Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the factors of function f, and use them to complete this statement. From left to right, function f has zeros at , , , and .
Answers
The factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.
In the question, we are asked to find the factors of the function f, and complete the given statement.
The function f, given to us is:
f(x) = 2x⁴ - x³ - 18x² + 9x.
To factor the function, we first group the terms as follows:
f(x) = (2x⁴ - 18x²) - (x³ - 9x).
Now, we take common terms out of the group as follows:
f(x) = 2x²(x² - 9) - x(x² - 9).
Now, we again take common terms, as follows:
f(x) = (2x² - x)(x² - 9),
or, f(x) = x(2x - 1)(x + 3)(x - 3).
This is the factored form of the given function, f.
The statement given to us is:
From left to right, function f has zeros at x = _, x = _, x = _, and x = _.
To find the zeroes of the function, we equate the factorized form to 0.
x(2x - 1)(x + 3)(x - 3) = 0.
By zero-product rule, the zeroes are at:
x = 0,
2x - 1 = 0, or, x = 1/2,
x + 3 = 0, or, x = -3,
x - 3 = , or, x = 3.
Arranging these in ascending order, the zeroes are at: -3, 0, 1/2, and 3.
Thus, the factorized form of the given function, f(x) = 2x⁴ - x³ - 18x² + 9x, is, f(x) = x(2x - 1)(x + 3)(x - 3), and the complete statement is, From left to right, function f has zeros at x = -3, x = 0, x = 1/2, and x = 3.
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For the complete question, refer to the attachment.
Answer: Edmentum/plato
Step-by-step explanation:
Related Questions
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
Answers
Answer:
can we see the model
Step-by-step explanation:
What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answers
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?
Answers
Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3
Answers
Given:
The expression is
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
Using distributive property, we get
[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]
[tex]=-6y+9+3y-6[/tex]
On combining like terms, we get
[tex]=(-6y+3y)+(9-6)[/tex]
[tex]=-3y+3[/tex]
Therefore, the correct option is B.
Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
Slope = -7/2
Step-by-step explanation:
The standard equation of a line is expressed as y = mx+c
m is the slope
c is the y-intercept
Given the equation y = -7/2 x - 5/8
Compare with the general equation
mx = -7/2x
Divide both sides by x
mx/x = -7x/2x
m = -7/2
Hence the slope of the line is -7/2
2/3z=-6
Help please!!
Answers
Answer:
z = -9
Step-by-step explanation:
Find the approximate sum of the series shown below.
Answers
Answer:
[tex]The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\[/tex]
[tex]=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)[/tex]
Solve for n:
1-5|n-9|=-74
I need answer by 12:10, please help!!!
Answers
Answer:
[tex]n=-6, 24[/tex]
Step-by-step explanation:
We are given:
[tex]1-5|n-9|=-74[/tex]
Subtract 1 from both sides:
[tex]-5|n-9|=-75[/tex]
Divide both sides by -5:
[tex]|n-9|=15[/tex]
By definition of absolute value:
[tex](n-9)=15\text{ or } -(n-9)=15[/tex]
Solve for each case:
[tex]n=24\text{ or } n=-15+9=-6[/tex]
Therefore, our two solutions are:
[tex]n=-6, 24[/tex]
four and sixty eight thousandths in decimal form
Answers
Answer:
4.068
Step-by-step explanation:
( i think. I haven't done decimals in a while)
The value of each digit in a number is known as the place value. The four and sixty-eight thousandths in decimal form can be written as 4.068.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The given number can be written as,
Four → 4Sixty-eight thousandths → 68×(1/1000) = 68/1000 = 0.68Now, we can write the complete number as,
Four and sixty eight thousandths = 4 + 0.68 = 4.068
Hence, the four and sixty-eight thousandths in decimal form can be written as 4.068.
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[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]
Answers
8485.281374
Just use the calculator
Find the slope of the line through the given points (3,2),(3,1)
Answers
This is because the x coordinates of each point are the same (both are 3). These two points form a vertical line, and any vertical line has an undefined slope.
