If f(x)= x^3 + 6x^2 - 9x + 14 and x-2 is a factor of f(x), then find all of the zeros of f(x) algebraically.
Answers
Answer
Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]
Explanation
Write properties of function: Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]
Answer: Write properties of function:
x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]
factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]
Related Questions
A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?
Answers
Answer:
5 feet long and 1 foot long and vise versa.
Step-by-step explanation:
If a person charging $36 by a quarter of the hour and worked 6hour and 30 minutes how much will they charge
Answers
Answer: 936
Step-by-step explanation:
36 x 4 = 144
$144 = 1 hour of work
so for 6 hours of work, you'd do 144 x 6 = 864
Since 30 minutes is 2 outta 4 quarters, then you'd do 36 x 2 which is 72
so 72 + 864 = 963
So 6 hours and 30 minutes would be $936
Hope this helps.
13. Solve for x.
140²
146
X =
Answers
Answer:
X=37.56
Step-by-step explanation:
which are undefined? sec(-pi/2) csc(3pi) cot(7pi/2) csc(-3pi/2) cot(5pi/3)
Answers
Answer:
[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]
The Undefined term is csc(3pi) and sec(-pi/2) .
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.
Thus, csc(3pi) is undefined
and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.
Thus, sec(-pi/2) is also undefined.
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A multiple choice question has five answer options of which two are correct, whast is the probabliuty od randoml;y choosing the correct pair?
Answers
Answer:
1/10 or 10%
Step-by-step explanation:
Probability of choosing one correct response: (2 correct options, 5 choices)
2/5
Once we've chosen one correct response, there are 4 options left, one of which is correct:
1/4
2/5 * 1/4 = 2/20 = 1/10
Hope this helps <3
Answer:
It is equally likely for 1, 2, 3, or all to be correct so probability is 1/4
Step-by-step explanation:
Toltal ways in which 2 options can be correct is (42), which is 6. Out of these only 1 is correct. So probability of selecting correct answer is 1/6. Since he has 5 chances the probability of getting marks is 1−(56)5. hope this helps if not let me know have a nice day
PLEASE HURRY!! A camera has a listed price of $845.98 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
926.35
Step-by-step explanation:
first find 9.5% x $845.98
=$80.37
then add $845.98 to $80.37
= $926.35
Pythagorean Theorem
a triangular garden is bound on with boards . one leg is 10 yards and long side is 17 yards . How long is the missing leg ? Round to the nearest 10th
I WILL MARK YOU BRAINLIEST IF ANSWERED CORRECTLY IF YOU DO NOT KNOW THE ANSWER PLS DONT COMMENT ON THIS THREAD
Answers
Answer:
? = 13. 35
Step-by-step explanation:
By using Pythagorean Theorem
H² = P² + B ²
=> 17² = P² + 10²
=> 289 = P² + 100
=> 289 - 100 = P²
=> 189 = P²
=> √189 = P
or P = 13.75
daniel wants to build a sandbox that has a perimeter of 20.5 feet . The length is 5.25
Answers
Ok, let's put this as an equation:
•20.5 = Width x 5.25
•Therefore 20.5 / 5.25 = Width
•Which comes to an answer of 3.9 feet.
I hope this helps! :)
Simplify the expression 1.8(x-4.2)+x
Solve this pls
Answers
Answer:
2.8x - 7.56
Step-by-step explanation:
1.8(x-4.2) + x
= 1.8x - 1.8(4.2) + x
= 2.8x - 7.56
hope this helps!
A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?
A.
$1 less
B.
$2 less
C.
$3 less
D.
$4 less
Answers
Answer:
A. $1 less
Step-by-step explanation:
24 divided by 8 (unit rate) = $3
28 divided by 7 = $4
4-3=1
PLEASE HELP REALLY NEED IT RIGHT NOW WILL GIVE CORRECT WORK WITH ANSWER BRAINIEST Find the area of X and show your work !!
Answers
x=(4+5redical(17)) / 4 or
x=(4-5redical(17)) / 4
Step-by-step explanation:
The formula of the area of a rectangle is given by A=L*W
Where L: is the length of the rectangle
And W: is the width of the rectangle
In the above figure, given that:
L=2x-5
W=x
A=50
This forms the equation:
(2x-5)(x)=50
Expand it:
2x^2 - 5x = 50
We are left with the quadratic equation: 2x^2 - 5x - 50 = 0
(a=2, b=-5, c=-50)
To solve a quadratic equation we have to find it's discriminant and check whether it is <0, >0, or =0
Note:
If discriminant<0, the equation has no real root
If discriminant>0, the equation has two real roots in the form of x1=(-b-redical discriminant) / 2a
x2=(-b+redical discriminant) / 2a
If discriminant=0, the equation has one real root in the form of x=-b/2ac
Now, back to our problem:
discriminant= b^2 - 4ac
= (-5)^2 - 4(2)(-50)
= 25 + 400= 425
discriminant=425>0 so the equation has two real roots
x1=(-b-redical discriminant) / 2a
= (-(-4)-redical(425)) / 2(2)
=(4-5redical(17)) / 4
x2=(-b+redical discriminant) / 2a
=(-(-4)+redical(425)) / 2(2)
=(4+5redical(17)) / 4
So as the final answer x=(4+5redical(17)) / 4 or
x=(4-5redical(17)) / 4
HOPE THIS HELPS :)
Answer:
x = 6.40
Step-by-step explanation:
The formula to find the area of the rectangle is :
Area = Length × Width
Given that,
Area ⇒ 50
Length ⇒ ( 2x - 5 )
Width ⇒ x
So now we can write an expression like this.
