Answer:
f(x) = x^3 + 7x^2 + 7x -15
Step-by-step explanation:
f(x) = (x+5)(x+3)(x-1)
f(x) = (x^2 + 3x + 5x + 15)(x-1)
f(x) = (x^2 + 8x + 15)(x-1)
f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15
simplify
f(x) = x^3 + 7x^2 + 7x -15
Answer:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
Step-by-step explanation:
By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)
For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].
Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].
All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].
Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:
[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].
When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:
[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].
Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?
29 Nickels
15 Dimes
Hope this is helpful!
Pls help! And USE QUADRATIC FORMULA
Answer:
the answer is A
Step-by-step explanation:
1. y=3x^2-2x-2
0=3x^×-2x-2
2. 3x^2-2x-2=0
[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]
3.
[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]
4.
[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]
5.
[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
Can someone help me with this plis
Answer:
it is c
Step-by-step explanation:
reciprocal of 2 3/11
Answer:
11/25
Step-by-step explanation:
Reciprocal is the fraction flipped
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute it takes him to complete the drawing.Write an equation to match the situation.
Answer:
2x+5
Step-by-step explanation:
Equation y = 3x + 5 correctly represents the situation.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.
Let x be the number of each extra minutes.
And y be the total fees.
So, the equation;
The total fee = Charges of x minutes + initial fee.
y = 3x + 5
Therefore, the equation is y = 3x + 5.
To learn more about the equation;
https://brainly.com/question/12788590
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Given the two similar triangles below, which proportion is true?
Answer:
B) 10/15 = 15/22.5
Step-by-step explanation:
For the two triangles, proportions that involve ratios of the corresponding sides are true.
please help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
HELPPPPPPOOOO SHOW WORKING ALSO THANKS
Step-by-step explanation:
I have explained that in the sheet
Determine the intercepts of the line.
Answer:
x = 5/3 or 1.67 and y= 2.5 or 5/2
Step-by-step explanation:
Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y
so
3x + 2y =5
3× + 2 (0)=5
3×=5
×=5/3 or 1.67
Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y
3x + 2y =5
3 (0) + 2y = 5
2y=5
y= 5/2 or 2.5
please answer , thank you in advance to whoever does !!!!
HELPPPPP!!!!!!!!!!!!!!!!!!!! THIS IS DUE IN 17 MINUTES AND THIS IS THE LAST QUESTION I NEED THE ANSWER TO! (((PLEASE ACTUALLY GIVE ME THE ANSWER AD NOT THE LINKY PLEASE!!)))
Answer:
689/1000
hope this helped
This graph represents the design of a child’s slide what is the slope of the slide
Answer:
I think it is 1/2 because it goes up 1 over 2
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answer: 5 kilometers.
Step-by-step explanation:
The perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction.
Answer:
4.8 cmStep-by-step explanation:
Given,
Perimeter of an equilateral triangle = 14.4 cm
As we know,
Perimeter of an equilateral triangle = 3 × sides (s) = 3s
Therefore,
By the problem,
=> 3s = 14.4 cm
[On dividing both sides with 3][tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]
[On Simplification]=> s = 4.8 cm
Hence,
The required side of the given equilateral triangle is 4.8cm(Ans)
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
3.75
Word form
please help
Answer:
three and seventy-five hundredths or three point seven five
Step-by-step explanation:
Please help me solve this much appreciated
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
the answer of the question is 4
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°
Answer:
sine 70 = opposite / hypotenuse
sine 70 = 12 / x
x = 12 / sine 70
x = 12 / 0.93969
x = 12.7701688855 cm
x = 12.8 cm (rounded to nearest tenth.
Step-by-step explanation:
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
Simplify x⁷y⁹ ÷ x³y⁶
In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
Can someone help me with this x / 12 = -8
X/12 = -8
Solve for x by multiplying both sides by 12
X = -96
Answer:
X=12*-8-----> X= -96. multiply 12 by -8
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
3q+3.97=7.57 please help im stuck on ixl
Answer:
1.2
Step-by-step explanation:
3q+3.97=7.57
3q=7.57-3.97
3q=3.6
q=3.6/3
q=1.2
534 divided by 43. Please help..
Answer:
Step-by-step explanation:
The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...
1) [tex]\frac{534}{43}[/tex]
2) 12[tex]\frac{18}{43}[/tex]
3) 12.41861