Answer:
f(x) = x^3 - 6x^2+8x
Step-by-step explanation:
Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).
The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:
x=0 and x=2 and x=4
Just "undo" that last step of solving and you get:
x = 0 and
x - 4 = 0 and
x - 2 = 0
These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.
so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.
(x - 2)(x - 4)
use FOIL or distributive property or area model(box) method to multiply and get
x^2 - 6x + 8
Then multiply in the x using distributive property.
f(x) = x(x^2-6x+8)
f(x) = x^3 - 6x^2 + 8x
That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.
A person invest $8800 in an account at 7% interest compounded annually. When will the value of the investment be 13,200? (Type an integer or decimal rounded two decimal places as needed)
Answer:
21.43
Step-by-step explanation:
Turn 7 percent to a decimal: 0.07
8800 × 0.07 = 616
13,200÷616=21.4285 etc
Round two decimal places
21.43
Solve (2x + 1) (2x + 6) - 7(x - 2) = 4(x + 1)(x - 1)-9x
Answer:
x is equal to -34/16
Step-by-step explanation:
Hey there!
In order to solve for x, we need to first simplify everything
After simplifying, it will look like this:
[tex](4x^2+14x+16)-7x+14=4x^2-4-9x[/tex]
Now you can simplify by combining like terms
[tex]4x^2+7x+30=4x^2-9x-4[/tex]
You can cross out [tex]4x^2[/tex] from both sides and then simplify even more by again combining like terms
[tex]16x+34=0\\16x=-34\\x=-34/16[/tex]
So x is equal to -34/16
To solve the given equation, let's simplify and expand both sides:
[tex]\displaystyle\sf (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)-9x[/tex]
Expanding the brackets:
[tex]\displaystyle\sf (4x^{2}+13x+6)-7x+14=4(x^{2}-1)-9x[/tex]
Simplifying further:
[tex]\displaystyle\sf 4x^{2}+13x+6-7x+14=4x^{2}-4-9x[/tex]
Combining like terms:
[tex]\displaystyle\sf 4x^{2}+6x+20=4x^{2}-9x-4[/tex]
Subtracting [tex]\displaystyle\sf 4x^{2}[/tex] from both sides:
[tex]\displaystyle\sf 6x+20=-9x-4[/tex]
Bringing all the variables to one side and the constants to the other side:
[tex]\displaystyle\sf 6x+9x=-4-20[/tex]
[tex]\displaystyle\sf 15x=-24[/tex]
Dividing both sides by [tex]\displaystyle\sf 15[/tex] to solve for [tex]\displaystyle\sf x[/tex]:
[tex]\displaystyle\sf x=-\frac{24}{15}[/tex]
Simplifying the fraction:
[tex]\displaystyle\sf x=-\frac{8}{5}[/tex]
Therefore, the solution to the equation is [tex]\displaystyle\sf x=-\frac{8}{5}[/tex].
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Enter the values needed to find the
length AB. (Simplify your answer.)
A(-3a, b)
F
В(3a, b)
AB = ([?])2
✓([?])2 + (0)2
Distance Formula: d = x)2 + (92-y)
C-a Sb)
Enter
Answer:
The missing value is 6a
Step-by-step explanation:
Given:
[tex]\displaystyle \large{A(-3a,b)}\\\displaystyle \large{B(3a,b)}[/tex]
Find:
Missing Value
Distance Formula:
[tex]\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Determine:
[tex]\displaystyle \large{(x_2,y_2)=(3a,b)}\\\displaystyle \large{(x_1,y_1)=(-3a,b)}[/tex]
Input given information above in the formula:
[tex]\displaystyle \large{AB=\sqrt{(3a-(-3a))^2+(b-b)^2}}\\\displaystyle \large{AB=\sqrt{(3a+3a)^2+(0)^2}}\\\displaystyle \large{AB=\sqrt{(6a)^2}}\\\displaystyle \large{AB=6a}[/tex]
The length is 6a but since we want to find the value in the square root then the answer is still 6a
work out 7 1/2 x 3 2/3
give your answers as a mixed number
Answer:
27½
Step-by-step explanation:
7½×3⅔=((7×2+1)/2) × ((3×3+2)÷3)
= (15×11)÷6=165/6
165/6= 27½
The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] simplifies to [tex]3\frac{5}{6}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The expression [tex]7\frac{1}{2} - 3\frac{2}{3}[/tex] is 15/2 - 11/3.