Area = Length × Width
50 = x ( 2x - 5 )
And now we can solve for x.
Let us solve now by using the completing square method.
x ( 2x - 5 ) = 50
2x² - 5x = 50
First divide the whole equation by 2.
x² - 2.5 = 25
x² - 2.5 + 1.5625 = 25 + 1.5625
( x - 1.25 )² = 26.5625
x - 1.25 = ±√26.5625
x - 1.25 = ±5.1538
So,
x = + 5.1538 + 1.25 or x = - 5.1538 + 1.25
x = 6.40 x = -3.90
As we cannot get a negative number as a value for length,
x = 6.40
How to Crammers Rule to find k in this equation
Answers
Answer:
k = -1/2 or 2
Step-by-step explanation:
For equations ...
ax +by +c = 0
dx +ey +g = 0
Cramer's Rule tells you the solutions are ...
x = (-ce +gb)/(ae -db)
y = (-ga +dc)/(ae -db)
In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.
__
first and third equations
x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)
second and third equations
x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)
__
For these values to be the same, we must have ...
(k -6)/(4-3k) = x = 26/(14k -15)
(k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply
14k² -99k +90 = -78k +104 . . . . . simplify
14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form
7(2k +1)(k -2) = 0 . . . . . . . . factor
The solutions are the values of k that make the factors zero: k=2, k=-1/2.
These equations will be consistent if k = -1/2 or k = 2.
_____
Additional comment
Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...
x = 26/(14(-1/2) -15) = 26/(-22) = -13/11
The first equation tells us the corresponding value of y will be ...
x +(-1/2 +1)y +1 = 0
y = -2(x+1) = -2(-13/11 +11/11) = 4/11
For k = -1/2, (x, y) = (-13/11, 4/11).
The attached graph shows the solution for k=2.
For k = 2, (x, y) = (2, -1).
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
CosA = 45/53
TanA = sinA/cosA = 28/45
Answer:
tanA=28/45
Tan(A) =Y/X or Opposite/ Hypotenuse
Miguel eats a meal at a restaurant and leaves a 15 % tip for the server. The cost of the meal without the tip is p dollars. Which expressions represent the total cost, in dollars, of the meal and the tip? Select ALL that apply.
Answers
Answer:
B,D, and E
Step-by-step explanation:
it's 15% so it would have to be either as a fraction or decimal answer B is a fraction. And D and E are both decimals so you add your percent to your p which is something.
The expressions A, D, and E represent the total cost of the meal and the tip.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The cost of the meal plus the tip is equal to the cost of the meal plus 15% of the cost of the meal. It can represent this in several ways:
A. 1.15p
D. p + 0.15p
E. p + 1.15p
All of these expressions represent the total cost of the meal and the tip.
Option B, 100P/15, does not represent the total cost of the meal and the tip.
Option C, p + 15, represents the cost of the meal plus a flat fee of 15 dollars, not 15% of the cost of the meal, so it does not represent the total cost of the meal and the tip.
Therefore, the correct answers are A, D, and E.
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1 Jack and Diane want to meet for breakfast. Jack walks 1.5 mph and Diane walks 1 mph. They started 5 miles apart from each other. How long does it take them to meet up?
anwers : jack take 3.33 hours and diane would take 5 hours
2 How far apart were they after 1 hour?
Answers
x = 5:1.5 = 3.33 [hours]
1mph (x) = 5m
x = 5:1 = 5 [hours]
After one hour, with JACK’S Speed :
5m - 1.5m = 3.5m [far apart]
After one hour, with DIANE’S Speed :
5m - 1m = 4m [far apart]
How many 150 ml bottles can be filled with 6 litres/
Answers
Answer:
40 bottles
Step-by-step explanation:
6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes
AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!
Here are the fuel efficiencies (in mpg) of 15 new cars.
44, 41, 27, 22, 44, 36, 18, 23, 30, 19, 32, 16, 28, 21, 42
What is the percentage of these cars with a fuel efficiency less than 32 mpg?
Answers
Answer:
[tex]60 \%[/tex]
Step-by-step explanation:
Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :
27,22,18,23 , 30 , 19,16,28,21
[tex]\text{the percentage} =\frac{9}{15} \times 100=60 \%[/tex]
can someone explain to me how to get 338 root 2 as the answer
Answers
Answer:
13√2
Step-by-step explanation:
The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.
