = 112