Now, LCM of 2 and 3 is 6.
∴ (45 - 22)/6.
= 23/6.
= [tex]3\frac{5}{6}[/tex]
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
Step-by-step explanation:
To get the equation, you must create the factors containing the roots.
So for example the first set of roots can be produced from
(x -2)(x^2 + 9)
which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives
x^3 -2x^2 + 9x - 18
The second one is a bit more difficult to judge.
-5 and -3+ square root(2)
I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)
Which real-life data set has a distribution that is skewed right?
a. prices of movie tickets
b. height of adults in town
c. salaries of employees at a large company
d. ages of students im a high school algebra class
Help picture below problem 11
Answer:
angle S = 61
Step-by-step explanation:
triangles angles should all add up to 180.
so, if you do 68+51 it should equal 119
then you will do 180-119 which gives you 61.
Answer:
i believe the answer is 61
Step-by-step explanation:
I added the current angles together to get 119 and then subtracted 180 from it and got 61.
Determine the most appropriate model for the data in the table. (0,4)(1,8)(2,15.9)(3,32)(4,65.2)(5,128) Select from the drop-down menu to correctly complete the statement. A(n)____model is the most appropriate model for the given data.
A quadratic model would be the most appropriate model for the given data set.
What is a quadratic model?A quadratic model can be defined as a mathematical model which represents a quadratic equation with a single variable of degree 2.
Aso, a quadratic model is mainly symmetrical because the relationship between its variables when plotted on a graph forms a parabola.
In this scenario, the value of the graph at y(1) is equal to y(2) and y(0) is approximately equal to y(3) as shown in the image attached below, which simply means it is symmetrical about this axis.
Read more on quadratic equation here: brainly.com/question/1214333
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Find x in each triangle
Answer:
i hope it helped you
Step-by-step explanation:
please check it out thanks
Answer:
9
Step-by-step explanation:
by using the pythagoras theoremx =15^2 -12^2 the answer u get,find the square rootx= 225-144=81x=√81x=9I hope that helps...
Which values of m and b will create a system of equations with no solution? choose 1 options.
Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
please add these number togeather
Answer:
314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79
=840.75
(2ax -6by + 4cz )+ (4by-14ax)+(9cz-4ax-6by) add the following expression pls i will mark you a brainest
Answer:
=2ax -6by +4cz + 4by -14ax +9cz -4ax -6by
=2ax -14ax -4ax -6by +4by -6by +4cz +9cz
= -16ax -8by +13cz
Grade 3 M
8
A store had 800 T-shirts in stock for a weekend sale. T-shirts are sold in packs of 4 each.
During the sale, 20 packs of T-shirts were sold on Saturday, and 70 more packs were
Write an equation that can be used to find the number of T-shirts, x, the store still has
sold on Sunday.
Equation
How many T-shirts does the store still have left to sell?
Show your work
Answer:
440 more tshirtS
Step-by-step explanation:
because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440
70×4=280+20×4-800
What is the measurement of angle P? MPO O A.) 36° O B.) 64° O C.) 116° O D.) 244°
Answer:
Well, there is no picture so theres no way to know what it could be. All I can do is guess.
B
if x-y= -10 and x-y=2 what is the value of x
can someone help me how to do this pls
Answer:
the most closest answer is D because the formula is 3.14 x radius² x height
Step-by-step explanation:
if its right can I have brainliest
Find the volume please help I don't understand.
By dividing the figure into a rectangular prism and a pyramid, we will see that the total volume is 2,400 ft^3
How to find the volume?
We can divide the given figure into two simpler ones.
A rectangular prism of 20 ft by 10 ft by 10 ft, whose volume is the product of these dimensions:
V = 20ft*10ft*10ft = 2,000 ft^3
And a pyramid of 4 sides, with a height of 6ft and a base of 20ft by 10ft, and we know that the volume of the pyramid is one-third of the product between the base and the height.