√338 = √13^2x2 = V13^2 x √2 = 13√2
13√2 = 13 x 239/169 = 239/13 = 18.385
PLEASE HELP! I have made a pic of it. Hope you have a nice day
Answers
Select the correct answer. Subject On-Time Assignment Submission On-Time Arrival to Class Physics 89.7% 82.3% Math 88.2% 88.7% Chemistry 89.4% 83.1% Biology 90.1% 82.4% Total 88.5% 84.7% The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance of on-time assignment submission if it is a chemistry assignment? OA. 82.3% OB. 88.5% OC. 89.4% OD. insufficient data
Answers
The chance of on-time assignment submission if it is a chemistry assignment is insufficient data.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The probabilities by subject of on-time assignment submission and on-time arrival to class.
Before we can estimate the likelihood of interest, we must first know how many assignments are assigned in each class.
In physics, there were 25.1% of the on-time assignments, assuming that each class had the same number of assignments.
Here, we have insufficient data to find the on time submission.
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A rectangular prism has a volume of 240 cubic feet. One dimension is 10 feet. What could the two other dimensions of the prism?
Answers
Answer:
6 & 4
8 & 3
12 & 2
1 & 24
Step-by-step explanation:
Any pair of numbers whose product is 24
The number 24 multiplied by 10 results in 240
Hope this helps
I=2(w)-4
H=(w-1)
v=I*w*h
240=(2w-4)(w-1)w
We then foil
(2w^2 - 6w+4)w
Lastly multiply the w
Answer: 2w^3 - 6w^2 + 4w =240
Please verify my answer. Do this look correct to you? If not please explain
Answers
Answer:
y = e·x
Step-by-step explanation:
The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.
__
y = (e^x)(x^2 -2x +2
y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x
y' = (e^x)x^2 . . . . . simplify
For x=1, the slope is ...
y' = (e^1)(1^2) = e
__
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)
y = e·x -e +e . . . . . add e
y = e·x . . . . . . . . . . equation of the tangent line
__
Additional comment
It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.
15. Find the height of a parallelogram with an area of 41 square meters and
base 8.2 meters
Answers
EXPLANATION:
parallelogram area= Base x perpendicular height (so not the slanted height but the one from the Base to the top side).
Therefore height= area/base= 5m
Simone is four years older than her sister Olivia. Their combined ages is 28. What are their ages. Show all of your work
Answers
Answer:
Simone is 16 and Olivia 12 years old.
Step-by-step explanation:
"Simone is four years older than her sister Olivia."
(1) Simone age = Olivia age + 4
"Their combined ages is 28."
(2) Simone age + Olivia age = 28
→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)
Simone age + Olivia age = 28
Olivia age + 4 + Olivia age = 28, subtract 4 from both sides
Olivia age -4 +4 + Olivia age = 28 - 4
2· Olivia age = 24 , divide both sides by 2
Olivia age = 24/2
Olivia age = 12 years old
→ From the first equation (1) we have:
Simone Age = Olivia age + 4 = 12 + 4 = 16 years old
Check our answer:
"Their combined ages is 28 "
12 + 16 = 28 ✅
surface area of prisms need help ASAP I will give brainliest
Answers
Step-by-step explanation:
A=2πr(r+h)
A=6.28×14mm(+29mm)
A=77.92(14mm+29mm)
A=77.92×43
A=3350.56 mm
Hope it helps
KC
Use the point-slope formula to write an equation of the line that passes through (-1,-6) and (4, 1). Write the answer in slope-intercept form (if possible). h The equation of the line is
Answers
Answer:
y = 1.4x - 4.6
hope this helped :)
What value of x makes the
equation true? Write your
answer in the box below,
-1/4x-12=x+3
Answers
Answer:
[tex]x = -12[/tex]
Step-by-step explanation:
Step 1: Add 1/4x to both sides
[tex]-\frac{1}{4}x - 12 = x + 3[/tex]
[tex]-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x[/tex]
[tex]-12 = \frac{5}{4}x + 3[/tex]
Step 2: Subtract 3 from both sides
[tex]-12 - 3 = \frac{5}{4}x + 3 - 3[/tex]
[tex]-15 = \frac{5}{4}x[/tex]
Step 3: Multiply both sides by 4/5
[tex]-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}[/tex]
[tex]-12 = x[/tex]
Answer: [tex]x = -12[/tex]
-1/4x - 12 = x + 3
Add 12x from both sides to get
-1/4x = x + 15
Then minus x from both sides
-5/4x = 15
The divide by -5/4 to get
x = -18.75
Giving brainlest pls awnser quick
Answers
Brody goes out to lunch. The bill, before tax and tip, was $14.55. A sales tax of 6% was
added on. Brody tipped 25% on the amount after the sales tax was added. What was
the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answers
Answer:
Your answer is $19.06
Step-by-step explanation:
You have to multiply the money by the decimal. In this case 14.55 by 31% (0.31 basically), and then add that to the original price.
Use the picture attached!!
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
0
D.
2
Answers
Answer:
The Correct Answer is C.0.
Hope it hepls you Czn!
Please Mark me as Brainleast!!!!!!!!