We could use the slope formula to see that...
m = (y2-y1)/(x2-x1)
m = (1-2)/(3-3)
m = -1/0
m = undefined
We cannot divide by zero, so that's why the slope is undefined.
if 2x + 16 = -6x what is x
Answers
Answer:
x = -2
Step-by-step explanation:
Answer:
x is -2
Step-by-step explanation:
8x+16=0
subtract 16 from both sides
8x=-16
Divide each term by 8 and simplify
x=-2
A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form
Answers
Answer:
ok
Step-by-step explanation:
HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
Answers
i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one
Answers
2/8 and 7/28 both simplify to 1/4
Quantity A: 2 8
Quantity B: 7 28
2 x 3,5 = 7
8 x 3,5 = 28
find the time it would take to triple an initial deposit of $2,000 at an interest rate of 8%, compounded semi-annually
(rounded to the nearest whole year)
Answers
What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid
Answers
Answer/Step-by-step explanation:
To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.
3=g/-4-5 g=??
i need help asappp
Answers
Answer:
g = -32
Step-by-step explanation:
Answer:
g= -32
Step-by-step explanation:
3=g/-4(-5)
add five
8=g/-4
multiply by -4
-32=g
Pls help ASAP!! 15 points?
Answers
Answer:
4 gte g
Step-by-step explanation:
Answer:
g < 4
Step-by-step explanation:
−12<−3g
Step 1: Flip the equation.
−3g>−12
Step 2: Divide both sides by -3.
−3g
−3
>
−12
−3
g < 4
help please !!! it's 6th grade math
Answers
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
Can someone please help me! Right answer gets brainliest!!
Answers
Answer:
Step-by-step explanation:
Equation: x+6=13
Solution x=7
I hope this helps!
Do well!
Which is the best estimate for the percent equivalent to 3/8? 26% 27% 37% 38%
Answers
what are the values of AB and DE in parallelogram ABCD?
Answers
Answer:
AB equals 13 and DE equals 7.
Step-by-step explanation:
In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.
The solution is
The value of AB of the parallelogram is 13
The value of DE of the parallelogram is 7
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
The value of side CD = 13
The value of side BC = 23
The value of side AE = 16
AD = AE + ED
And , Opposite sides are parallel in a parallelogram
Now , the value of side AB = CD
So , the value of side AB = 13
And , The value of side BC = AD
So , the value of AD = 23
AD = AE + ED
Substituting the values in the equation , we get
23 = 16 + DE
Subtracting 16 on both sides of the equation , we get
DE = 23 - 16
The value of side DE = 7
Hence , the value of side AB = 13 and value of side DE = 7
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Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?
Answers
Answer:
compró 4 cajas q contenían 3 vasos
y 9 cajas q contenían 5 vasos
EJEMPLO: 4x3=12 + 9x5=45
12+45=57
esa es la respuesta y te puse el ejemplo para q le entiendas más
I need help plz, thank you!!!
Answers
How do I write a phrase in words as an algebraic expression for 8/d?
Answers
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
Find FG
FGH= 49
GH=31
Answers
Answer:
18Step-by-step explanation:
From the given diagram;
FGH = 49
GH = 31
Using the expression to get FG;
FG + GH = FGH
FG + 31 = 49
FG = 49-31
FG = 18
Hence the measure of FG is 18
plz help me
which graph best represents a function with a domain of all real numbers less than 5?
Answers
It's graph(B).
Imma 100% sure 'bout this. Mark it!
The domain of a graph is the list of possible x values of the graph
Graph B has the domain of all real numbers less than 5
From the list of options, we have the following observations.
For graphs A and C,
The curves extend across the x-axis.
So, the domain is: [tex](-\infty,\infty)[/tex]
For graph D,
The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,0)[/tex]
For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,5)[/tex]
The domain [tex](-\infty,5)[/tex] means that:
All real numbers less than 5
Hence, the domain is illustrated on graph B
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Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Answers
Answer:
q122a
Step-by-step explanation:
21.6/12x = 34.2 does anyone know how to do this?
Answers
Answer:
x = 32.6
Step-by-step explanation:
Please share the instructions: "Find the value of x ... " Also, indicate whether x is in the numerator or denominator.
If in the numerator, then we have (12.6/12)x = 34.2.
Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6