V' = (1/3)*6ft*(20ft*10ft) = 400ft^3
Then the total volume of the given figure is:
volume = V + V' = 2,000ft^3 + 400ft^3 = 2,400 ft^3
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
Solve, using the correct order of
operations, when x = 8 and y = 6.
2x - (4 + y)
Step-by-step explanation:
When x = 8 and y = 6
= 2x - ( 4 + y )
Put the value of x and y ...
= 2 × 8 - 4 × 6
Multiply 2 and 8 and 4 and 6 ...
= 16 - 24
Subtract it
= - 8
Hence...the answer is -8 ....
Help me please !!!!!!
Answer; hi sisters daddy chill
Step-by-step explanation:
Find the area of the Rhombus below.
Answer:
90m^2
Step-by-step explanation:
1/2 d1*d2
1/2 12*15
1/2*180
90 Square meter
A culture started with 6000 becteria. after 3 hours it grew to 7200 becteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: 13,600.
Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600
Help help math math math math
Answer:
C. -3/7
Step-by-step explanation:
Irrational numbers: cannot be written as a fraction
Rational numbers: can be written as a fraction
The only option that contains a fraction, is C
Hope this helps!
Option C
Solution:Rational numbers can be expressed as a fraction in the form [tex]\displaystyle\frac{p}{q}[/tex], where p is the numerator and q is the denominator.Now, which numbers can and cannot be expressed as a fraction?First of all, can we express [tex]\sqrt{12}[/tex] as a fraction? No, it's a surd.Can we express [tex]\pi[/tex] as a fraction? No. Remember, pi is irrational. It has an infinite number of digits after the decimal point (same with √12)Can we express [tex]-\displaystyle\frac{3}{7}[/tex] as a fraction? Sure. What's more, it's already a fraction.Can we express √7 as a fraction? No. It's also irrational, like √12 and π.Hope it helps.
Do comment if you have any query.
i need help please
Answer:
The answer is 35 degrees
Step-by-step explanation:
Subtract 105 degrees and 40 degrees from 180 degrees
So just 180 - 105 - 40 =35
Answer:
35 degrees
Step-by-step explanation:
If IN = 2x + 10 and AT = 26, find x. Group of answer choices 10 8 12 6
Answer:
your answer is B. 8
Step-by-step explanation:
Substitute x for 8.
2(8)+10
16+10=26
Sample question.....asajs
Answer:
Bob
Step-by-step explanation:
Answer:
..............................
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Hi, I need help. What is 4 1/12 + 5 3/12?
Answer:
9 4/12
Step-by-step explanation:
Just add the mixed numbers 4 + 5 = 9
Add the fraction numerators 1 +3 = 4
*Since the denominator is the same, we just add the numerators
9 4/12
Answer:
as decimal 9.33333
Step-by-step explanation:
4 1/12 + 5 3/12 = 28/3 = 9 1/3
Find the solutions to the equation below.
Check all that apply.
4x^2 - 4x - 2 = 0
A. x = -1/2
B. x = 3/2
C. x = 1/2
D. x = -2
E. x = 3
F. x = 2
Answer:
A and B.
Step-by-step explanation:
4x^2 - 4x - 3 = 0
4x^2 + 2x - 6x - 3 = 0
2x(2x + 1) - 3(2x + 1) = 0
(2x - 3)(2x + 1) = 0
x = 3/2, -1/2.
6. If 2 cards are drawn from a standard deck with replacement, find the probability of drawing a face card and an even number.
Answer:
15/169
Step-by-step explanation:
There are 52 cards in a standard deck. Of those 52 cards, 12 are face cards and 20 are even numbered. To find the probabily in this situation, we multiply 12/52 by 20/52. This gives us 240/2704. This can be reduced to 15/169.
A ABC = ADEF. What is the measure of AB?
D
24 cm
16 cm
E
20 cm
F
OA) 16 cm
OB) 20 cm
OC) 24 cm
D) 36 cm